%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP254-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:32:28 PM UTC 2026
% Result : Unsatisfiable 38.07s 7.92s
% Output : CNFRefutation 50.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 82
% Syntax : Number of formulae : 11932 (1002 unt; 16 def)
% Number of atoms : 80089 (29787 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 21639 (2928 ~;18711 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 4308 ( 0 sgn4308 !; 0 ?;4269 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c12 = inverse(sk_c4)
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c5) = sk_c11
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c11 = inverse(sk_c5)
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c6) = sk_c9
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,negated_conjecture,
( inverse(sk_c7) = sk_c9
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( sk_c9 = inverse(sk_c7)
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c11 = inverse(sk_c5)
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c9 = inverse(sk_c6)
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f36,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f38,plain,
( inverse(sk_c8) = sk_c7
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c7) = sk_c9
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f40,plain,
( sk_c9 = inverse(sk_c7)
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = inverse(sk_c1) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c12 = inverse(sk_c4)
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c5) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c11 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c6) = sk_c9
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f56,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f58,plain,
( inverse(sk_c8) = sk_c7
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c7) = sk_c9
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c7)
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c2,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f62,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c12 = inverse(sk_c4)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c9 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f76,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( inverse(sk_c8) = sk_c7
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( inverse(sk_c7) = sk_c9
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f80,plain,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f82,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c12 = inverse(sk_c4)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c11 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c9 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f96,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f98,plain,
( inverse(sk_c8) = sk_c7
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( inverse(sk_c7) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f100,plain,
( sk_c9 = inverse(sk_c7)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f102,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f106,plain,
( sk_c12 = inverse(sk_c4)
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f105]) ).
fof(f107,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f108,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f107]) ).
fof(f109,negated_conjecture,
( inverse(sk_c5) = sk_c11
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f110,plain,
( sk_c11 = inverse(sk_c5)
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f112,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( inverse(sk_c6) = sk_c9
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f114,plain,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f116,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f118,plain,
( inverse(sk_c8) = sk_c7
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f117]) ).
fof(f119,negated_conjecture,
( inverse(sk_c7) = sk_c9
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f120,plain,
( sk_c9 = inverse(sk_c7)
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f119]) ).
fof(f121,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c3,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f122,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c12) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( multiply(X7,X6) != X8
| inverse(X8) != X6
| inverse(X7) != X8
| multiply(X6,sk_c11) != sk_c12
| inverse(X5) != X6
| multiply(X5,X6) != sk_c12
| inverse(X4) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| inverse(X3) != sk_c12
| multiply(X3,sk_c12) != sk_c11
| multiply(X2,sk_c12) != sk_c10
| inverse(X2) != sk_c10
| inverse(X1) != sk_c11
| multiply(X1,sk_c11) != sk_c10
| inverse(X0) != sk_c12
| multiply(X0,sk_c12) != sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f124,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( multiply(X7,X6) != X8
| inverse(X8) != X6
| inverse(X7) != X8
| sk_c12 != multiply(X6,sk_c11)
| inverse(X5) != X6
| sk_c12 != multiply(X5,X6)
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12)
| sk_c10 != multiply(X2,sk_c12)
| sk_c10 != inverse(X2)
| sk_c11 != inverse(X1)
| sk_c10 != multiply(X1,sk_c11)
| inverse(X0) != sk_c12
| sk_c11 != multiply(X0,sk_c12) ),
inference(reorient_equations,[],[f123]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X8,X7,X4,X5] :
( multiply(X7,inverse(X5)) != X8
| inverse(X5) != inverse(X8)
| inverse(X7) != X8
| sk_c12 != multiply(inverse(X5),sk_c11)
| sk_c12 != multiply(X5,inverse(X5))
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12)
| sk_c10 != multiply(X2,sk_c12)
| sk_c10 != inverse(X2)
| sk_c11 != inverse(X1)
| sk_c10 != multiply(X1,sk_c11)
| inverse(X0) != sk_c12
| sk_c11 != multiply(X0,sk_c12) ),
inference(equality_resolution,[],[f124]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(inverse(X7))
| sk_c12 != multiply(inverse(X5),sk_c11)
| sk_c12 != multiply(X5,inverse(X5))
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12)
| sk_c10 != multiply(X2,sk_c12)
| sk_c10 != inverse(X2)
| sk_c11 != inverse(X1)
| sk_c10 != multiply(X1,sk_c11)
| inverse(X0) != sk_c12
| sk_c11 != multiply(X0,sk_c12) ),
inference(equality_resolution,[],[f125]) ).
tcf(c_113,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_114,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_116,negated_conjecture,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_118,negated_conjecture,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_120,negated_conjecture,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_122,negated_conjecture,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_125,negated_conjecture,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_128,negated_conjecture,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_129,negated_conjecture,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_130,negated_conjecture,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_131,negated_conjecture,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_132,negated_conjecture,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_133,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_134,negated_conjecture,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_135,negated_conjecture,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_136,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_137,negated_conjecture,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_138,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_139,negated_conjecture,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_140,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_141,negated_conjecture,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_142,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_143,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_144,negated_conjecture,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_145,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_146,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_147,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_148,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_149,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_150,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_151,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_152,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_153,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_154,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c7) = sk_c9 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_155,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_156,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_157,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_158,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_159,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c5) = sk_c11 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_160,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_161,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_162,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_163,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_164,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c7) = sk_c9 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_165,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_166,negated_conjecture,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_167,negated_conjecture,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_168,negated_conjecture,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_169,negated_conjecture,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_170,negated_conjecture,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_171,negated_conjecture,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_172,negated_conjecture,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_173,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_174,negated_conjecture,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c3,sk_c12) = sk_c10 ) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_175,negated_conjecture,
( ( multiply(sk_c3,sk_c12) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_176,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( inverse(X6) != sk_c10 )
| ( inverse(X5) != sk_c11 )
| ( inverse(X4) != sk_c11 )
| ( inverse(X3) != sk_c12 )
| ( inverse(X2) != sk_c12 )
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(X6,sk_c12) != sk_c10 )
| ( multiply(X5,sk_c11) != sk_c10 )
| ( multiply(X4,sk_c11) != sk_c10 )
| ( multiply(X3,sk_c12) != sk_c11 )
| ( multiply(X2,sk_c12) != sk_c11 )
| ( multiply(inverse(X1),sk_c11) != sk_c12 )
| ( multiply(X1,inverse(X1)) != sk_c12 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_725,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_176]) ).
tcf(c_726,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,sk_c12) != sk_c11 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_176]) ).
tcf(c_727,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c12) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_176]) ).
tcf(c_728,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c11) != sk_c12 )
| ( multiply(X1,inverse(X1)) != sk_c12 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_176]) ).
tcf(c_729,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_176]) ).
tcf(c_730,definition,
iPr_def_14 = multiply(sk_c8,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_731,definition,
iPr_def_15 = multiply(sk_c3,sk_c12),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_732,definition,
iPr_def_16 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_733,definition,
iPr_def_17 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_734,definition,
iPr_def_18 = multiply(sk_c9,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_735,definition,
iPr_def_19 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_736,definition,
iPr_def_20 = multiply(sk_c6,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_737,definition,
iPr_def_21 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_738,definition,
iPr_def_22 = multiply(sk_c5,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_739,definition,
iPr_def_23 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_740,definition,
iPr_def_24 = multiply(sk_c4,sk_c12),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_741,definition,
iPr_def_25 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_742,definition,
iPr_def_26 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_743,definition,
iPr_def_27 = multiply(sk_c2,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_744,definition,
iPr_def_28 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_745,definition,
iPr_def_29 = multiply(sk_c1,sk_c12),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_746,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_729]) ).
tcf(c_747,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c11) != sk_c12 )
| ( multiply(X1,inverse(X1)) != sk_c12 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(demodulation,[status(thm)],[c_728]) ).
tcf(c_749,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c12) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_727]) ).
tcf(c_750,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,sk_c12) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_726]) ).
tcf(c_752,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_725]) ).
tcf(c_753,negated_conjecture,
( ( iPr_def_15 = sk_c10 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_175,c_731,c_730]) ).
tcf(c_754,negated_conjecture,
( ( iPr_def_16 = sk_c9 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_174,c_732]) ).
tcf(c_755,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_173,c_733]) ).
tcf(c_756,negated_conjecture,
( ( iPr_def_18 = sk_c12 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_172,c_734]) ).
tcf(c_757,negated_conjecture,
( ( iPr_def_19 = sk_c9 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_171,c_735]) ).
tcf(c_758,negated_conjecture,
( ( iPr_def_20 = sk_c12 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_170,c_736]) ).
tcf(c_759,negated_conjecture,
( ( iPr_def_21 = sk_c11 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_169,c_737]) ).
tcf(c_760,negated_conjecture,
( ( iPr_def_22 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_168,c_738]) ).
tcf(c_761,negated_conjecture,
( ( iPr_def_23 = sk_c12 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_167,c_739]) ).
tcf(c_762,negated_conjecture,
( ( iPr_def_24 = sk_c11 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_166,c_740]) ).
tcf(c_763,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_165,c_741]) ).
tcf(c_764,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_765,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_766,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_18 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_767,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_161]) ).
tcf(c_768,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_20 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_160]) ).
tcf(c_769,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_21 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_159]) ).
tcf(c_770,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_158]) ).
tcf(c_771,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_23 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_157]) ).
tcf(c_772,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_24 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_156]) ).
tcf(c_773,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_155,c_742]) ).
tcf(c_774,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_154]) ).
tcf(c_775,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_153]) ).
tcf(c_776,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_18 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_152]) ).
tcf(c_777,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_151]) ).
tcf(c_778,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_20 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_150]) ).
tcf(c_779,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_21 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_149]) ).
tcf(c_780,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_148]) ).
tcf(c_781,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_23 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_147]) ).
tcf(c_782,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_24 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_146]) ).
tcf(c_783,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_145,c_743]) ).
tcf(c_784,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_785,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_786,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_18 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_787,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_141]) ).
tcf(c_788,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_20 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_140]) ).
tcf(c_789,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_21 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_790,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_138]) ).
tcf(c_791,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_23 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_137]) ).
tcf(c_792,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_24 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_136]) ).
tcf(c_793,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_135,c_744]) ).
tcf(c_794,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_795,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_796,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_18 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_797,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_131]) ).
tcf(c_798,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_20 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_799,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_21 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_800,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_801,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_23 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_127]) ).
tcf(c_802,negated_conjecture,
( ( iPr_def_28 = sk_c12 )
| ( iPr_def_24 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_126]) ).
tcf(c_803,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_125,c_745]) ).
tcf(c_804,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_124]) ).
tcf(c_805,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_806,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_18 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_807,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_808,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_20 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_809,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_21 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_810,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_811,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_23 = sk_c12 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_812,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_24 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_813,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_819,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_813]) ).
tcf(c_1172,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_753,c_755]) ).
tcf(c_1184,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_754,c_757]) ).
tcf(c_1196,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_757,c_730]) ).
tcf(c_1197,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_754,c_730]) ).
tcf(c_1202,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_755,c_732]) ).
tcf(c_1203,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_753,c_732]) ).
tcf(c_1215,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_760,c_759]) ).
tcf(c_1216,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_760,c_758]) ).
tcf(c_1217,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_760,c_756]) ).
tcf(c_1231,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_760,c_761]) ).
tcf(c_1240,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_760,c_762]) ).
tcf(c_1250,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_763,c_732]) ).
tcf(c_1251,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_763,c_755]) ).
tcf(c_1262,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_764,c_730]) ).
tcf(c_1263,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_764,c_757]) ).
tcf(c_1275,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_765,c_763]) ).
tcf(c_1276,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_765,c_732]) ).
tcf(c_1292,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_766,c_762]) ).
tcf(c_1293,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_766,c_761]) ).
tcf(c_1294,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_766,c_760]) ).
tcf(c_1295,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_766,c_759]) ).
tcf(c_1296,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_766,c_758]) ).
tcf(c_1297,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_766,c_756]) ).
tcf(c_1321,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_767,c_764]) ).
tcf(c_1322,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_767,c_730]) ).
tcf(c_1328,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_767,c_734]) ).
tcf(c_1329,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_764,c_734]) ).
tcf(c_1330,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_757,c_734]) ).
tcf(c_1331,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_754,c_734]) ).
tcf(c_1340,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_767,c_736]) ).
tcf(c_1341,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_764,c_736]) ).
tcf(c_1342,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_757,c_736]) ).
tcf(c_1343,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_754,c_736]) ).
tcf(c_1352,plain,
multiply(iPr_def_23,sk_c4) = identity,
inference(superposition,[status(thm)],[c_739,c_114]) ).
tcf(c_1353,plain,
multiply(iPr_def_21,sk_c5) = identity,
inference(superposition,[status(thm)],[c_737,c_114]) ).
tcf(c_1354,plain,
multiply(iPr_def_19,sk_c6) = identity,
inference(superposition,[status(thm)],[c_735,c_114]) ).
tcf(c_1355,plain,
multiply(iPr_def_17,sk_c8) = identity,
inference(superposition,[status(thm)],[c_733,c_114]) ).
tcf(c_1356,plain,
multiply(iPr_def_16,sk_c7) = identity,
inference(superposition,[status(thm)],[c_732,c_114]) ).
tcf(c_1357,plain,
multiply(iPr_def_28,sk_c1) = identity,
inference(superposition,[status(thm)],[c_744,c_114]) ).
tcf(c_1358,plain,
multiply(iPr_def_26,sk_c2) = identity,
inference(superposition,[status(thm)],[c_742,c_114]) ).
tcf(c_1359,plain,
multiply(iPr_def_25,sk_c3) = identity,
inference(superposition,[status(thm)],[c_741,c_114]) ).
tcf(c_1370,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_768,c_762]) ).
tcf(c_1371,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_768,c_761]) ).
tcf(c_1372,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_768,c_760]) ).
tcf(c_1373,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_768,c_759]) ).
tcf(c_1374,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_768,c_758]) ).
tcf(c_1400,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_769,c_762]) ).
tcf(c_1402,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_769,c_760]) ).
tcf(c_1403,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_769,c_759]) ).
tcf(c_1424,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_770,c_762]) ).
tcf(c_1425,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_770,c_761]) ).
tcf(c_1426,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_770,c_760]) ).
tcf(c_1427,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_770,c_759]) ).
tcf(c_1428,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_770,c_758]) ).
tcf(c_1429,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_770,c_756]) ).
tcf(c_1458,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_771,c_762]) ).
tcf(c_1459,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_771,c_761]) ).
tcf(c_1460,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_771,c_760]) ).
tcf(c_1482,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_772,c_762]) ).
tcf(c_1484,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_772,c_760]) ).
tcf(c_1500,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_773,c_732]) ).
tcf(c_1510,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_774,c_736]) ).
tcf(c_1511,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_774,c_734]) ).
tcf(c_1513,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_774,c_730]) ).
tcf(c_1528,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_775,c_773]) ).
tcf(c_1530,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_775,c_732]) ).
tcf(c_1540,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_776,c_743]) ).
tcf(c_1541,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_776,c_738]) ).
tcf(c_1542,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_776,c_734]) ).
tcf(c_1556,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_777,c_774]) ).
tcf(c_1557,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_777,c_736]) ).
tcf(c_1558,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_777,c_734]) ).
tcf(c_1560,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_777,c_730]) ).
tcf(c_1570,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c11 )
| ( sk_c11 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_1572,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_813]) ).
tcf(c_1575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_1581,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_778,c_743]) ).
tcf(c_1582,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_778,c_738]) ).
tcf(c_1583,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_778,c_734]) ).
tcf(c_1594,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_779,c_743]) ).
tcf(c_1595,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_779,c_738]) ).
tcf(c_1596,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_779,c_734]) ).
tcf(c_1604,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = inverse(X0) )
| ( sk_c11 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_1610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1575]) ).
tcf(c_1627,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_780,c_772]) ).
tcf(c_1628,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_780,c_771]) ).
tcf(c_1629,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_780,c_770]) ).
tcf(c_1630,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_780,c_769]) ).
tcf(c_1631,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_780,c_768]) ).
tcf(c_1632,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_780,c_766]) ).
tcf(c_1633,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_780,c_762]) ).
tcf(c_1634,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_780,c_761]) ).
tcf(c_1635,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_780,c_759]) ).
tcf(c_1636,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_780,c_758]) ).
tcf(c_1637,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_780,c_756]) ).
tcf(c_1688,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_21 )
| ( iPr_def_21 != inverse(sk_c5) )
| ( inverse(X0) != inverse(sk_c5) ) ),
inference(instantiation,[status(thm)],[c_1610]) ).
tcf(c_1703,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_781,c_743]) ).
tcf(c_1704,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_781,c_738]) ).
tcf(c_1705,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_781,c_734]) ).
tcf(c_1716,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_782,c_743]) ).
tcf(c_1717,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_782,c_738]) ).
tcf(c_1718,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_782,c_734]) ).
tcf(c_1732,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_783,c_775]) ).
tcf(c_1733,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_783,c_765]) ).
tcf(c_1734,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_783,c_732]) ).
tcf(c_1735,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_783,c_755]) ).
tcf(c_1760,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_784,c_777]) ).
tcf(c_1761,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_784,c_736]) ).
tcf(c_1762,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_784,c_734]) ).
tcf(c_1763,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_784,c_767]) ).
tcf(c_1764,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_784,c_730]) ).
tcf(c_1765,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_784,c_757]) ).
tcf(c_1794,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_785,c_783]) ).
tcf(c_1797,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_785,c_732]) ).
tcf(c_1820,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_780]) ).
tcf(c_1821,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_772]) ).
tcf(c_1822,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_771]) ).
tcf(c_1823,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_770]) ).
tcf(c_1824,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_769]) ).
tcf(c_1825,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_768]) ).
tcf(c_1826,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_766]) ).
tcf(c_1827,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_762]) ).
tcf(c_1828,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_761]) ).
tcf(c_1829,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_760]) ).
tcf(c_1830,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_759]) ).
tcf(c_1831,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_758]) ).
tcf(c_1832,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_786,c_756]) ).
tcf(c_1877,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c11 )
| ( sk_c11 != iPr_def_21 )
| ( inverse(X0) != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1570]) ).
tcf(c_1893,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_787,c_784]) ).
tcf(c_1895,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_787,c_736]) ).
tcf(c_1896,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_787,c_734]) ).
tcf(c_1898,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_787,c_730]) ).
tcf(c_1930,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_780]) ).
tcf(c_1931,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_772]) ).
tcf(c_1932,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_771]) ).
tcf(c_1933,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_770]) ).
tcf(c_1934,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_769]) ).
tcf(c_1935,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_768]) ).
tcf(c_1937,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_762]) ).
tcf(c_1938,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_761]) ).
tcf(c_1939,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_760]) ).
tcf(c_1940,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_759]) ).
tcf(c_1941,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_758]) ).
tcf(c_2007,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_789,c_780]) ).
tcf(c_2008,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_789,c_772]) ).
tcf(c_2010,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_789,c_770]) ).
tcf(c_2011,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_789,c_769]) ).
tcf(c_2014,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_789,c_762]) ).
tcf(c_2016,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_789,c_760]) ).
tcf(c_2017,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_789,c_759]) ).
tcf(c_2069,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_790,c_780]) ).
tcf(c_2072,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_790,c_770]) ).
tcf(c_2076,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_790,c_762]) ).
tcf(c_2077,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_790,c_761]) ).
tcf(c_2078,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_790,c_760]) ).
tcf(c_2079,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_790,c_759]) ).
tcf(c_2080,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_790,c_758]) ).
tcf(c_2081,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_790,c_756]) ).
tcf(c_2122,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_791,c_780]) ).
tcf(c_2123,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_791,c_772]) ).
tcf(c_2124,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_791,c_771]) ).
tcf(c_2129,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_791,c_762]) ).
tcf(c_2130,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_791,c_761]) ).
tcf(c_2131,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_791,c_760]) ).
tcf(c_2177,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_792,c_780]) ).
tcf(c_2178,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_792,c_772]) ).
tcf(c_2184,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_792,c_762]) ).
tcf(c_2186,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_792,c_760]) ).
tcf(c_2218,plain,
( ( sk_c12 = iPr_def_28 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_793,c_732]) ).
tcf(c_2222,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_793,c_1356]) ).
tcf(c_2223,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_785,c_1356]) ).
tcf(c_2224,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_783,c_1356]) ).
tcf(c_2225,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_775,c_1356]) ).
tcf(c_2226,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_773,c_1356]) ).
tcf(c_2227,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_765,c_1356]) ).
tcf(c_2228,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_763,c_1356]) ).
tcf(c_2229,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_755,c_1356]) ).
tcf(c_2230,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_753,c_1356]) ).
tcf(c_2275,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_794,c_736]) ).
tcf(c_2276,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_794,c_734]) ).
tcf(c_2278,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_794,c_730]) ).
tcf(c_2295,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_795,c_1356]) ).
tcf(c_2296,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_795,c_793]) ).
tcf(c_2300,plain,
( ( sk_c12 = iPr_def_28 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_795,c_732]) ).
tcf(c_2317,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_796,c_745]) ).
tcf(c_2318,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_796,c_740]) ).
tcf(c_2319,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_796,c_731]) ).
tcf(c_2335,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_797,c_794]) ).
tcf(c_2338,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_797,c_736]) ).
tcf(c_2339,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_797,c_734]) ).
tcf(c_2341,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_797,c_730]) ).
tcf(c_2356,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_23 )
| ( iPr_def_23 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_2361,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_798,c_745]) ).
tcf(c_2362,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_798,c_740]) ).
tcf(c_2363,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_798,c_731]) ).
tcf(c_2374,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_2384,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_799,c_782]) ).
tcf(c_2385,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_799,c_781]) ).
tcf(c_2386,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_799,c_779]) ).
tcf(c_2387,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_799,c_778]) ).
tcf(c_2388,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_776]) ).
tcf(c_2389,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_799,c_743]) ).
tcf(c_2390,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_799,c_738]) ).
tcf(c_2391,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c9,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_734]) ).
tcf(c_2417,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_26 )
| ( iPr_def_26 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_2444,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_792]) ).
tcf(c_2445,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_800,c_791]) ).
tcf(c_2446,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_790]) ).
tcf(c_2447,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_789]) ).
tcf(c_2448,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_800,c_788]) ).
tcf(c_2449,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_800,c_786]) ).
tcf(c_2450,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_772]) ).
tcf(c_2451,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_800,c_771]) ).
tcf(c_2452,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_770]) ).
tcf(c_2453,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_769]) ).
tcf(c_2454,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_800,c_768]) ).
tcf(c_2455,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_800,c_766]) ).
tcf(c_2456,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_762]) ).
tcf(c_2457,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_800,c_761]) ).
tcf(c_2458,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_759]) ).
tcf(c_2459,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_800,c_758]) ).
tcf(c_2460,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_800,c_756]) ).
tcf(c_2536,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_801,c_745]) ).
tcf(c_2537,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_801,c_740]) ).
tcf(c_2538,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_801,c_731]) ).
tcf(c_2564,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_802,c_799]) ).
tcf(c_2565,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_802,c_782]) ).
tcf(c_2566,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_802,c_781]) ).
tcf(c_2567,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_802,c_779]) ).
tcf(c_2568,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_802,c_778]) ).
tcf(c_2569,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_776]) ).
tcf(c_2570,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_802,c_743]) ).
tcf(c_2571,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_802,c_738]) ).
tcf(c_2572,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c9,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_734]) ).
tcf(c_2614,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_803,c_795]) ).
tcf(c_2615,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_803,c_1356]) ).
tcf(c_2617,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_803,c_775]) ).
tcf(c_2619,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_803,c_732]) ).
tcf(c_2636,plain,
( ( inverse(sk_c5) = iPr_def_21 )
| ( iPr_def_21 != inverse(sk_c5) )
| ( inverse(sk_c5) != inverse(sk_c5) ) ),
inference(instantiation,[status(thm)],[c_1688]) ).
tcf(c_2637,plain,
inverse(sk_c5) = inverse(sk_c5),
inference(instantiation,[status(thm)],[c_1572]) ).
tcf(c_2649,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_804,c_797]) ).
tcf(c_2651,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_804,c_777]) ).
tcf(c_2652,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_804,c_736]) ).
tcf(c_2653,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_804,c_734]) ).
tcf(c_2655,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_804,c_730]) ).
tcf(c_2688,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_805,c_803]) ).
tcf(c_2689,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_805,c_1356]) ).
tcf(c_2694,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_805,c_732]) ).
tcf(c_2713,plain,
( ( iPr_def_24 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_802]) ).
tcf(c_2714,plain,
( ( iPr_def_21 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_799]) ).
tcf(c_2715,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_782]) ).
tcf(c_2716,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_781]) ).
tcf(c_2717,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_779]) ).
tcf(c_2718,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_778]) ).
tcf(c_2719,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_776]) ).
tcf(c_2720,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_806,c_743]) ).
tcf(c_2721,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_29) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_806,c_738]) ).
tcf(c_2722,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_734]) ).
tcf(c_2777,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_807,c_804]) ).
tcf(c_2781,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_807,c_736]) ).
tcf(c_2782,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,sk_c11) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_807,c_734]) ).
tcf(c_2784,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_807,c_730]) ).
tcf(c_2814,plain,
( ( iPr_def_24 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_808,c_802]) ).
tcf(c_2815,plain,
( ( iPr_def_21 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_808,c_799]) ).
tcf(c_2816,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_808,c_782]) ).
tcf(c_2817,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_808,c_781]) ).
tcf(c_2818,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_808,c_779]) ).
tcf(c_2819,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_808,c_778]) ).
tcf(c_2821,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_808,c_743]) ).
tcf(c_2822,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_29) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_808,c_738]) ).
tcf(c_2823,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_734]) ).
tcf(c_2911,plain,
( ( iPr_def_24 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_809,c_802]) ).
tcf(c_2912,plain,
( ( iPr_def_21 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_809,c_799]) ).
tcf(c_2913,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_809,c_782]) ).
tcf(c_2915,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_809,c_779]) ).
tcf(c_2918,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_809,c_743]) ).
tcf(c_2919,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_29) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_809,c_738]) ).
tcf(c_2920,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_734]) ).
tcf(c_2986,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_810,c_792]) ).
tcf(c_2987,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_810,c_791]) ).
tcf(c_2988,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_810,c_790]) ).
tcf(c_2989,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_810,c_789]) ).
tcf(c_2990,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_810,c_788]) ).
tcf(c_2991,plain,
( ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_810,c_786]) ).
tcf(c_2992,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_810,c_772]) ).
tcf(c_2993,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_810,c_771]) ).
tcf(c_2994,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_810,c_770]) ).
tcf(c_2995,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_810,c_769]) ).
tcf(c_2996,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_810,c_768]) ).
tcf(c_2997,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_810,c_766]) ).
tcf(c_2998,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_810,c_762]) ).
tcf(c_2999,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_810,c_761]) ).
tcf(c_3000,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_810,c_759]) ).
tcf(c_3001,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_810,c_758]) ).
tcf(c_3002,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_810,c_756]) ).
tcf(c_3128,plain,
( ( iPr_def_24 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_811,c_802]) ).
tcf(c_3129,plain,
( ( iPr_def_21 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_811,c_799]) ).
tcf(c_3130,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_811,c_782]) ).
tcf(c_3131,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_811,c_781]) ).
tcf(c_3135,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_811,c_743]) ).
tcf(c_3136,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_29) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_811,c_738]) ).
tcf(c_3137,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_734]) ).
tcf(c_3175,plain,
( ( iPr_def_24 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_812,c_802]) ).
tcf(c_3176,plain,
( ( iPr_def_21 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_812,c_799]) ).
tcf(c_3177,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_812,c_782]) ).
tcf(c_3182,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_812,c_743]) ).
tcf(c_3183,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_29) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_812,c_738]) ).
tcf(c_3184,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_734]) ).
tcf(c_3243,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_29 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_745,c_749]) ).
tcf(c_3244,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_740,c_749]) ).
tcf(c_3245,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c3) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_731,c_749]) ).
tcf(c_3246,plain,
( ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_113,c_749]) ).
tcf(c_3247,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(sk_c12)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_114,c_749]) ).
tcf(c_3248,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_801,c_749]) ).
tcf(c_3249,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_798,c_749]) ).
tcf(c_3250,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_796,c_749]) ).
tcf(c_3254,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3245,c_741]) ).
tcf(c_3258,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_3244,c_739]) ).
tcf(c_3262,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_3243,c_744]) ).
tcf(c_3332,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_29 )
| ( inverse(sk_c1) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_745,c_750]) ).
tcf(c_3333,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_740,c_750]) ).
tcf(c_3334,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_15 )
| ( inverse(sk_c3) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_731,c_750]) ).
tcf(c_3335,plain,
( ~ iPr_def_11
| ( sk_c12 != sk_c11 )
| ( inverse(identity) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_113,c_750]) ).
tcf(c_3336,plain,
( ~ iPr_def_11
| ( sk_c11 != identity )
| ( inverse(inverse(sk_c12)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_114,c_750]) ).
tcf(c_3337,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_801,c_750]) ).
tcf(c_3338,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_798,c_750]) ).
tcf(c_3339,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_796,c_750]) ).
tcf(c_3343,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_15 )
| ( sk_c12 != iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_3334,c_741]) ).
tcf(c_3347,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_24 )
| ( sk_c12 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_3333,c_739]) ).
tcf(c_3351,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_29 )
| ( sk_c12 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_3332,c_744]) ).
tcf(c_3387,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( sk_c11 != iPr_def_21 )
| ( inverse(sk_c5) != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1877]) ).
tcf(c_3429,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_22 )
| ( inverse(sk_c5) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_738,c_752]) ).
tcf(c_3430,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_734,c_752]) ).
tcf(c_3431,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_27 )
| ( inverse(sk_c2) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_743,c_752]) ).
tcf(c_3432,plain,
( ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_113,c_752]) ).
tcf(c_3433,plain,
( ~ iPr_def_10
| ( sk_c10 != identity )
| ( inverse(inverse(sk_c11)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_114,c_752]) ).
tcf(c_3434,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_812,c_752]) ).
tcf(c_3435,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_811,c_752]) ).
tcf(c_3436,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_809,c_752]) ).
tcf(c_3437,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_808,c_752]) ).
tcf(c_3438,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_806,c_752]) ).
tcf(c_3439,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_802,c_752]) ).
tcf(c_3440,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_799,c_752]) ).
tcf(c_3441,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_782,c_752]) ).
tcf(c_3442,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_781,c_752]) ).
tcf(c_3443,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_779,c_752]) ).
tcf(c_3444,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_778,c_752]) ).
tcf(c_3445,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_776,c_752]) ).
tcf(c_3449,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_27 )
| ( sk_c11 != iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_3431,c_742]) ).
tcf(c_3456,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_22 )
| ( sk_c11 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_3429,c_737]) ).
tcf(c_3613,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != inverse(identity) )
| ( inverse(inverse(identity)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_113,c_747]) ).
tcf(c_3614,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(X0))) != identity )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 )
| ( inverse(inverse(inverse(inverse(X0)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_114,c_747]) ).
tcf(c_3615,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c4) )
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c12 )
| ( multiply(inverse(sk_c4),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_739,c_747]) ).
tcf(c_3616,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c5) )
| ( multiply(X0,iPr_def_21) != inverse(X0) )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c12 )
| ( multiply(inverse(sk_c5),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_737,c_747]) ).
tcf(c_3617,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c6) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_735,c_747]) ).
tcf(c_3618,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c8) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c12 )
| ( multiply(inverse(sk_c8),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_733,c_747]) ).
tcf(c_3619,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c7) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c12 )
| ( multiply(inverse(sk_c7),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_732,c_747]) ).
tcf(c_3620,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c1) )
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( multiply(sk_c1,inverse(sk_c1)) != sk_c12 )
| ( multiply(inverse(sk_c1),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_744,c_747]) ).
tcf(c_3621,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c2) )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( multiply(sk_c2,inverse(sk_c2)) != sk_c12 )
| ( multiply(inverse(sk_c2),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_742,c_747]) ).
tcf(c_3622,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c3) )
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c12 )
| ( multiply(inverse(sk_c3),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_741,c_747]) ).
tcf(c_3628,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_25,sk_c11) != sk_c12 )
| ( multiply(sk_c3,iPr_def_25) != sk_c12 )
| ( inverse(inverse(X0)) != iPr_def_25 )
| ( multiply(X0,iPr_def_25) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_3622,c_741]) ).
tcf(c_3634,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_26,sk_c11) != sk_c12 )
| ( multiply(sk_c2,iPr_def_26) != sk_c12 )
| ( inverse(inverse(X0)) != iPr_def_26 )
| ( multiply(X0,iPr_def_26) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_3621,c_742]) ).
tcf(c_3640,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_28,sk_c11) != sk_c12 )
| ( multiply(sk_c1,iPr_def_28) != sk_c12 )
| ( inverse(inverse(X0)) != iPr_def_28 )
| ( multiply(X0,iPr_def_28) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_3620,c_744]) ).
tcf(c_3646,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_16,sk_c11) != sk_c12 )
| ( multiply(sk_c7,iPr_def_16) != sk_c12 )
| ( inverse(inverse(X0)) != iPr_def_16 )
| ( multiply(X0,iPr_def_16) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_3619,c_732]) ).
tcf(c_3652,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_17,sk_c11) != sk_c12 )
| ( multiply(sk_c8,iPr_def_17) != sk_c12 )
| ( inverse(inverse(X0)) != iPr_def_17 )
| ( multiply(X0,iPr_def_17) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_3618,c_733]) ).
tcf(c_3658,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_19,sk_c11) != sk_c12 )
| ( multiply(sk_c6,iPr_def_19) != sk_c12 )
| ( inverse(inverse(X0)) != iPr_def_19 )
| ( multiply(X0,iPr_def_19) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_3617,c_735]) ).
tcf(c_3664,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_21,sk_c11) != sk_c12 )
| ( multiply(sk_c5,iPr_def_21) != sk_c12 )
| ( inverse(inverse(X0)) != iPr_def_21 )
| ( multiply(X0,iPr_def_21) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_3616,c_737]) ).
tcf(c_3670,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_23,sk_c11) != sk_c12 )
| ( multiply(sk_c4,iPr_def_23) != sk_c12 )
| ( inverse(inverse(X0)) != iPr_def_23 )
| ( multiply(X0,iPr_def_23) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_3615,c_739]) ).
tcf(c_3721,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1172,c_792]) ).
tcf(c_3722,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1172,c_791]) ).
tcf(c_3723,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1172,c_790]) ).
tcf(c_3724,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1172,c_789]) ).
tcf(c_3725,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1172,c_788]) ).
tcf(c_3726,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1172,c_786]) ).
tcf(c_3728,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1172,c_772]) ).
tcf(c_3729,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1172,c_771]) ).
tcf(c_3730,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1172,c_770]) ).
tcf(c_3731,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1172,c_769]) ).
tcf(c_3732,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1172,c_768]) ).
tcf(c_3733,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1172,c_766]) ).
tcf(c_3816,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1184,c_810]) ).
tcf(c_3817,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1184,c_800]) ).
tcf(c_3820,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1184,c_790]) ).
tcf(c_3824,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1184,c_780]) ).
tcf(c_3827,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1184,c_770]) ).
tcf(c_3831,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1184,c_760]) ).
tcf(c_3878,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c12,X0)) = multiply(iPr_def_29,X0),
inference(superposition,[status(thm)],[c_745,c_115]) ).
tcf(c_3879,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c12,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_740,c_115]) ).
tcf(c_3880,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c11,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_738,c_115]) ).
tcf(c_3881,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c9,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_736,c_115]) ).
tcf(c_3882,plain,
! [X0: $i] : multiply(sk_c9,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_734,c_115]) ).
tcf(c_3883,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_730,c_115]) ).
tcf(c_3884,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_743,c_115]) ).
tcf(c_3885,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_731,c_115]) ).
tcf(c_3886,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_113,c_115]) ).
tcf(c_3887,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_114,c_115]) ).
tcf(c_3889,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1196,c_115]) ).
tcf(c_3890,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1352,c_115]) ).
tcf(c_3891,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1353,c_115]) ).
tcf(c_3892,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1354,c_115]) ).
tcf(c_3893,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1355,c_115]) ).
tcf(c_3894,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1356,c_115]) ).
tcf(c_3895,plain,
! [X0: $i] : multiply(iPr_def_28,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1357,c_115]) ).
tcf(c_3896,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1358,c_115]) ).
tcf(c_3897,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1359,c_115]) ).
tcf(c_3898,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c12 )
| ( multiply(X0,multiply(X1,sk_c12)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_115,c_750]) ).
tcf(c_3899,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( inverse(multiply(X0,X1)) != sk_c10 )
| ( multiply(X0,multiply(X1,sk_c12)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_115,c_749]) ).
tcf(c_3900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,multiply(X1,X2)),X3) = multiply(multiply(X0,X1),multiply(X2,X3)),
inference(superposition,[status(thm)],[c_115,c_115]) ).
tcf(c_3901,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( inverse(multiply(X0,X1)) != sk_c11 )
| ( multiply(X0,multiply(X1,sk_c11)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_115,c_752]) ).
tcf(c_3902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X2),sk_c11) != sk_c12 )
| ( multiply(X2,inverse(X2)) != sk_c12 )
| ( inverse(inverse(multiply(X0,X1))) != inverse(X2) )
| ( multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_115,c_747]) ).
tcf(c_3903,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3897,c_113]) ).
tcf(c_3904,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3896,c_113]) ).
tcf(c_3905,plain,
! [X0: $i] : multiply(iPr_def_28,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3895,c_113]) ).
tcf(c_3906,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3894,c_113]) ).
tcf(c_3907,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3893,c_113]) ).
tcf(c_3908,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3892,c_113]) ).
tcf(c_3909,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3891,c_113]) ).
tcf(c_3910,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3890,c_113]) ).
tcf(c_4016,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1275,c_1172]) ).
tcf(c_4019,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1275,c_792]) ).
tcf(c_4020,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1275,c_791]) ).
tcf(c_4021,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1275,c_790]) ).
tcf(c_4022,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1275,c_789]) ).
tcf(c_4023,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1275,c_788]) ).
tcf(c_4024,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1275,c_786]) ).
tcf(c_4073,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1297,c_750]) ).
tcf(c_4074,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1297,c_749]) ).
tcf(c_4078,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1297,c_745]) ).
tcf(c_4079,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1297,c_740]) ).
tcf(c_4080,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1297,c_731]) ).
tcf(c_4122,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1321,c_1184]) ).
tcf(c_4126,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1321,c_792]) ).
tcf(c_4127,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1321,c_791]) ).
tcf(c_4128,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1321,c_790]) ).
tcf(c_4129,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1321,c_789]) ).
tcf(c_4130,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1321,c_788]) ).
tcf(c_4131,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1321,c_786]) ).
tcf(c_4180,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1374,c_1297]) ).
tcf(c_4181,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1374,c_750]) ).
tcf(c_4182,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1374,c_749]) ).
tcf(c_4186,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1374,c_745]) ).
tcf(c_4187,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1374,c_740]) ).
tcf(c_4188,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1374,c_731]) ).
tcf(c_4226,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1403,c_752]) ).
tcf(c_4232,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1403,c_802]) ).
tcf(c_4238,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1403,c_743]) ).
tcf(c_4239,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1403,c_738]) ).
tcf(c_4240,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c9,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_734]) ).
tcf(c_4258,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( iPr_def_23 != sk_c12 )
| ( X0 != sk_c12 ) ),
inference(instantiation,[status(thm)],[c_2356]) ).
tcf(c_4264,plain,
! [X0: $i] :
( ( X0 = iPr_def_26 )
| ( iPr_def_26 != inverse(sk_c2) )
| ( X0 != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_2417]) ).
tcf(c_4265,plain,
( ( sk_c11 = iPr_def_26 )
| ( iPr_def_26 != inverse(sk_c2) )
| ( sk_c11 != inverse(sk_c2) ) ),
inference(instantiation,[status(thm)],[c_4264]) ).
tcf(c_4275,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1459,c_1374]) ).
tcf(c_4276,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1459,c_1297]) ).
tcf(c_4277,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1459,c_750]) ).
tcf(c_4278,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1459,c_749]) ).
tcf(c_4282,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1459,c_745]) ).
tcf(c_4283,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1459,c_740]) ).
tcf(c_4284,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1459,c_731]) ).
tcf(c_4360,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1482,c_1403]) ).
tcf(c_4361,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1482,c_752]) ).
tcf(c_4373,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1482,c_743]) ).
tcf(c_4374,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1482,c_738]) ).
tcf(c_4375,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c9,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_734]) ).
tcf(c_4411,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1528,c_752]) ).
tcf(c_4412,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1528,c_812]) ).
tcf(c_4413,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1528,c_811]) ).
tcf(c_4414,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1528,c_809]) ).
tcf(c_4415,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1528,c_808]) ).
tcf(c_4416,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1528,c_806]) ).
tcf(c_4419,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1528,c_743]) ).
tcf(c_4420,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1528,c_738]) ).
tcf(c_4421,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1528,c_734]) ).
tcf(c_4473,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1556,c_752]) ).
tcf(c_4474,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1556,c_812]) ).
tcf(c_4475,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1556,c_811]) ).
tcf(c_4476,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1556,c_809]) ).
tcf(c_4477,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1556,c_808]) ).
tcf(c_4478,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1556,c_806]) ).
tcf(c_4481,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1556,c_743]) ).
tcf(c_4482,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1556,c_738]) ).
tcf(c_4483,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1556,c_734]) ).
tcf(c_4579,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1794,c_1321]) ).
tcf(c_4580,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1794,c_1275]) ).
tcf(c_4582,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1794,c_1172]) ).
tcf(c_4616,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1826,c_750]) ).
tcf(c_4617,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1826,c_749]) ).
tcf(c_4618,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1826,c_801]) ).
tcf(c_4619,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1826,c_798]) ).
tcf(c_4620,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1826,c_796]) ).
tcf(c_4621,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1826,c_745]) ).
tcf(c_4622,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1826,c_740]) ).
tcf(c_4623,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1826,c_731]) ).
tcf(c_4707,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1832,c_1459]) ).
tcf(c_4708,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1832,c_1374]) ).
tcf(c_4709,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1832,c_750]) ).
tcf(c_4710,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1832,c_749]) ).
tcf(c_4714,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1832,c_745]) ).
tcf(c_4715,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1832,c_740]) ).
tcf(c_4716,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1832,c_731]) ).
tcf(c_4767,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1893,c_1321]) ).
tcf(c_4769,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1893,c_1184]) ).
tcf(c_4802,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1935,c_1826]) ).
tcf(c_4805,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1935,c_750]) ).
tcf(c_4806,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1935,c_749]) ).
tcf(c_4807,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1935,c_801]) ).
tcf(c_4808,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1935,c_798]) ).
tcf(c_4809,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1935,c_796]) ).
tcf(c_4810,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1935,c_745]) ).
tcf(c_4811,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1935,c_740]) ).
tcf(c_4812,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1935,c_731]) ).
tcf(c_4861,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1941,c_1832]) ).
tcf(c_4863,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1941,c_1459]) ).
tcf(c_4865,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1941,c_750]) ).
tcf(c_4866,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1941,c_749]) ).
tcf(c_4870,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1941,c_745]) ).
tcf(c_4871,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1941,c_740]) ).
tcf(c_4872,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1941,c_731]) ).
tcf(c_4936,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1197,c_115]) ).
tcf(c_4958,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2011,c_1556]) ).
tcf(c_4959,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2011,c_1528]) ).
tcf(c_4961,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2011,c_752]) ).
tcf(c_4962,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2011,c_812]) ).
tcf(c_4963,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2011,c_811]) ).
tcf(c_4964,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2011,c_809]) ).
tcf(c_4965,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2011,c_808]) ).
tcf(c_4966,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_806]) ).
tcf(c_4968,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2011,c_782]) ).
tcf(c_4969,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2011,c_781]) ).
tcf(c_4970,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2011,c_779]) ).
tcf(c_4971,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2011,c_778]) ).
tcf(c_4972,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_776]) ).
tcf(c_4973,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2011,c_743]) ).
tcf(c_4974,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2011,c_738]) ).
tcf(c_4975,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c9,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_734]) ).
tcf(c_5111,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2017,c_1482]) ).
tcf(c_5112,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2017,c_752]) ).
tcf(c_5118,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2017,c_802]) ).
tcf(c_5124,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2017,c_743]) ).
tcf(c_5125,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2017,c_738]) ).
tcf(c_5126,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c9,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_734]) ).
tcf(c_5197,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2072,c_1893]) ).
tcf(c_5198,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2072,c_1794]) ).
tcf(c_5199,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2072,c_1321]) ).
tcf(c_5200,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2072,c_1275]) ).
tcf(c_5202,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2072,c_1172]) ).
tcf(c_5203,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2072,c_792]) ).
tcf(c_5204,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2072,c_791]) ).
tcf(c_5205,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2072,c_790]) ).
tcf(c_5206,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2072,c_789]) ).
tcf(c_5207,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_788]) ).
tcf(c_5208,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2072,c_786]) ).
tcf(c_5209,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2072,c_772]) ).
tcf(c_5210,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2072,c_771]) ).
tcf(c_5211,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2072,c_770]) ).
tcf(c_5212,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2072,c_769]) ).
tcf(c_5213,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_768]) ).
tcf(c_5214,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2072,c_766]) ).
tcf(c_5215,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2072,c_762]) ).
tcf(c_5216,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2072,c_761]) ).
tcf(c_5217,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2072,c_759]) ).
tcf(c_5218,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2072,c_758]) ).
tcf(c_5219,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2072,c_756]) ).
tcf(c_5509,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2124,c_1935]) ).
tcf(c_5511,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2124,c_1826]) ).
tcf(c_5514,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2124,c_750]) ).
tcf(c_5515,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2124,c_749]) ).
tcf(c_5516,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2124,c_801]) ).
tcf(c_5517,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2124,c_798]) ).
tcf(c_5518,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2124,c_796]) ).
tcf(c_5519,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2124,c_745]) ).
tcf(c_5520,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2124,c_740]) ).
tcf(c_5521,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2124,c_731]) ).
tcf(c_5553,plain,
! [X0: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_2374]) ).
tcf(c_5602,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2130,c_1941]) ).
tcf(c_5604,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2130,c_1832]) ).
tcf(c_5608,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2130,c_750]) ).
tcf(c_5609,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2130,c_749]) ).
tcf(c_5613,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2130,c_745]) ).
tcf(c_5614,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2130,c_740]) ).
tcf(c_5615,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2130,c_731]) ).
tcf(c_5665,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2178,c_2011]) ).
tcf(c_5666,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2178,c_1556]) ).
tcf(c_5667,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2178,c_1528]) ).
tcf(c_5669,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2178,c_752]) ).
tcf(c_5670,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2178,c_812]) ).
tcf(c_5671,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2178,c_811]) ).
tcf(c_5672,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2178,c_809]) ).
tcf(c_5673,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2178,c_808]) ).
tcf(c_5674,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_806]) ).
tcf(c_5676,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2178,c_782]) ).
tcf(c_5677,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2178,c_781]) ).
tcf(c_5678,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2178,c_779]) ).
tcf(c_5679,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2178,c_778]) ).
tcf(c_5680,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_776]) ).
tcf(c_5681,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2178,c_743]) ).
tcf(c_5682,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2178,c_738]) ).
tcf(c_5683,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c9,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_734]) ).
tcf(c_5737,plain,
( ( sk_c12 = iPr_def_23 )
| ( iPr_def_23 != sk_c12 )
| ( sk_c12 != sk_c12 ) ),
inference(instantiation,[status(thm)],[c_4258]) ).
tcf(c_5738,plain,
sk_c12 = sk_c12,
inference(instantiation,[status(thm)],[c_813]) ).
tcf(c_5763,plain,
( ~ iPr_def_10
| ( inverse(sk_c5) != sk_c11 )
| ( multiply(sk_c5,sk_c11) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_752]) ).
tcf(c_5784,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2184,c_2017]) ).
tcf(c_5789,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2184,c_752]) ).
tcf(c_5801,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2184,c_743]) ).
tcf(c_5802,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2184,c_738]) ).
tcf(c_5803,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c9,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_734]) ).
tcf(c_5831,plain,
( ( sk_c11 = inverse(sk_c2) )
| ( sk_c11 != sk_c11 )
| ( inverse(sk_c2) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_1604]) ).
tcf(c_5849,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2296,c_2124]) ).
tcf(c_5851,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2296,c_1935]) ).
tcf(c_5853,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2296,c_1826]) ).
tcf(c_5857,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2296,c_750]) ).
tcf(c_5858,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2296,c_749]) ).
tcf(c_5859,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2296,c_745]) ).
tcf(c_5860,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2296,c_740]) ).
tcf(c_5861,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2296,c_731]) ).
tcf(c_5916,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2335,c_2124]) ).
tcf(c_5918,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2335,c_1935]) ).
tcf(c_5920,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2335,c_1826]) ).
tcf(c_5924,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2335,c_750]) ).
tcf(c_5925,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2335,c_749]) ).
tcf(c_5926,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2335,c_745]) ).
tcf(c_5927,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2335,c_740]) ).
tcf(c_5928,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2335,c_731]) ).
tcf(c_6027,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2564,c_2124]) ).
tcf(c_6028,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2564,c_1941]) ).
tcf(c_6030,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2564,c_1832]) ).
tcf(c_6033,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2564,c_1374]) ).
tcf(c_6034,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2564,c_1297]) ).
tcf(c_6035,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2564,c_750]) ).
tcf(c_6036,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2564,c_749]) ).
tcf(c_6037,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2564,c_745]) ).
tcf(c_6038,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2564,c_740]) ).
tcf(c_6039,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2564,c_731]) ).
tcf(c_6071,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( iPr_def_21 != X0 )
| ( sk_c11 != X0 ) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_6072,plain,
( ( sk_c11 = iPr_def_21 )
| ( iPr_def_21 != sk_c11 )
| ( sk_c11 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_6071]) ).
tcf(c_6100,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2688,c_2178]) ).
tcf(c_6102,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2688,c_2011]) ).
tcf(c_6103,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2688,c_1556]) ).
tcf(c_6104,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2688,c_1528]) ).
tcf(c_6107,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2688,c_752]) ).
tcf(c_6115,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2688,c_743]) ).
tcf(c_6116,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_29) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2688,c_738]) ).
tcf(c_6117,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2688,c_734]) ).
tcf(c_6170,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2719,c_2564]) ).
tcf(c_6171,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2719,c_2335]) ).
tcf(c_6172,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2719,c_2296]) ).
tcf(c_6179,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2719,c_750]) ).
tcf(c_6180,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2719,c_749]) ).
tcf(c_6181,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2719,c_801]) ).
tcf(c_6182,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2719,c_798]) ).
tcf(c_6183,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2719,c_796]) ).
tcf(c_6184,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2719,c_745]) ).
tcf(c_6185,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2719,c_740]) ).
tcf(c_6186,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2719,c_731]) ).
tcf(c_6249,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2777,c_2178]) ).
tcf(c_6251,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2777,c_2011]) ).
tcf(c_6252,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2777,c_1556]) ).
tcf(c_6256,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2777,c_752]) ).
tcf(c_6264,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2777,c_743]) ).
tcf(c_6265,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_29) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2777,c_738]) ).
tcf(c_6266,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2777,c_734]) ).
tcf(c_6307,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2819,c_2719]) ).
tcf(c_6308,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2819,c_2564]) ).
tcf(c_6309,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2819,c_2335]) ).
tcf(c_6310,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2819,c_2296]) ).
tcf(c_6317,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_20) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2819,c_750]) ).
tcf(c_6318,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2819,c_749]) ).
tcf(c_6319,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2819,c_801]) ).
tcf(c_6320,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2819,c_798]) ).
tcf(c_6321,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2819,c_796]) ).
tcf(c_6322,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2819,c_745]) ).
tcf(c_6323,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2819,c_740]) ).
tcf(c_6324,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2819,c_731]) ).
tcf(c_6404,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2915,c_2777]) ).
tcf(c_6405,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2915,c_2688]) ).
tcf(c_6408,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2915,c_1556]) ).
tcf(c_6409,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2915,c_1528]) ).
tcf(c_6411,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2915,c_752]) ).
tcf(c_6412,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2915,c_812]) ).
tcf(c_6413,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2915,c_811]) ).
tcf(c_6414,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2915,c_809]) ).
tcf(c_6415,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2915,c_808]) ).
tcf(c_6416,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_806]) ).
tcf(c_6418,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2915,c_782]) ).
tcf(c_6419,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2915,c_781]) ).
tcf(c_6420,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2915,c_779]) ).
tcf(c_6421,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2915,c_778]) ).
tcf(c_6422,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_776]) ).
tcf(c_6423,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2915,c_743]) ).
tcf(c_6424,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2915,c_738]) ).
tcf(c_6425,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c9,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_734]) ).
tcf(c_6628,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3131,c_2819]) ).
tcf(c_6629,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3131,c_2719]) ).
tcf(c_6630,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3131,c_2564]) ).
tcf(c_6631,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3131,c_2335]) ).
tcf(c_6632,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3131,c_2296]) ).
tcf(c_6639,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c12 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3131,c_750]) ).
tcf(c_6640,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3131,c_749]) ).
tcf(c_6641,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3131,c_801]) ).
tcf(c_6642,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3131,c_798]) ).
tcf(c_6643,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3131,c_796]) ).
tcf(c_6644,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3131,c_745]) ).
tcf(c_6645,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3131,c_740]) ).
tcf(c_6646,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3131,c_731]) ).
tcf(c_6690,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c12 )
| ( multiply(inverse(iPr_def_17),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_1202,c_747]) ).
tcf(c_6721,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3177,c_2915]) ).
tcf(c_6722,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3177,c_2777]) ).
tcf(c_6723,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3177,c_2688]) ).
tcf(c_6726,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3177,c_1556]) ).
tcf(c_6727,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3177,c_1528]) ).
tcf(c_6729,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3177,c_752]) ).
tcf(c_6730,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3177,c_812]) ).
tcf(c_6731,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3177,c_811]) ).
tcf(c_6732,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3177,c_809]) ).
tcf(c_6733,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3177,c_808]) ).
tcf(c_6734,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_806]) ).
tcf(c_6736,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3177,c_782]) ).
tcf(c_6737,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3177,c_781]) ).
tcf(c_6738,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3177,c_779]) ).
tcf(c_6739,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3177,c_778]) ).
tcf(c_6740,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_776]) ).
tcf(c_6741,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3177,c_743]) ).
tcf(c_6742,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3177,c_738]) ).
tcf(c_6743,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c9,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_734]) ).
tcf(c_6799,plain,
multiply(iPr_def_25,iPr_def_15) = sk_c12,
inference(superposition,[status(thm)],[c_731,c_3903]) ).
tcf(c_6800,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(multiply(sk_c3,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3903,c_115]) ).
tcf(c_6802,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0),
inference(superposition,[status(thm)],[c_6799,c_115]) ).
tcf(c_6804,plain,
multiply(iPr_def_26,iPr_def_27) = sk_c11,
inference(superposition,[status(thm)],[c_743,c_3904]) ).
tcf(c_6805,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_26,multiply(multiply(sk_c2,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3904,c_115]) ).
tcf(c_6807,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_6804,c_115]) ).
tcf(c_6809,plain,
multiply(iPr_def_28,iPr_def_29) = sk_c12,
inference(superposition,[status(thm)],[c_745,c_3905]) ).
tcf(c_6810,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_28,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3905,c_115]) ).
tcf(c_6812,plain,
! [X0: $i] : multiply(iPr_def_28,multiply(iPr_def_29,X0)) = multiply(sk_c12,X0),
inference(superposition,[status(thm)],[c_6809,c_115]) ).
tcf(c_6814,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_805,c_3906]) ).
tcf(c_6815,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_803,c_3906]) ).
tcf(c_6816,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_795,c_3906]) ).
tcf(c_6817,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_793,c_3906]) ).
tcf(c_6818,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_785,c_3906]) ).
tcf(c_6819,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_783,c_3906]) ).
tcf(c_6820,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_775,c_3906]) ).
tcf(c_6821,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_773,c_3906]) ).
tcf(c_6822,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_765,c_3906]) ).
tcf(c_6823,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_763,c_3906]) ).
tcf(c_6824,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_755,c_3906]) ).
tcf(c_6825,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_753,c_3906]) ).
tcf(c_6826,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(multiply(sk_c7,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3906,c_115]) ).
tcf(c_6919,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c12 )
| ( multiply(inverse(iPr_def_14),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_1203,c_747]) ).
tcf(c_6932,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c12 )
| ( multiply(inverse(iPr_def_14),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_1250,c_747]) ).
tcf(c_6945,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c12 )
| ( multiply(inverse(iPr_def_17),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_1276,c_747]) ).
tcf(c_6958,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c12 )
| ( multiply(inverse(iPr_def_14),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_1500,c_747]) ).
tcf(c_6971,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c12 )
| ( multiply(inverse(iPr_def_17),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_1530,c_747]) ).
tcf(c_6984,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c12 )
| ( multiply(inverse(iPr_def_14),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_1734,c_747]) ).
tcf(c_6997,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c12 )
| ( multiply(inverse(iPr_def_17),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_1797,c_747]) ).
tcf(c_7010,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c12 )
| ( multiply(inverse(iPr_def_14),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_2218,c_747]) ).
tcf(c_7047,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1215,c_1794]) ).
tcf(c_7049,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1215,c_1275]) ).
tcf(c_7052,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1215,c_792]) ).
tcf(c_7054,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1215,c_790]) ).
tcf(c_7055,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1215,c_789]) ).
tcf(c_7059,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1215,c_772]) ).
tcf(c_7061,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1215,c_770]) ).
tcf(c_7062,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1215,c_769]) ).
tcf(c_7113,plain,
multiply(iPr_def_17,iPr_def_14) = sk_c9,
inference(superposition,[status(thm)],[c_730,c_3907]) ).
tcf(c_7114,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1196,c_3907]) ).
tcf(c_7115,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1197,c_3907]) ).
tcf(c_7116,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(sk_c8,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3907,c_115]) ).
tcf(c_7189,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_7113,c_115]) ).
tcf(c_7191,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c9,
inference(superposition,[status(thm)],[c_736,c_3908]) ).
tcf(c_7192,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(sk_c6,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3908,c_115]) ).
tcf(c_7194,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_7191,c_115]) ).
tcf(c_7196,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c11,
inference(superposition,[status(thm)],[c_738,c_3909]) ).
tcf(c_7197,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(multiply(sk_c5,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3909,c_115]) ).
tcf(c_7199,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_7196,c_115]) ).
tcf(c_7201,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c12,
inference(superposition,[status(thm)],[c_740,c_3910]) ).
tcf(c_7202,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(sk_c4,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3910,c_115]) ).
tcf(c_7204,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c12,X0),
inference(superposition,[status(thm)],[c_7201,c_115]) ).
tcf(c_7211,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c12 )
| ( multiply(inverse(iPr_def_17),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_2300,c_747]) ).
tcf(c_7224,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c12 )
| ( multiply(inverse(iPr_def_14),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_2619,c_747]) ).
tcf(c_7237,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c12 )
| ( multiply(inverse(iPr_def_17),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_2694,c_747]) ).
tcf(c_7249,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1262,c_115]) ).
tcf(c_7250,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1262,c_3907]) ).
tcf(c_7251,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_7250,c_7113]) ).
tcf(c_7261,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1322,c_115]) ).
tcf(c_7262,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1322,c_3907]) ).
tcf(c_7263,plain,
( ( sk_c9 = iPr_def_19 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_7262,c_7113]) ).
tcf(c_7273,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_1328]) ).
tcf(c_7274,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_1328]) ).
tcf(c_7277,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_1328]) ).
tcf(c_7278,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_1328]) ).
tcf(c_7279,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_1328]) ).
tcf(c_7280,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_1328]) ).
tcf(c_7283,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_1328]) ).
tcf(c_7284,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_1328]) ).
tcf(c_7285,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_1328]) ).
tcf(c_7286,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_1328]) ).
tcf(c_7287,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_1328]) ).
tcf(c_7288,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_1328]) ).
tcf(c_7289,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_1328]) ).
tcf(c_7290,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_1328]) ).
tcf(c_7291,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_1328]) ).
tcf(c_7292,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_782,c_1328]) ).
tcf(c_7293,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_781,c_1328]) ).
tcf(c_7294,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_779,c_1328]) ).
tcf(c_7295,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_778,c_1328]) ).
tcf(c_7296,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_776,c_1328]) ).
tcf(c_7297,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1328,c_115]) ).
tcf(c_7298,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1328,c_752]) ).
tcf(c_7454,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_1329]) ).
tcf(c_7455,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_1329]) ).
tcf(c_7458,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_1329]) ).
tcf(c_7459,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_1329]) ).
tcf(c_7460,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_1329]) ).
tcf(c_7461,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_1329]) ).
tcf(c_7464,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_1329]) ).
tcf(c_7465,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_1329]) ).
tcf(c_7466,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_1329]) ).
tcf(c_7467,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_1329]) ).
tcf(c_7468,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_1329]) ).
tcf(c_7469,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_1329]) ).
tcf(c_7470,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_1329]) ).
tcf(c_7471,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_1329]) ).
tcf(c_7472,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_1329]) ).
tcf(c_7473,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_782,c_1329]) ).
tcf(c_7474,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_781,c_1329]) ).
tcf(c_7475,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_779,c_1329]) ).
tcf(c_7476,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_778,c_1329]) ).
tcf(c_7477,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_776,c_1329]) ).
tcf(c_7478,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1329,c_115]) ).
tcf(c_7479,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1329,c_752]) ).
tcf(c_7607,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_1330]) ).
tcf(c_7608,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_1330]) ).
tcf(c_7611,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_1330]) ).
tcf(c_7612,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_1330]) ).
tcf(c_7613,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_1330]) ).
tcf(c_7614,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_1330]) ).
tcf(c_7617,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_1330]) ).
tcf(c_7618,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_1330]) ).
tcf(c_7619,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_1330]) ).
tcf(c_7620,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_1330]) ).
tcf(c_7621,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_1330]) ).
tcf(c_7622,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_1330]) ).
tcf(c_7623,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_1330]) ).
tcf(c_7624,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_1330]) ).
tcf(c_7625,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_1330]) ).
tcf(c_7626,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_782,c_1330]) ).
tcf(c_7627,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_781,c_1330]) ).
tcf(c_7628,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_779,c_1330]) ).
tcf(c_7629,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_778,c_1330]) ).
tcf(c_7630,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_776,c_1330]) ).
tcf(c_7631,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1330,c_115]) ).
tcf(c_7632,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1330,c_752]) ).
tcf(c_7841,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_1794]) ).
tcf(c_7843,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_1275]) ).
tcf(c_7846,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_792]) ).
tcf(c_7847,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_791]) ).
tcf(c_7848,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_790]) ).
tcf(c_7850,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_788]) ).
tcf(c_7853,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_772]) ).
tcf(c_7854,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_771]) ).
tcf(c_7855,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_770]) ).
tcf(c_7857,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_768]) ).
tcf(c_7902,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_1331]) ).
tcf(c_7903,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_1331]) ).
tcf(c_7906,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_1331]) ).
tcf(c_7907,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_1331]) ).
tcf(c_7908,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_1331]) ).
tcf(c_7909,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_1331]) ).
tcf(c_7912,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_1331]) ).
tcf(c_7913,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_1331]) ).
tcf(c_7914,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_1331]) ).
tcf(c_7915,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_1331]) ).
tcf(c_7916,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_1331]) ).
tcf(c_7917,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_1331]) ).
tcf(c_7918,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_1331]) ).
tcf(c_7919,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_1331]) ).
tcf(c_7920,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_1331]) ).
tcf(c_7921,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_782,c_1331]) ).
tcf(c_7922,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_781,c_1331]) ).
tcf(c_7923,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_779,c_1331]) ).
tcf(c_7924,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_778,c_1331]) ).
tcf(c_7925,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_776,c_1331]) ).
tcf(c_7926,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1331,c_115]) ).
tcf(c_7927,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1331,c_752]) ).
tcf(c_7999,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1340,c_115]) ).
tcf(c_8000,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1340,c_3908]) ).
tcf(c_8009,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1341,c_115]) ).
tcf(c_8010,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1341,c_3908]) ).
tcf(c_8019,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1342,c_115]) ).
tcf(c_8020,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1342,c_3908]) ).
tcf(c_8021,plain,
( ( sk_c9 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8020,c_7191]) ).
tcf(c_8031,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_4016,c_6799]) ).
tcf(c_8032,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4016,c_3903]) ).
tcf(c_8033,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_4016,c_1359]) ).
tcf(c_8045,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_4122,c_6799]) ).
tcf(c_8046,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4122,c_3903]) ).
tcf(c_8047,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_4122,c_1359]) ).
tcf(c_8059,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_4180,c_6799]) ).
tcf(c_8060,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4180,c_3903]) ).
tcf(c_8061,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_4180,c_1359]) ).
tcf(c_8073,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_4275,c_6799]) ).
tcf(c_8074,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4275,c_3903]) ).
tcf(c_8075,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_4275,c_1359]) ).
tcf(c_8136,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1343,c_115]) ).
tcf(c_8137,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1343,c_3908]) ).
tcf(c_8138,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8137,c_7191]) ).
tcf(c_8148,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1510,c_115]) ).
tcf(c_8149,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1510,c_3908]) ).
tcf(c_8150,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_8149,c_7191]) ).
tcf(c_8160,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_1511]) ).
tcf(c_8161,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_1511]) ).
tcf(c_8164,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_1511]) ).
tcf(c_8165,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_1511]) ).
tcf(c_8166,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_1511]) ).
tcf(c_8167,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_1511]) ).
tcf(c_8170,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_1511]) ).
tcf(c_8171,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_1511]) ).
tcf(c_8172,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_1511]) ).
tcf(c_8173,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_1511]) ).
tcf(c_8174,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_1511]) ).
tcf(c_8175,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_1511]) ).
tcf(c_8176,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_1511]) ).
tcf(c_8177,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_1511]) ).
tcf(c_8178,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_1511]) ).
tcf(c_8179,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_782,c_1511]) ).
tcf(c_8180,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_781,c_1511]) ).
tcf(c_8181,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_779,c_1511]) ).
tcf(c_8182,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_778,c_1511]) ).
tcf(c_8183,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_776,c_1511]) ).
tcf(c_8184,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1511,c_115]) ).
tcf(c_8185,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1511,c_752]) ).
tcf(c_8310,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1513,c_115]) ).
tcf(c_8311,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1513,c_3907]) ).
tcf(c_8320,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1540,c_115]) ).
tcf(c_8321,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1540,c_3904]) ).
tcf(c_8322,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_8321,c_6804]) ).
tcf(c_8332,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1541,c_115]) ).
tcf(c_8333,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1541,c_3909]) ).
tcf(c_8342,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_807,c_1542]) ).
tcf(c_8343,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_804,c_1542]) ).
tcf(c_8344,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_797,c_1542]) ).
tcf(c_8345,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_794,c_1542]) ).
tcf(c_8346,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_787,c_1542]) ).
tcf(c_8347,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_784,c_1542]) ).
tcf(c_8354,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1542,c_115]) ).
tcf(c_8426,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1557,c_115]) ).
tcf(c_8427,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1557,c_3908]) ).
tcf(c_8428,plain,
( ( sk_c9 = iPr_def_19 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_8427,c_7191]) ).
tcf(c_8463,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_1794]) ).
tcf(c_8465,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_1275]) ).
tcf(c_8468,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_792]) ).
tcf(c_8469,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_791]) ).
tcf(c_8470,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_790]) ).
tcf(c_8473,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_786]) ).
tcf(c_8475,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_772]) ).
tcf(c_8476,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_771]) ).
tcf(c_8477,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_770]) ).
tcf(c_8480,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1217,c_766]) ).
tcf(c_8524,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_1558]) ).
tcf(c_8525,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_1558]) ).
tcf(c_8528,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_1558]) ).
tcf(c_8529,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_1558]) ).
tcf(c_8530,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_1558]) ).
tcf(c_8531,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_1558]) ).
tcf(c_8534,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_1558]) ).
tcf(c_8535,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_1558]) ).
tcf(c_8536,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_1558]) ).
tcf(c_8537,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_1558]) ).
tcf(c_8538,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_1558]) ).
tcf(c_8539,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_1558]) ).
tcf(c_8541,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_1558]) ).
tcf(c_8542,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_1558]) ).
tcf(c_8543,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_782,c_1558]) ).
tcf(c_8544,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_781,c_1558]) ).
tcf(c_8545,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_779,c_1558]) ).
tcf(c_8546,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_778,c_1558]) ).
tcf(c_8548,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1558,c_115]) ).
tcf(c_8549,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1558,c_752]) ).
tcf(c_8697,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1560,c_115]) ).
tcf(c_8698,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1560,c_3907]) ).
tcf(c_8707,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1581,c_115]) ).
tcf(c_8708,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1581,c_3904]) ).
tcf(c_8709,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_8708,c_6804]) ).
tcf(c_8719,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1582,c_115]) ).
tcf(c_8720,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1582,c_3909]) ).
tcf(c_8729,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_4276,c_6799]) ).
tcf(c_8730,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4276,c_3903]) ).
tcf(c_8731,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_4276,c_1359]) ).
tcf(c_8743,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_4360,c_6799]) ).
tcf(c_8744,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4360,c_3903]) ).
tcf(c_8745,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_4360,c_1359]) ).
tcf(c_8793,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4580,c_6804]) ).
tcf(c_8802,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4582,c_6804]) ).
tcf(c_8809,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_807,c_1583]) ).
tcf(c_8810,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_804,c_1583]) ).
tcf(c_8811,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_797,c_1583]) ).
tcf(c_8812,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_794,c_1583]) ).
tcf(c_8813,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_787,c_1583]) ).
tcf(c_8814,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_784,c_1583]) ).
tcf(c_8821,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1583,c_115]) ).
tcf(c_8847,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1594,c_115]) ).
tcf(c_8848,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1594,c_3904]) ).
tcf(c_8849,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_8848,c_6804]) ).
tcf(c_8859,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1595,c_115]) ).
tcf(c_8860,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1595,c_3909]) ).
tcf(c_8869,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_807,c_1596]) ).
tcf(c_8870,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_804,c_1596]) ).
tcf(c_8871,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_797,c_1596]) ).
tcf(c_8872,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_794,c_1596]) ).
tcf(c_8873,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_787,c_1596]) ).
tcf(c_8874,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_784,c_1596]) ).
tcf(c_8881,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1596,c_115]) ).
tcf(c_8907,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1703,c_115]) ).
tcf(c_8908,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1703,c_3904]) ).
tcf(c_8909,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_8908,c_6804]) ).
tcf(c_8919,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1704,c_115]) ).
tcf(c_8920,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1704,c_3909]) ).
tcf(c_8929,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_807,c_1705]) ).
tcf(c_8930,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_804,c_1705]) ).
tcf(c_8931,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_797,c_1705]) ).
tcf(c_8932,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_794,c_1705]) ).
tcf(c_8933,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_787,c_1705]) ).
tcf(c_8934,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_784,c_1705]) ).
tcf(c_8941,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1705,c_115]) ).
tcf(c_8988,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1716,c_115]) ).
tcf(c_8989,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1716,c_3904]) ).
tcf(c_8990,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_8989,c_6804]) ).
tcf(c_9038,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1231,c_1794]) ).
tcf(c_9040,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1231,c_1275]) ).
tcf(c_9043,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1231,c_792]) ).
tcf(c_9044,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1231,c_791]) ).
tcf(c_9045,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1231,c_790]) ).
tcf(c_9050,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1231,c_772]) ).
tcf(c_9051,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1231,c_771]) ).
tcf(c_9052,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1231,c_770]) ).
tcf(c_9124,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1717,c_115]) ).
tcf(c_9125,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1717,c_3909]) ).
tcf(c_9134,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_807,c_1718]) ).
tcf(c_9135,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_804,c_1718]) ).
tcf(c_9136,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_797,c_1718]) ).
tcf(c_9137,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_794,c_1718]) ).
tcf(c_9138,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_787,c_1718]) ).
tcf(c_9139,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_784,c_1718]) ).
tcf(c_9146,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1718,c_115]) ).
tcf(c_9198,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1761,c_115]) ).
tcf(c_9199,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1761,c_3908]) ).
tcf(c_9200,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_9199,c_7191]) ).
tcf(c_9223,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_1762]) ).
tcf(c_9224,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_1762]) ).
tcf(c_9227,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_1762]) ).
tcf(c_9228,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_1762]) ).
tcf(c_9229,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_1762]) ).
tcf(c_9230,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_1762]) ).
tcf(c_9233,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_1762]) ).
tcf(c_9234,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_1762]) ).
tcf(c_9235,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_1762]) ).
tcf(c_9236,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_1762]) ).
tcf(c_9237,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_1762]) ).
tcf(c_9238,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_1762]) ).
tcf(c_9239,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_1762]) ).
tcf(c_9240,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_1762]) ).
tcf(c_9241,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_1762]) ).
tcf(c_9247,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1762,c_115]) ).
tcf(c_9248,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1762,c_752]) ).
tcf(c_9381,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4767,c_6804]) ).
tcf(c_9392,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4769,c_6804]) ).
tcf(c_9403,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4802,c_6804]) ).
tcf(c_9418,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4861,c_6804]) ).
tcf(c_9425,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1764,c_115]) ).
tcf(c_9426,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1764,c_3907]) ).
tcf(c_9445,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1895,c_115]) ).
tcf(c_9446,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1895,c_3908]) ).
tcf(c_9447,plain,
( ( sk_c9 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_9446,c_7191]) ).
tcf(c_9457,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_1896]) ).
tcf(c_9458,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_1896]) ).
tcf(c_9461,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_1896]) ).
tcf(c_9462,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_1896]) ).
tcf(c_9463,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_1896]) ).
tcf(c_9464,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_1896]) ).
tcf(c_9467,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_1896]) ).
tcf(c_9468,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_1896]) ).
tcf(c_9469,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_1896]) ).
tcf(c_9470,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_1896]) ).
tcf(c_9471,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_1896]) ).
tcf(c_9472,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_1896]) ).
tcf(c_9473,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_1896]) ).
tcf(c_9474,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_1896]) ).
tcf(c_9475,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_1896]) ).
tcf(c_9481,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1896,c_115]) ).
tcf(c_9482,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1896,c_752]) ).
tcf(c_9658,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1898,c_115]) ).
tcf(c_9659,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1898,c_3907]) ).
tcf(c_9668,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2222,c_115]) ).
tcf(c_9674,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2223,c_115]) ).
tcf(c_9680,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2224,c_115]) ).
tcf(c_9686,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2225,c_115]) ).
tcf(c_9717,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1240,c_1794]) ).
tcf(c_9719,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1240,c_1275]) ).
tcf(c_9722,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1240,c_792]) ).
tcf(c_9724,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1240,c_790]) ).
tcf(c_9729,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1240,c_772]) ).
tcf(c_9731,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1240,c_770]) ).
tcf(c_9762,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2226,c_115]) ).
tcf(c_9768,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2227,c_115]) ).
tcf(c_9774,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2228,c_115]) ).
tcf(c_9780,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2229,c_115]) ).
tcf(c_9792,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_5509,c_6804]) ).
tcf(c_9805,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_5511,c_6804]) ).
tcf(c_9842,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_5602,c_6804]) ).
tcf(c_9859,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_5604,c_6804]) ).
tcf(c_9866,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2230,c_115]) ).
tcf(c_9872,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2275,c_115]) ).
tcf(c_9873,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2275,c_3908]) ).
tcf(c_9874,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c12 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_9873,c_7191]) ).
tcf(c_9896,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_2276]) ).
tcf(c_9897,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_2276]) ).
tcf(c_9898,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_2276]) ).
tcf(c_9899,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_2276]) ).
tcf(c_9900,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_2276]) ).
tcf(c_9901,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_2276]) ).
tcf(c_9902,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_2276]) ).
tcf(c_9908,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2276,c_115]) ).
tcf(c_9909,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2276,c_752]) ).
tcf(c_9940,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2278,c_115]) ).
tcf(c_9941,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2278,c_3907]) ).
tcf(c_9950,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2295,c_115]) ).
tcf(c_9976,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2317,c_115]) ).
tcf(c_9977,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2317,c_3905]) ).
tcf(c_9978,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_9977,c_6809]) ).
tcf(c_9988,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2318,c_115]) ).
tcf(c_9989,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2318,c_3910]) ).
tcf(c_9998,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2319,c_115]) ).
tcf(c_9999,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2319,c_3903]) ).
tcf(c_10010,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2338,c_115]) ).
tcf(c_10011,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2338,c_3908]) ).
tcf(c_10012,plain,
( ( sk_c9 = iPr_def_19 )
| ( sk_c12 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_10011,c_7191]) ).
tcf(c_10034,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_2339]) ).
tcf(c_10035,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_2339]) ).
tcf(c_10036,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_2339]) ).
tcf(c_10037,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_2339]) ).
tcf(c_10039,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_802,c_2339]) ).
tcf(c_10040,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_799,c_2339]) ).
tcf(c_10046,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2339,c_115]) ).
tcf(c_10047,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2339,c_752]) ).
tcf(c_10075,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2341,c_115]) ).
tcf(c_10076,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2341,c_3907]) ).
tcf(c_10085,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2361,c_115]) ).
tcf(c_10086,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2361,c_3905]) ).
tcf(c_10087,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_10086,c_6809]) ).
tcf(c_10107,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_5665,c_6804]) ).
tcf(c_10126,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_5784,c_6804]) ).
tcf(c_10133,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_26) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_6104,c_6809]) ).
tcf(c_10140,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_26) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_6252,c_6809]) ).
tcf(c_10147,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2362,c_115]) ).
tcf(c_10148,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2362,c_3910]) ).
tcf(c_10157,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2363,c_115]) ).
tcf(c_10158,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2363,c_3903]) ).
tcf(c_10167,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2389,c_115]) ).
tcf(c_10168,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2389,c_3904]) ).
tcf(c_10169,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_10168,c_6804]) ).
tcf(c_10179,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2390,c_115]) ).
tcf(c_10180,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2390,c_3909]) ).
tcf(c_10201,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2391,c_115]) ).
tcf(c_10209,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2536,c_115]) ).
tcf(c_10210,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2536,c_3905]) ).
tcf(c_10211,plain,
( ( sk_c12 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_10210,c_6809]) ).
tcf(c_10221,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2537,c_115]) ).
tcf(c_10222,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2537,c_3910]) ).
tcf(c_10231,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2538,c_115]) ).
tcf(c_10232,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2538,c_3903]) ).
tcf(c_10243,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2570,c_115]) ).
tcf(c_10244,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2570,c_3904]) ).
tcf(c_10245,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_10244,c_6804]) ).
tcf(c_10255,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_24,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2571,c_115]) ).
tcf(c_10256,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2571,c_3909]) ).
tcf(c_10277,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2572,c_115]) ).
tcf(c_10285,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2615,c_115]) ).
tcf(c_10291,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_26) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_6307,c_6809]) ).
tcf(c_10298,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_26) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_6628,c_6809]) ).
tcf(c_10305,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_26) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_6629,c_6809]) ).
tcf(c_10312,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_26) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_6721,c_6809]) ).
tcf(c_10319,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2652,c_115]) ).
tcf(c_10320,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2652,c_3908]) ).
tcf(c_10321,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_10320,c_7191]) ).
tcf(c_10331,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_2653]) ).
tcf(c_10332,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_2653]) ).
tcf(c_10335,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_2653]) ).
tcf(c_10336,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_2653]) ).
tcf(c_10337,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_2653]) ).
tcf(c_10338,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_2653]) ).
tcf(c_10341,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_2653]) ).
tcf(c_10342,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_2653]) ).
tcf(c_10343,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_2653]) ).
tcf(c_10344,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_2653]) ).
tcf(c_10345,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_2653]) ).
tcf(c_10346,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_2653]) ).
tcf(c_10347,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_806,c_2653]) ).
tcf(c_10355,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2653,c_115]) ).
tcf(c_10356,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2653,c_752]) ).
tcf(c_10427,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2655,c_115]) ).
tcf(c_10428,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2655,c_3907]) ).
tcf(c_10437,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2689,c_115]) ).
tcf(c_10449,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2720,c_115]) ).
tcf(c_10450,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2720,c_3904]) ).
tcf(c_10451,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_10450,c_6804]) ).
tcf(c_10467,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_29,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2721,c_115]) ).
tcf(c_10468,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2721,c_3909]) ).
tcf(c_10495,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2722,c_115]) ).
tcf(c_10592,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2781,c_115]) ).
tcf(c_10593,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2781,c_3908]) ).
tcf(c_10594,plain,
( ( sk_c9 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_10593,c_7191]) ).
tcf(c_10606,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3177,c_2782]) ).
tcf(c_10607,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2915,c_2782]) ).
tcf(c_10610,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2184,c_2782]) ).
tcf(c_10611,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2178,c_2782]) ).
tcf(c_10612,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2017,c_2782]) ).
tcf(c_10613,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2011,c_2782]) ).
tcf(c_10616,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1482,c_2782]) ).
tcf(c_10617,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1403,c_2782]) ).
tcf(c_10618,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_812,c_2782]) ).
tcf(c_10619,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_811,c_2782]) ).
tcf(c_10620,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_809,c_2782]) ).
tcf(c_10621,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_808,c_2782]) ).
tcf(c_10630,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,multiply(sk_c11,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2782,c_115]) ).
tcf(c_10631,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(iPr_def_19) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2782,c_752]) ).
tcf(c_10745,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2784,c_115]) ).
tcf(c_10746,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2784,c_3907]) ).
tcf(c_10761,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2821,c_115]) ).
tcf(c_10762,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2821,c_3904]) ).
tcf(c_10763,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_10762,c_6804]) ).
tcf(c_10779,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_29,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2822,c_115]) ).
tcf(c_10780,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2822,c_3909]) ).
tcf(c_10927,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2823,c_115]) ).
tcf(c_10941,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2918,c_115]) ).
tcf(c_10942,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2918,c_3904]) ).
tcf(c_10943,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_10942,c_6804]) ).
tcf(c_10959,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,multiply(iPr_def_29,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2919,c_115]) ).
tcf(c_10960,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2919,c_3909]) ).
tcf(c_10991,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2920,c_115]) ).
tcf(c_11005,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_3135,c_115]) ).
tcf(c_11006,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3135,c_3904]) ).
tcf(c_11007,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_11006,c_6804]) ).
tcf(c_11023,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,multiply(iPr_def_29,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_3136,c_115]) ).
tcf(c_11024,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3136,c_3909]) ).
tcf(c_11055,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_3137,c_115]) ).
tcf(c_11069,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_3182,c_115]) ).
tcf(c_11070,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3182,c_3904]) ).
tcf(c_11071,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_11070,c_6804]) ).
tcf(c_11089,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,multiply(iPr_def_29,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_3183,c_115]) ).
tcf(c_11090,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3183,c_3909]) ).
tcf(c_11121,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_3184,c_115]) ).
tcf(c_11125,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_3131,c_3878]) ).
tcf(c_11126,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2819,c_3878]) ).
tcf(c_11127,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_18,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2719,c_3878]) ).
tcf(c_11128,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2564,c_3878]) ).
tcf(c_11129,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2335,c_3878]) ).
tcf(c_11130,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2296,c_3878]) ).
tcf(c_11131,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2130,c_3878]) ).
tcf(c_11132,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_2124,c_3878]) ).
tcf(c_11133,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_1941,c_3878]) ).
tcf(c_11134,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_1935,c_3878]) ).
tcf(c_11135,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_18,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_1832,c_3878]) ).
tcf(c_11136,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_18,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_1826,c_3878]) ).
tcf(c_11137,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_1459,c_3878]) ).
tcf(c_11138,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_1374,c_3878]) ).
tcf(c_11139,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_18,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_1297,c_3878]) ).
tcf(c_11143,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(sk_c12,X0),X1)) = multiply(multiply(iPr_def_29,X0),X1),
inference(superposition,[status(thm)],[c_3878,c_115]) ).
tcf(c_11191,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_3131,c_3879]) ).
tcf(c_11192,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2819,c_3879]) ).
tcf(c_11193,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_18,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2719,c_3879]) ).
tcf(c_11194,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2564,c_3879]) ).
tcf(c_11195,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2335,c_3879]) ).
tcf(c_11196,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2296,c_3879]) ).
tcf(c_11197,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2130,c_3879]) ).
tcf(c_11198,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2124,c_3879]) ).
tcf(c_11199,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1941,c_3879]) ).
tcf(c_11200,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1935,c_3879]) ).
tcf(c_11201,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_18,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1832,c_3879]) ).
tcf(c_11202,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_18,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1826,c_3879]) ).
tcf(c_11203,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1459,c_3879]) ).
tcf(c_11204,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1374,c_3879]) ).
tcf(c_11205,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_18,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1297,c_3879]) ).
tcf(c_11209,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(sk_c12,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1),
inference(superposition,[status(thm)],[c_3879,c_115]) ).
tcf(c_11553,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9901,c_115]) ).
tcf(c_11561,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9902,c_115]) ).
tcf(c_11569,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_10039,c_115]) ).
tcf(c_11577,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_10040,c_115]) ).
tcf(c_11608,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1294,c_2072]) ).
tcf(c_11643,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c5,multiply(iPr_def_24,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_3177,c_3880]) ).
tcf(c_11644,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2915,c_3880]) ).
tcf(c_11645,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,multiply(iPr_def_29,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2777,c_3880]) ).
tcf(c_11646,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_29,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2688,c_3880]) ).
tcf(c_11647,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_24,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2184,c_3880]) ).
tcf(c_11648,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_24,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2178,c_3880]) ).
tcf(c_11649,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2017,c_3880]) ).
tcf(c_11650,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2011,c_3880]) ).
tcf(c_11651,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1556,c_3880]) ).
tcf(c_11652,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1528,c_3880]) ).
tcf(c_11653,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c5,multiply(iPr_def_24,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1482,c_3880]) ).
tcf(c_11654,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1403,c_3880]) ).
tcf(c_11667,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_22,X0),X1),
inference(superposition,[status(thm)],[c_3880,c_115]) ).
tcf(c_11706,plain,
multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,sk_c11),
inference(superposition,[status(thm)],[c_734,c_3881]) ).
tcf(c_11707,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1718,c_3881]) ).
tcf(c_11708,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1705,c_3881]) ).
tcf(c_11709,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1596,c_3881]) ).
tcf(c_11710,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1583,c_3881]) ).
tcf(c_11711,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1542,c_3881]) ).
tcf(c_11712,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_2391,c_3881]) ).
tcf(c_11713,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_2572,c_3881]) ).
tcf(c_11714,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_3184,c_3881]) ).
tcf(c_11715,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_3137,c_3881]) ).
tcf(c_11716,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2920,c_3881]) ).
tcf(c_11717,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2823,c_3881]) ).
tcf(c_11718,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2722,c_3881]) ).
tcf(c_11737,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1),
inference(superposition,[status(thm)],[c_3881,c_115]) ).
tcf(c_11764,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(sk_c6,multiply(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_11706,c_115]) ).
tcf(c_11765,plain,
multiply(iPr_def_19,multiply(iPr_def_20,sk_c11)) = iPr_def_18,
inference(superposition,[status(thm)],[c_11706,c_3908]) ).
tcf(c_11787,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c9,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_3177,c_3882]) ).
tcf(c_11788,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c9,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2915,c_3882]) ).
tcf(c_11789,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2777,c_3882]) ).
tcf(c_11790,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2688,c_3882]) ).
tcf(c_11791,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c9,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2184,c_3882]) ).
tcf(c_11792,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c9,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2178,c_3882]) ).
tcf(c_11793,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c9,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2017,c_3882]) ).
tcf(c_11794,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c9,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2011,c_3882]) ).
tcf(c_11795,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1556,c_3882]) ).
tcf(c_11796,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1528,c_3882]) ).
tcf(c_11797,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1482,c_3882]) ).
tcf(c_11798,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1403,c_3882]) ).
tcf(c_11811,plain,
! [X0: $i,X1: $i] : multiply(sk_c9,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1),
inference(superposition,[status(thm)],[c_3882,c_115]) ).
tcf(c_11812,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_3882,c_3881]) ).
tcf(c_12140,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1372,c_2072]) ).
tcf(c_12196,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1402,c_2072]) ).
tcf(c_12297,plain,
multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,sk_c11),
inference(superposition,[status(thm)],[c_734,c_3883]) ).
tcf(c_12298,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1718,c_3883]) ).
tcf(c_12299,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1705,c_3883]) ).
tcf(c_12300,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1596,c_3883]) ).
tcf(c_12301,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1583,c_3883]) ).
tcf(c_12302,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1542,c_3883]) ).
tcf(c_12303,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_2391,c_3883]) ).
tcf(c_12304,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_2572,c_3883]) ).
tcf(c_12305,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_3184,c_3883]) ).
tcf(c_12306,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_3137,c_3883]) ).
tcf(c_12307,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2920,c_3883]) ).
tcf(c_12308,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2823,c_3883]) ).
tcf(c_12309,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_2722,c_3883]) ).
tcf(c_12310,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_14,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_3882,c_3883]) ).
tcf(c_12330,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1),
inference(superposition,[status(thm)],[c_3883,c_115]) ).
tcf(c_12358,plain,
! [X0: $i] : multiply(multiply(iPr_def_14,sk_c11),X0) = multiply(sk_c8,multiply(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_12297,c_115]) ).
tcf(c_12359,plain,
multiply(iPr_def_17,multiply(iPr_def_14,sk_c11)) = iPr_def_18,
inference(superposition,[status(thm)],[c_12297,c_3907]) ).
tcf(c_12360,plain,
! [X0: $i] : multiply(multiply(iPr_def_14,sk_c11),X0) = multiply(iPr_def_14,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_12358,c_12310]) ).
tcf(c_12366,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_3177,c_3884]) ).
tcf(c_12367,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2915,c_3884]) ).
tcf(c_12368,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2777,c_3884]) ).
tcf(c_12369,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2688,c_3884]) ).
tcf(c_12370,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2184,c_3884]) ).
tcf(c_12371,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2178,c_3884]) ).
tcf(c_12372,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2017,c_3884]) ).
tcf(c_12373,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_2011,c_3884]) ).
tcf(c_12374,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1556,c_3884]) ).
tcf(c_12375,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1528,c_3884]) ).
tcf(c_12376,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1482,c_3884]) ).
tcf(c_12377,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_1403,c_3884]) ).
tcf(c_12390,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_27,X0),X1),
inference(superposition,[status(thm)],[c_3884,c_115]) ).
tcf(c_12501,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_3131,c_3885]) ).
tcf(c_12502,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2819,c_3885]) ).
tcf(c_12503,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2719,c_3885]) ).
tcf(c_12504,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2564,c_3885]) ).
tcf(c_12505,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2335,c_3885]) ).
tcf(c_12506,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2296,c_3885]) ).
tcf(c_12507,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2130,c_3885]) ).
tcf(c_12508,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2124,c_3885]) ).
tcf(c_12509,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1941,c_3885]) ).
tcf(c_12510,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1935,c_3885]) ).
tcf(c_12511,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1832,c_3885]) ).
tcf(c_12512,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1826,c_3885]) ).
tcf(c_12513,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1459,c_3885]) ).
tcf(c_12514,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1374,c_3885]) ).
tcf(c_12515,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1297,c_3885]) ).
tcf(c_12519,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(sk_c12,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(superposition,[status(thm)],[c_3885,c_115]) ).
tcf(c_12793,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1460,c_2072]) ).
tcf(c_12847,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1484,c_2072]) ).
tcf(c_12949,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4078,c_3905]) ).
tcf(c_12956,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4079,c_3910]) ).
tcf(c_12963,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4080,c_3903]) ).
tcf(c_12970,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4186,c_3905]) ).
tcf(c_13199,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4187,c_3910]) ).
tcf(c_13206,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4188,c_3903]) ).
tcf(c_13213,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4238,c_3904]) ).
tcf(c_13220,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4239,c_3909]) ).
tcf(c_13499,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_4240,c_3883]) ).
tcf(c_13500,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_4240,c_3881]) ).
tcf(c_13501,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_13500,c_11706]) ).
tcf(c_13504,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_13499,c_12297]) ).
tcf(c_13536,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4282,c_3905]) ).
tcf(c_13543,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4283,c_3910]) ).
tcf(c_13550,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4284,c_3903]) ).
tcf(c_13800,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1829,c_2072]) ).
tcf(c_13840,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4373,c_3904]) ).
tcf(c_13847,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4374,c_3909]) ).
tcf(c_13878,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_4375,c_3883]) ).
tcf(c_13879,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_4375,c_3881]) ).
tcf(c_13880,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_13879,c_11706]) ).
tcf(c_13883,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_13878,c_12297]) ).
tcf(c_13891,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4419,c_3904]) ).
tcf(c_13898,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4420,c_3909]) ).
tcf(c_13929,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_4421,c_3883]) ).
tcf(c_13930,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_4421,c_3881]) ).
tcf(c_13931,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_13930,c_11706]) ).
tcf(c_13934,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_13929,c_12297]) ).
tcf(c_13942,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4481,c_3904]) ).
tcf(c_14018,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1939,c_2072]) ).
tcf(c_14056,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4482,c_3909]) ).
tcf(c_14087,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_4483,c_3883]) ).
tcf(c_14088,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_4483,c_3881]) ).
tcf(c_14089,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_14088,c_11706]) ).
tcf(c_14092,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_14087,c_12297]) ).
tcf(c_14100,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4621,c_3905]) ).
tcf(c_14107,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4622,c_3910]) ).
tcf(c_14114,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4623,c_3903]) ).
tcf(c_14121,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4714,c_3905]) ).
tcf(c_14128,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4715,c_3910]) ).
tcf(c_14135,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4716,c_3903]) ).
tcf(c_14168,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2016,c_2072]) ).
tcf(c_14364,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4810,c_3905]) ).
tcf(c_14371,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4811,c_3910]) ).
tcf(c_14378,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4812,c_3903]) ).
tcf(c_14385,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4870,c_3905]) ).
tcf(c_14392,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4871,c_3910]) ).
tcf(c_14399,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4872,c_3903]) ).
tcf(c_14406,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4973,c_3904]) ).
tcf(c_14413,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4974,c_3909]) ).
tcf(c_14454,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2131,c_2072]) ).
tcf(c_14514,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2186,c_2072]) ).
tcf(c_14568,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_4975,c_3883]) ).
tcf(c_14569,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_4975,c_3881]) ).
tcf(c_14570,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_14569,c_11706]) ).
tcf(c_14573,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_14568,c_12297]) ).
tcf(c_14581,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_5124,c_3904]) ).
tcf(c_14588,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_5125,c_3909]) ).
tcf(c_14619,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_5126,c_3883]) ).
tcf(c_14620,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_5126,c_3881]) ).
tcf(c_14621,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_14620,c_11706]) ).
tcf(c_14624,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_14619,c_12297]) ).
tcf(c_14632,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5519,c_3905]) ).
tcf(c_14639,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5520,c_3910]) ).
tcf(c_14646,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5521,c_3903]) ).
tcf(c_14653,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5613,c_3905]) ).
tcf(c_14742,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5614,c_3910]) ).
tcf(c_14749,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5615,c_3903]) ).
tcf(c_14756,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5681,c_3904]) ).
tcf(c_14763,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5682,c_3909]) ).
tcf(c_14794,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_5683,c_3883]) ).
tcf(c_14795,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_5683,c_3881]) ).
tcf(c_14796,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_14795,c_11706]) ).
tcf(c_14799,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_14794,c_12297]) ).
tcf(c_14807,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5801,c_3904]) ).
tcf(c_14814,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5802,c_3909]) ).
tcf(c_14845,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_5803,c_3883]) ).
tcf(c_14846,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_5803,c_3881]) ).
tcf(c_14847,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_14846,c_11706]) ).
tcf(c_14850,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_14845,c_12297]) ).
tcf(c_14987,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5859,c_3905]) ).
tcf(c_14994,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5860,c_3910]) ).
tcf(c_15001,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5861,c_3903]) ).
tcf(c_15008,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5926,c_3905]) ).
tcf(c_15015,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5927,c_3910]) ).
tcf(c_15022,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5928,c_3903]) ).
tcf(c_15029,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6037,c_3905]) ).
tcf(c_15036,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6038,c_3910]) ).
tcf(c_15051,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6039,c_3903]) ).
tcf(c_15064,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6115,c_3904]) ).
tcf(c_15077,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6116,c_3909]) ).
tcf(c_15114,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_6117,c_3883]) ).
tcf(c_15115,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_6117,c_3881]) ).
tcf(c_15116,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_15115,c_11706]) ).
tcf(c_15119,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_15114,c_12297]) ).
tcf(c_15127,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6184,c_3905]) ).
tcf(c_15134,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6185,c_3910]) ).
tcf(c_15141,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6186,c_3903]) ).
tcf(c_15154,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6264,c_3904]) ).
tcf(c_15177,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6265,c_3909]) ).
tcf(c_15214,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_6266,c_3883]) ).
tcf(c_15215,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_6266,c_3881]) ).
tcf(c_15216,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_15215,c_11706]) ).
tcf(c_15219,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_15214,c_12297]) ).
tcf(c_15227,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_6322,c_3905]) ).
tcf(c_15234,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_6323,c_3910]) ).
tcf(c_15241,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_6324,c_3903]) ).
tcf(c_15248,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6423,c_3904]) ).
tcf(c_15255,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6424,c_3909]) ).
tcf(c_15286,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_6425,c_3883]) ).
tcf(c_15287,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_6425,c_3881]) ).
tcf(c_15288,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_15287,c_11706]) ).
tcf(c_15291,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_15286,c_12297]) ).
tcf(c_15387,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6644,c_3905]) ).
tcf(c_15394,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6645,c_3910]) ).
tcf(c_15401,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6646,c_3903]) ).
tcf(c_15408,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6741,c_3904]) ).
tcf(c_15415,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6742,c_3909]) ).
tcf(c_15446,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_6743,c_3883]) ).
tcf(c_15447,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_6743,c_3881]) ).
tcf(c_15448,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_15447,c_11706]) ).
tcf(c_15451,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_15446,c_12297]) ).
tcf(c_15454,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_4360,c_6802]) ).
tcf(c_15455,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_4276,c_6802]) ).
tcf(c_15456,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_4275,c_6802]) ).
tcf(c_15457,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_4180,c_6802]) ).
tcf(c_15458,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_4122,c_6802]) ).
tcf(c_15459,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_4016,c_6802]) ).
tcf(c_15460,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(sk_c12,X0),X1),
inference(superposition,[status(thm)],[c_6802,c_115]) ).
tcf(c_15513,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_5784,c_6807]) ).
tcf(c_15514,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_5665,c_6807]) ).
tcf(c_15515,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_5604,c_6807]) ).
tcf(c_15516,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_5602,c_6807]) ).
tcf(c_15517,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_5511,c_6807]) ).
tcf(c_15518,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_5509,c_6807]) ).
tcf(c_15519,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4861,c_6807]) ).
tcf(c_15520,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4802,c_6807]) ).
tcf(c_15521,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4769,c_6807]) ).
tcf(c_15522,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4767,c_6807]) ).
tcf(c_15523,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4582,c_6807]) ).
tcf(c_15524,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4580,c_6807]) ).
tcf(c_15525,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_26,multiply(multiply(iPr_def_27,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_6807,c_115]) ).
tcf(c_15645,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_26,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_6721,c_6812]) ).
tcf(c_15646,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(iPr_def_26,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_6629,c_6812]) ).
tcf(c_15647,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(iPr_def_26,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_6628,c_6812]) ).
tcf(c_15648,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_26,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_6307,c_6812]) ).
tcf(c_15649,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_26,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_6252,c_6812]) ).
tcf(c_15650,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(iPr_def_26,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_6104,c_6812]) ).
tcf(c_15651,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_28,multiply(multiply(iPr_def_29,X0),X1)) = multiply(multiply(sk_c12,X0),X1),
inference(superposition,[status(thm)],[c_6812,c_115]) ).
tcf(c_15713,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(iPr_def_14,X0),X1)) = multiply(multiply(sk_c9,X0),X1),
inference(superposition,[status(thm)],[c_7189,c_115]) ).
tcf(c_15719,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(iPr_def_20,X0),X1)) = multiply(multiply(sk_c9,X0),X1),
inference(superposition,[status(thm)],[c_7194,c_115]) ).
tcf(c_15721,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_7199,c_115]) ).
tcf(c_15725,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(sk_c12,X0),X1),
inference(superposition,[status(thm)],[c_7204,c_115]) ).
tcf(c_15736,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c12,iPr_def_15) = multiply(iPr_def_25,sk_c12) ) ),
inference(superposition,[status(thm)],[c_8031,c_6802]) ).
tcf(c_15741,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3887,c_113]) ).
tcf(c_15762,plain,
multiply(inverse(sk_c1),iPr_def_29) = sk_c12,
inference(superposition,[status(thm)],[c_745,c_15741]) ).
tcf(c_15763,plain,
multiply(inverse(sk_c4),iPr_def_24) = sk_c12,
inference(superposition,[status(thm)],[c_740,c_15741]) ).
tcf(c_15764,plain,
multiply(inverse(sk_c5),iPr_def_22) = sk_c11,
inference(superposition,[status(thm)],[c_738,c_15741]) ).
tcf(c_15765,plain,
multiply(inverse(sk_c6),iPr_def_20) = sk_c9,
inference(superposition,[status(thm)],[c_736,c_15741]) ).
tcf(c_15766,plain,
multiply(inverse(sk_c9),iPr_def_18) = sk_c11,
inference(superposition,[status(thm)],[c_734,c_15741]) ).
tcf(c_15767,plain,
multiply(inverse(sk_c8),iPr_def_14) = sk_c9,
inference(superposition,[status(thm)],[c_730,c_15741]) ).
tcf(c_15768,plain,
multiply(inverse(sk_c2),iPr_def_27) = sk_c11,
inference(superposition,[status(thm)],[c_743,c_15741]) ).
tcf(c_15769,plain,
multiply(inverse(sk_c3),iPr_def_15) = sk_c12,
inference(superposition,[status(thm)],[c_731,c_15741]) ).
tcf(c_15770,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_113,c_15741]) ).
tcf(c_15771,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_114,c_15741]) ).
tcf(c_15772,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_115,c_15741]) ).
tcf(c_15773,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2784,c_15741]) ).
tcf(c_15774,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2341,c_15741]) ).
tcf(c_15775,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1898,c_15741]) ).
tcf(c_15776,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1560,c_15741]) ).
tcf(c_15777,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1322,c_15741]) ).
tcf(c_15778,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1196,c_15741]) ).
tcf(c_15779,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2655,c_15741]) ).
tcf(c_15780,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2278,c_15741]) ).
tcf(c_15781,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1764,c_15741]) ).
tcf(c_15782,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1513,c_15741]) ).
tcf(c_15783,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1262,c_15741]) ).
tcf(c_15784,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1197,c_15741]) ).
tcf(c_15785,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2782,c_15741]) ).
tcf(c_15786,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2339,c_15741]) ).
tcf(c_15787,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1896,c_15741]) ).
tcf(c_15788,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1558,c_15741]) ).
tcf(c_15789,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1330,c_15741]) ).
tcf(c_15790,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1328,c_15741]) ).
tcf(c_15791,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2653,c_15741]) ).
tcf(c_15792,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2276,c_15741]) ).
tcf(c_15793,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1762,c_15741]) ).
tcf(c_15794,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1511,c_15741]) ).
tcf(c_15795,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1331,c_15741]) ).
tcf(c_15796,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1329,c_15741]) ).
tcf(c_15797,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2781,c_15741]) ).
tcf(c_15798,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2338,c_15741]) ).
tcf(c_15799,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1895,c_15741]) ).
tcf(c_15800,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1557,c_15741]) ).
tcf(c_15801,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1342,c_15741]) ).
tcf(c_15802,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1340,c_15741]) ).
tcf(c_15803,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2652,c_15741]) ).
tcf(c_15804,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2275,c_15741]) ).
tcf(c_15805,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1761,c_15741]) ).
tcf(c_15806,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1510,c_15741]) ).
tcf(c_15807,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1343,c_15741]) ).
tcf(c_15808,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c6),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1341,c_15741]) ).
tcf(c_15809,plain,
multiply(inverse(iPr_def_23),identity) = sk_c4,
inference(superposition,[status(thm)],[c_1352,c_15741]) ).
tcf(c_15810,plain,
multiply(inverse(iPr_def_21),identity) = sk_c5,
inference(superposition,[status(thm)],[c_1353,c_15741]) ).
tcf(c_15811,plain,
multiply(inverse(iPr_def_19),identity) = sk_c6,
inference(superposition,[status(thm)],[c_1354,c_15741]) ).
tcf(c_15812,plain,
multiply(inverse(iPr_def_17),identity) = sk_c8,
inference(superposition,[status(thm)],[c_1355,c_15741]) ).
tcf(c_15813,plain,
multiply(inverse(iPr_def_16),identity) = sk_c7,
inference(superposition,[status(thm)],[c_1356,c_15741]) ).
tcf(c_15814,plain,
multiply(inverse(iPr_def_28),identity) = sk_c1,
inference(superposition,[status(thm)],[c_1357,c_15741]) ).
tcf(c_15815,plain,
multiply(inverse(iPr_def_26),identity) = sk_c2,
inference(superposition,[status(thm)],[c_1358,c_15741]) ).
tcf(c_15816,plain,
multiply(inverse(iPr_def_25),identity) = sk_c3,
inference(superposition,[status(thm)],[c_1359,c_15741]) ).
tcf(c_15817,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4481,c_15741]) ).
tcf(c_15818,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4419,c_15741]) ).
tcf(c_15819,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1716,c_15741]) ).
tcf(c_15820,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1703,c_15741]) ).
tcf(c_15821,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1594,c_15741]) ).
tcf(c_15822,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1581,c_15741]) ).
tcf(c_15823,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1540,c_15741]) ).
tcf(c_15824,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4482,c_15741]) ).
tcf(c_15825,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4420,c_15741]) ).
tcf(c_15826,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1717,c_15741]) ).
tcf(c_15827,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1704,c_15741]) ).
tcf(c_15828,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1595,c_15741]) ).
tcf(c_15829,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1582,c_15741]) ).
tcf(c_15830,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1541,c_15741]) ).
tcf(c_15831,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4483,c_15741]) ).
tcf(c_15832,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4421,c_15741]) ).
tcf(c_15833,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1718,c_15741]) ).
tcf(c_15834,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1705,c_15741]) ).
tcf(c_15835,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1596,c_15741]) ).
tcf(c_15836,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1583,c_15741]) ).
tcf(c_15837,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1542,c_15741]) ).
tcf(c_15838,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2615,c_15741]) ).
tcf(c_15839,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2230,c_15741]) ).
tcf(c_15840,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2228,c_15741]) ).
tcf(c_15841,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2226,c_15741]) ).
tcf(c_15842,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2224,c_15741]) ).
tcf(c_15843,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2222,c_15741]) ).
tcf(c_15844,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2689,c_15741]) ).
tcf(c_15845,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2295,c_15741]) ).
tcf(c_15846,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2229,c_15741]) ).
tcf(c_15847,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2227,c_15741]) ).
tcf(c_15848,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2225,c_15741]) ).
tcf(c_15849,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2223,c_15741]) ).
tcf(c_15850,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6037,c_15741]) ).
tcf(c_15851,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5926,c_15741]) ).
tcf(c_15852,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5859,c_15741]) ).
tcf(c_15853,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2536,c_15741]) ).
tcf(c_15854,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2361,c_15741]) ).
tcf(c_15855,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2317,c_15741]) ).
tcf(c_15856,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6038,c_15741]) ).
tcf(c_15857,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5927,c_15741]) ).
tcf(c_15858,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5860,c_15741]) ).
tcf(c_15859,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2537,c_15741]) ).
tcf(c_15860,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2362,c_15741]) ).
tcf(c_15861,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2318,c_15741]) ).
tcf(c_15862,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6039,c_15741]) ).
tcf(c_15863,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5928,c_15741]) ).
tcf(c_15864,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5861,c_15741]) ).
tcf(c_15865,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2538,c_15741]) ).
tcf(c_15866,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2363,c_15741]) ).
tcf(c_15867,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2319,c_15741]) ).
tcf(c_15868,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6423,c_15741]) ).
tcf(c_15869,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_5124,c_15741]) ).
tcf(c_15870,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4973,c_15741]) ).
tcf(c_15871,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4238,c_15741]) ).
tcf(c_15872,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2389,c_15741]) ).
tcf(c_15873,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6424,c_15741]) ).
tcf(c_15874,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_5125,c_15741]) ).
tcf(c_15875,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4974,c_15741]) ).
tcf(c_15876,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4239,c_15741]) ).
tcf(c_15877,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2390,c_15741]) ).
tcf(c_15878,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6425,c_15741]) ).
tcf(c_15879,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_5126,c_15741]) ).
tcf(c_15880,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4975,c_15741]) ).
tcf(c_15881,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4240,c_15741]) ).
tcf(c_15882,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2391,c_15741]) ).
tcf(c_15883,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6741,c_15741]) ).
tcf(c_15884,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5801,c_15741]) ).
tcf(c_15885,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5681,c_15741]) ).
tcf(c_15886,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4373,c_15741]) ).
tcf(c_15887,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2570,c_15741]) ).
tcf(c_15888,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6742,c_15741]) ).
tcf(c_15889,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5802,c_15741]) ).
tcf(c_15890,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5682,c_15741]) ).
tcf(c_15891,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4374,c_15741]) ).
tcf(c_15892,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2571,c_15741]) ).
tcf(c_15893,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6743,c_15741]) ).
tcf(c_15894,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5803,c_15741]) ).
tcf(c_15895,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5683,c_15741]) ).
tcf(c_15896,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4375,c_15741]) ).
tcf(c_15897,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2572,c_15741]) ).
tcf(c_15898,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6264,c_15741]) ).
tcf(c_15899,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6115,c_15741]) ).
tcf(c_15900,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3182,c_15741]) ).
tcf(c_15901,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3135,c_15741]) ).
tcf(c_15902,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2918,c_15741]) ).
tcf(c_15903,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2821,c_15741]) ).
tcf(c_15904,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2720,c_15741]) ).
tcf(c_15905,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6265,c_15741]) ).
tcf(c_15906,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6116,c_15741]) ).
tcf(c_15907,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3183,c_15741]) ).
tcf(c_15908,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3136,c_15741]) ).
tcf(c_15909,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2919,c_15741]) ).
tcf(c_15910,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2822,c_15741]) ).
tcf(c_15911,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2721,c_15741]) ).
tcf(c_15912,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6266,c_15741]) ).
tcf(c_15913,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6117,c_15741]) ).
tcf(c_15914,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3184,c_15741]) ).
tcf(c_15915,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3137,c_15741]) ).
tcf(c_15916,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2920,c_15741]) ).
tcf(c_15917,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2823,c_15741]) ).
tcf(c_15918,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2722,c_15741]) ).
tcf(c_15919,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6645,c_15741]) ).
tcf(c_15920,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5614,c_15741]) ).
tcf(c_15921,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5520,c_15741]) ).
tcf(c_15922,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4283,c_15741]) ).
tcf(c_15923,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_29,X0)) = multiply(sk_c12,X0),
inference(superposition,[status(thm)],[c_3878,c_15741]) ).
tcf(c_15924,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(iPr_def_24,X0)) = multiply(sk_c12,X0),
inference(superposition,[status(thm)],[c_3879,c_15741]) ).
tcf(c_15925,plain,
! [X0: $i] : multiply(inverse(sk_c5),multiply(iPr_def_22,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_3880,c_15741]) ).
tcf(c_15926,plain,
! [X0: $i] : multiply(inverse(sk_c6),multiply(iPr_def_20,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_3881,c_15741]) ).
tcf(c_15927,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(iPr_def_18,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_3882,c_15741]) ).
tcf(c_15928,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_14,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_3883,c_15741]) ).
tcf(c_15929,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_27,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_3884,c_15741]) ).
tcf(c_15930,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(iPr_def_15,X0)) = multiply(sk_c12,X0),
inference(superposition,[status(thm)],[c_3885,c_15741]) ).
tcf(c_15932,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3910,c_15741]) ).
tcf(c_15933,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_3909,c_15741]) ).
tcf(c_15934,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3908,c_15741]) ).
tcf(c_15935,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3907,c_15741]) ).
tcf(c_15936,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3906,c_15741]) ).
tcf(c_15937,plain,
! [X0: $i] : multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3905,c_15741]) ).
tcf(c_15938,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3904,c_15741]) ).
tcf(c_15939,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3903,c_15741]) ).
tcf(c_15940,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6184,c_15741]) ).
tcf(c_15941,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4714,c_15741]) ).
tcf(c_15942,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4621,c_15741]) ).
tcf(c_15943,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4078,c_15741]) ).
tcf(c_15944,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6185,c_15741]) ).
tcf(c_15945,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4715,c_15741]) ).
tcf(c_15946,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4622,c_15741]) ).
tcf(c_15947,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4079,c_15741]) ).
tcf(c_15948,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6186,c_15741]) ).
tcf(c_15949,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4716,c_15741]) ).
tcf(c_15950,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4623,c_15741]) ).
tcf(c_15951,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4080,c_15741]) ).
tcf(c_15952,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_6322,c_15741]) ).
tcf(c_15953,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4870,c_15741]) ).
tcf(c_15954,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4810,c_15741]) ).
tcf(c_15955,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4186,c_15741]) ).
tcf(c_15956,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_6323,c_15741]) ).
tcf(c_15957,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4871,c_15741]) ).
tcf(c_15958,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4811,c_15741]) ).
tcf(c_15959,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4187,c_15741]) ).
tcf(c_15960,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_6324,c_15741]) ).
tcf(c_15961,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4872,c_15741]) ).
tcf(c_15962,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4812,c_15741]) ).
tcf(c_15963,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4188,c_15741]) ).
tcf(c_15964,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6644,c_15741]) ).
tcf(c_15965,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5613,c_15741]) ).
tcf(c_15966,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5519,c_15741]) ).
tcf(c_15967,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4282,c_15741]) ).
tcf(c_15968,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6646,c_15741]) ).
tcf(c_15969,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5615,c_15741]) ).
tcf(c_15970,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5521,c_15741]) ).
tcf(c_15971,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4284,c_15741]) ).
tcf(c_15972,plain,
multiply(inverse(iPr_def_25),sk_c12) = iPr_def_15,
inference(superposition,[status(thm)],[c_6799,c_15741]) ).
tcf(c_15973,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),multiply(sk_c12,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_6802,c_15741]) ).
tcf(c_15974,plain,
multiply(inverse(iPr_def_26),sk_c11) = iPr_def_27,
inference(superposition,[status(thm)],[c_6804,c_15741]) ).
tcf(c_15975,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c11,X0)) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_6807,c_15741]) ).
tcf(c_15976,plain,
multiply(inverse(iPr_def_28),sk_c12) = iPr_def_29,
inference(superposition,[status(thm)],[c_6809,c_15741]) ).
tcf(c_15977,plain,
! [X0: $i] : multiply(inverse(iPr_def_28),multiply(sk_c12,X0)) = multiply(iPr_def_29,X0),
inference(superposition,[status(thm)],[c_6812,c_15741]) ).
tcf(c_15978,plain,
multiply(inverse(iPr_def_17),sk_c9) = iPr_def_14,
inference(superposition,[status(thm)],[c_7113,c_15741]) ).
tcf(c_15979,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(sk_c9,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_7189,c_15741]) ).
tcf(c_15980,plain,
multiply(inverse(iPr_def_19),sk_c9) = iPr_def_20,
inference(superposition,[status(thm)],[c_7191,c_15741]) ).
tcf(c_15981,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),multiply(sk_c9,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_7194,c_15741]) ).
tcf(c_15982,plain,
multiply(inverse(iPr_def_21),sk_c11) = iPr_def_22,
inference(superposition,[status(thm)],[c_7196,c_15741]) ).
tcf(c_15983,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(sk_c11,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_7199,c_15741]) ).
tcf(c_15984,plain,
multiply(inverse(iPr_def_23),sk_c12) = iPr_def_24,
inference(superposition,[status(thm)],[c_7201,c_15741]) ).
tcf(c_15985,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(sk_c12,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_7204,c_15741]) ).
tcf(c_15986,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10039,c_15741]) ).
tcf(c_15987,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_10040,c_15741]) ).
tcf(c_15988,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9901,c_15741]) ).
tcf(c_15989,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_9902,c_15741]) ).
tcf(c_15990,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8031,c_15741]) ).
tcf(c_15991,plain,
multiply(inverse(sk_c6),multiply(iPr_def_20,sk_c11)) = iPr_def_18,
inference(superposition,[status(thm)],[c_11706,c_15741]) ).
tcf(c_15992,plain,
multiply(inverse(sk_c8),multiply(iPr_def_14,sk_c11)) = iPr_def_18,
inference(superposition,[status(thm)],[c_12297,c_15741]) ).
tcf(c_15993,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15741,c_15741]) ).
tcf(c_15994,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_15741,c_115]) ).
tcf(c_16765,plain,
multiply(inverse(inverse(sk_c9)),sk_c11) = iPr_def_18,
inference(superposition,[status(thm)],[c_15766,c_15741]) ).
tcf(c_16768,plain,
( ~ iPr_def_11
| ( sk_c12 != sk_c11 )
| ( inverse(inverse(identity)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15770,c_750]) ).
tcf(c_16769,plain,
( ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(inverse(identity)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15770,c_749]) ).
tcf(c_16770,plain,
! [X0: $i] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[c_15770,c_15741]) ).
tcf(c_16772,plain,
( ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(inverse(identity)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15770,c_752]) ).
tcf(c_16773,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(identity)) != inverse(X0) )
| ( inverse(inverse(inverse(identity))) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15770,c_747]) ).
tcf(c_16791,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15771,c_15993]) ).
tcf(c_16796,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16791,c_115]) ).
tcf(c_16798,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16791,c_115]) ).
tcf(c_16799,plain,
multiply(sk_c12,identity) = multiply(iPr_def_28,iPr_def_29),
inference(superposition,[status(thm)],[c_16791,c_6812]) ).
tcf(c_16800,plain,
multiply(sk_c3,sk_c12) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_16791,c_3885]) ).
tcf(c_16801,plain,
multiply(sk_c4,sk_c12) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_16791,c_3879]) ).
tcf(c_16802,plain,
multiply(sk_c1,sk_c12) = multiply(iPr_def_29,identity),
inference(superposition,[status(thm)],[c_16791,c_3878]) ).
tcf(c_16803,plain,
multiply(sk_c12,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_16791,c_7204]) ).
tcf(c_16804,plain,
multiply(sk_c11,identity) = multiply(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_16791,c_7199]) ).
tcf(c_16805,plain,
multiply(sk_c2,sk_c11) = multiply(iPr_def_27,identity),
inference(superposition,[status(thm)],[c_16791,c_3884]) ).
tcf(c_16806,plain,
multiply(sk_c9,sk_c11) = multiply(iPr_def_18,identity),
inference(superposition,[status(thm)],[c_16791,c_3882]) ).
tcf(c_16807,plain,
multiply(sk_c5,sk_c11) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_16791,c_3880]) ).
tcf(c_16808,plain,
multiply(sk_c9,identity) = multiply(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_16791,c_7194]) ).
tcf(c_16809,plain,
multiply(sk_c8,sk_c9) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_16791,c_3883]) ).
tcf(c_16810,plain,
multiply(sk_c6,sk_c9) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_16791,c_3881]) ).
tcf(c_16811,plain,
multiply(sk_c9,identity) = multiply(iPr_def_17,iPr_def_14),
inference(superposition,[status(thm)],[c_16791,c_7189]) ).
tcf(c_16812,plain,
multiply(sk_c11,identity) = multiply(iPr_def_26,iPr_def_27),
inference(superposition,[status(thm)],[c_16791,c_6807]) ).
tcf(c_16813,plain,
multiply(sk_c12,identity) = multiply(iPr_def_25,iPr_def_15),
inference(superposition,[status(thm)],[c_16791,c_6802]) ).
tcf(c_16822,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_16791,c_15770]) ).
tcf(c_16823,plain,
multiply(sk_c12,identity) = sk_c12,
inference(light_normalisation,[status(thm)],[c_16813,c_6799]) ).
tcf(c_16824,plain,
multiply(sk_c11,identity) = sk_c11,
inference(light_normalisation,[status(thm)],[c_16812,c_6804]) ).
tcf(c_16825,plain,
multiply(sk_c9,identity) = sk_c9,
inference(light_normalisation,[status(thm)],[c_16811,c_7113]) ).
tcf(c_16826,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_16810,c_736]) ).
tcf(c_16827,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_16809,c_730]) ).
tcf(c_16829,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_16807,c_738]) ).
tcf(c_16830,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_16806,c_734]) ).
tcf(c_16831,plain,
multiply(iPr_def_27,identity) = iPr_def_27,
inference(light_normalisation,[status(thm)],[c_16805,c_743]) ).
tcf(c_16834,plain,
multiply(iPr_def_29,identity) = iPr_def_29,
inference(light_normalisation,[status(thm)],[c_16802,c_745]) ).
tcf(c_16835,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_16801,c_740]) ).
tcf(c_16836,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_16800,c_731]) ).
tcf(c_16841,plain,
! [X0: $i] : multiply(identity,multiply(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_16822,c_15741]) ).
tcf(c_16842,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_16822,c_114]) ).
tcf(c_16843,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(identity) )
| ( multiply(X0,identity) != inverse(X0) )
| ( multiply(identity,inverse(identity)) != sk_c12 )
| ( multiply(inverse(identity),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_16822,c_747]) ).
tcf(c_16845,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != X0 )
| ( multiply(identity,identity) != sk_c12 )
| ( multiply(identity,sk_c11) != sk_c12 )
| ( inverse(inverse(X0)) != identity ) ),
inference(light_normalisation,[status(thm)],[c_16843,c_16791,c_16822]) ).
tcf(c_16899,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_22 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2072,c_3254]) ).
tcf(c_16900,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1893,c_3254]) ).
tcf(c_16901,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1794,c_3254]) ).
tcf(c_16902,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1321,c_3254]) ).
tcf(c_16903,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1275,c_3254]) ).
tcf(c_16904,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1184,c_3254]) ).
tcf(c_16905,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1172,c_3254]) ).
tcf(c_16906,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_22 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_810,c_3254]) ).
tcf(c_16907,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_22 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_800,c_3254]) ).
tcf(c_16908,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_792,c_3254]) ).
tcf(c_16909,plain,
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_791,c_3254]) ).
tcf(c_16910,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_790,c_3254]) ).
tcf(c_16911,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_789,c_3254]) ).
tcf(c_16912,plain,
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_788,c_3254]) ).
tcf(c_16913,plain,
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_786,c_3254]) ).
tcf(c_16914,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_22 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_780,c_3254]) ).
tcf(c_16915,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_772,c_3254]) ).
tcf(c_16916,plain,
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_771,c_3254]) ).
tcf(c_16917,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_770,c_3254]) ).
tcf(c_16918,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_769,c_3254]) ).
tcf(c_16919,plain,
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_768,c_3254]) ).
tcf(c_16920,plain,
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_766,c_3254]) ).
tcf(c_16921,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_762,c_3254]) ).
tcf(c_16922,plain,
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_761,c_3254]) ).
tcf(c_16923,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_22 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_760,c_3254]) ).
tcf(c_16924,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_759,c_3254]) ).
tcf(c_16925,plain,
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_758,c_3254]) ).
tcf(c_16926,plain,
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_756,c_3254]) ).
tcf(c_17125,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_772,c_16921]) ).
tcf(c_17191,plain,
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_771,c_16922]) ).
tcf(c_17258,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_769,c_16924]) ).
tcf(c_17324,plain,
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_768,c_16925]) ).
tcf(c_17390,plain,
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_766,c_16926]) ).
tcf(c_17436,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2072,c_3258]) ).
tcf(c_17437,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1893,c_3258]) ).
tcf(c_17438,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1794,c_3258]) ).
tcf(c_17439,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1321,c_3258]) ).
tcf(c_17440,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1275,c_3258]) ).
tcf(c_17441,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1184,c_3258]) ).
tcf(c_17442,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1172,c_3258]) ).
tcf(c_17443,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_810,c_3258]) ).
tcf(c_17444,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_800,c_3258]) ).
tcf(c_17447,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_790,c_3258]) ).
tcf(c_17451,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_780,c_3258]) ).
tcf(c_17454,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_770,c_3258]) ).
tcf(c_17460,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_760,c_3258]) ).
tcf(c_17559,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2072,c_3262]) ).
tcf(c_17560,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1893,c_3262]) ).
tcf(c_17561,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1794,c_3262]) ).
tcf(c_17562,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1321,c_3262]) ).
tcf(c_17563,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1275,c_3262]) ).
tcf(c_17564,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1184,c_3262]) ).
tcf(c_17565,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1172,c_3262]) ).
tcf(c_17566,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_810,c_3262]) ).
tcf(c_17567,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_3262]) ).
tcf(c_17570,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_790,c_3262]) ).
tcf(c_17574,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_780,c_3262]) ).
tcf(c_17577,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_770,c_3262]) ).
tcf(c_17583,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_760,c_3262]) ).
tcf(c_17705,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3177,c_3343]) ).
tcf(c_17706,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_21 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2915,c_3343]) ).
tcf(c_17707,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2777,c_3343]) ).
tcf(c_17708,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2688,c_3343]) ).
tcf(c_17709,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2184,c_3343]) ).
tcf(c_17710,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2178,c_3343]) ).
tcf(c_17711,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_21 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2017,c_3343]) ).
tcf(c_17712,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_21 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2011,c_3343]) ).
tcf(c_17713,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_26 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1556,c_3343]) ).
tcf(c_17714,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_26 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1528,c_3343]) ).
tcf(c_17715,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1482,c_3343]) ).
tcf(c_17716,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_21 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1403,c_3343]) ).
tcf(c_17717,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_812,c_3343]) ).
tcf(c_17718,plain,
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_811,c_3343]) ).
tcf(c_17719,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_809,c_3343]) ).
tcf(c_17720,plain,
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_808,c_3343]) ).
tcf(c_17721,plain,
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_806,c_3343]) ).
tcf(c_17722,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_802,c_3343]) ).
tcf(c_17723,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_21 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_799,c_3343]) ).
tcf(c_17724,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_26 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_782,c_3343]) ).
tcf(c_17725,plain,
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_26 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_781,c_3343]) ).
tcf(c_17726,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_26 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_779,c_3343]) ).
tcf(c_17727,plain,
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_26 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_778,c_3343]) ).
tcf(c_17728,plain,
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_26 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_776,c_3343]) ).
tcf(c_17876,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_3347,c_3351,c_3347,c_10211,c_11007]) ).
tcf(c_17878,plain,
~ iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_17876,c_3351,c_10245,c_11071,c_17876]) ).
tcf(c_17880,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_10 ),
inference(backward_subsumption_resolution,[status(thm)],[c_746,c_17878]) ).
tcf(c_17930,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,sk_c6) ) ),
inference(superposition,[status(thm)],[c_1354,c_3889]) ).
tcf(c_17931,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c6,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_3908,c_3889]) ).
tcf(c_17932,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,sk_c9) = multiply(iPr_def_14,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7191,c_3889]) ).
tcf(c_17933,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(sk_c9,X0)) = multiply(iPr_def_14,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_7194,c_3889]) ).
tcf(c_17936,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_19) = multiply(iPr_def_14,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_3889]) ).
tcf(c_17937,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_3889,c_15741]) ).
tcf(c_17938,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(multiply(iPr_def_19,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_3889,c_115]) ).
tcf(c_17939,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_3889,c_3907]) ).
tcf(c_17942,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_20) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_17932,c_730]) ).
tcf(c_17947,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_17939,c_7189]) ).
tcf(c_17953,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_20,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_17933,c_3883]) ).
tcf(c_17978,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_3449,c_148,c_819,c_737,c_742,c_2636,c_2637,c_3387,c_3449,c_4265,c_5763,c_5831,c_8849]) ).
tcf(c_18007,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_2072,c_17978]) ).
tcf(c_18008,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_1893,c_17978]) ).
tcf(c_18009,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_1794,c_17978]) ).
tcf(c_18014,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_810,c_17978]) ).
tcf(c_18015,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_800,c_17978]) ).
tcf(c_18016,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_792,c_17978]) ).
tcf(c_18017,plain,
( ( sk_c12 = iPr_def_23 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_791,c_17978]) ).
tcf(c_18018,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_790,c_17978]) ).
tcf(c_18019,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_789,c_17978]) ).
tcf(c_18020,plain,
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_788,c_17978]) ).
tcf(c_18021,plain,
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_786,c_17978]) ).
tcf(c_18022,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_780,c_17978]) ).
tcf(c_18031,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_760,c_17978]) ).
tcf(c_18138,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_18016,c_3456,c_18019,c_18018]) ).
tcf(c_18140,plain,
( iPr_def_13
| iPr_def_12 ),
inference(backward_subsumption_resolution,[status(thm)],[c_17880,c_18138]) ).
tcf(c_18221,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_23)) != sk_c10 )
| ( multiply(sk_c4,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15932,c_749]) ).
tcf(c_18222,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_23)),multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_15932,c_15741]) ).
tcf(c_18223,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_23),multiply(X0,X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_15932,c_115]) ).
tcf(c_18224,plain,
multiply(sk_c4,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_15932,c_114]) ).
tcf(c_18225,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_23))) != inverse(X0) )
| ( multiply(sk_c4,inverse(X0)) != inverse(inverse(iPr_def_23)) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15932,c_747]) ).
tcf(c_18226,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_15932,c_15741]) ).
tcf(c_18227,plain,
multiply(sk_c4,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_15932,c_16791]) ).
tcf(c_18228,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_24 )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_18221,c_740]) ).
tcf(c_18237,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_6645,c_18224]) ).
tcf(c_18238,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_5614,c_18224]) ).
tcf(c_18239,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_5520,c_18224]) ).
tcf(c_18240,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_4283,c_18224]) ).
tcf(c_18253,plain,
multiply(inverse(sk_c4),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_18224,c_15741]) ).
tcf(c_18254,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_18224,c_115]) ).
tcf(c_18255,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_18224,c_3910]) ).
tcf(c_18258,plain,
inverse(iPr_def_23) = sk_c4,
inference(demodulation,[status(thm)],[c_18227,c_16791]) ).
tcf(c_18262,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c12 )
| ( multiply(inverse(iPr_def_23),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18258,c_747]) ).
tcf(c_18263,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c12 != identity )
| ( multiply(sk_c4,sk_c11) != sk_c12 )
| ( inverse(inverse(X0)) != sk_c4 )
| ( multiply(X0,sk_c4) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_18262,c_1352,c_18258]) ).
tcf(c_18270,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_1352,c_18226]) ).
tcf(c_18271,plain,
multiply(sk_c4,sk_c12) = iPr_def_24,
inference(superposition,[status(thm)],[c_7201,c_18226]) ).
tcf(c_18274,plain,
! [X0: $i] : multiply(inverse(sk_c4),X0) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_18226,c_15741]) ).
tcf(c_18275,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(iPr_def_23,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_18226,c_115]) ).
tcf(c_18304,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,sk_c7) ) ),
inference(superposition,[status(thm)],[c_1356,c_4936]) ).
tcf(c_18305,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2615,c_4936]) ).
tcf(c_18306,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2230,c_4936]) ).
tcf(c_18308,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2226,c_4936]) ).
tcf(c_18310,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2222,c_4936]) ).
tcf(c_18311,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2689,c_4936]) ).
tcf(c_18312,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2295,c_4936]) ).
tcf(c_18313,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2229,c_4936]) ).
tcf(c_18315,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2225,c_4936]) ).
tcf(c_18317,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_3906,c_4936]) ).
tcf(c_18320,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_14,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_4936]) ).
tcf(c_18321,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_4936,c_15741]) ).
tcf(c_18322,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_4936,c_115]) ).
tcf(c_18323,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_4936,c_3907]) ).
tcf(c_18332,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_18323,c_7189]) ).
tcf(c_18365,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18237,c_16822]) ).
tcf(c_18366,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_18237,c_16791]) ).
tcf(c_18367,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18237,c_113]) ).
tcf(c_18380,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18238,c_16822]) ).
tcf(c_18381,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_18238,c_16791]) ).
tcf(c_18382,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18238,c_113]) ).
tcf(c_18405,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18239,c_16822]) ).
tcf(c_18406,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_18239,c_16791]) ).
tcf(c_18407,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18239,c_113]) ).
tcf(c_18420,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18240,c_16822]) ).
tcf(c_18421,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_18240,c_16791]) ).
tcf(c_18422,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18240,c_113]) ).
tcf(c_18503,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_21)) != sk_c10 )
| ( multiply(sk_c5,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15933,c_749]) ).
tcf(c_18504,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_21)),multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_15933,c_15741]) ).
tcf(c_18505,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_21),multiply(X0,X1)) = multiply(multiply(sk_c5,X0),X1),
inference(superposition,[status(thm)],[c_15933,c_115]) ).
tcf(c_18506,plain,
multiply(sk_c5,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_15933,c_114]) ).
tcf(c_18507,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_21))) != inverse(X0) )
| ( multiply(sk_c5,inverse(X0)) != inverse(inverse(iPr_def_21)) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15933,c_747]) ).
tcf(c_18508,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_15933,c_15741]) ).
tcf(c_18509,plain,
multiply(sk_c5,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_15933,c_16791]) ).
tcf(c_18518,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_6424,c_18506]) ).
tcf(c_18519,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_5125,c_18506]) ).
tcf(c_18520,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_4974,c_18506]) ).
tcf(c_18521,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_4239,c_18506]) ).
tcf(c_18522,plain,
( ( identity = iPr_def_22 )
| ( sk_c12 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_2390,c_18506]) ).
tcf(c_18547,plain,
multiply(inverse(sk_c5),identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_18506,c_15741]) ).
tcf(c_18548,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_18506,c_115]) ).
tcf(c_18549,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_18506,c_3909]) ).
tcf(c_18552,plain,
inverse(iPr_def_21) = sk_c5,
inference(demodulation,[status(thm)],[c_18509,c_16791]) ).
tcf(c_18556,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_21) )
| ( multiply(X0,sk_c5) != inverse(X0) )
| ( multiply(iPr_def_21,inverse(iPr_def_21)) != sk_c12 )
| ( multiply(inverse(iPr_def_21),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18552,c_747]) ).
tcf(c_18557,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c12 != iPr_def_22 )
| ( sk_c12 != identity )
| ( inverse(inverse(X0)) != sk_c5 )
| ( multiply(X0,sk_c5) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_18556,c_738,c_1353,c_18552]) ).
tcf(c_18591,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18518,c_18239]) ).
tcf(c_18593,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18518,c_18237]) ).
tcf(c_18594,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18518,c_16822]) ).
tcf(c_18595,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_18518,c_16791]) ).
tcf(c_18596,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18518,c_113]) ).
tcf(c_18620,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_18519,c_18238]) ).
tcf(c_18622,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18519,c_16822]) ).
tcf(c_18623,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_18519,c_16791]) ).
tcf(c_18624,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18519,c_113]) ).
tcf(c_18644,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18520,c_18239]) ).
tcf(c_18647,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18520,c_16822]) ).
tcf(c_18648,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_18520,c_16791]) ).
tcf(c_18649,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18520,c_113]) ).
tcf(c_18678,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18521,c_18240]) ).
tcf(c_18682,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18521,c_16822]) ).
tcf(c_18683,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_18521,c_16791]) ).
tcf(c_18684,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18521,c_113]) ).
tcf(c_18695,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm)],[c_1353,c_18508]) ).
tcf(c_18696,plain,
multiply(sk_c5,sk_c11) = iPr_def_22,
inference(superposition,[status(thm)],[c_7196,c_18508]) ).
tcf(c_18699,plain,
! [X0: $i] : multiply(inverse(sk_c5),X0) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_18508,c_15741]) ).
tcf(c_18700,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(iPr_def_21,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_18508,c_115]) ).
tcf(c_18759,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_18522,c_3885]) ).
tcf(c_18760,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_18522,c_3879]) ).
tcf(c_18761,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_18522,c_3878]) ).
tcf(c_18762,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18522,c_3131]) ).
tcf(c_18763,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18522,c_2819]) ).
tcf(c_18764,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18522,c_2719]) ).
tcf(c_18766,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18522,c_2124]) ).
tcf(c_18768,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18522,c_1935]) ).
tcf(c_18770,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18522,c_1826]) ).
tcf(c_18774,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18522,c_749]) ).
tcf(c_18775,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_18522,c_745]) ).
tcf(c_18776,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18522,c_740]) ).
tcf(c_18777,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18522,c_731]) ).
tcf(c_18916,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_26,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_18593,c_6812]) ).
tcf(c_18938,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_26) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_18593,c_6809]) ).
tcf(c_18967,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18367,c_749]) ).
tcf(c_18968,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18367,c_15741]) ).
tcf(c_18969,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18367,c_115]) ).
tcf(c_18970,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18367,c_747]) ).
tcf(c_18971,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_18367,c_7204]) ).
tcf(c_18998,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18382,c_749]) ).
tcf(c_18999,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18382,c_15741]) ).
tcf(c_19000,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18382,c_115]) ).
tcf(c_19001,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18382,c_747]) ).
tcf(c_19002,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_18382,c_7204]) ).
tcf(c_19039,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18407,c_749]) ).
tcf(c_19040,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18407,c_15741]) ).
tcf(c_19041,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18407,c_115]) ).
tcf(c_19042,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18407,c_747]) ).
tcf(c_19043,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_18407,c_7204]) ).
tcf(c_19070,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18422,c_749]) ).
tcf(c_19071,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18422,c_15741]) ).
tcf(c_19072,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18422,c_115]) ).
tcf(c_19073,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18422,c_747]) ).
tcf(c_19074,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_18422,c_7204]) ).
tcf(c_19219,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_18620,c_6807]) ).
tcf(c_19226,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18620,c_6804]) ).
tcf(c_19244,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_18644,c_6807]) ).
tcf(c_19251,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18644,c_6804]) ).
tcf(c_19261,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_18678,c_6802]) ).
tcf(c_19262,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_18678,c_6799]) ).
tcf(c_19263,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18678,c_3903]) ).
tcf(c_19264,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_18678,c_1359]) ).
tcf(c_19282,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_19)) != sk_c10 )
| ( multiply(sk_c6,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15934,c_749]) ).
tcf(c_19283,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_19)),multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_15934,c_15741]) ).
tcf(c_19284,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_19),multiply(X0,X1)) = multiply(multiply(sk_c6,X0),X1),
inference(superposition,[status(thm)],[c_15934,c_115]) ).
tcf(c_19285,plain,
multiply(sk_c6,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_15934,c_114]) ).
tcf(c_19286,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_19))) != inverse(X0) )
| ( multiply(sk_c6,inverse(X0)) != inverse(inverse(iPr_def_19)) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15934,c_747]) ).
tcf(c_19287,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_15934,c_15741]) ).
tcf(c_19288,plain,
multiply(sk_c6,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_15934,c_16791]) ).
tcf(c_19297,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_2781,c_19285]) ).
tcf(c_19298,plain,
( ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_2338,c_19285]) ).
tcf(c_19299,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1895,c_19285]) ).
tcf(c_19300,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_1557,c_19285]) ).
tcf(c_19301,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1342,c_19285]) ).
tcf(c_19302,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1340,c_19285]) ).
tcf(c_19334,plain,
( ( sk_c10 = iPr_def_25 )
| ( iPr_def_25 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_5553]) ).
tcf(c_19335,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_813]) ).
tcf(c_19366,plain,
multiply(inverse(sk_c6),identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_19285,c_15741]) ).
tcf(c_19367,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_19285,c_115]) ).
tcf(c_19368,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_19285,c_3908]) ).
tcf(c_19402,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_29,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_19297,c_3884]) ).
tcf(c_19406,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_19297,c_3882]) ).
tcf(c_19407,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_29,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_19297,c_3880]) ).
tcf(c_19422,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19297,c_3177]) ).
tcf(c_19423,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19297,c_2915]) ).
tcf(c_19424,plain,
( ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19297,c_2184]) ).
tcf(c_19425,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19297,c_2178]) ).
tcf(c_19426,plain,
( ( iPr_def_21 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19297,c_2017]) ).
tcf(c_19427,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19297,c_2011]) ).
tcf(c_19430,plain,
( ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19297,c_1482]) ).
tcf(c_19431,plain,
( ( iPr_def_21 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19297,c_1403]) ).
tcf(c_19434,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19297,c_782]) ).
tcf(c_19435,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19297,c_781]) ).
tcf(c_19436,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_19297,c_779]) ).
tcf(c_19437,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19297,c_778]) ).
tcf(c_19438,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_19297,c_776]) ).
tcf(c_19439,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19297,c_743]) ).
tcf(c_19440,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_29) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19297,c_738]) ).
tcf(c_19441,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_19297,c_734]) ).
tcf(c_19591,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19298,c_3885]) ).
tcf(c_19592,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_19298,c_3879]) ).
tcf(c_19593,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_19298,c_3878]) ).
tcf(c_19594,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_3131]) ).
tcf(c_19595,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_2819]) ).
tcf(c_19596,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_2719]) ).
tcf(c_19597,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_2130]) ).
tcf(c_19598,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_2124]) ).
tcf(c_19599,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_1941]) ).
tcf(c_19600,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_1935]) ).
tcf(c_19601,plain,
( ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_1832]) ).
tcf(c_19602,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_1826]) ).
tcf(c_19603,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_1459]) ).
tcf(c_19604,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_1374]) ).
tcf(c_19605,plain,
( ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19298,c_1297]) ).
tcf(c_19606,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19298,c_749]) ).
tcf(c_19607,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_28) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19298,c_745]) ).
tcf(c_19608,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19298,c_740]) ).
tcf(c_19609,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19298,c_731]) ).
tcf(c_19786,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19299,c_3262]) ).
tcf(c_19787,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19299,c_3258]) ).
tcf(c_19788,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_19299,c_3254]) ).
tcf(c_19807,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19299,c_1240]) ).
tcf(c_19808,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19299,c_1231]) ).
tcf(c_19809,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_19299,c_1217]) ).
tcf(c_19810,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19299,c_1216]) ).
tcf(c_19811,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_19299,c_1215]) ).
tcf(c_19812,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19299,c_2072]) ).
tcf(c_19820,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19299,c_772]) ).
tcf(c_19821,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19299,c_771]) ).
tcf(c_19822,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19299,c_770]) ).
tcf(c_19823,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_19299,c_769]) ).
tcf(c_19824,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19299,c_768]) ).
tcf(c_19825,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_19299,c_766]) ).
tcf(c_19826,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19299,c_762]) ).
tcf(c_19827,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19299,c_761]) ).
tcf(c_19829,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_19299,c_759]) ).
tcf(c_19830,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19299,c_758]) ).
tcf(c_19831,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_19299,c_756]) ).
tcf(c_20028,plain,
inverse(iPr_def_19) = sk_c6,
inference(demodulation,[status(thm)],[c_19288,c_16791]) ).
tcf(c_20032,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,sk_c6) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c12 )
| ( multiply(inverse(iPr_def_19),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_20028,c_747]) ).
tcf(c_20033,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c12 != identity )
| ( multiply(sk_c6,sk_c11) != sk_c12 )
| ( inverse(inverse(X0)) != sk_c6 )
| ( multiply(X0,sk_c6) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_20032,c_1354,c_20028]) ).
tcf(c_20040,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2782,c_19287]) ).
tcf(c_20041,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2339,c_19287]) ).
tcf(c_20042,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1896,c_19287]) ).
tcf(c_20043,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1558,c_19287]) ).
tcf(c_20044,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1330,c_19287]) ).
tcf(c_20045,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1328,c_19287]) ).
tcf(c_20046,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm)],[c_1354,c_19287]) ).
tcf(c_20047,plain,
multiply(sk_c6,sk_c9) = iPr_def_20,
inference(superposition,[status(thm)],[c_7191,c_19287]) ).
tcf(c_20049,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10039,c_19287]) ).
tcf(c_20050,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_10040,c_19287]) ).
tcf(c_20052,plain,
! [X0: $i] : multiply(inverse(sk_c6),X0) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_19287,c_15741]) ).
tcf(c_20053,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_19287,c_115]) ).
tcf(c_20055,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_20050,c_11706]) ).
tcf(c_20058,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_20049,c_11706]) ).
tcf(c_20061,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_20045,c_11706]) ).
tcf(c_20064,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_20044,c_11706]) ).
tcf(c_20067,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_20043,c_11706]) ).
tcf(c_20070,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_20042,c_11706]) ).
tcf(c_20073,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_20041,c_11706]) ).
tcf(c_20076,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_20040,c_11706]) ).
tcf(c_20163,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19300,c_19297]) ).
tcf(c_20172,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_19300,c_3884]) ).
tcf(c_20173,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_19300,c_3882]) ).
tcf(c_20174,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_19300,c_3880]) ).
tcf(c_20187,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19300,c_3177]) ).
tcf(c_20188,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19300,c_2915]) ).
tcf(c_20191,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19300,c_2184]) ).
tcf(c_20192,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19300,c_2178]) ).
tcf(c_20193,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19300,c_2017]) ).
tcf(c_20194,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19300,c_2011]) ).
tcf(c_20195,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19300,c_1482]) ).
tcf(c_20196,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19300,c_1403]) ).
tcf(c_20204,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19300,c_743]) ).
tcf(c_20205,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19300,c_738]) ).
tcf(c_20206,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_19300,c_734]) ).
tcf(c_20354,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19301,c_19299]) ).
tcf(c_20355,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19301,c_3262]) ).
tcf(c_20356,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19301,c_3258]) ).
tcf(c_20357,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_19301,c_3254]) ).
tcf(c_20366,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19301,c_2072]) ).
tcf(c_20380,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19301,c_772]) ).
tcf(c_20381,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19301,c_771]) ).
tcf(c_20382,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19301,c_770]) ).
tcf(c_20383,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_19301,c_769]) ).
tcf(c_20384,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19301,c_768]) ).
tcf(c_20385,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_19301,c_766]) ).
tcf(c_20491,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19302,c_19301]) ).
tcf(c_20492,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19302,c_19299]) ).
tcf(c_20493,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( sk_c10 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19302,c_3262]) ).
tcf(c_20494,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( sk_c10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19302,c_3258]) ).
tcf(c_20495,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_19302,c_3254]) ).
tcf(c_20514,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19302,c_1240]) ).
tcf(c_20515,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19302,c_1231]) ).
tcf(c_20516,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_19302,c_1217]) ).
tcf(c_20517,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19302,c_1216]) ).
tcf(c_20518,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_19302,c_1215]) ).
tcf(c_20519,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19302,c_2072]) ).
tcf(c_20600,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18596,c_749]) ).
tcf(c_20601,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18596,c_15741]) ).
tcf(c_20602,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18596,c_115]) ).
tcf(c_20603,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18596,c_747]) ).
tcf(c_20604,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_18596,c_7199]) ).
tcf(c_20771,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18624,c_749]) ).
tcf(c_20772,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18624,c_15741]) ).
tcf(c_20773,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18624,c_115]) ).
tcf(c_20774,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18624,c_747]) ).
tcf(c_20775,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_18624,c_7199]) ).
tcf(c_20810,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20163,c_18520]) ).
tcf(c_20812,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20163,c_18518]) ).
tcf(c_20814,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20163,c_18239]) ).
tcf(c_20816,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20163,c_18237]) ).
tcf(c_20817,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_20163,c_16822]) ).
tcf(c_20818,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_20163,c_16791]) ).
tcf(c_20819,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20163,c_113]) ).
tcf(c_20852,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_20354,c_18519]) ).
tcf(c_20856,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_20354,c_18238]) ).
tcf(c_20858,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_20354,c_16822]) ).
tcf(c_20859,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_20354,c_16791]) ).
tcf(c_20860,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20354,c_113]) ).
tcf(c_20885,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20491,c_18521]) ).
tcf(c_20889,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20491,c_18240]) ).
tcf(c_20893,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_20491,c_16822]) ).
tcf(c_20894,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_20491,c_16791]) ).
tcf(c_20895,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20491,c_113]) ).
tcf(c_20921,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20492,c_18520]) ).
tcf(c_20925,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20492,c_18239]) ).
tcf(c_20928,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_20492,c_16822]) ).
tcf(c_20929,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_20492,c_16791]) ).
tcf(c_20930,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20492,c_113]) ).
tcf(c_20966,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18649,c_749]) ).
tcf(c_20967,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18649,c_15741]) ).
tcf(c_20968,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18649,c_115]) ).
tcf(c_20969,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18649,c_747]) ).
tcf(c_20970,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_18649,c_7199]) ).
tcf(c_20997,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18684,c_749]) ).
tcf(c_20998,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18684,c_15741]) ).
tcf(c_20999,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_18684,c_115]) ).
tcf(c_21000,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18684,c_747]) ).
tcf(c_21001,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_18684,c_7199]) ).
tcf(c_21027,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18775,c_15741]) ).
tcf(c_21029,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18775,c_3905]) ).
tcf(c_21036,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18776,c_15741]) ).
tcf(c_21038,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18776,c_3910]) ).
tcf(c_21045,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_26,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_20812,c_6812]) ).
tcf(c_21067,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_26) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_20812,c_6809]) ).
tcf(c_21077,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_26,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_20816,c_6812]) ).
tcf(c_21099,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_26) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_20816,c_6809]) ).
tcf(c_21252,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_20852,c_6807]) ).
tcf(c_21259,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20852,c_6804]) ).
tcf(c_21277,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_20856,c_6807]) ).
tcf(c_21284,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20856,c_6804]) ).
tcf(c_21312,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18777,c_15741]) ).
tcf(c_21314,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18777,c_3903]) ).
tcf(c_21330,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19439,c_15741]) ).
tcf(c_21332,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19439,c_3904]) ).
tcf(c_21348,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19440,c_15741]) ).
tcf(c_21350,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19440,c_3909]) ).
tcf(c_21390,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19441,c_15741]) ).
tcf(c_21392,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_19441,c_3883]) ).
tcf(c_21393,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_19441,c_3881]) ).
tcf(c_21395,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_21393,c_11706]) ).
tcf(c_21398,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_21392,c_12297]) ).
tcf(c_21405,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_20885,c_6802]) ).
tcf(c_21406,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_20885,c_6799]) ).
tcf(c_21407,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20885,c_3903]) ).
tcf(c_21408,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_20885,c_1359]) ).
tcf(c_21423,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_20889,c_6802]) ).
tcf(c_21424,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_20889,c_6799]) ).
tcf(c_21425,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20889,c_3903]) ).
tcf(c_21426,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_20889,c_1359]) ).
tcf(c_21453,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_20921,c_6807]) ).
tcf(c_21460,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20921,c_6804]) ).
tcf(c_21482,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_20925,c_6807]) ).
tcf(c_21489,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20925,c_6804]) ).
tcf(c_21513,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_1355,c_6814]) ).
tcf(c_21514,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_3907,c_6814]) ).
tcf(c_21515,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7113,c_6814]) ).
tcf(c_21516,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_7189,c_6814]) ).
tcf(c_21518,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6814,c_15741]) ).
tcf(c_21519,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6814,c_115]) ).
tcf(c_21520,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6814,c_4936]) ).
tcf(c_21527,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_21518,c_15936]) ).
tcf(c_21604,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19607,c_15741]) ).
tcf(c_21606,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19607,c_3905]) ).
tcf(c_21613,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19608,c_15741]) ).
tcf(c_21615,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19608,c_3910]) ).
tcf(c_21622,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19609,c_15741]) ).
tcf(c_21624,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19609,c_3903]) ).
tcf(c_21631,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20204,c_15741]) ).
tcf(c_21633,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20204,c_3904]) ).
tcf(c_21640,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2300,c_15935]) ).
tcf(c_21641,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1797,c_15935]) ).
tcf(c_21642,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1530,c_15935]) ).
tcf(c_21643,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1276,c_15935]) ).
tcf(c_21644,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1202,c_15935]) ).
tcf(c_21645,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_17)) != sk_c10 )
| ( multiply(sk_c8,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15935,c_749]) ).
tcf(c_21646,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_17)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_15935,c_15741]) ).
tcf(c_21647,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_17),multiply(X0,X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_15935,c_115]) ).
tcf(c_21648,plain,
multiply(sk_c8,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_15935,c_114]) ).
tcf(c_21649,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_17))) != inverse(X0) )
| ( multiply(sk_c8,inverse(X0)) != inverse(inverse(iPr_def_17)) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15935,c_747]) ).
tcf(c_21650,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_15935,c_15741]) ).
tcf(c_21651,plain,
multiply(sk_c8,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_15935,c_16791]) ).
tcf(c_21713,plain,
multiply(inverse(sk_c8),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_21648,c_15741]) ).
tcf(c_21714,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_21648,c_115]) ).
tcf(c_21715,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_21648,c_3907]) ).
tcf(c_21718,plain,
inverse(iPr_def_17) = sk_c8,
inference(demodulation,[status(thm)],[c_21651,c_16791]) ).
tcf(c_21720,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_2694,c_21718]) ).
tcf(c_21721,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c12 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_2300,c_21718]) ).
tcf(c_21722,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1797,c_21718]) ).
tcf(c_21723,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c11 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_1530,c_21718]) ).
tcf(c_21724,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1276,c_21718]) ).
tcf(c_21725,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1202,c_21718]) ).
tcf(c_21740,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c8) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c12 )
| ( multiply(inverse(iPr_def_17),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_21718,c_747]) ).
tcf(c_21741,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c12 != identity )
| ( multiply(sk_c8,sk_c11) != sk_c12 )
| ( inverse(inverse(X0)) != sk_c8 )
| ( multiply(X0,sk_c8) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_21740,c_1355,c_21718]) ).
tcf(c_21748,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm)],[c_1355,c_21650]) ).
tcf(c_21749,plain,
multiply(sk_c8,sk_c9) = iPr_def_14,
inference(superposition,[status(thm)],[c_7113,c_21650]) ).
tcf(c_21752,plain,
! [X0: $i] : multiply(inverse(sk_c8),X0) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_21650,c_15741]) ).
tcf(c_21753,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_21650,c_115]) ).
tcf(c_21761,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6815,c_15741]) ).
tcf(c_21762,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6815,c_115]) ).
tcf(c_21763,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6815,c_4936]) ).
tcf(c_21764,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_21761,c_15936]) ).
tcf(c_21779,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_1355,c_6816]) ).
tcf(c_21781,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7113,c_6816]) ).
tcf(c_21782,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_7189,c_6816]) ).
tcf(c_21784,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6816,c_15741]) ).
tcf(c_21785,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6816,c_115]) ).
tcf(c_21786,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6816,c_4936]) ).
tcf(c_21791,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_21784,c_15936]) ).
tcf(c_21810,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6817,c_15741]) ).
tcf(c_21811,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6817,c_115]) ).
tcf(c_21812,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6817,c_4936]) ).
tcf(c_21813,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_21810,c_15936]) ).
tcf(c_21852,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_1355,c_6818]) ).
tcf(c_21854,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7113,c_6818]) ).
tcf(c_21855,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_7189,c_6818]) ).
tcf(c_21857,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6818,c_15741]) ).
tcf(c_21858,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6818,c_115]) ).
tcf(c_21859,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6818,c_4936]) ).
tcf(c_21864,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_21857,c_15936]) ).
tcf(c_21902,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6819,c_15741]) ).
tcf(c_21903,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6819,c_115]) ).
tcf(c_21904,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6819,c_4936]) ).
tcf(c_21905,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_21902,c_15936]) ).
tcf(c_21920,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_1355,c_6820]) ).
tcf(c_21922,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7113,c_6820]) ).
tcf(c_21923,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_7189,c_6820]) ).
tcf(c_21925,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_15741]) ).
tcf(c_21926,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6820,c_115]) ).
tcf(c_21927,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_4936]) ).
tcf(c_21932,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_21925,c_15936]) ).
tcf(c_21951,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6821,c_15741]) ).
tcf(c_21952,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6821,c_115]) ).
tcf(c_21953,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6821,c_4936]) ).
tcf(c_21954,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_21951,c_15936]) ).
tcf(c_22027,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_1355,c_6822]) ).
tcf(c_22029,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7113,c_6822]) ).
tcf(c_22030,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_7189,c_6822]) ).
tcf(c_22032,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6822,c_15741]) ).
tcf(c_22033,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6822,c_115]) ).
tcf(c_22034,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6822,c_4936]) ).
tcf(c_22039,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_22032,c_15936]) ).
tcf(c_22057,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20205,c_15741]) ).
tcf(c_22059,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20205,c_3909]) ).
tcf(c_22109,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20206,c_15741]) ).
tcf(c_22111,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_20206,c_3883]) ).
tcf(c_22112,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_20206,c_3881]) ).
tcf(c_22114,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_22112,c_11706]) ).
tcf(c_22117,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_22111,c_12297]) ).
tcf(c_22125,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_20819,c_749]) ).
tcf(c_22126,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20819,c_15741]) ).
tcf(c_22127,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_20819,c_115]) ).
tcf(c_22128,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_20819,c_747]) ).
tcf(c_22129,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_20819,c_7194]) ).
tcf(c_22156,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_20860,c_749]) ).
tcf(c_22157,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20860,c_15741]) ).
tcf(c_22158,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_20860,c_115]) ).
tcf(c_22159,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_20860,c_747]) ).
tcf(c_22160,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_20860,c_7194]) ).
tcf(c_22216,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21720,c_4936]) ).
tcf(c_22217,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21720,c_3889]) ).
tcf(c_22218,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_21720,c_12297]) ).
tcf(c_22220,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21720,c_2784]) ).
tcf(c_22221,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21720,c_2655]) ).
tcf(c_22222,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21720,c_2341]) ).
tcf(c_22223,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21720,c_2278]) ).
tcf(c_22226,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21720,c_1560]) ).
tcf(c_22227,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21720,c_1513]) ).
tcf(c_22230,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21720,c_3907]) ).
tcf(c_22233,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_21720,c_1355]) ).
tcf(c_22234,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21720,c_733]) ).
tcf(c_22295,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21721,c_4936]) ).
tcf(c_22296,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21721,c_3889]) ).
tcf(c_22297,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_21721,c_12297]) ).
tcf(c_22301,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21721,c_2341]) ).
tcf(c_22302,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21721,c_2278]) ).
tcf(c_22309,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21721,c_3907]) ).
tcf(c_22312,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_21721,c_1355]) ).
tcf(c_22313,plain,
( ( sk_c12 = iPr_def_28 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21721,c_733]) ).
tcf(c_22371,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21722,c_4936]) ).
tcf(c_22372,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21722,c_3889]) ).
tcf(c_22373,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_21722,c_12297]) ).
tcf(c_22379,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21722,c_1898]) ).
tcf(c_22380,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21722,c_1764]) ).
tcf(c_22381,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21722,c_1560]) ).
tcf(c_22382,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21722,c_1513]) ).
tcf(c_22383,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21722,c_1322]) ).
tcf(c_22384,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21722,c_1262]) ).
tcf(c_22385,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21722,c_3907]) ).
tcf(c_22386,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21722,c_1197]) ).
tcf(c_22387,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21722,c_1196]) ).
tcf(c_22388,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_21722,c_1355]) ).
tcf(c_22389,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21722,c_733]) ).
tcf(c_22492,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6823,c_15741]) ).
tcf(c_22493,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6823,c_115]) ).
tcf(c_22494,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6823,c_4936]) ).
tcf(c_22495,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_22492,c_15936]) ).
tcf(c_22510,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_1355,c_6824]) ).
tcf(c_22512,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7113,c_6824]) ).
tcf(c_22513,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_7189,c_6824]) ).
tcf(c_22515,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6824,c_15741]) ).
tcf(c_22516,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6824,c_115]) ).
tcf(c_22517,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6824,c_4936]) ).
tcf(c_22522,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_22515,c_15936]) ).
tcf(c_22540,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6825,c_15741]) ).
tcf(c_22541,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6825,c_115]) ).
tcf(c_22542,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6825,c_4936]) ).
tcf(c_22543,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_22540,c_15936]) ).
tcf(c_22569,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c12 )
| ( multiply(inverse(iPr_def_16),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_22234,c_747]) ).
tcf(c_22583,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c12 )
| ( multiply(inverse(iPr_def_16),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_22313,c_747]) ).
tcf(c_22597,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c12 )
| ( multiply(inverse(iPr_def_16),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_22389,c_747]) ).
tcf(c_22610,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_20895,c_749]) ).
tcf(c_22611,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20895,c_15741]) ).
tcf(c_22612,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_20895,c_115]) ).
tcf(c_22613,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_20895,c_747]) ).
tcf(c_22614,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_20895,c_7194]) ).
tcf(c_22675,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21723,c_4936]) ).
tcf(c_22676,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21723,c_3889]) ).
tcf(c_22677,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_21723,c_12297]) ).
tcf(c_22685,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21723,c_1560]) ).
tcf(c_22686,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21723,c_1513]) ).
tcf(c_22689,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21723,c_3907]) ).
tcf(c_22692,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_21723,c_1355]) ).
tcf(c_22693,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21723,c_733]) ).
tcf(c_22723,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21724,c_4936]) ).
tcf(c_22724,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21724,c_3889]) ).
tcf(c_22725,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_21724,c_12297]) ).
tcf(c_22735,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21724,c_1322]) ).
tcf(c_22736,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21724,c_1262]) ).
tcf(c_22737,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21724,c_3907]) ).
tcf(c_22738,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21724,c_1197]) ).
tcf(c_22739,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21724,c_1196]) ).
tcf(c_22740,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_21724,c_1355]) ).
tcf(c_22741,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21724,c_733]) ).
tcf(c_22946,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21725,c_4936]) ).
tcf(c_22947,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21725,c_3889]) ).
tcf(c_22948,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_16,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_21725,c_12297]) ).
tcf(c_22960,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21725,c_3907]) ).
tcf(c_22961,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21725,c_1197]) ).
tcf(c_22962,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21725,c_1196]) ).
tcf(c_22963,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_21725,c_1355]) ).
tcf(c_22964,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21725,c_733]) ).
tcf(c_22991,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_16)) != sk_c10 )
| ( multiply(sk_c7,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15936,c_749]) ).
tcf(c_22992,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_16)),multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_15936,c_15741]) ).
tcf(c_22993,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_16),multiply(X0,X1)) = multiply(multiply(sk_c7,X0),X1),
inference(superposition,[status(thm)],[c_15936,c_115]) ).
tcf(c_22994,plain,
multiply(sk_c7,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_15936,c_114]) ).
tcf(c_22995,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_16))) != inverse(X0) )
| ( multiply(sk_c7,inverse(X0)) != inverse(inverse(iPr_def_16)) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15936,c_747]) ).
tcf(c_22996,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_15936,c_15741]) ).
tcf(c_22997,plain,
multiply(sk_c7,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_15936,c_16791]) ).
tcf(c_23026,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(inverse(iPr_def_16),multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_6826,c_22993]) ).
tcf(c_23028,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_803,c_22994]) ).
tcf(c_23030,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_793,c_22994]) ).
tcf(c_23032,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_783,c_22994]) ).
tcf(c_23034,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_773,c_22994]) ).
tcf(c_23036,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_763,c_22994]) ).
tcf(c_23038,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_753,c_22994]) ).
tcf(c_23039,plain,
multiply(inverse(sk_c7),identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_22994,c_15741]) ).
tcf(c_23040,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_16,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_22994,c_115]) ).
tcf(c_23041,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_22994,c_3906]) ).
tcf(c_23062,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c12 )
| ( multiply(inverse(iPr_def_16),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_22693,c_747]) ).
tcf(c_23077,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c12 )
| ( multiply(inverse(iPr_def_16),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_22741,c_747]) ).
tcf(c_23092,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c12 )
| ( multiply(inverse(iPr_def_16),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_22964,c_747]) ).
tcf(c_23140,plain,
inverse(iPr_def_16) = sk_c7,
inference(demodulation,[status(thm)],[c_22997,c_16791]) ).
tcf(c_23141,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_22964,c_23140]) ).
tcf(c_23142,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c10 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_22741,c_23140]) ).
tcf(c_23143,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c11 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_22693,c_23140]) ).
tcf(c_23145,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c10 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_22389,c_23140]) ).
tcf(c_23146,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c12 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_22313,c_23140]) ).
tcf(c_23147,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_22234,c_23140]) ).
tcf(c_23162,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c12 )
| ( multiply(inverse(iPr_def_16),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_23140,c_747]) ).
tcf(c_23163,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c12 != identity )
| ( multiply(sk_c7,sk_c11) != sk_c12 )
| ( inverse(inverse(X0)) != sk_c7 )
| ( multiply(X0,sk_c7) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_23162,c_1356,c_23140]) ).
tcf(c_23171,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_803,c_22996]) ).
tcf(c_23173,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_793,c_22996]) ).
tcf(c_23175,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_783,c_22996]) ).
tcf(c_23177,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_773,c_22996]) ).
tcf(c_23179,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_763,c_22996]) ).
tcf(c_23181,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_753,c_22996]) ).
tcf(c_23182,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2653,c_22996]) ).
tcf(c_23183,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2276,c_22996]) ).
tcf(c_23184,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1762,c_22996]) ).
tcf(c_23185,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1511,c_22996]) ).
tcf(c_23186,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1331,c_22996]) ).
tcf(c_23187,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1329,c_22996]) ).
tcf(c_23188,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm)],[c_1356,c_22996]) ).
tcf(c_23189,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2615,c_22996]) ).
tcf(c_23190,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2230,c_22996]) ).
tcf(c_23191,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2228,c_22996]) ).
tcf(c_23192,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2226,c_22996]) ).
tcf(c_23193,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2224,c_22996]) ).
tcf(c_23194,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c7,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2222,c_22996]) ).
tcf(c_23195,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2689,c_22996]) ).
tcf(c_23196,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c7,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2295,c_22996]) ).
tcf(c_23197,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2229,c_22996]) ).
tcf(c_23198,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2227,c_22996]) ).
tcf(c_23199,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2225,c_22996]) ).
tcf(c_23200,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2223,c_22996]) ).
tcf(c_23213,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9901,c_22996]) ).
tcf(c_23214,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_9902,c_22996]) ).
tcf(c_23216,plain,
! [X0: $i] : multiply(inverse(sk_c7),X0) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_22996,c_15741]) ).
tcf(c_23217,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_22996,c_115]) ).
tcf(c_23420,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23028,c_15741]) ).
tcf(c_23421,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23028,c_115]) ).
tcf(c_23422,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23028,c_6825]) ).
tcf(c_23423,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23028,c_6823]) ).
tcf(c_23424,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23028,c_6821]) ).
tcf(c_23425,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23028,c_6819]) ).
tcf(c_23426,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23028,c_6817]) ).
tcf(c_23427,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23028,c_6815]) ).
tcf(c_23428,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c9,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_23028,c_7189]) ).
tcf(c_23438,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23030,c_15741]) ).
tcf(c_23439,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23030,c_115]) ).
tcf(c_23440,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23030,c_6825]) ).
tcf(c_23441,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23030,c_6823]) ).
tcf(c_23442,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23030,c_6821]) ).
tcf(c_23443,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23030,c_6819]) ).
tcf(c_23444,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23030,c_6817]) ).
tcf(c_23446,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c9,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_23030,c_7189]) ).
tcf(c_23456,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23032,c_15741]) ).
tcf(c_23457,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23032,c_115]) ).
tcf(c_23458,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23032,c_6825]) ).
tcf(c_23459,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23032,c_6823]) ).
tcf(c_23460,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23032,c_6821]) ).
tcf(c_23461,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23032,c_6819]) ).
tcf(c_23464,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c9,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_23032,c_7189]) ).
tcf(c_23474,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23034,c_15741]) ).
tcf(c_23475,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23034,c_115]) ).
tcf(c_23476,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23034,c_6825]) ).
tcf(c_23477,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23034,c_6823]) ).
tcf(c_23478,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23034,c_6821]) ).
tcf(c_23482,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c9,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_23034,c_7189]) ).
tcf(c_23492,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23036,c_15741]) ).
tcf(c_23493,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23036,c_115]) ).
tcf(c_23494,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23036,c_6825]) ).
tcf(c_23495,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23036,c_6823]) ).
tcf(c_23500,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_23036,c_7189]) ).
tcf(c_23510,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23038,c_15741]) ).
tcf(c_23511,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_23038,c_115]) ).
tcf(c_23512,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23038,c_6825]) ).
tcf(c_23518,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,iPr_def_16) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_23038,c_7189]) ).
tcf(c_23535,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_20930,c_749]) ).
tcf(c_23536,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20930,c_15741]) ).
tcf(c_23537,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_20930,c_115]) ).
tcf(c_23538,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_20930,c_747]) ).
tcf(c_23539,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_20930,c_7194]) ).
tcf(c_23580,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(sk_c8,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7116,c_21647,c_21718]) ).
tcf(c_23581,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(sk_c6,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7192,c_19284,c_20028]) ).
tcf(c_23582,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(sk_c5,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7197,c_18505,c_18552]) ).
tcf(c_23685,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(sk_c4,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_7202,c_18223,c_18258]) ).
tcf(c_23686,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_11764,c_11812]) ).
tcf(c_23690,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_28)) != sk_c10 )
| ( multiply(sk_c1,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15937,c_749]) ).
tcf(c_23691,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_28)),multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_15937,c_15741]) ).
tcf(c_23692,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_28),multiply(X0,X1)) = multiply(multiply(sk_c1,X0),X1),
inference(superposition,[status(thm)],[c_15937,c_115]) ).
tcf(c_23693,plain,
multiply(sk_c1,iPr_def_28) = identity,
inference(superposition,[status(thm)],[c_15937,c_114]) ).
tcf(c_23694,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_28))) != inverse(X0) )
| ( multiply(sk_c1,inverse(X0)) != inverse(inverse(iPr_def_28)) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15937,c_747]) ).
tcf(c_23695,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_28,X0)) = X0,
inference(superposition,[status(thm)],[c_15937,c_15741]) ).
tcf(c_23696,plain,
multiply(sk_c1,identity) = inverse(iPr_def_28),
inference(superposition,[status(thm)],[c_15937,c_16791]) ).
tcf(c_23697,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_29 )
| ( inverse(inverse(iPr_def_28)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_23690,c_745]) ).
tcf(c_23706,plain,
( ( identity = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_19607,c_23693]) ).
tcf(c_23707,plain,
( ( identity = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_18775,c_23693]) ).
tcf(c_23708,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_6037,c_23693]) ).
tcf(c_23709,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_5926,c_23693]) ).
tcf(c_23710,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_5859,c_23693]) ).
tcf(c_23711,plain,
( ( identity = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_2536,c_23693]) ).
tcf(c_23712,plain,
( ( identity = iPr_def_29 )
| ( sk_c12 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_2361,c_23693]) ).
tcf(c_23713,plain,
( ( identity = iPr_def_29 )
| ( sk_c12 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_2317,c_23693]) ).
tcf(c_23734,plain,
multiply(inverse(sk_c1),identity) = iPr_def_28,
inference(superposition,[status(thm)],[c_23693,c_15741]) ).
tcf(c_23735,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_28,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_23693,c_115]) ).
tcf(c_23736,plain,
multiply(iPr_def_28,identity) = iPr_def_28,
inference(superposition,[status(thm)],[c_23693,c_3905]) ).
tcf(c_23739,plain,
inverse(iPr_def_28) = sk_c1,
inference(demodulation,[status(thm)],[c_23696,c_16791]) ).
tcf(c_23743,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c12 )
| ( multiply(inverse(iPr_def_28),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_23739,c_747]) ).
tcf(c_23744,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c12 != identity )
| ( multiply(sk_c1,sk_c11) != sk_c12 )
| ( inverse(inverse(X0)) != sk_c1 )
| ( multiply(X0,sk_c1) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_23743,c_1357,c_23739]) ).
tcf(c_23751,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_1357,c_23695]) ).
tcf(c_23752,plain,
multiply(sk_c1,sk_c12) = iPr_def_29,
inference(superposition,[status(thm)],[c_6809,c_23695]) ).
tcf(c_23755,plain,
! [X0: $i] : multiply(inverse(sk_c1),X0) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_23695,c_15741]) ).
tcf(c_23756,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_28,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_23695,c_115]) ).
tcf(c_23839,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_23706,c_20492]) ).
tcf(c_23842,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_23706,c_20163]) ).
tcf(c_23844,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_23706,c_18520]) ).
tcf(c_23846,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_23706,c_18518]) ).
tcf(c_23851,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23706,c_16822]) ).
tcf(c_23852,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_23706,c_16791]) ).
tcf(c_23853,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23706,c_113]) ).
tcf(c_24061,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23707,c_20492]) ).
tcf(c_24064,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23707,c_20163]) ).
tcf(c_24066,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23707,c_18520]) ).
tcf(c_24068,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23707,c_18518]) ).
tcf(c_24070,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23707,c_18239]) ).
tcf(c_24072,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23707,c_18237]) ).
tcf(c_24073,plain,
( ( identity = iPr_def_22 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23707,c_16822]) ).
tcf(c_24074,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_23707,c_16791]) ).
tcf(c_24075,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23707,c_113]) ).
tcf(c_24119,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23708,c_20491]) ).
tcf(c_24120,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_23708,c_20354]) ).
tcf(c_24123,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23708,c_18520]) ).
tcf(c_24125,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23708,c_18518]) ).
tcf(c_24127,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23708,c_18239]) ).
tcf(c_24129,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23708,c_18237]) ).
tcf(c_24130,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23708,c_16822]) ).
tcf(c_24131,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_23708,c_16791]) ).
tcf(c_24132,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23708,c_113]) ).
tcf(c_24175,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_23709,c_20492]) ).
tcf(c_24178,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_23709,c_20163]) ).
tcf(c_24180,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_23709,c_18520]) ).
tcf(c_24182,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_23709,c_18518]) ).
tcf(c_24187,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23709,c_16822]) ).
tcf(c_24188,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_23709,c_16791]) ).
tcf(c_24189,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23709,c_113]) ).
tcf(c_24253,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23710,c_20492]) ).
tcf(c_24256,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23710,c_20163]) ).
tcf(c_24258,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23710,c_18520]) ).
tcf(c_24260,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23710,c_18518]) ).
tcf(c_24265,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23710,c_16822]) ).
tcf(c_24266,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_23710,c_16791]) ).
tcf(c_24267,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23710,c_113]) ).
tcf(c_24367,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_23711,c_3885]) ).
tcf(c_24368,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_23711,c_3879]) ).
tcf(c_24369,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_23711,c_3878]) ).
tcf(c_24381,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23711,c_749]) ).
tcf(c_24385,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23711,c_745]) ).
tcf(c_24386,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23711,c_740]) ).
tcf(c_24387,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_23711,c_731]) ).
tcf(c_24390,plain,
( ( identity = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_24386,c_18224]) ).
tcf(c_24397,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_24368,c_18226]) ).
tcf(c_24628,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23712,c_23711]) ).
tcf(c_24636,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_23712,c_3885]) ).
tcf(c_24637,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_23712,c_3879]) ).
tcf(c_24638,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_23712,c_3878]) ).
tcf(c_24641,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23712,c_2564]) ).
tcf(c_24650,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23712,c_749]) ).
tcf(c_24654,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23712,c_745]) ).
tcf(c_24655,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23712,c_740]) ).
tcf(c_24656,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_23712,c_731]) ).
tcf(c_24743,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2653,c_23171]) ).
tcf(c_24744,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2276,c_23171]) ).
tcf(c_24746,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1511,c_23171]) ).
tcf(c_24749,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1356,c_23171]) ).
tcf(c_24750,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2615,c_23171]) ).
tcf(c_24751,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2230,c_23171]) ).
tcf(c_24752,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2228,c_23171]) ).
tcf(c_24753,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2226,c_23171]) ).
tcf(c_24754,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2224,c_23171]) ).
tcf(c_24755,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2222,c_23171]) ).
tcf(c_24756,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2689,c_23171]) ).
tcf(c_24757,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2295,c_23171]) ).
tcf(c_24760,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2225,c_23171]) ).
tcf(c_24765,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_23171]) ).
tcf(c_24767,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6816,c_23171]) ).
tcf(c_24768,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6814,c_23171]) ).
tcf(c_24769,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9901,c_23171]) ).
tcf(c_24770,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_9902,c_23171]) ).
tcf(c_24772,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_23171,c_15741]) ).
tcf(c_24773,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_23171,c_115]) ).
tcf(c_24774,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c9,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_23171,c_7189]) ).
tcf(c_24880,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2276,c_23173]) ).
tcf(c_24885,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1356,c_23173]) ).
tcf(c_24887,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2230,c_23173]) ).
tcf(c_24888,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2228,c_23173]) ).
tcf(c_24889,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2226,c_23173]) ).
tcf(c_24890,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2224,c_23173]) ).
tcf(c_24891,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2222,c_23173]) ).
tcf(c_24893,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2295,c_23173]) ).
tcf(c_24903,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6816,c_23173]) ).
tcf(c_24905,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9901,c_23173]) ).
tcf(c_24906,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_9902,c_23173]) ).
tcf(c_24908,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_23173,c_15741]) ).
tcf(c_24909,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_23173,c_115]) ).
tcf(c_24910,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_23173,c_7189]) ).
tcf(c_25001,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1762,c_23175]) ).
tcf(c_25002,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1511,c_23175]) ).
tcf(c_25003,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1331,c_23175]) ).
tcf(c_25004,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1329,c_23175]) ).
tcf(c_25005,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1356,c_23175]) ).
tcf(c_25007,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2230,c_23175]) ).
tcf(c_25008,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2228,c_23175]) ).
tcf(c_25009,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2226,c_23175]) ).
tcf(c_25010,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2224,c_23175]) ).
tcf(c_25014,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2229,c_23175]) ).
tcf(c_25015,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2227,c_23175]) ).
tcf(c_25016,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2225,c_23175]) ).
tcf(c_25017,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2223,c_23175]) ).
tcf(c_25019,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6824,c_23175]) ).
tcf(c_25020,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6822,c_23175]) ).
tcf(c_25021,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_23175]) ).
tcf(c_25022,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6818,c_23175]) ).
tcf(c_25028,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_23175,c_15741]) ).
tcf(c_25029,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_23175,c_115]) ).
tcf(c_25030,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c9,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_23175,c_7189]) ).
tcf(c_25143,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1511,c_23177]) ).
tcf(c_25146,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1356,c_23177]) ).
tcf(c_25148,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2230,c_23177]) ).
tcf(c_25149,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2228,c_23177]) ).
tcf(c_25150,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2226,c_23177]) ).
tcf(c_25157,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2225,c_23177]) ).
tcf(c_25162,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_23177]) ).
tcf(c_25169,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_23177,c_15741]) ).
tcf(c_25170,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_23177,c_115]) ).
tcf(c_25171,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_23177,c_7189]) ).
tcf(c_25198,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1331,c_23179]) ).
tcf(c_25199,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1329,c_23179]) ).
tcf(c_25200,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1356,c_23179]) ).
tcf(c_25202,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2230,c_23179]) ).
tcf(c_25203,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2228,c_23179]) ).
tcf(c_25209,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2229,c_23179]) ).
tcf(c_25210,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2227,c_23179]) ).
tcf(c_25214,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6824,c_23179]) ).
tcf(c_25215,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6822,c_23179]) ).
tcf(c_25223,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_23179,c_15741]) ).
tcf(c_25224,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_23179,c_115]) ).
tcf(c_25225,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_23179,c_7189]) ).
tcf(c_25307,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1331,c_23181]) ).
tcf(c_25309,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1356,c_23181]) ).
tcf(c_25311,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2230,c_23181]) ).
tcf(c_25318,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2229,c_23181]) ).
tcf(c_25323,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6824,c_23181]) ).
tcf(c_25332,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_23181,c_15741]) ).
tcf(c_25333,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_23181,c_115]) ).
tcf(c_25334,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_23181,c_7189]) ).
tcf(c_25365,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_3246,c_16822]) ).
tcf(c_25375,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_19302,c_25365]) ).
tcf(c_25376,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19301,c_25365]) ).
tcf(c_25377,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19299,c_25365]) ).
tcf(c_25401,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2072,c_25365]) ).
tcf(c_25402,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1893,c_25365]) ).
tcf(c_25403,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1794,c_25365]) ).
tcf(c_25404,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1321,c_25365]) ).
tcf(c_25405,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1275,c_25365]) ).
tcf(c_25406,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1184,c_25365]) ).
tcf(c_25407,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1172,c_25365]) ).
tcf(c_25408,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_810,c_25365]) ).
tcf(c_25409,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_800,c_25365]) ).
tcf(c_25412,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_790,c_25365]) ).
tcf(c_25416,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_780,c_25365]) ).
tcf(c_25419,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_770,c_25365]) ).
tcf(c_25425,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_760,c_25365]) ).
tcf(c_25575,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23713,c_23712]) ).
tcf(c_25576,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23713,c_23711]) ).
tcf(c_25584,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_23713,c_3885]) ).
tcf(c_25585,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_18,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_23713,c_3879]) ).
tcf(c_25586,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_18,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_23713,c_3878]) ).
tcf(c_25589,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_28 )
| ( identity = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23713,c_2564]) ).
tcf(c_25598,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23713,c_749]) ).
tcf(c_25602,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_23713,c_745]) ).
tcf(c_25603,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23713,c_740]) ).
tcf(c_25604,plain,
( ( identity = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_23713,c_731]) ).
tcf(c_25660,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24390,c_20492]) ).
tcf(c_25663,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24390,c_20163]) ).
tcf(c_25665,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24390,c_18520]) ).
tcf(c_25667,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24390,c_18518]) ).
tcf(c_25669,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24390,c_18239]) ).
tcf(c_25671,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24390,c_18237]) ).
tcf(c_25672,plain,
( ( identity = iPr_def_24 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_24390,c_16822]) ).
tcf(c_25673,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_24390,c_16791]) ).
tcf(c_25674,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24390,c_113]) ).
tcf(c_25755,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20816,c_23853]) ).
tcf(c_25756,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20812,c_23853]) ).
tcf(c_25757,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18593,c_23853]) ).
tcf(c_25758,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6721,c_23853]) ).
tcf(c_25759,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6629,c_23853]) ).
tcf(c_25760,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6628,c_23853]) ).
tcf(c_25761,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6307,c_23853]) ).
tcf(c_25762,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6252,c_23853]) ).
tcf(c_25763,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6104,c_23853]) ).
tcf(c_25764,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23853,c_749]) ).
tcf(c_25765,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23853,c_15741]) ).
tcf(c_25766,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_23853,c_115]) ).
tcf(c_25767,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_23853,c_747]) ).
tcf(c_25768,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_23853,c_6812]) ).
tcf(c_25869,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20816,c_24075]) ).
tcf(c_25870,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20812,c_24075]) ).
tcf(c_25871,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18593,c_24075]) ).
tcf(c_25872,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6721,c_24075]) ).
tcf(c_25873,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6629,c_24075]) ).
tcf(c_25874,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6628,c_24075]) ).
tcf(c_25875,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6307,c_24075]) ).
tcf(c_25876,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6252,c_24075]) ).
tcf(c_25877,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6104,c_24075]) ).
tcf(c_25878,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24075,c_749]) ).
tcf(c_25879,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24075,c_15741]) ).
tcf(c_25880,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_24075,c_115]) ).
tcf(c_25881,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_24075,c_747]) ).
tcf(c_25882,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_24075,c_6812]) ).
tcf(c_26082,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24628,c_20492]) ).
tcf(c_26085,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24628,c_20163]) ).
tcf(c_26087,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24628,c_18520]) ).
tcf(c_26089,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24628,c_18518]) ).
tcf(c_26091,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24628,c_18239]) ).
tcf(c_26093,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24628,c_18237]) ).
tcf(c_26094,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_24628,c_16822]) ).
tcf(c_26095,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_24628,c_16791]) ).
tcf(c_26096,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24628,c_113]) ).
tcf(c_26139,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25575,c_20492]) ).
tcf(c_26142,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25575,c_20163]) ).
tcf(c_26144,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25575,c_18520]) ).
tcf(c_26146,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25575,c_18518]) ).
tcf(c_26148,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25575,c_18239]) ).
tcf(c_26150,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_25575,c_18237]) ).
tcf(c_26151,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_25575,c_16822]) ).
tcf(c_26152,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_25575,c_16791]) ).
tcf(c_26153,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_25575,c_113]) ).
tcf(c_26203,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25576,c_20492]) ).
tcf(c_26206,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25576,c_20163]) ).
tcf(c_26208,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25576,c_18520]) ).
tcf(c_26210,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25576,c_18518]) ).
tcf(c_26212,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25576,c_18239]) ).
tcf(c_26214,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25576,c_18237]) ).
tcf(c_26215,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_29) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_25576,c_16822]) ).
tcf(c_26216,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(X0,iPr_def_29) = X0 ) ),
inference(superposition,[status(thm)],[c_25576,c_16791]) ).
tcf(c_26217,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_29,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_25576,c_113]) ).
tcf(c_26324,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_26)) != sk_c10 )
| ( multiply(sk_c2,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15938,c_749]) ).
tcf(c_26325,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_26)),multiply(sk_c2,X0)) = X0,
inference(superposition,[status(thm)],[c_15938,c_15741]) ).
tcf(c_26326,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_26),multiply(X0,X1)) = multiply(multiply(sk_c2,X0),X1),
inference(superposition,[status(thm)],[c_15938,c_115]) ).
tcf(c_26327,plain,
multiply(sk_c2,iPr_def_26) = identity,
inference(superposition,[status(thm)],[c_15938,c_114]) ).
tcf(c_26328,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_26))) != inverse(X0) )
| ( multiply(sk_c2,inverse(X0)) != inverse(inverse(iPr_def_26)) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15938,c_747]) ).
tcf(c_26329,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_26,X0)) = X0,
inference(superposition,[status(thm)],[c_15938,c_15741]) ).
tcf(c_26330,plain,
multiply(sk_c2,identity) = inverse(iPr_def_26),
inference(superposition,[status(thm)],[c_15938,c_16791]) ).
tcf(c_26339,plain,
( ( identity = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_20204,c_26327]) ).
tcf(c_26340,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_4481,c_26327]) ).
tcf(c_26341,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_4419,c_26327]) ).
tcf(c_26342,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1716,c_26327]) ).
tcf(c_26343,plain,
( ( identity = iPr_def_27 )
| ( sk_c12 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1703,c_26327]) ).
tcf(c_26344,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1594,c_26327]) ).
tcf(c_26345,plain,
( ( identity = iPr_def_27 )
| ( sk_c12 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1581,c_26327]) ).
tcf(c_26346,plain,
( ( identity = iPr_def_27 )
| ( sk_c12 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_1540,c_26327]) ).
tcf(c_26379,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_18)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23713,c_3247]) ).
tcf(c_26380,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23712,c_3247]) ).
tcf(c_26381,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23711,c_3247]) ).
tcf(c_26382,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19298,c_3247]) ).
tcf(c_26383,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18522,c_3247]) ).
tcf(c_26387,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3131,c_3247]) ).
tcf(c_26388,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2819,c_3247]) ).
tcf(c_26389,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_18)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2719,c_3247]) ).
tcf(c_26390,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2564,c_3247]) ).
tcf(c_26391,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2335,c_3247]) ).
tcf(c_26392,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_28)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2296,c_3247]) ).
tcf(c_26393,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2130,c_3247]) ).
tcf(c_26394,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2124,c_3247]) ).
tcf(c_26395,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1941,c_3247]) ).
tcf(c_26396,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1935,c_3247]) ).
tcf(c_26397,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_18)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1832,c_3247]) ).
tcf(c_26398,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_18)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1826,c_3247]) ).
tcf(c_26399,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1459,c_3247]) ).
tcf(c_26400,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1374,c_3247]) ).
tcf(c_26401,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_18)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1297,c_3247]) ).
tcf(c_26413,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_23 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26399,c_739,c_18258]) ).
tcf(c_26434,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_23 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26394,c_739,c_18258]) ).
tcf(c_26439,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_23 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26393,c_739,c_18258]) ).
tcf(c_26444,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26392,c_744,c_23739]) ).
tcf(c_26449,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26391,c_744,c_23739]) ).
tcf(c_26454,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26390,c_744,c_23739]) ).
tcf(c_26467,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_23 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26387,c_739,c_18258]) ).
tcf(c_26472,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26383,c_744,c_23739]) ).
tcf(c_26477,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26382,c_744,c_23739]) ).
tcf(c_26482,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_23 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_26381,c_739,c_18258]) ).
tcf(c_26514,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7285,c_15741]) ).
tcf(c_26515,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7285,c_115]) ).
tcf(c_26516,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7285,c_19287]) ).
tcf(c_26518,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_26516,c_11706]) ).
tcf(c_26653,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_7286,c_771,c_5737,c_5738,c_19334,c_19335]) ).
tcf(c_26755,plain,
multiply(inverse(sk_c2),identity) = iPr_def_26,
inference(superposition,[status(thm)],[c_26327,c_15741]) ).
tcf(c_26756,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_26,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_26327,c_115]) ).
tcf(c_26757,plain,
multiply(iPr_def_26,identity) = iPr_def_26,
inference(superposition,[status(thm)],[c_26327,c_3904]) ).
tcf(c_26785,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_25576]) ).
tcf(c_26786,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_25575]) ).
tcf(c_26787,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_24628]) ).
tcf(c_26788,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_24390]) ).
tcf(c_26789,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_23710]) ).
tcf(c_26790,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_23709]) ).
tcf(c_26791,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_23708]) ).
tcf(c_26792,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_23707]) ).
tcf(c_26793,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_23706]) ).
tcf(c_26794,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_20492]) ).
tcf(c_26797,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_20163]) ).
tcf(c_26801,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_18518]) ).
tcf(c_26803,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_18239]) ).
tcf(c_26805,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26339,c_18237]) ).
tcf(c_26806,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26339,c_16822]) ).
tcf(c_26807,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_26339,c_16791]) ).
tcf(c_26808,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26339,c_113]) ).
tcf(c_26883,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_25576]) ).
tcf(c_26884,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_25575]) ).
tcf(c_26885,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_24628]) ).
tcf(c_26888,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_23709]) ).
tcf(c_26889,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_23708]) ).
tcf(c_26892,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_20492]) ).
tcf(c_26895,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_20163]) ).
tcf(c_26899,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_18518]) ).
tcf(c_26901,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_18239]) ).
tcf(c_26903,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26340,c_18237]) ).
tcf(c_26904,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26340,c_16822]) ).
tcf(c_26905,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_26340,c_16791]) ).
tcf(c_26906,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26340,c_113]) ).
tcf(c_27016,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_25576]) ).
tcf(c_27017,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_25575]) ).
tcf(c_27018,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_24628]) ).
tcf(c_27020,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_23710]) ).
tcf(c_27022,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_23708]) ).
tcf(c_27025,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_20492]) ).
tcf(c_27028,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_20163]) ).
tcf(c_27032,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_18518]) ).
tcf(c_27034,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_18239]) ).
tcf(c_27036,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26341,c_18237]) ).
tcf(c_27037,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26341,c_16822]) ).
tcf(c_27038,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_26341,c_16791]) ).
tcf(c_27039,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26341,c_113]) ).
tcf(c_27193,plain,
inverse(iPr_def_26) = sk_c2,
inference(demodulation,[status(thm)],[c_26330,c_16791]) ).
tcf(c_27197,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c12 )
| ( multiply(inverse(iPr_def_26),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_27193,c_747]) ).
tcf(c_27198,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c12 != iPr_def_27 )
| ( sk_c12 != identity )
| ( inverse(inverse(X0)) != sk_c2 )
| ( multiply(X0,sk_c2) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_27197,c_743,c_1358,c_27193]) ).
tcf(c_27205,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_1358,c_26329]) ).
tcf(c_27206,plain,
multiply(sk_c2,sk_c11) = iPr_def_27,
inference(superposition,[status(thm)],[c_6804,c_26329]) ).
tcf(c_27209,plain,
! [X0: $i] : multiply(inverse(sk_c2),X0) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_26329,c_15741]) ).
tcf(c_27210,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(iPr_def_26,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_26329,c_115]) ).
tcf(c_27300,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_26342,c_3884]) ).
tcf(c_27304,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c9,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26342,c_3882]) ).
tcf(c_27305,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_24,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_26342,c_3880]) ).
tcf(c_27308,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_2782]) ).
tcf(c_27309,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_2653]) ).
tcf(c_27312,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_1896]) ).
tcf(c_27313,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_1762]) ).
tcf(c_27314,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_1558]) ).
tcf(c_27315,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_1511]) ).
tcf(c_27316,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_1331]) ).
tcf(c_27317,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_1330]) ).
tcf(c_27318,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_1329]) ).
tcf(c_27319,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_1328]) ).
tcf(c_27333,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_27 )
| ( sk_c12 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26342,c_799]) ).
tcf(c_27339,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26342,c_743]) ).
tcf(c_27340,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26342,c_738]) ).
tcf(c_27341,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c9,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26342,c_734]) ).
tcf(c_27392,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_7287,c_819,c_769,c_6072,c_19334,c_19335]) ).
tcf(c_27507,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7288,c_15741]) ).
tcf(c_27508,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7288,c_115]) ).
tcf(c_27509,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7288,c_19287]) ).
tcf(c_27511,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_27509,c_11706]) ).
tcf(c_27538,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7289,c_15741]) ).
tcf(c_27539,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7289,c_115]) ).
tcf(c_27540,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7289,c_19287]) ).
tcf(c_27542,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_27540,c_11706]) ).
tcf(c_27560,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7292,c_15741]) ).
tcf(c_27561,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7292,c_115]) ).
tcf(c_27562,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7292,c_19287]) ).
tcf(c_27564,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_27562,c_11706]) ).
tcf(c_27771,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26343,c_3247]) ).
tcf(c_27776,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26343,c_18522]) ).
tcf(c_27781,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_26343,c_3885]) ).
tcf(c_27782,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_26343,c_3879]) ).
tcf(c_27783,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_26343,c_3878]) ).
tcf(c_27786,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26343,c_2564]) ).
tcf(c_27795,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26343,c_749]) ).
tcf(c_27799,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26343,c_745]) ).
tcf(c_27800,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26343,c_740]) ).
tcf(c_27801,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26343,c_731]) ).
tcf(c_27804,plain,
( ( identity = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_27800,c_18224]) ).
tcf(c_27817,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_27782,c_18226]) ).
tcf(c_27822,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_23 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_27771,c_739,c_18258]) ).
tcf(c_28040,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26344,c_26342]) ).
tcf(c_28051,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_26344,c_3884]) ).
tcf(c_28055,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c9,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26344,c_3882]) ).
tcf(c_28056,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_26344,c_3880]) ).
tcf(c_28059,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_2782]) ).
tcf(c_28060,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_2653]) ).
tcf(c_28063,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_1896]) ).
tcf(c_28064,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_1762]) ).
tcf(c_28065,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_1558]) ).
tcf(c_28066,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_1511]) ).
tcf(c_28067,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_1331]) ).
tcf(c_28068,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_1330]) ).
tcf(c_28069,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_1329]) ).
tcf(c_28070,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_1328]) ).
tcf(c_28090,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26344,c_743]) ).
tcf(c_28091,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26344,c_738]) ).
tcf(c_28092,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c9,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26344,c_734]) ).
tcf(c_28097,plain,
( ( identity = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_28091,c_18506]) ).
tcf(c_28132,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_28056,c_18508]) ).
tcf(c_28221,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26345,c_26343]) ).
tcf(c_28222,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26345,c_3247]) ).
tcf(c_28232,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_26345,c_3885]) ).
tcf(c_28233,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_26345,c_3879]) ).
tcf(c_28234,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_26345,c_3878]) ).
tcf(c_28237,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26345,c_2564]) ).
tcf(c_28246,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26345,c_749]) ).
tcf(c_28250,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26345,c_745]) ).
tcf(c_28251,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26345,c_740]) ).
tcf(c_28252,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26345,c_731]) ).
tcf(c_28337,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26346,c_26345]) ).
tcf(c_28338,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26346,c_26343]) ).
tcf(c_28339,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_18)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26346,c_3247]) ).
tcf(c_28349,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_26346,c_3885]) ).
tcf(c_28350,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_18,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_26346,c_3879]) ).
tcf(c_28351,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_18,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_26346,c_3878]) ).
tcf(c_28354,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_28 )
| ( identity = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26346,c_2564]) ).
tcf(c_28363,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26346,c_749]) ).
tcf(c_28367,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26346,c_745]) ).
tcf(c_28368,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26346,c_740]) ).
tcf(c_28369,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26346,c_731]) ).
tcf(c_28489,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26793,c_26341]) ).
tcf(c_28490,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26793,c_26340]) ).
tcf(c_28491,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26793,c_26339]) ).
tcf(c_28492,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26793,c_25576]) ).
tcf(c_28493,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26793,c_25575]) ).
tcf(c_28494,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26793,c_24628]) ).
tcf(c_28495,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26793,c_24390]) ).
tcf(c_28496,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26793,c_23710]) ).
tcf(c_28497,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26793,c_23709]) ).
tcf(c_28498,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_26793,c_23708]) ).
tcf(c_28499,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26793,c_23707]) ).
tcf(c_28500,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26793,c_23706]) ).
tcf(c_28509,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26793,c_16822]) ).
tcf(c_28510,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_26793,c_16791]) ).
tcf(c_28511,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26793,c_113]) ).
tcf(c_28602,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26888,c_24075]) ).
tcf(c_28604,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26888,c_19441]) ).
tcf(c_28605,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26888,c_19440]) ).
tcf(c_28606,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26888,c_19439]) ).
tcf(c_28607,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26888,c_20816]) ).
tcf(c_28608,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26888,c_20812]) ).
tcf(c_28609,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26888,c_18593]) ).
tcf(c_28610,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_26888,c_6812]) ).
tcf(c_28611,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26888,c_6266]) ).
tcf(c_28612,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26888,c_6265]) ).
tcf(c_28613,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26888,c_6264]) ).
tcf(c_28614,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26888,c_6117]) ).
tcf(c_28615,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26888,c_6116]) ).
tcf(c_28616,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26888,c_6115]) ).
tcf(c_28617,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26888,c_3184]) ).
tcf(c_28618,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26888,c_3183]) ).
tcf(c_28619,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26888,c_3182]) ).
tcf(c_28620,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26888,c_3137]) ).
tcf(c_28621,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26888,c_3136]) ).
tcf(c_28622,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26888,c_3135]) ).
tcf(c_28623,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26888,c_2920]) ).
tcf(c_28624,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26888,c_2919]) ).
tcf(c_28625,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26888,c_2918]) ).
tcf(c_28626,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26888,c_2823]) ).
tcf(c_28627,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26888,c_2822]) ).
tcf(c_28628,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26888,c_2821]) ).
tcf(c_28629,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26888,c_2722]) ).
tcf(c_28630,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26888,c_2721]) ).
tcf(c_28631,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26888,c_2720]) ).
tcf(c_28632,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26888,c_6721]) ).
tcf(c_28633,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26888,c_6629]) ).
tcf(c_28634,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26888,c_6628]) ).
tcf(c_28635,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26888,c_6307]) ).
tcf(c_28636,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26888,c_6252]) ).
tcf(c_28638,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_26888,c_6809]) ).
tcf(c_28941,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27020,c_24075]) ).
tcf(c_28943,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27020,c_19441]) ).
tcf(c_28944,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27020,c_19440]) ).
tcf(c_28945,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_27020,c_19439]) ).
tcf(c_28946,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27020,c_20816]) ).
tcf(c_28947,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27020,c_20812]) ).
tcf(c_28948,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27020,c_18593]) ).
tcf(c_28949,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_27020,c_6812]) ).
tcf(c_28953,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27020,c_6117]) ).
tcf(c_28954,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27020,c_6116]) ).
tcf(c_28955,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_27020,c_6115]) ).
tcf(c_28956,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27020,c_3184]) ).
tcf(c_28957,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27020,c_3183]) ).
tcf(c_28958,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_27020,c_3182]) ).
tcf(c_28959,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27020,c_3137]) ).
tcf(c_28960,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27020,c_3136]) ).
tcf(c_28961,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_27020,c_3135]) ).
tcf(c_28962,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27020,c_2920]) ).
tcf(c_28963,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27020,c_2919]) ).
tcf(c_28964,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_27020,c_2918]) ).
tcf(c_28965,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27020,c_2823]) ).
tcf(c_28966,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27020,c_2822]) ).
tcf(c_28967,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_27020,c_2821]) ).
tcf(c_28968,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27020,c_2722]) ).
tcf(c_28969,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27020,c_2721]) ).
tcf(c_28970,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_27020,c_2720]) ).
tcf(c_28971,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27020,c_6721]) ).
tcf(c_28972,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27020,c_6629]) ).
tcf(c_28973,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27020,c_6628]) ).
tcf(c_28974,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27020,c_6307]) ).
tcf(c_28976,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27020,c_6104]) ).
tcf(c_28977,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_27020,c_6809]) ).
tcf(c_29336,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_26793]) ).
tcf(c_29337,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_25576]) ).
tcf(c_29338,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_25575]) ).
tcf(c_29339,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_24628]) ).
tcf(c_29340,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_24390]) ).
tcf(c_29343,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_23708]) ).
tcf(c_29346,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_20492]) ).
tcf(c_29349,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_20163]) ).
tcf(c_29351,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_18520]) ).
tcf(c_29353,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_18518]) ).
tcf(c_29355,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_18239]) ).
tcf(c_29357,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27804,c_18237]) ).
tcf(c_29358,plain,
( ( identity = iPr_def_24 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_27804,c_16822]) ).
tcf(c_29359,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_27804,c_16791]) ).
tcf(c_29360,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27804,c_113]) ).
tcf(c_29463,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7295,c_15741]) ).
tcf(c_29464,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7295,c_115]) ).
tcf(c_29465,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7295,c_19287]) ).
tcf(c_29467,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_29465,c_11706]) ).
tcf(c_29482,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7296,c_15741]) ).
tcf(c_29483,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7296,c_115]) ).
tcf(c_29484,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7296,c_19287]) ).
tcf(c_29486,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_29484,c_11706]) ).
tcf(c_29517,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7466,c_15741]) ).
tcf(c_29518,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7466,c_115]) ).
tcf(c_29519,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7466,c_23181]) ).
tcf(c_29520,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7466,c_23179]) ).
tcf(c_29525,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7466,c_22996]) ).
tcf(c_29583,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7469,c_15741]) ).
tcf(c_29584,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7469,c_115]) ).
tcf(c_29585,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7469,c_23181]) ).
tcf(c_29586,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7469,c_23179]) ).
tcf(c_29591,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7469,c_22996]) ).
tcf(c_29625,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7470,c_15741]) ).
tcf(c_29626,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7470,c_115]) ).
tcf(c_29627,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7470,c_23181]) ).
tcf(c_29628,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7470,c_23179]) ).
tcf(c_29633,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7470,c_22996]) ).
tcf(c_29655,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21724,c_7249]) ).
tcf(c_29656,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21723,c_7249]) ).
tcf(c_29658,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21721,c_7249]) ).
tcf(c_29659,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21720,c_7249]) ).
tcf(c_29666,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,sk_c7) ) ),
inference(superposition,[status(thm)],[c_1356,c_7249]) ).
tcf(c_29667,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2615,c_7249]) ).
tcf(c_29669,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2228,c_7249]) ).
tcf(c_29670,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2226,c_7249]) ).
tcf(c_29672,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2222,c_7249]) ).
tcf(c_29673,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2689,c_7249]) ).
tcf(c_29674,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2295,c_7249]) ).
tcf(c_29676,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2227,c_7249]) ).
tcf(c_29677,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2225,c_7249]) ).
tcf(c_29679,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_3906,c_7249]) ).
tcf(c_29681,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6822,c_7249]) ).
tcf(c_29682,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_7249]) ).
tcf(c_29684,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6816,c_7249]) ).
tcf(c_29685,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6814,c_7249]) ).
tcf(c_29687,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6823,c_7249]) ).
tcf(c_29688,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6821,c_7249]) ).
tcf(c_29690,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6817,c_7249]) ).
tcf(c_29691,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6815,c_7249]) ).
tcf(c_29697,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_14,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_7249]) ).
tcf(c_29698,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7249,c_15741]) ).
tcf(c_29699,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7249,c_115]) ).
tcf(c_29700,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7249,c_3907]) ).
tcf(c_29709,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_29700,c_7189]) ).
tcf(c_29952,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_26793]) ).
tcf(c_29953,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_25576]) ).
tcf(c_29954,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_25575]) ).
tcf(c_29955,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_24628]) ).
tcf(c_29959,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_23708]) ).
tcf(c_29960,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_23707]) ).
tcf(c_29962,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_20492]) ).
tcf(c_29965,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_20163]) ).
tcf(c_29967,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_18520]) ).
tcf(c_29969,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_18518]) ).
tcf(c_29971,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_18239]) ).
tcf(c_29973,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28097,c_18237]) ).
tcf(c_29974,plain,
( ( identity = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28097,c_16822]) ).
tcf(c_29975,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28097,c_16791]) ).
tcf(c_29976,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28097,c_113]) ).
tcf(c_30082,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20816,c_24132]) ).
tcf(c_30083,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20812,c_24132]) ).
tcf(c_30085,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6721,c_24132]) ).
tcf(c_30086,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6629,c_24132]) ).
tcf(c_30087,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6628,c_24132]) ).
tcf(c_30088,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6307,c_24132]) ).
tcf(c_30089,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6252,c_24132]) ).
tcf(c_30090,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6104,c_24132]) ).
tcf(c_30091,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24132,c_749]) ).
tcf(c_30092,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24132,c_15741]) ).
tcf(c_30093,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_24132,c_115]) ).
tcf(c_30094,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_24132,c_747]) ).
tcf(c_30095,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_24132,c_6812]) ).
tcf(c_30267,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6252,c_24189]) ).
tcf(c_30268,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6104,c_24189]) ).
tcf(c_30269,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24189,c_749]) ).
tcf(c_30270,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24189,c_15741]) ).
tcf(c_30271,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_24189,c_115]) ).
tcf(c_30272,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_24189,c_747]) ).
tcf(c_30273,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_24189,c_6812]) ).
tcf(c_30366,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6104,c_24267]) ).
tcf(c_30367,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24267,c_749]) ).
tcf(c_30368,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24267,c_15741]) ).
tcf(c_30369,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_24267,c_115]) ).
tcf(c_30370,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_24267,c_747]) ).
tcf(c_30371,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_24267,c_6812]) ).
tcf(c_30434,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28040,c_23708]) ).
tcf(c_30438,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28040,c_20491]) ).
tcf(c_30439,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28040,c_20354]) ).
tcf(c_30442,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28040,c_18520]) ).
tcf(c_30444,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28040,c_18518]) ).
tcf(c_30446,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28040,c_18239]) ).
tcf(c_30448,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28040,c_18237]) ).
tcf(c_30449,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28040,c_16822]) ).
tcf(c_30450,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28040,c_16791]) ).
tcf(c_30451,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28040,c_113]) ).
tcf(c_30580,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28221,c_26793]) ).
tcf(c_30583,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28221,c_24628]) ).
tcf(c_30590,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28221,c_20492]) ).
tcf(c_30593,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28221,c_20163]) ).
tcf(c_30595,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28221,c_18520]) ).
tcf(c_30597,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28221,c_18518]) ).
tcf(c_30599,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28221,c_18239]) ).
tcf(c_30601,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28221,c_18237]) ).
tcf(c_30602,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28221,c_16822]) ).
tcf(c_30603,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28221,c_16791]) ).
tcf(c_30604,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28221,c_113]) ).
tcf(c_30721,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28337,c_26793]) ).
tcf(c_30722,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28337,c_25576]) ).
tcf(c_30723,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28337,c_25575]) ).
tcf(c_30731,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28337,c_20492]) ).
tcf(c_30734,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28337,c_20163]) ).
tcf(c_30736,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28337,c_18520]) ).
tcf(c_30738,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28337,c_18518]) ).
tcf(c_30740,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28337,c_18239]) ).
tcf(c_30742,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28337,c_18237]) ).
tcf(c_30743,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28337,c_16822]) ).
tcf(c_30744,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28337,c_16791]) ).
tcf(c_30745,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28337,c_113]) ).
tcf(c_30844,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28338,c_26793]) ).
tcf(c_30845,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28338,c_25576]) ).
tcf(c_30854,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28338,c_20492]) ).
tcf(c_30857,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28338,c_20163]) ).
tcf(c_30859,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28338,c_18520]) ).
tcf(c_30861,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28338,c_18518]) ).
tcf(c_30863,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28338,c_18239]) ).
tcf(c_30865,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28338,c_18237]) ).
tcf(c_30866,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_28338,c_16822]) ).
tcf(c_30867,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(X0,iPr_def_27) = X0 ) ),
inference(superposition,[status(thm)],[c_28338,c_16791]) ).
tcf(c_30868,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28338,c_113]) ).
tcf(c_30906,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7473,c_15741]) ).
tcf(c_30907,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7473,c_115]) ).
tcf(c_30909,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7473,c_23181]) ).
tcf(c_30910,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7473,c_23179]) ).
tcf(c_30915,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7473,c_22996]) ).
tcf(c_30992,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7476,c_15741]) ).
tcf(c_30993,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7476,c_115]) ).
tcf(c_30995,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7476,c_23181]) ).
tcf(c_30996,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7476,c_23179]) ).
tcf(c_31001,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7476,c_22996]) ).
tcf(c_31024,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7477,c_15741]) ).
tcf(c_31025,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7477,c_115]) ).
tcf(c_31027,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7477,c_23181]) ).
tcf(c_31028,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7477,c_23179]) ).
tcf(c_31033,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7477,c_22996]) ).
tcf(c_31067,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7619,c_15741]) ).
tcf(c_31068,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7619,c_115]) ).
tcf(c_31069,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7619,c_19287]) ).
tcf(c_31071,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_31069,c_11706]) ).
tcf(c_31085,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21724,c_7261]) ).
tcf(c_31086,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21723,c_7261]) ).
tcf(c_31088,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21721,c_7261]) ).
tcf(c_31089,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21720,c_7261]) ).
tcf(c_31096,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,sk_c6) ) ),
inference(superposition,[status(thm)],[c_1354,c_7261]) ).
tcf(c_31097,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(sk_c6,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_3908,c_7261]) ).
tcf(c_31098,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,sk_c9) = multiply(iPr_def_14,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7191,c_7261]) ).
tcf(c_31099,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,multiply(sk_c9,X0)) = multiply(iPr_def_14,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_7194,c_7261]) ).
tcf(c_31109,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_19) = multiply(iPr_def_14,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_7261]) ).
tcf(c_31110,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_7261,c_15741]) ).
tcf(c_31111,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,multiply(multiply(iPr_def_19,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7261,c_115]) ).
tcf(c_31112,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_7261,c_3907]) ).
tcf(c_31115,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_20) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_31098,c_21749]) ).
tcf(c_31120,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_31112,c_7189]) ).
tcf(c_31128,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_20,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_31099,c_3883]) ).
tcf(c_31208,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24385,c_15741]) ).
tcf(c_31210,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24385,c_3905]) ).
tcf(c_31224,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24387,c_15741]) ).
tcf(c_31226,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24387,c_3903]) ).
tcf(c_31240,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24654,c_15741]) ).
tcf(c_31242,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24654,c_3905]) ).
tcf(c_31256,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24655,c_15741]) ).
tcf(c_31258,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24655,c_3910]) ).
tcf(c_31284,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28636,c_20925]) ).
tcf(c_31285,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28636,c_20921]) ).
tcf(c_31288,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28636,c_18644]) ).
tcf(c_31290,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_28636,c_6807]) ).
tcf(c_31292,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28636,c_5665]) ).
tcf(c_31295,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28636,c_5511]) ).
tcf(c_31296,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28636,c_5509]) ).
tcf(c_31298,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28636,c_4802]) ).
tcf(c_31299,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28636,c_4769]) ).
tcf(c_31300,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_28636,c_4767]) ).
tcf(c_31303,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_28636,c_6804]) ).
tcf(c_31567,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28976,c_20925]) ).
tcf(c_31568,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28976,c_20921]) ).
tcf(c_31571,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28976,c_18644]) ).
tcf(c_31573,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_28976,c_6807]) ).
tcf(c_31575,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28976,c_5665]) ).
tcf(c_31578,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28976,c_5511]) ).
tcf(c_31579,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28976,c_5509]) ).
tcf(c_31581,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28976,c_4802]) ).
tcf(c_31584,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28976,c_4582]) ).
tcf(c_31585,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28976,c_4580]) ).
tcf(c_31586,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_28976,c_6804]) ).
tcf(c_31740,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29340,c_28338]) ).
tcf(c_31741,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_29340,c_28337]) ).
tcf(c_31742,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29340,c_28221]) ).
tcf(c_31743,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29340,c_28040]) ).
tcf(c_31744,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_29340,c_28097]) ).
tcf(c_31745,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29340,c_27804]) ).
tcf(c_31746,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29340,c_26793]) ).
tcf(c_31747,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29340,c_26341]) ).
tcf(c_31748,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29340,c_26340]) ).
tcf(c_31749,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_29340,c_26339]) ).
tcf(c_31750,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29340,c_25576]) ).
tcf(c_31751,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_29340,c_25575]) ).
tcf(c_31752,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29340,c_24628]) ).
tcf(c_31753,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29340,c_24390]) ).
tcf(c_31754,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29340,c_23710]) ).
tcf(c_31755,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29340,c_23709]) ).
tcf(c_31756,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29340,c_23708]) ).
tcf(c_31757,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_29340,c_23707]) ).
tcf(c_31758,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_29340,c_23706]) ).
tcf(c_31767,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29340,c_16822]) ).
tcf(c_31768,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_29340,c_16791]) ).
tcf(c_31769,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29340,c_113]) ).
tcf(c_31995,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29960,c_29340]) ).
tcf(c_31996,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29960,c_28338]) ).
tcf(c_31997,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_29960,c_28337]) ).
tcf(c_31998,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29960,c_28221]) ).
tcf(c_31999,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29960,c_28040]) ).
tcf(c_32000,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_29960,c_28097]) ).
tcf(c_32001,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29960,c_27804]) ).
tcf(c_32002,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_29960,c_26793]) ).
tcf(c_32003,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29960,c_26341]) ).
tcf(c_32004,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29960,c_26340]) ).
tcf(c_32005,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_27 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_29960,c_26339]) ).
tcf(c_32006,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29960,c_25576]) ).
tcf(c_32007,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_29960,c_25575]) ).
tcf(c_32008,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29960,c_24628]) ).
tcf(c_32009,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29960,c_24390]) ).
tcf(c_32010,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29960,c_23710]) ).
tcf(c_32011,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29960,c_23709]) ).
tcf(c_32012,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29960,c_23708]) ).
tcf(c_32013,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_29960,c_23707]) ).
tcf(c_32014,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_29960,c_23706]) ).
tcf(c_32023,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_29960,c_16822]) ).
tcf(c_32024,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_29960,c_16791]) ).
tcf(c_32025,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29960,c_113]) ).
tcf(c_32356,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7620,c_15741]) ).
tcf(c_32357,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7620,c_115]) ).
tcf(c_32359,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7620,c_19287]) ).
tcf(c_32361,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_32359,c_11706]) ).
tcf(c_32387,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7621,c_15741]) ).
tcf(c_32388,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7621,c_115]) ).
tcf(c_32390,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7621,c_19287]) ).
tcf(c_32392,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_32390,c_11706]) ).
tcf(c_32451,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7622,c_15741]) ).
tcf(c_32452,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7622,c_115]) ).
tcf(c_32454,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7622,c_19287]) ).
tcf(c_32456,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_32454,c_11706]) ).
tcf(c_32536,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7623,c_15741]) ).
tcf(c_32537,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7623,c_115]) ).
tcf(c_32539,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7623,c_19287]) ).
tcf(c_32541,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_32539,c_11706]) ).
tcf(c_32610,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7626,c_15741]) ).
tcf(c_32611,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7626,c_115]) ).
tcf(c_32613,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7626,c_19287]) ).
tcf(c_32615,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_32613,c_11706]) ).
tcf(c_32660,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7627,c_15741]) ).
tcf(c_32661,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7627,c_115]) ).
tcf(c_32663,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7627,c_19287]) ).
tcf(c_32665,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_32663,c_11706]) ).
tcf(c_32744,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7273,c_15741]) ).
tcf(c_32745,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7273,c_115]) ).
tcf(c_32746,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7273,c_7261]) ).
tcf(c_32747,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7273,c_19287]) ).
tcf(c_32748,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7273,c_3889]) ).
tcf(c_32749,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_32747,c_11706]) ).
tcf(c_32754,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_32746,c_12297]) ).
tcf(c_32761,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_32748,c_12297]) ).
tcf(c_32771,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24656,c_15741]) ).
tcf(c_32773,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24656,c_3903]) ).
tcf(c_32783,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25602,c_15741]) ).
tcf(c_32785,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25602,c_3905]) ).
tcf(c_32795,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25603,c_15741]) ).
tcf(c_32797,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25603,c_3910]) ).
tcf(c_32807,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25604,c_15741]) ).
tcf(c_32809,plain,
( ( identity = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25604,c_3903]) ).
tcf(c_32828,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7623]) ).
tcf(c_32829,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7622]) ).
tcf(c_32830,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7621]) ).
tcf(c_32831,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7620]) ).
tcf(c_32832,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7619]) ).
tcf(c_32836,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7470]) ).
tcf(c_32837,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7469]) ).
tcf(c_32838,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7466]) ).
tcf(c_32839,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7289]) ).
tcf(c_32840,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7288]) ).
tcf(c_32841,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7285]) ).
tcf(c_32844,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_19441]) ).
tcf(c_32845,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30434,c_19440]) ).
tcf(c_32846,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30434,c_19439]) ).
tcf(c_32849,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30434,c_18593]) ).
tcf(c_32850,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_30434,c_6812]) ).
tcf(c_32857,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_3184]) ).
tcf(c_32858,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30434,c_3183]) ).
tcf(c_32859,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30434,c_3182]) ).
tcf(c_32860,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_3137]) ).
tcf(c_32861,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30434,c_3136]) ).
tcf(c_32862,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30434,c_3135]) ).
tcf(c_32863,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_2920]) ).
tcf(c_32864,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30434,c_2919]) ).
tcf(c_32865,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30434,c_2918]) ).
tcf(c_32866,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_2823]) ).
tcf(c_32867,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30434,c_2822]) ).
tcf(c_32868,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30434,c_2821]) ).
tcf(c_32869,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_2722]) ).
tcf(c_32870,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30434,c_2721]) ).
tcf(c_32871,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30434,c_2720]) ).
tcf(c_32872,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30434,c_6721]) ).
tcf(c_32878,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_30434,c_6809]) ).
tcf(c_33088,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7623]) ).
tcf(c_33089,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7622]) ).
tcf(c_33090,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7621]) ).
tcf(c_33091,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7620]) ).
tcf(c_33092,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7619]) ).
tcf(c_33096,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7470]) ).
tcf(c_33097,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7469]) ).
tcf(c_33098,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7466]) ).
tcf(c_33099,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7289]) ).
tcf(c_33100,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7288]) ).
tcf(c_33101,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7285]) ).
tcf(c_33104,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_19441]) ).
tcf(c_33105,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30583,c_19440]) ).
tcf(c_33106,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30583,c_19439]) ).
tcf(c_33107,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30583,c_20816]) ).
tcf(c_33109,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30583,c_18593]) ).
tcf(c_33110,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_30583,c_6812]) ).
tcf(c_33117,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_3184]) ).
tcf(c_33118,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30583,c_3183]) ).
tcf(c_33119,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30583,c_3182]) ).
tcf(c_33120,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_3137]) ).
tcf(c_33121,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30583,c_3136]) ).
tcf(c_33122,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30583,c_3135]) ).
tcf(c_33123,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_2920]) ).
tcf(c_33124,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30583,c_2919]) ).
tcf(c_33125,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30583,c_2918]) ).
tcf(c_33126,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_2823]) ).
tcf(c_33127,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30583,c_2822]) ).
tcf(c_33128,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30583,c_2821]) ).
tcf(c_33129,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_2722]) ).
tcf(c_33130,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30583,c_2721]) ).
tcf(c_33131,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30583,c_2720]) ).
tcf(c_33134,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30583,c_6628]) ).
tcf(c_33138,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_30583,c_6809]) ).
tcf(c_33453,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7623]) ).
tcf(c_33454,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7622]) ).
tcf(c_33455,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7621]) ).
tcf(c_33456,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7620]) ).
tcf(c_33457,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7619]) ).
tcf(c_33461,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7470]) ).
tcf(c_33462,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7469]) ).
tcf(c_33463,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7466]) ).
tcf(c_33464,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7289]) ).
tcf(c_33465,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7288]) ).
tcf(c_33466,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7285]) ).
tcf(c_33469,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_19441]) ).
tcf(c_33470,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30723,c_19440]) ).
tcf(c_33471,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30723,c_19439]) ).
tcf(c_33472,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_30723,c_20816]) ).
tcf(c_33473,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_30723,c_20812]) ).
tcf(c_33474,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_30723,c_18593]) ).
tcf(c_33475,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_30723,c_6812]) ).
tcf(c_33482,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_3184]) ).
tcf(c_33483,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30723,c_3183]) ).
tcf(c_33484,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30723,c_3182]) ).
tcf(c_33485,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_3137]) ).
tcf(c_33486,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30723,c_3136]) ).
tcf(c_33487,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30723,c_3135]) ).
tcf(c_33488,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_2920]) ).
tcf(c_33489,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30723,c_2919]) ).
tcf(c_33490,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30723,c_2918]) ).
tcf(c_33491,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_2823]) ).
tcf(c_33492,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30723,c_2822]) ).
tcf(c_33493,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30723,c_2821]) ).
tcf(c_33494,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_2722]) ).
tcf(c_33495,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30723,c_2721]) ).
tcf(c_33496,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30723,c_2720]) ).
tcf(c_33498,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_30723,c_6629]) ).
tcf(c_33500,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_30723,c_6307]) ).
tcf(c_33503,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_30723,c_6809]) ).
tcf(c_33684,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7623]) ).
tcf(c_33685,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7622]) ).
tcf(c_33686,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7621]) ).
tcf(c_33687,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7620]) ).
tcf(c_33688,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7619]) ).
tcf(c_33692,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7470]) ).
tcf(c_33693,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7469]) ).
tcf(c_33694,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7466]) ).
tcf(c_33695,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7289]) ).
tcf(c_33696,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7288]) ).
tcf(c_33697,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7285]) ).
tcf(c_33700,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_19441]) ).
tcf(c_33701,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30845,c_19440]) ).
tcf(c_33702,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30845,c_19439]) ).
tcf(c_33703,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30845,c_20816]) ).
tcf(c_33704,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30845,c_20812]) ).
tcf(c_33705,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30845,c_18593]) ).
tcf(c_33706,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_30845,c_6812]) ).
tcf(c_33713,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_3184]) ).
tcf(c_33714,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30845,c_3183]) ).
tcf(c_33715,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30845,c_3182]) ).
tcf(c_33716,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_3137]) ).
tcf(c_33717,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30845,c_3136]) ).
tcf(c_33718,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30845,c_3135]) ).
tcf(c_33719,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_2920]) ).
tcf(c_33720,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30845,c_2919]) ).
tcf(c_33721,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30845,c_2918]) ).
tcf(c_33722,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_2823]) ).
tcf(c_33723,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30845,c_2822]) ).
tcf(c_33724,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30845,c_2821]) ).
tcf(c_33725,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_2722]) ).
tcf(c_33726,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30845,c_2721]) ).
tcf(c_33727,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30845,c_2720]) ).
tcf(c_33729,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30845,c_6629]) ).
tcf(c_33734,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_30845,c_6809]) ).
tcf(c_33963,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7628,c_15741]) ).
tcf(c_33964,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7628,c_115]) ).
tcf(c_33966,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7628,c_19287]) ).
tcf(c_33968,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_33966,c_11706]) ).
tcf(c_33998,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7629,c_15741]) ).
tcf(c_33999,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7629,c_115]) ).
tcf(c_34001,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7629,c_19287]) ).
tcf(c_34003,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_34001,c_11706]) ).
tcf(c_34018,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7630,c_15741]) ).
tcf(c_34019,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7630,c_115]) ).
tcf(c_34021,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7630,c_19287]) ).
tcf(c_34023,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_34021,c_11706]) ).
tcf(c_34038,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7914]) ).
tcf(c_34039,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7914]) ).
tcf(c_34040,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7914]) ).
tcf(c_34041,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7914]) ).
tcf(c_34053,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7914,c_15741]) ).
tcf(c_34054,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7914,c_115]) ).
tcf(c_34056,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7914,c_23181]) ).
tcf(c_34062,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7914,c_22996]) ).
tcf(c_34097,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7915]) ).
tcf(c_34098,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7915]) ).
tcf(c_34099,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7915]) ).
tcf(c_34100,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7915]) ).
tcf(c_34112,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7915,c_15741]) ).
tcf(c_34113,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7915,c_115]) ).
tcf(c_34115,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7915,c_23181]) ).
tcf(c_34121,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7915,c_22996]) ).
tcf(c_34269,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7916]) ).
tcf(c_34270,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7916]) ).
tcf(c_34271,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7916]) ).
tcf(c_34272,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7916]) ).
tcf(c_34284,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7916,c_15741]) ).
tcf(c_34285,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7916,c_115]) ).
tcf(c_34287,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7916,c_23181]) ).
tcf(c_34293,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7916,c_22996]) ).
tcf(c_34430,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7917]) ).
tcf(c_34431,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7917]) ).
tcf(c_34432,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7917]) ).
tcf(c_34433,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7917]) ).
tcf(c_34445,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7917,c_15741]) ).
tcf(c_34446,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7917,c_115]) ).
tcf(c_34448,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7917,c_23181]) ).
tcf(c_34454,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7917,c_22996]) ).
tcf(c_34508,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_7918]) ).
tcf(c_34509,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_7918]) ).
tcf(c_34510,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_7918]) ).
tcf(c_34511,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_7918]) ).
tcf(c_34523,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7918,c_15741]) ).
tcf(c_34524,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7918,c_115]) ).
tcf(c_34526,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7918,c_23181]) ).
tcf(c_34532,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7918,c_22996]) ).
tcf(c_34567,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7274,c_15741]) ).
tcf(c_34568,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7274,c_115]) ).
tcf(c_34569,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7274,c_7261]) ).
tcf(c_34570,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7274,c_19287]) ).
tcf(c_34571,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7274,c_3889]) ).
tcf(c_34572,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_34570,c_11706]) ).
tcf(c_34577,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_34569,c_12297]) ).
tcf(c_34584,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_34571,c_12297]) ).
tcf(c_34620,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20816,c_25674]) ).
tcf(c_34621,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20812,c_25674]) ).
tcf(c_34622,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18593,c_25674]) ).
tcf(c_34623,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6721,c_25674]) ).
tcf(c_34624,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6629,c_25674]) ).
tcf(c_34625,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6628,c_25674]) ).
tcf(c_34626,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6307,c_25674]) ).
tcf(c_34627,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6252,c_25674]) ).
tcf(c_34628,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6104,c_25674]) ).
tcf(c_34629,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_25674,c_749]) ).
tcf(c_34630,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_25674,c_15741]) ).
tcf(c_34631,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_25674,c_115]) ).
tcf(c_34632,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_25674,c_747]) ).
tcf(c_34633,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_25674,c_6812]) ).
tcf(c_34722,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20812,c_26096]) ).
tcf(c_34725,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6629,c_26096]) ).
tcf(c_34726,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6628,c_26096]) ).
tcf(c_34727,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6307,c_26096]) ).
tcf(c_34730,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26096,c_749]) ).
tcf(c_34731,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26096,c_15741]) ).
tcf(c_34732,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_26096,c_115]) ).
tcf(c_34733,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26096,c_747]) ).
tcf(c_34734,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_26096,c_6812]) ).
tcf(c_34806,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6307,c_26153]) ).
tcf(c_34809,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26153,c_749]) ).
tcf(c_34810,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26153,c_15741]) ).
tcf(c_34811,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_26153,c_115]) ).
tcf(c_34812,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26153,c_747]) ).
tcf(c_34813,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_26153,c_6812]) ).
tcf(c_34853,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6629,c_26217]) ).
tcf(c_34858,plain,
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26217,c_749]) ).
tcf(c_34859,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(iPr_def_29),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26217,c_15741]) ).
tcf(c_34860,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_26217,c_115]) ).
tcf(c_34861,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_29) )
| ( inverse(inverse(iPr_def_29)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26217,c_747]) ).
tcf(c_34862,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_26217,c_6812]) ).
tcf(c_34902,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31299,c_26329]) ).
tcf(c_34903,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_31299,c_27193]) ).
tcf(c_34904,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_31299,c_26327]) ).
tcf(c_34905,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31299,c_20206]) ).
tcf(c_34906,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31299,c_20205]) ).
tcf(c_34907,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_31299,c_6807]) ).
tcf(c_34908,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31299,c_4483]) ).
tcf(c_34909,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31299,c_4482]) ).
tcf(c_34910,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31299,c_4421]) ).
tcf(c_34911,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31299,c_4420]) ).
tcf(c_34912,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31299,c_1718]) ).
tcf(c_34913,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31299,c_1717]) ).
tcf(c_34914,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31299,c_1705]) ).
tcf(c_34915,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31299,c_1704]) ).
tcf(c_34916,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31299,c_1596]) ).
tcf(c_34917,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31299,c_1595]) ).
tcf(c_34918,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31299,c_1583]) ).
tcf(c_34919,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31299,c_1582]) ).
tcf(c_34920,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31299,c_1542]) ).
tcf(c_34921,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31299,c_1541]) ).
tcf(c_34922,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31299,c_6804]) ).
tcf(c_34923,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31299,c_3904]) ).
tcf(c_34924,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_31299,c_1358]) ).
tcf(c_35131,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31300,c_26329]) ).
tcf(c_35132,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_31300,c_27193]) ).
tcf(c_35133,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_31300,c_26327]) ).
tcf(c_35134,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31300,c_20206]) ).
tcf(c_35135,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31300,c_20205]) ).
tcf(c_35136,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_31300,c_6807]) ).
tcf(c_35137,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31300,c_4483]) ).
tcf(c_35138,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31300,c_4482]) ).
tcf(c_35139,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31300,c_4421]) ).
tcf(c_35140,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31300,c_4420]) ).
tcf(c_35141,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31300,c_1718]) ).
tcf(c_35142,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31300,c_1717]) ).
tcf(c_35143,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31300,c_1705]) ).
tcf(c_35144,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31300,c_1704]) ).
tcf(c_35145,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31300,c_1596]) ).
tcf(c_35146,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31300,c_1595]) ).
tcf(c_35147,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31300,c_1583]) ).
tcf(c_35148,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31300,c_1582]) ).
tcf(c_35149,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31300,c_1542]) ).
tcf(c_35150,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31300,c_1541]) ).
tcf(c_35151,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31300,c_6804]) ).
tcf(c_35152,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31300,c_3904]) ).
tcf(c_35153,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_31300,c_1358]) ).
tcf(c_35261,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31584,c_26329]) ).
tcf(c_35262,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_31584,c_27193]) ).
tcf(c_35263,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_31584,c_26327]) ).
tcf(c_35264,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31584,c_20206]) ).
tcf(c_35265,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31584,c_20205]) ).
tcf(c_35266,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_31584,c_6807]) ).
tcf(c_35269,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31584,c_4421]) ).
tcf(c_35270,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31584,c_4420]) ).
tcf(c_35271,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31584,c_1718]) ).
tcf(c_35272,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31584,c_1717]) ).
tcf(c_35273,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31584,c_1705]) ).
tcf(c_35274,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31584,c_1704]) ).
tcf(c_35275,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31584,c_1596]) ).
tcf(c_35276,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31584,c_1595]) ).
tcf(c_35277,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31584,c_1583]) ).
tcf(c_35278,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31584,c_1582]) ).
tcf(c_35279,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31584,c_1542]) ).
tcf(c_35280,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31584,c_1541]) ).
tcf(c_35281,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31584,c_6804]) ).
tcf(c_35282,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31584,c_3904]) ).
tcf(c_35283,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_31584,c_1358]) ).
tcf(c_35503,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31585,c_26329]) ).
tcf(c_35504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_31585,c_27193]) ).
tcf(c_35505,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_31585,c_26327]) ).
tcf(c_35506,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31585,c_20206]) ).
tcf(c_35507,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31585,c_20205]) ).
tcf(c_35508,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_31585,c_6807]) ).
tcf(c_35511,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31585,c_4421]) ).
tcf(c_35512,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31585,c_4420]) ).
tcf(c_35513,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31585,c_1718]) ).
tcf(c_35514,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31585,c_1717]) ).
tcf(c_35515,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31585,c_1705]) ).
tcf(c_35516,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31585,c_1704]) ).
tcf(c_35517,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31585,c_1596]) ).
tcf(c_35518,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31585,c_1595]) ).
tcf(c_35519,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31585,c_1583]) ).
tcf(c_35520,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31585,c_1582]) ).
tcf(c_35521,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31585,c_1542]) ).
tcf(c_35522,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31585,c_1541]) ).
tcf(c_35523,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31585,c_6804]) ).
tcf(c_35524,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31585,c_3904]) ).
tcf(c_35525,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_31585,c_1358]) ).
tcf(c_35593,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7921,c_15741]) ).
tcf(c_35594,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7921,c_115]) ).
tcf(c_35596,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7921,c_23181]) ).
tcf(c_35602,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7921,c_22996]) ).
tcf(c_35625,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7922,c_15741]) ).
tcf(c_35626,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7922,c_115]) ).
tcf(c_35628,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7922,c_23181]) ).
tcf(c_35634,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7922,c_22996]) ).
tcf(c_35658,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7923,c_15741]) ).
tcf(c_35659,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7923,c_115]) ).
tcf(c_35661,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7923,c_23181]) ).
tcf(c_35667,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7923,c_22996]) ).
tcf(c_35727,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7924,c_15741]) ).
tcf(c_35728,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7924,c_115]) ).
tcf(c_35730,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7924,c_23181]) ).
tcf(c_35736,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7924,c_22996]) ).
tcf(c_35759,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7925,c_15741]) ).
tcf(c_35760,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7925,c_115]) ).
tcf(c_35762,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7925,c_23181]) ).
tcf(c_35768,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7925,c_22996]) ).
tcf(c_35789,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7277,c_15741]) ).
tcf(c_35790,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7277,c_115]) ).
tcf(c_35791,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7277,c_7261]) ).
tcf(c_35792,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7277,c_19287]) ).
tcf(c_35793,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7277,c_3889]) ).
tcf(c_35794,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_35792,c_11706]) ).
tcf(c_35799,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_35791,c_12297]) ).
tcf(c_35806,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_35793,c_12297]) ).
tcf(c_35819,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20925,c_26808]) ).
tcf(c_35820,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20921,c_26808]) ).
tcf(c_35821,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20856,c_26808]) ).
tcf(c_35822,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20852,c_26808]) ).
tcf(c_35823,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18644,c_26808]) ).
tcf(c_35824,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18620,c_26808]) ).
tcf(c_35825,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5784,c_26808]) ).
tcf(c_35826,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5665,c_26808]) ).
tcf(c_35827,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5604,c_26808]) ).
tcf(c_35828,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5602,c_26808]) ).
tcf(c_35829,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5511,c_26808]) ).
tcf(c_35830,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5509,c_26808]) ).
tcf(c_35831,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4861,c_26808]) ).
tcf(c_35832,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4802,c_26808]) ).
tcf(c_35833,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4769,c_26808]) ).
tcf(c_35834,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4767,c_26808]) ).
tcf(c_35835,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4582,c_26808]) ).
tcf(c_35836,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4580,c_26808]) ).
tcf(c_35837,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26808,c_749]) ).
tcf(c_35838,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26808,c_15741]) ).
tcf(c_35839,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_26808,c_115]) ).
tcf(c_35840,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26808,c_747]) ).
tcf(c_35841,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_26808,c_6807]) ).
tcf(c_35968,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4769,c_26906]) ).
tcf(c_35969,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4767,c_26906]) ).
tcf(c_35970,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4582,c_26906]) ).
tcf(c_35971,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4580,c_26906]) ).
tcf(c_35972,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26906,c_749]) ).
tcf(c_35973,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26906,c_15741]) ).
tcf(c_35974,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_26906,c_115]) ).
tcf(c_35975,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26906,c_747]) ).
tcf(c_35976,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_26906,c_6807]) ).
tcf(c_36081,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4582,c_27039]) ).
tcf(c_36082,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4580,c_27039]) ).
tcf(c_36083,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_27039,c_749]) ).
tcf(c_36084,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27039,c_15741]) ).
tcf(c_36085,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_27039,c_115]) ).
tcf(c_36086,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_27039,c_747]) ).
tcf(c_36087,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_27039,c_6807]) ).
tcf(c_36143,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27339,c_15741]) ).
tcf(c_36145,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27339,c_3904]) ).
tcf(c_36165,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7918]) ).
tcf(c_36166,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7917]) ).
tcf(c_36167,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7916]) ).
tcf(c_36168,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7915]) ).
tcf(c_36169,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7914]) ).
tcf(c_36170,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7623]) ).
tcf(c_36171,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7622]) ).
tcf(c_36172,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7621]) ).
tcf(c_36173,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7620]) ).
tcf(c_36174,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7619]) ).
tcf(c_36177,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31746,c_24132]) ).
tcf(c_36178,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7470]) ).
tcf(c_36179,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7469]) ).
tcf(c_36180,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7466]) ).
tcf(c_36181,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7289]) ).
tcf(c_36182,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7288]) ).
tcf(c_36183,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_7285]) ).
tcf(c_36186,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_19441]) ).
tcf(c_36187,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31746,c_19440]) ).
tcf(c_36188,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31746,c_19439]) ).
tcf(c_36189,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31746,c_20816]) ).
tcf(c_36191,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31746,c_18593]) ).
tcf(c_36192,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_31746,c_6812]) ).
tcf(c_36199,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_3184]) ).
tcf(c_36200,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31746,c_3183]) ).
tcf(c_36201,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31746,c_3182]) ).
tcf(c_36202,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_3137]) ).
tcf(c_36203,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31746,c_3136]) ).
tcf(c_36204,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31746,c_3135]) ).
tcf(c_36205,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_2920]) ).
tcf(c_36206,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31746,c_2919]) ).
tcf(c_36207,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31746,c_2918]) ).
tcf(c_36208,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_2823]) ).
tcf(c_36209,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31746,c_2822]) ).
tcf(c_36210,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31746,c_2821]) ).
tcf(c_36211,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_2722]) ).
tcf(c_36212,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31746,c_2721]) ).
tcf(c_36213,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31746,c_2720]) ).
tcf(c_36220,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_31746,c_6809]) ).
tcf(c_36589,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7918]) ).
tcf(c_36590,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7917]) ).
tcf(c_36591,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7916]) ).
tcf(c_36592,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7915]) ).
tcf(c_36593,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7914]) ).
tcf(c_36594,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7623]) ).
tcf(c_36595,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7622]) ).
tcf(c_36596,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7621]) ).
tcf(c_36597,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7620]) ).
tcf(c_36598,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7619]) ).
tcf(c_36602,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7470]) ).
tcf(c_36603,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7469]) ).
tcf(c_36604,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7466]) ).
tcf(c_36605,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7289]) ).
tcf(c_36606,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7288]) ).
tcf(c_36607,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_7285]) ).
tcf(c_36610,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_19441]) ).
tcf(c_36611,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31995,c_19440]) ).
tcf(c_36612,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31995,c_19439]) ).
tcf(c_36615,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31995,c_18593]) ).
tcf(c_36616,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_31995,c_6812]) ).
tcf(c_36623,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_3184]) ).
tcf(c_36624,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31995,c_3183]) ).
tcf(c_36625,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31995,c_3182]) ).
tcf(c_36626,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_3137]) ).
tcf(c_36627,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31995,c_3136]) ).
tcf(c_36628,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31995,c_3135]) ).
tcf(c_36629,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_2920]) ).
tcf(c_36630,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31995,c_2919]) ).
tcf(c_36631,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31995,c_2918]) ).
tcf(c_36632,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_2823]) ).
tcf(c_36633,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31995,c_2822]) ).
tcf(c_36634,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31995,c_2821]) ).
tcf(c_36635,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_2722]) ).
tcf(c_36636,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_31995,c_2721]) ).
tcf(c_36637,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31995,c_2720]) ).
tcf(c_36644,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_31995,c_6809]) ).
tcf(c_36960,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32002,c_26096]) ).
tcf(c_36962,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7918]) ).
tcf(c_36963,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7917]) ).
tcf(c_36964,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7916]) ).
tcf(c_36965,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7915]) ).
tcf(c_36966,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7914]) ).
tcf(c_36967,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7623]) ).
tcf(c_36968,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7622]) ).
tcf(c_36969,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7621]) ).
tcf(c_36970,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7620]) ).
tcf(c_36971,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7619]) ).
tcf(c_36974,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32002,c_24132]) ).
tcf(c_36975,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7470]) ).
tcf(c_36976,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7469]) ).
tcf(c_36977,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7466]) ).
tcf(c_36978,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7289]) ).
tcf(c_36979,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7288]) ).
tcf(c_36980,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_7285]) ).
tcf(c_36983,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_19441]) ).
tcf(c_36984,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32002,c_19440]) ).
tcf(c_36985,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_19439]) ).
tcf(c_36987,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32002,c_20812]) ).
tcf(c_36989,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_27,X0)) = multiply(sk_c12,X0) ) ),
inference(superposition,[status(thm)],[c_32002,c_6812]) ).
tcf(c_36996,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_3184]) ).
tcf(c_36997,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32002,c_3183]) ).
tcf(c_36998,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_3182]) ).
tcf(c_36999,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_3137]) ).
tcf(c_37000,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32002,c_3136]) ).
tcf(c_37001,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_3135]) ).
tcf(c_37002,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_2920]) ).
tcf(c_37003,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32002,c_2919]) ).
tcf(c_37004,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_2918]) ).
tcf(c_37005,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_2823]) ).
tcf(c_37006,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32002,c_2822]) ).
tcf(c_37007,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_2821]) ).
tcf(c_37008,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_2722]) ).
tcf(c_37009,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32002,c_2721]) ).
tcf(c_37010,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_2720]) ).
tcf(c_37017,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_27) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_32002,c_6809]) ).
tcf(c_37397,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32872,c_20856]) ).
tcf(c_37398,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32872,c_20852]) ).
tcf(c_37399,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32872,c_18644]) ).
tcf(c_37401,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_32872,c_6807]) ).
tcf(c_37402,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32872,c_5784]) ).
tcf(c_37403,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32872,c_5665]) ).
tcf(c_37404,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32872,c_5604]) ).
tcf(c_37405,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32872,c_5602]) ).
tcf(c_37408,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32872,c_4861]) ).
tcf(c_37414,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_32872,c_6804]) ).
tcf(c_37630,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7278,c_15741]) ).
tcf(c_37631,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7278,c_115]) ).
tcf(c_37632,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7278,c_7261]) ).
tcf(c_37633,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7278,c_19287]) ).
tcf(c_37634,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7278,c_3889]) ).
tcf(c_37635,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_37633,c_11706]) ).
tcf(c_37640,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_37632,c_12297]) ).
tcf(c_37647,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_37634,c_12297]) ).
tcf(c_37657,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27340,c_15741]) ).
tcf(c_37659,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27340,c_3909]) ).
tcf(c_37690,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27341,c_15741]) ).
tcf(c_37692,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_27341,c_3883]) ).
tcf(c_37693,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_27341,c_3881]) ).
tcf(c_37695,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_37693,c_11706]) ).
tcf(c_37698,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_37692,c_12297]) ).
tcf(c_37705,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27799,c_15741]) ).
tcf(c_37707,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27799,c_3905]) ).
tcf(c_37724,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27801,c_15741]) ).
tcf(c_37726,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27801,c_3903]) ).
tcf(c_37766,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33134,c_20925]) ).
tcf(c_37769,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33134,c_20852]) ).
tcf(c_37770,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33134,c_18644]) ).
tcf(c_37772,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_33134,c_6807]) ).
tcf(c_37775,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33134,c_5604]) ).
tcf(c_37776,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33134,c_5602]) ).
tcf(c_37778,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33134,c_5509]) ).
tcf(c_37779,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33134,c_4861]) ).
tcf(c_37785,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_33134,c_6804]) ).
tcf(c_37916,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_33500,c_20925]) ).
tcf(c_37917,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_33500,c_20921]) ).
tcf(c_37920,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_33500,c_18644]) ).
tcf(c_37922,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_33500,c_6807]) ).
tcf(c_37927,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_33500,c_5511]) ).
tcf(c_37929,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33500,c_4861]) ).
tcf(c_37930,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_33500,c_4802]) ).
tcf(c_37935,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_33500,c_6804]) ).
tcf(c_37995,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33729,c_20925]) ).
tcf(c_37996,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33729,c_20921]) ).
tcf(c_37999,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33729,c_18644]) ).
tcf(c_38001,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_33729,c_6807]) ).
tcf(c_38004,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33729,c_5604]) ).
tcf(c_38006,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33729,c_5511]) ).
tcf(c_38014,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_33729,c_6804]) ).
tcf(c_38063,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36189,c_20925]) ).
tcf(c_38065,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_36189,c_20856]) ).
tcf(c_38066,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_36189,c_20852]) ).
tcf(c_38067,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36189,c_18644]) ).
tcf(c_38069,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_36189,c_6807]) ).
tcf(c_38082,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_36189,c_6804]) ).
tcf(c_38142,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8346,c_15741]) ).
tcf(c_38143,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8346,c_115]) ).
tcf(c_38145,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8346,c_19287]) ).
tcf(c_38147,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_38145,c_11706]) ).
tcf(c_38162,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7279,c_15741]) ).
tcf(c_38163,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7279,c_115]) ).
tcf(c_38164,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7279,c_7261]) ).
tcf(c_38165,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7279,c_19287]) ).
tcf(c_38166,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7279,c_3889]) ).
tcf(c_38167,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_38165,c_11706]) ).
tcf(c_38172,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_38164,c_12297]) ).
tcf(c_38179,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_38166,c_12297]) ).
tcf(c_38189,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28090,c_15741]) ).
tcf(c_38191,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28090,c_3904]) ).
tcf(c_38222,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c9),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28092,c_15741]) ).
tcf(c_38224,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_28092,c_3883]) ).
tcf(c_38225,plain,
( ( identity = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_28092,c_3881]) ).
tcf(c_38227,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_38225,c_11706]) ).
tcf(c_38230,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_38224,c_12297]) ).
tcf(c_38237,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28250,c_15741]) ).
tcf(c_38239,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28250,c_3905]) ).
tcf(c_38260,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28251,c_15741]) ).
tcf(c_38262,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28251,c_3910]) ).
tcf(c_38293,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_36615,c_20852]) ).
tcf(c_38294,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36615,c_18644]) ).
tcf(c_38295,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_36615,c_18620]) ).
tcf(c_38296,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_36615,c_6807]) ).
tcf(c_38309,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_36615,c_6804]) ).
tcf(c_38348,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_36987,c_20921]) ).
tcf(c_38350,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_36987,c_20852]) ).
tcf(c_38353,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_36987,c_6807]) ).
tcf(c_38366,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_36987,c_6804]) ).
tcf(c_38382,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_8346]) ).
tcf(c_38383,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7925]) ).
tcf(c_38384,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7924]) ).
tcf(c_38385,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7923]) ).
tcf(c_38386,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7922]) ).
tcf(c_38387,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7921]) ).
tcf(c_38390,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7630]) ).
tcf(c_38391,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7629]) ).
tcf(c_38392,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7628]) ).
tcf(c_38393,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7627]) ).
tcf(c_38394,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7626]) ).
tcf(c_38395,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7477]) ).
tcf(c_38396,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7476]) ).
tcf(c_38397,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7473]) ).
tcf(c_38398,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7296]) ).
tcf(c_38399,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7295]) ).
tcf(c_38400,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_7292]) ).
tcf(c_38401,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37402,c_26329]) ).
tcf(c_38402,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_37402,c_27193]) ).
tcf(c_38403,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_37402,c_26327]) ).
tcf(c_38404,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_20206]) ).
tcf(c_38405,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37402,c_20205]) ).
tcf(c_38406,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_37402,c_6807]) ).
tcf(c_38411,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_1718]) ).
tcf(c_38412,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37402,c_1717]) ).
tcf(c_38413,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_1705]) ).
tcf(c_38414,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37402,c_1704]) ).
tcf(c_38415,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_1596]) ).
tcf(c_38416,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37402,c_1595]) ).
tcf(c_38417,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_1583]) ).
tcf(c_38418,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37402,c_1582]) ).
tcf(c_38419,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_1542]) ).
tcf(c_38420,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37402,c_1541]) ).
tcf(c_38421,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_37402,c_6804]) ).
tcf(c_38422,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37402,c_3904]) ).
tcf(c_38423,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_37402,c_1358]) ).
tcf(c_38699,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_8346]) ).
tcf(c_38700,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7925]) ).
tcf(c_38701,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7924]) ).
tcf(c_38702,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7923]) ).
tcf(c_38703,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7922]) ).
tcf(c_38704,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7921]) ).
tcf(c_38707,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7630]) ).
tcf(c_38708,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7629]) ).
tcf(c_38709,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7628]) ).
tcf(c_38710,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7627]) ).
tcf(c_38711,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7626]) ).
tcf(c_38712,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7477]) ).
tcf(c_38713,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7476]) ).
tcf(c_38714,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7473]) ).
tcf(c_38715,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7296]) ).
tcf(c_38716,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7295]) ).
tcf(c_38717,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_7292]) ).
tcf(c_38718,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37403,c_26329]) ).
tcf(c_38719,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_25) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_37403,c_27193]) ).
tcf(c_38720,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_37403,c_26327]) ).
tcf(c_38721,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_20206]) ).
tcf(c_38722,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37403,c_20205]) ).
tcf(c_38723,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_37403,c_6807]) ).
tcf(c_38728,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_1718]) ).
tcf(c_38729,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37403,c_1717]) ).
tcf(c_38730,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_1705]) ).
tcf(c_38731,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37403,c_1704]) ).
tcf(c_38732,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_1596]) ).
tcf(c_38733,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37403,c_1595]) ).
tcf(c_38734,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_1583]) ).
tcf(c_38735,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37403,c_1582]) ).
tcf(c_38736,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_1542]) ).
tcf(c_38737,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37403,c_1541]) ).
tcf(c_38738,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_37403,c_6804]) ).
tcf(c_38739,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37403,c_3904]) ).
tcf(c_38740,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_37403,c_1358]) ).
tcf(c_38868,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_8347]) ).
tcf(c_38869,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_8347]) ).
tcf(c_38874,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8347,c_15741]) ).
tcf(c_38875,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8347,c_115]) ).
tcf(c_38880,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8347,c_23175]) ).
tcf(c_38883,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8347,c_22996]) ).
tcf(c_39011,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7280,c_15741]) ).
tcf(c_39012,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7280,c_115]) ).
tcf(c_39013,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7280,c_7261]) ).
tcf(c_39014,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7280,c_19287]) ).
tcf(c_39015,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7280,c_3889]) ).
tcf(c_39016,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_39014,c_11706]) ).
tcf(c_39021,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_39013,c_12297]) ).
tcf(c_39028,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_39015,c_12297]) ).
tcf(c_39038,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28252,c_15741]) ).
tcf(c_39040,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28252,c_3903]) ).
tcf(c_39047,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28367,c_15741]) ).
tcf(c_39049,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28367,c_3905]) ).
tcf(c_39056,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28368,c_15741]) ).
tcf(c_39058,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28368,c_3910]) ).
tcf(c_39065,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28369,c_15741]) ).
tcf(c_39067,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28369,c_3903]) ).
tcf(c_39077,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_8347]) ).
tcf(c_39079,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_8346]) ).
tcf(c_39080,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7925]) ).
tcf(c_39081,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7924]) ).
tcf(c_39082,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7923]) ).
tcf(c_39083,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7922]) ).
tcf(c_39084,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7921]) ).
tcf(c_39087,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7630]) ).
tcf(c_39088,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7629]) ).
tcf(c_39089,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7628]) ).
tcf(c_39090,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7627]) ).
tcf(c_39091,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7626]) ).
tcf(c_39092,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7477]) ).
tcf(c_39093,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7476]) ).
tcf(c_39094,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7473]) ).
tcf(c_39095,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7296]) ).
tcf(c_39096,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7295]) ).
tcf(c_39097,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_7292]) ).
tcf(c_39098,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37776,c_26329]) ).
tcf(c_39099,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_37776,c_27193]) ).
tcf(c_39100,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_37776,c_26327]) ).
tcf(c_39101,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_20206]) ).
tcf(c_39102,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37776,c_20205]) ).
tcf(c_39103,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_37776,c_6807]) ).
tcf(c_39108,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_1718]) ).
tcf(c_39109,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37776,c_1717]) ).
tcf(c_39110,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_1705]) ).
tcf(c_39111,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37776,c_1704]) ).
tcf(c_39112,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_1596]) ).
tcf(c_39113,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37776,c_1595]) ).
tcf(c_39114,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_1583]) ).
tcf(c_39115,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37776,c_1582]) ).
tcf(c_39116,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_1542]) ).
tcf(c_39117,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37776,c_1541]) ).
tcf(c_39118,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_37776,c_6804]) ).
tcf(c_39119,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37776,c_3904]) ).
tcf(c_39120,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_37776,c_1358]) ).
tcf(c_39255,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_8347]) ).
tcf(c_39257,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_8346]) ).
tcf(c_39258,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7925]) ).
tcf(c_39259,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7924]) ).
tcf(c_39260,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7923]) ).
tcf(c_39261,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7922]) ).
tcf(c_39262,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7921]) ).
tcf(c_39265,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7630]) ).
tcf(c_39266,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7629]) ).
tcf(c_39267,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7628]) ).
tcf(c_39268,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7627]) ).
tcf(c_39269,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7626]) ).
tcf(c_39270,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7477]) ).
tcf(c_39271,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7476]) ).
tcf(c_39272,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7473]) ).
tcf(c_39273,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7296]) ).
tcf(c_39274,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7295]) ).
tcf(c_39275,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_7292]) ).
tcf(c_39276,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37778,c_26329]) ).
tcf(c_39277,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_25) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_37778,c_27193]) ).
tcf(c_39278,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_37778,c_26327]) ).
tcf(c_39279,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_20206]) ).
tcf(c_39280,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37778,c_20205]) ).
tcf(c_39281,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_37778,c_6807]) ).
tcf(c_39286,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_1718]) ).
tcf(c_39287,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37778,c_1717]) ).
tcf(c_39288,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_1705]) ).
tcf(c_39289,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37778,c_1704]) ).
tcf(c_39290,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_1596]) ).
tcf(c_39291,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37778,c_1595]) ).
tcf(c_39292,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_1583]) ).
tcf(c_39293,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37778,c_1582]) ).
tcf(c_39294,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_1542]) ).
tcf(c_39295,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37778,c_1541]) ).
tcf(c_39296,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_37778,c_6804]) ).
tcf(c_39297,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37778,c_3904]) ).
tcf(c_39298,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_37778,c_1358]) ).
tcf(c_39591,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_8347]) ).
tcf(c_39593,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_8346]) ).
tcf(c_39594,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7925]) ).
tcf(c_39595,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7924]) ).
tcf(c_39596,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7923]) ).
tcf(c_39597,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7922]) ).
tcf(c_39598,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7921]) ).
tcf(c_39601,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7630]) ).
tcf(c_39602,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7629]) ).
tcf(c_39603,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7628]) ).
tcf(c_39604,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7627]) ).
tcf(c_39605,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7626]) ).
tcf(c_39606,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7477]) ).
tcf(c_39607,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7476]) ).
tcf(c_39608,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7473]) ).
tcf(c_39609,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7296]) ).
tcf(c_39610,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7295]) ).
tcf(c_39611,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_7292]) ).
tcf(c_39612,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37929,c_26329]) ).
tcf(c_39613,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_37929,c_27193]) ).
tcf(c_39614,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_37929,c_26327]) ).
tcf(c_39615,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_20206]) ).
tcf(c_39616,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37929,c_20205]) ).
tcf(c_39617,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_37929,c_6807]) ).
tcf(c_39622,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_1718]) ).
tcf(c_39623,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37929,c_1717]) ).
tcf(c_39624,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_1705]) ).
tcf(c_39625,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37929,c_1704]) ).
tcf(c_39626,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_1596]) ).
tcf(c_39627,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37929,c_1595]) ).
tcf(c_39628,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_1583]) ).
tcf(c_39629,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37929,c_1582]) ).
tcf(c_39630,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_1542]) ).
tcf(c_39631,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37929,c_1541]) ).
tcf(c_39632,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_37929,c_6804]) ).
tcf(c_39633,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37929,c_3904]) ).
tcf(c_39634,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_37929,c_1358]) ).
tcf(c_39916,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_8347]) ).
tcf(c_39918,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_8346]) ).
tcf(c_39919,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7925]) ).
tcf(c_39920,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7924]) ).
tcf(c_39921,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7923]) ).
tcf(c_39922,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7922]) ).
tcf(c_39923,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7921]) ).
tcf(c_39926,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7630]) ).
tcf(c_39927,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7629]) ).
tcf(c_39928,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7628]) ).
tcf(c_39929,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7627]) ).
tcf(c_39930,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7626]) ).
tcf(c_39931,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7477]) ).
tcf(c_39932,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7476]) ).
tcf(c_39933,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7473]) ).
tcf(c_39934,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7296]) ).
tcf(c_39935,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7295]) ).
tcf(c_39936,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_7292]) ).
tcf(c_39937,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37930,c_26329]) ).
tcf(c_39938,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_37930,c_27193]) ).
tcf(c_39939,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_37930,c_26327]) ).
tcf(c_39940,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_20206]) ).
tcf(c_39941,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37930,c_20205]) ).
tcf(c_39942,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_37930,c_6807]) ).
tcf(c_39947,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_1718]) ).
tcf(c_39948,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37930,c_1717]) ).
tcf(c_39949,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_1705]) ).
tcf(c_39950,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37930,c_1704]) ).
tcf(c_39951,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_1596]) ).
tcf(c_39952,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37930,c_1595]) ).
tcf(c_39953,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_1583]) ).
tcf(c_39954,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37930,c_1582]) ).
tcf(c_39955,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_1542]) ).
tcf(c_39956,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37930,c_1541]) ).
tcf(c_39957,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_37930,c_6804]) ).
tcf(c_39958,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37930,c_3904]) ).
tcf(c_39959,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_37930,c_1358]) ).
tcf(c_40221,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_8813]) ).
tcf(c_40222,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_8813]) ).
tcf(c_40223,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_8813]) ).
tcf(c_40224,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_8813]) ).
tcf(c_40225,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_8813]) ).
tcf(c_40226,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_8813]) ).
tcf(c_40231,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8813,c_15741]) ).
tcf(c_40232,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8813,c_115]) ).
tcf(c_40234,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8813,c_19287]) ).
tcf(c_40236,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_40234,c_11706]) ).
tcf(c_40275,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7283,c_15741]) ).
tcf(c_40276,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7283,c_115]) ).
tcf(c_40277,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7283,c_7261]) ).
tcf(c_40278,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7283,c_19287]) ).
tcf(c_40279,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7283,c_3889]) ).
tcf(c_40280,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_40278,c_11706]) ).
tcf(c_40285,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_40277,c_12297]) ).
tcf(c_40292,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_40279,c_12297]) ).
tcf(c_40303,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_28511,c_749]) ).
tcf(c_40304,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28511,c_15741]) ).
tcf(c_40305,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_28511,c_115]) ).
tcf(c_40306,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_28511,c_747]) ).
tcf(c_40307,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_28511,c_7194]) ).
tcf(c_40359,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20925,c_29360]) ).
tcf(c_40360,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20921,c_29360]) ).
tcf(c_40361,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20856,c_29360]) ).
tcf(c_40362,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20852,c_29360]) ).
tcf(c_40363,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18644,c_29360]) ).
tcf(c_40364,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18620,c_29360]) ).
tcf(c_40365,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5784,c_29360]) ).
tcf(c_40366,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5665,c_29360]) ).
tcf(c_40367,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5604,c_29360]) ).
tcf(c_40368,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5602,c_29360]) ).
tcf(c_40369,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5511,c_29360]) ).
tcf(c_40370,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5509,c_29360]) ).
tcf(c_40371,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4861,c_29360]) ).
tcf(c_40372,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4802,c_29360]) ).
tcf(c_40373,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4769,c_29360]) ).
tcf(c_40374,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4767,c_29360]) ).
tcf(c_40375,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4582,c_29360]) ).
tcf(c_40376,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4580,c_29360]) ).
tcf(c_40377,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29360,c_749]) ).
tcf(c_40378,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29360,c_15741]) ).
tcf(c_40379,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_29360,c_115]) ).
tcf(c_40380,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_29360,c_747]) ).
tcf(c_40381,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_29360,c_6807]) ).
tcf(c_40646,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20925,c_29976]) ).
tcf(c_40647,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20921,c_29976]) ).
tcf(c_40648,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20856,c_29976]) ).
tcf(c_40649,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20852,c_29976]) ).
tcf(c_40650,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18644,c_29976]) ).
tcf(c_40651,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18620,c_29976]) ).
tcf(c_40652,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5784,c_29976]) ).
tcf(c_40653,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5665,c_29976]) ).
tcf(c_40654,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5604,c_29976]) ).
tcf(c_40655,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5602,c_29976]) ).
tcf(c_40656,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5511,c_29976]) ).
tcf(c_40657,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5509,c_29976]) ).
tcf(c_40658,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4861,c_29976]) ).
tcf(c_40659,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4802,c_29976]) ).
tcf(c_40660,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4769,c_29976]) ).
tcf(c_40661,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4767,c_29976]) ).
tcf(c_40662,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4582,c_29976]) ).
tcf(c_40663,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4580,c_29976]) ).
tcf(c_40664,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_29976,c_749]) ).
tcf(c_40665,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29976,c_15741]) ).
tcf(c_40666,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_29976,c_115]) ).
tcf(c_40667,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_29976,c_747]) ).
tcf(c_40668,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_29976,c_6807]) ).
tcf(c_40792,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20925,c_30451]) ).
tcf(c_40793,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20921,c_30451]) ).
tcf(c_40794,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20856,c_30451]) ).
tcf(c_40795,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20852,c_30451]) ).
tcf(c_40798,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5784,c_30451]) ).
tcf(c_40799,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5665,c_30451]) ).
tcf(c_40800,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5604,c_30451]) ).
tcf(c_40801,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5602,c_30451]) ).
tcf(c_40802,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5511,c_30451]) ).
tcf(c_40803,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5509,c_30451]) ).
tcf(c_40804,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4861,c_30451]) ).
tcf(c_40805,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4802,c_30451]) ).
tcf(c_40810,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_30451,c_749]) ).
tcf(c_40811,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30451,c_15741]) ).
tcf(c_40812,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_30451,c_115]) ).
tcf(c_40813,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_30451,c_747]) ).
tcf(c_40814,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_30451,c_6807]) ).
tcf(c_41015,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_8813]) ).
tcf(c_41018,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_8347]) ).
tcf(c_41020,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_8346]) ).
tcf(c_41021,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7925]) ).
tcf(c_41022,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7924]) ).
tcf(c_41023,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7923]) ).
tcf(c_41024,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7922]) ).
tcf(c_41025,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7921]) ).
tcf(c_41028,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7630]) ).
tcf(c_41029,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7629]) ).
tcf(c_41030,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7628]) ).
tcf(c_41031,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7627]) ).
tcf(c_41032,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7626]) ).
tcf(c_41033,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7477]) ).
tcf(c_41034,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7476]) ).
tcf(c_41035,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7473]) ).
tcf(c_41036,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7296]) ).
tcf(c_41037,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7295]) ).
tcf(c_41038,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_7292]) ).
tcf(c_41039,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38004,c_26329]) ).
tcf(c_41040,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38004,c_27193]) ).
tcf(c_41041,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38004,c_26327]) ).
tcf(c_41042,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_20206]) ).
tcf(c_41043,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38004,c_20205]) ).
tcf(c_41044,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_38004,c_6807]) ).
tcf(c_41049,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_1718]) ).
tcf(c_41050,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38004,c_1717]) ).
tcf(c_41051,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_1705]) ).
tcf(c_41052,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38004,c_1704]) ).
tcf(c_41053,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_1596]) ).
tcf(c_41054,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38004,c_1595]) ).
tcf(c_41055,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_1583]) ).
tcf(c_41056,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38004,c_1582]) ).
tcf(c_41057,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_1542]) ).
tcf(c_41058,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38004,c_1541]) ).
tcf(c_41059,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_38004,c_6804]) ).
tcf(c_41060,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38004,c_3904]) ).
tcf(c_41061,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_38004,c_1358]) ).
tcf(c_41363,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_8813]) ).
tcf(c_41366,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_8347]) ).
tcf(c_41368,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_8346]) ).
tcf(c_41369,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7925]) ).
tcf(c_41370,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7924]) ).
tcf(c_41371,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7923]) ).
tcf(c_41372,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7922]) ).
tcf(c_41373,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7921]) ).
tcf(c_41376,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7630]) ).
tcf(c_41377,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7629]) ).
tcf(c_41378,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7628]) ).
tcf(c_41379,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7627]) ).
tcf(c_41380,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7626]) ).
tcf(c_41381,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7477]) ).
tcf(c_41382,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7476]) ).
tcf(c_41383,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7473]) ).
tcf(c_41384,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7296]) ).
tcf(c_41385,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7295]) ).
tcf(c_41386,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_7292]) ).
tcf(c_41387,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38006,c_26329]) ).
tcf(c_41388,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_25) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38006,c_27193]) ).
tcf(c_41389,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_38006,c_26327]) ).
tcf(c_41390,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_20206]) ).
tcf(c_41391,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38006,c_20205]) ).
tcf(c_41392,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_38006,c_6807]) ).
tcf(c_41397,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_1718]) ).
tcf(c_41398,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38006,c_1717]) ).
tcf(c_41399,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_1705]) ).
tcf(c_41400,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38006,c_1704]) ).
tcf(c_41401,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_1596]) ).
tcf(c_41402,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38006,c_1595]) ).
tcf(c_41403,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_1583]) ).
tcf(c_41404,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38006,c_1582]) ).
tcf(c_41405,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_1542]) ).
tcf(c_41406,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38006,c_1541]) ).
tcf(c_41407,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_38006,c_6804]) ).
tcf(c_41408,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38006,c_3904]) ).
tcf(c_41409,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_38006,c_1358]) ).
tcf(c_41837,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_8813]) ).
tcf(c_41840,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_8347]) ).
tcf(c_41842,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_8346]) ).
tcf(c_41843,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7925]) ).
tcf(c_41844,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7924]) ).
tcf(c_41845,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7923]) ).
tcf(c_41846,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7922]) ).
tcf(c_41847,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7921]) ).
tcf(c_41850,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7630]) ).
tcf(c_41851,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7629]) ).
tcf(c_41852,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7628]) ).
tcf(c_41853,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7627]) ).
tcf(c_41854,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7626]) ).
tcf(c_41855,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7477]) ).
tcf(c_41856,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7476]) ).
tcf(c_41857,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7473]) ).
tcf(c_41858,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7296]) ).
tcf(c_41859,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7295]) ).
tcf(c_41860,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_7292]) ).
tcf(c_41861,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38063,c_26329]) ).
tcf(c_41862,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_25) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38063,c_27193]) ).
tcf(c_41863,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_38063,c_26327]) ).
tcf(c_41864,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_20206]) ).
tcf(c_41865,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38063,c_20205]) ).
tcf(c_41866,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_38063,c_6807]) ).
tcf(c_41871,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_1718]) ).
tcf(c_41872,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38063,c_1717]) ).
tcf(c_41873,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_1705]) ).
tcf(c_41874,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38063,c_1704]) ).
tcf(c_41875,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_1596]) ).
tcf(c_41876,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38063,c_1595]) ).
tcf(c_41877,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_1583]) ).
tcf(c_41878,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38063,c_1582]) ).
tcf(c_41879,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_1542]) ).
tcf(c_41880,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38063,c_1541]) ).
tcf(c_41881,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_38063,c_6804]) ).
tcf(c_41882,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38063,c_3904]) ).
tcf(c_41883,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_25,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_38063,c_1358]) ).
tcf(c_42050,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_8813]) ).
tcf(c_42053,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_8347]) ).
tcf(c_42055,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_8346]) ).
tcf(c_42056,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7925]) ).
tcf(c_42057,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7924]) ).
tcf(c_42058,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7923]) ).
tcf(c_42059,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7922]) ).
tcf(c_42060,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7921]) ).
tcf(c_42063,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7630]) ).
tcf(c_42064,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7629]) ).
tcf(c_42065,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7628]) ).
tcf(c_42066,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7627]) ).
tcf(c_42067,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7626]) ).
tcf(c_42068,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7477]) ).
tcf(c_42069,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7476]) ).
tcf(c_42070,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7473]) ).
tcf(c_42071,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7296]) ).
tcf(c_42072,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7295]) ).
tcf(c_42073,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_7292]) ).
tcf(c_42074,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38065,c_26329]) ).
tcf(c_42075,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38065,c_27193]) ).
tcf(c_42076,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38065,c_26327]) ).
tcf(c_42077,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_20206]) ).
tcf(c_42078,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38065,c_20205]) ).
tcf(c_42079,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_38065,c_6807]) ).
tcf(c_42084,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_1718]) ).
tcf(c_42085,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38065,c_1717]) ).
tcf(c_42086,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_1705]) ).
tcf(c_42087,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38065,c_1704]) ).
tcf(c_42088,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_1596]) ).
tcf(c_42089,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38065,c_1595]) ).
tcf(c_42090,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_1583]) ).
tcf(c_42091,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38065,c_1582]) ).
tcf(c_42092,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_1542]) ).
tcf(c_42093,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38065,c_1541]) ).
tcf(c_42094,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_38065,c_6804]) ).
tcf(c_42095,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38065,c_3904]) ).
tcf(c_42096,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_38065,c_1358]) ).
tcf(c_42345,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_8814]) ).
tcf(c_42346,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_8814]) ).
tcf(c_42347,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_8814]) ).
tcf(c_42348,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_8814]) ).
tcf(c_42349,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_8814]) ).
tcf(c_42350,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_8814]) ).
tcf(c_42351,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_8814]) ).
tcf(c_42352,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_8814]) ).
tcf(c_42353,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_8814]) ).
tcf(c_42354,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_8814]) ).
tcf(c_42359,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8814,c_15741]) ).
tcf(c_42360,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8814,c_115]) ).
tcf(c_42365,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8814,c_23175]) ).
tcf(c_42368,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8814,c_22996]) ).
tcf(c_42462,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_8873]) ).
tcf(c_42463,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_8873]) ).
tcf(c_42464,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_8873]) ).
tcf(c_42465,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_8873]) ).
tcf(c_42466,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_8873]) ).
tcf(c_42467,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_8873]) ).
tcf(c_42468,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_8873]) ).
tcf(c_42469,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_8873]) ).
tcf(c_42470,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_8873]) ).
tcf(c_42471,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_8873]) ).
tcf(c_42476,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8873,c_15741]) ).
tcf(c_42477,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8873,c_115]) ).
tcf(c_42479,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8873,c_19287]) ).
tcf(c_42481,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_42479,c_11706]) ).
tcf(c_42560,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_8874]) ).
tcf(c_42561,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_8874]) ).
tcf(c_42562,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_8874]) ).
tcf(c_42563,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_8874]) ).
tcf(c_42564,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_8874]) ).
tcf(c_42565,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_8874]) ).
tcf(c_42566,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_8874]) ).
tcf(c_42567,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_8874]) ).
tcf(c_42568,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_8874]) ).
tcf(c_42569,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_8874]) ).
tcf(c_42574,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8874,c_15741]) ).
tcf(c_42575,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8874,c_115]) ).
tcf(c_42580,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8874,c_23175]) ).
tcf(c_42583,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8874,c_22996]) ).
tcf(c_42741,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7284,c_15741]) ).
tcf(c_42742,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7284,c_115]) ).
tcf(c_42743,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7284,c_7261]) ).
tcf(c_42744,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7284,c_19287]) ).
tcf(c_42745,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7284,c_3889]) ).
tcf(c_42746,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_42744,c_11706]) ).
tcf(c_42751,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_42743,c_12297]) ).
tcf(c_42758,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_42745,c_12297]) ).
tcf(c_42809,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20921,c_30604]) ).
tcf(c_42811,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20852,c_30604]) ).
tcf(c_42816,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5604,c_30604]) ).
tcf(c_42817,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5602,c_30604]) ).
tcf(c_42818,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5511,c_30604]) ).
tcf(c_42819,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5509,c_30604]) ).
tcf(c_42820,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4861,c_30604]) ).
tcf(c_42821,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4802,c_30604]) ).
tcf(c_42826,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_30604,c_749]) ).
tcf(c_42827,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30604,c_15741]) ).
tcf(c_42828,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_30604,c_115]) ).
tcf(c_42829,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_30604,c_747]) ).
tcf(c_42830,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_30604,c_6807]) ).
tcf(c_43114,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4861,c_30745]) ).
tcf(c_43115,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4802,c_30745]) ).
tcf(c_43120,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_30745,c_749]) ).
tcf(c_43121,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30745,c_15741]) ).
tcf(c_43122,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_30745,c_115]) ).
tcf(c_43123,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_30745,c_747]) ).
tcf(c_43124,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_30745,c_6807]) ).
tcf(c_43174,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5604,c_30868]) ).
tcf(c_43176,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5511,c_30868]) ).
tcf(c_43184,plain,
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_27) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_30868,c_749]) ).
tcf(c_43185,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30868,c_15741]) ).
tcf(c_43186,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_30868,c_115]) ).
tcf(c_43187,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_30868,c_747]) ).
tcf(c_43188,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_30868,c_6807]) ).
tcf(c_43221,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_31769,c_749]) ).
tcf(c_43222,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31769,c_15741]) ).
tcf(c_43223,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_31769,c_115]) ).
tcf(c_43224,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_31769,c_747]) ).
tcf(c_43225,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c12,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_31769,c_7204]) ).
tcf(c_43258,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_8874]) ).
tcf(c_43259,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_8873]) ).
tcf(c_43260,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_8814]) ).
tcf(c_43263,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_8813]) ).
tcf(c_43266,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_8347]) ).
tcf(c_43268,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_8346]) ).
tcf(c_43269,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7925]) ).
tcf(c_43270,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7924]) ).
tcf(c_43271,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7923]) ).
tcf(c_43272,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7922]) ).
tcf(c_43273,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7921]) ).
tcf(c_43276,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7630]) ).
tcf(c_43277,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7629]) ).
tcf(c_43278,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7628]) ).
tcf(c_43279,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7627]) ).
tcf(c_43280,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7626]) ).
tcf(c_43281,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7477]) ).
tcf(c_43282,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7476]) ).
tcf(c_43283,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7473]) ).
tcf(c_43284,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7296]) ).
tcf(c_43285,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7295]) ).
tcf(c_43286,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_7292]) ).
tcf(c_43287,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38294,c_26329]) ).
tcf(c_43288,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_25) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38294,c_27193]) ).
tcf(c_43289,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_38294,c_26327]) ).
tcf(c_43290,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_20206]) ).
tcf(c_43291,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38294,c_20205]) ).
tcf(c_43292,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_38294,c_6807]) ).
tcf(c_43297,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_1718]) ).
tcf(c_43298,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38294,c_1717]) ).
tcf(c_43299,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_1705]) ).
tcf(c_43300,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38294,c_1704]) ).
tcf(c_43301,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_1596]) ).
tcf(c_43302,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38294,c_1595]) ).
tcf(c_43303,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_1583]) ).
tcf(c_43304,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38294,c_1582]) ).
tcf(c_43305,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_1542]) ).
tcf(c_43306,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38294,c_1541]) ).
tcf(c_43307,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_38294,c_6804]) ).
tcf(c_43308,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38294,c_3904]) ).
tcf(c_43309,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_25,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_38294,c_1358]) ).
tcf(c_43464,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_8874]) ).
tcf(c_43465,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_8873]) ).
tcf(c_43466,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_8814]) ).
tcf(c_43469,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_8813]) ).
tcf(c_43472,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_8347]) ).
tcf(c_43474,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_8346]) ).
tcf(c_43475,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7925]) ).
tcf(c_43476,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7924]) ).
tcf(c_43477,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7923]) ).
tcf(c_43478,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7922]) ).
tcf(c_43479,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7921]) ).
tcf(c_43482,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7630]) ).
tcf(c_43483,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7629]) ).
tcf(c_43484,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7628]) ).
tcf(c_43485,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7627]) ).
tcf(c_43486,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7626]) ).
tcf(c_43487,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7477]) ).
tcf(c_43488,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7476]) ).
tcf(c_43489,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7473]) ).
tcf(c_43490,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7296]) ).
tcf(c_43491,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7295]) ).
tcf(c_43492,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_7292]) ).
tcf(c_43493,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38295,c_26329]) ).
tcf(c_43494,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38295,c_27193]) ).
tcf(c_43495,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38295,c_26327]) ).
tcf(c_43496,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_20206]) ).
tcf(c_43497,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38295,c_20205]) ).
tcf(c_43498,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_38295,c_6807]) ).
tcf(c_43503,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_1718]) ).
tcf(c_43504,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38295,c_1717]) ).
tcf(c_43505,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_1705]) ).
tcf(c_43506,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38295,c_1704]) ).
tcf(c_43507,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_1596]) ).
tcf(c_43508,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38295,c_1595]) ).
tcf(c_43509,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_1583]) ).
tcf(c_43510,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38295,c_1582]) ).
tcf(c_43511,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_1542]) ).
tcf(c_43512,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38295,c_1541]) ).
tcf(c_43513,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_38295,c_6804]) ).
tcf(c_43514,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38295,c_3904]) ).
tcf(c_43515,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_38295,c_1358]) ).
tcf(c_43852,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_8874]) ).
tcf(c_43853,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_8873]) ).
tcf(c_43854,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_8814]) ).
tcf(c_43857,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_8813]) ).
tcf(c_43860,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_8347]) ).
tcf(c_43862,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_8346]) ).
tcf(c_43863,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7925]) ).
tcf(c_43864,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7924]) ).
tcf(c_43865,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7923]) ).
tcf(c_43866,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7922]) ).
tcf(c_43867,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7921]) ).
tcf(c_43870,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7630]) ).
tcf(c_43871,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7629]) ).
tcf(c_43872,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7628]) ).
tcf(c_43873,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7627]) ).
tcf(c_43874,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7626]) ).
tcf(c_43875,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7477]) ).
tcf(c_43876,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7476]) ).
tcf(c_43877,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7473]) ).
tcf(c_43878,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7296]) ).
tcf(c_43879,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7295]) ).
tcf(c_43880,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_7292]) ).
tcf(c_43881,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38348,c_26329]) ).
tcf(c_43882,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_25) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38348,c_27193]) ).
tcf(c_43883,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_38348,c_26327]) ).
tcf(c_43884,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_20206]) ).
tcf(c_43885,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38348,c_20205]) ).
tcf(c_43886,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_38348,c_6807]) ).
tcf(c_43891,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_1718]) ).
tcf(c_43892,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38348,c_1717]) ).
tcf(c_43893,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_1705]) ).
tcf(c_43894,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38348,c_1704]) ).
tcf(c_43895,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_1596]) ).
tcf(c_43896,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38348,c_1595]) ).
tcf(c_43897,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_1583]) ).
tcf(c_43898,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38348,c_1582]) ).
tcf(c_43899,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_1542]) ).
tcf(c_43900,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38348,c_1541]) ).
tcf(c_43901,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_38348,c_6804]) ).
tcf(c_43902,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38348,c_3904]) ).
tcf(c_43903,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_38348,c_1358]) ).
tcf(c_44330,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_8874]) ).
tcf(c_44331,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_8873]) ).
tcf(c_44332,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_8814]) ).
tcf(c_44335,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_8813]) ).
tcf(c_44338,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_8347]) ).
tcf(c_44340,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_8346]) ).
tcf(c_44341,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7925]) ).
tcf(c_44342,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7924]) ).
tcf(c_44343,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7923]) ).
tcf(c_44344,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7922]) ).
tcf(c_44345,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7921]) ).
tcf(c_44348,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7630]) ).
tcf(c_44349,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7629]) ).
tcf(c_44350,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7628]) ).
tcf(c_44351,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7627]) ).
tcf(c_44352,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7626]) ).
tcf(c_44353,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7477]) ).
tcf(c_44354,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7476]) ).
tcf(c_44355,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7473]) ).
tcf(c_44356,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7296]) ).
tcf(c_44357,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7295]) ).
tcf(c_44358,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_7292]) ).
tcf(c_44359,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38350,c_26329]) ).
tcf(c_44360,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38350,c_27193]) ).
tcf(c_44361,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38350,c_26327]) ).
tcf(c_44362,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_20206]) ).
tcf(c_44363,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38350,c_20205]) ).
tcf(c_44364,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_27,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_38350,c_6807]) ).
tcf(c_44369,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_1718]) ).
tcf(c_44370,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38350,c_1717]) ).
tcf(c_44371,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_1705]) ).
tcf(c_44372,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38350,c_1704]) ).
tcf(c_44373,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_1596]) ).
tcf(c_44374,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38350,c_1595]) ).
tcf(c_44375,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_1583]) ).
tcf(c_44376,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38350,c_1582]) ).
tcf(c_44377,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_1542]) ).
tcf(c_44378,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38350,c_1541]) ).
tcf(c_44379,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_38350,c_6804]) ).
tcf(c_44380,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38350,c_3904]) ).
tcf(c_44381,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_38350,c_1358]) ).
tcf(c_44695,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_8933]) ).
tcf(c_44696,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_8933]) ).
tcf(c_44697,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_8933]) ).
tcf(c_44698,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_8933]) ).
tcf(c_44699,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_8933]) ).
tcf(c_44700,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_8933]) ).
tcf(c_44701,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_8933]) ).
tcf(c_44702,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_8933]) ).
tcf(c_44703,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_8933]) ).
tcf(c_44704,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_8933]) ).
tcf(c_44705,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_8933]) ).
tcf(c_44706,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_8933]) ).
tcf(c_44707,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_8933]) ).
tcf(c_44708,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_8933]) ).
tcf(c_44713,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8933,c_15741]) ).
tcf(c_44714,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8933,c_115]) ).
tcf(c_44716,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8933,c_19287]) ).
tcf(c_44718,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_44716,c_11706]) ).
tcf(c_44957,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_8934]) ).
tcf(c_44958,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_8934]) ).
tcf(c_44959,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_8934]) ).
tcf(c_44960,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_8934]) ).
tcf(c_44961,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_8934]) ).
tcf(c_44962,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_8934]) ).
tcf(c_44963,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_8934]) ).
tcf(c_44964,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_8934]) ).
tcf(c_44965,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_8934]) ).
tcf(c_44966,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_8934]) ).
tcf(c_44967,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_8934]) ).
tcf(c_44968,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_8934]) ).
tcf(c_44969,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_8934]) ).
tcf(c_44970,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_8934]) ).
tcf(c_44975,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8934,c_15741]) ).
tcf(c_44976,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_8934,c_115]) ).
tcf(c_44981,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8934,c_23175]) ).
tcf(c_44984,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8934,c_22996]) ).
tcf(c_45158,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_19,sk_c11) ) ),
inference(superposition,[status(thm)],[c_16791,c_7297]) ).
tcf(c_45159,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26344,c_7297]) ).
tcf(c_45160,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26342,c_7297]) ).
tcf(c_45199,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7297,c_15741]) ).
tcf(c_45200,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7297,c_115]) ).
tcf(c_45202,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7297,c_19287]) ).
tcf(c_45206,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(sk_c11,X0) ) ),
inference(light_normalisation,[status(thm)],[c_45202,c_11812]) ).
tcf(c_45232,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_32025,c_749]) ).
tcf(c_45233,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32025,c_15741]) ).
tcf(c_45234,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_32025,c_115]) ).
tcf(c_45235,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_32025,c_747]) ).
tcf(c_45236,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_32025,c_7199]) ).
tcf(c_45263,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_20889,c_15939]) ).
tcf(c_45264,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_20885,c_15939]) ).
tcf(c_45265,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_18678,c_15939]) ).
tcf(c_45266,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_4360,c_15939]) ).
tcf(c_45267,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_4276,c_15939]) ).
tcf(c_45268,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_4275,c_15939]) ).
tcf(c_45269,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_4180,c_15939]) ).
tcf(c_45270,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_4122,c_15939]) ).
tcf(c_45271,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_4016,c_15939]) ).
tcf(c_45272,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_25)) != sk_c10 )
| ( multiply(sk_c3,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15939,c_749]) ).
tcf(c_45273,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_25)),multiply(sk_c3,X0)) = X0,
inference(superposition,[status(thm)],[c_15939,c_15741]) ).
tcf(c_45274,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_25),multiply(X0,X1)) = multiply(multiply(sk_c3,X0),X1),
inference(superposition,[status(thm)],[c_15939,c_115]) ).
tcf(c_45275,plain,
multiply(sk_c3,iPr_def_25) = identity,
inference(superposition,[status(thm)],[c_15939,c_114]) ).
tcf(c_45276,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_25))) != inverse(X0) )
| ( multiply(sk_c3,inverse(X0)) != inverse(inverse(iPr_def_25)) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_15939,c_747]) ).
tcf(c_45277,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_25,X0)) = X0,
inference(superposition,[status(thm)],[c_15939,c_15741]) ).
tcf(c_45278,plain,
multiply(sk_c3,identity) = inverse(iPr_def_25),
inference(superposition,[status(thm)],[c_15939,c_16791]) ).
tcf(c_45297,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(inverse(iPr_def_25)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_45272,c_731]) ).
tcf(c_45351,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20889,c_45275]) ).
tcf(c_45352,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20885,c_45275]) ).
tcf(c_45353,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18678,c_45275]) ).
tcf(c_45354,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4360,c_45275]) ).
tcf(c_45355,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4276,c_45275]) ).
tcf(c_45356,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4275,c_45275]) ).
tcf(c_45357,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4180,c_45275]) ).
tcf(c_45358,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4122,c_45275]) ).
tcf(c_45359,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4016,c_45275]) ).
tcf(c_45360,plain,
multiply(inverse(sk_c3),identity) = iPr_def_25,
inference(superposition,[status(thm)],[c_45275,c_15741]) ).
tcf(c_45361,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_45275,c_115]) ).
tcf(c_45362,plain,
multiply(iPr_def_25,identity) = iPr_def_25,
inference(superposition,[status(thm)],[c_45275,c_3903]) ).
tcf(c_45468,plain,
inverse(iPr_def_25) = sk_c3,
inference(demodulation,[status(thm)],[c_45278,c_16791]) ).
tcf(c_45470,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_20889,c_45468]) ).
tcf(c_45471,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_20885,c_45468]) ).
tcf(c_45472,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_18678,c_45468]) ).
tcf(c_45473,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4360,c_45468]) ).
tcf(c_45474,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4276,c_45468]) ).
tcf(c_45475,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4275,c_45468]) ).
tcf(c_45476,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4180,c_45468]) ).
tcf(c_45477,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4122,c_45468]) ).
tcf(c_45478,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4016,c_45468]) ).
tcf(c_45481,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c12 )
| ( multiply(inverse(iPr_def_25),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45468,c_747]) ).
tcf(c_45500,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c12 != identity )
| ( multiply(sk_c3,sk_c11) != sk_c12 )
| ( inverse(inverse(X0)) != sk_c3 )
| ( multiply(X0,sk_c3) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_45481,c_1359,c_45468]) ).
tcf(c_45516,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm)],[c_1359,c_45277]) ).
tcf(c_45517,plain,
multiply(sk_c3,sk_c12) = iPr_def_15,
inference(superposition,[status(thm)],[c_6799,c_45277]) ).
tcf(c_45520,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20889,c_45277]) ).
tcf(c_45521,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20885,c_45277]) ).
tcf(c_45522,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18678,c_45277]) ).
tcf(c_45523,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4360,c_45277]) ).
tcf(c_45524,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4276,c_45277]) ).
tcf(c_45525,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4275,c_45277]) ).
tcf(c_45526,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4180,c_45277]) ).
tcf(c_45527,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4122,c_45277]) ).
tcf(c_45528,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4016,c_45277]) ).
tcf(c_45529,plain,
! [X0: $i] : multiply(inverse(sk_c3),X0) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_45277,c_15741]) ).
tcf(c_45530,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_45277,c_115]) ).
tcf(c_45669,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_9138]) ).
tcf(c_45670,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_9138]) ).
tcf(c_45671,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_9138]) ).
tcf(c_45672,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_9138]) ).
tcf(c_45673,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_9138]) ).
tcf(c_45674,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_9138]) ).
tcf(c_45675,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_9138]) ).
tcf(c_45676,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_9138]) ).
tcf(c_45677,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_9138]) ).
tcf(c_45678,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_9138]) ).
tcf(c_45679,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_9138]) ).
tcf(c_45680,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_9138]) ).
tcf(c_45681,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_9138]) ).
tcf(c_45682,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_9138]) ).
tcf(c_45687,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9138,c_15741]) ).
tcf(c_45688,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9138,c_115]) ).
tcf(c_45690,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9138,c_19287]) ).
tcf(c_45692,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_45690,c_11706]) ).
tcf(c_45777,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38350,c_9139]) ).
tcf(c_45778,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38348,c_9139]) ).
tcf(c_45779,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38295,c_9139]) ).
tcf(c_45780,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38294,c_9139]) ).
tcf(c_45781,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38065,c_9139]) ).
tcf(c_45782,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38063,c_9139]) ).
tcf(c_45783,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38006,c_9139]) ).
tcf(c_45784,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38004,c_9139]) ).
tcf(c_45785,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37930,c_9139]) ).
tcf(c_45786,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37929,c_9139]) ).
tcf(c_45787,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37778,c_9139]) ).
tcf(c_45788,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37776,c_9139]) ).
tcf(c_45789,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37403,c_9139]) ).
tcf(c_45790,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37402,c_9139]) ).
tcf(c_45795,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9139,c_15741]) ).
tcf(c_45796,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9139,c_115]) ).
tcf(c_45801,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9139,c_23175]) ).
tcf(c_45804,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9139,c_22996]) ).
tcf(c_45995,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9235]) ).
tcf(c_45996,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9235]) ).
tcf(c_45997,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9235]) ).
tcf(c_45998,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9235]) ).
tcf(c_45999,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9235]) ).
tcf(c_46000,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9235]) ).
tcf(c_46001,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9235]) ).
tcf(c_46013,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9235,c_15741]) ).
tcf(c_46014,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9235,c_115]) ).
tcf(c_46019,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9235,c_23175]) ).
tcf(c_46022,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9235,c_22996]) ).
tcf(c_46099,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9236]) ).
tcf(c_46100,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9236]) ).
tcf(c_46101,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9236]) ).
tcf(c_46102,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9236]) ).
tcf(c_46103,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9236]) ).
tcf(c_46104,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9236]) ).
tcf(c_46105,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9236]) ).
tcf(c_46117,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9236,c_15741]) ).
tcf(c_46118,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9236,c_115]) ).
tcf(c_46123,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9236,c_23175]) ).
tcf(c_46126,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9236,c_22996]) ).
tcf(c_46194,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9237]) ).
tcf(c_46195,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9237]) ).
tcf(c_46196,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9237]) ).
tcf(c_46197,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9237]) ).
tcf(c_46198,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9237]) ).
tcf(c_46199,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9237]) ).
tcf(c_46200,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9237]) ).
tcf(c_46212,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9237,c_15741]) ).
tcf(c_46213,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9237,c_115]) ).
tcf(c_46218,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9237,c_23175]) ).
tcf(c_46221,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9237,c_22996]) ).
tcf(c_46497,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9238]) ).
tcf(c_46498,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9238]) ).
tcf(c_46499,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9238]) ).
tcf(c_46500,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9238]) ).
tcf(c_46501,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9238]) ).
tcf(c_46502,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9238]) ).
tcf(c_46503,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9238]) ).
tcf(c_46515,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9238,c_15741]) ).
tcf(c_46516,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9238,c_115]) ).
tcf(c_46521,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9238,c_23175]) ).
tcf(c_46524,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9238,c_22996]) ).
tcf(c_46614,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9239]) ).
tcf(c_46615,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9239]) ).
tcf(c_46616,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9239]) ).
tcf(c_46617,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9239]) ).
tcf(c_46618,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9239]) ).
tcf(c_46619,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9239]) ).
tcf(c_46620,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9239]) ).
tcf(c_46632,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9239,c_15741]) ).
tcf(c_46633,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9239,c_115]) ).
tcf(c_46638,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9239,c_23175]) ).
tcf(c_46641,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9239,c_22996]) ).
tcf(c_46846,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7454,c_15741]) ).
tcf(c_46847,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7454,c_115]) ).
tcf(c_46849,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7454,c_23181]) ).
tcf(c_46850,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7454,c_23179]) ).
tcf(c_46851,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7454,c_23177]) ).
tcf(c_46852,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7454,c_23175]) ).
tcf(c_46854,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7454,c_23171]) ).
tcf(c_46855,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7454,c_22996]) ).
tcf(c_46904,plain,
! [X0: $i] : multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(sk_c12,X0))) = X0,
inference(superposition,[status(thm)],[c_23752,c_15772]) ).
tcf(c_46906,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(sk_c12,X0))) = X0,
inference(superposition,[status(thm)],[c_18271,c_15772]) ).
tcf(c_46908,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(sk_c11,X0))) = X0,
inference(superposition,[status(thm)],[c_18696,c_15772]) ).
tcf(c_46910,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_20047,c_15772]) ).
tcf(c_46912,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(sk_c11,X0))) = X0,
inference(superposition,[status(thm)],[c_734,c_15772]) ).
tcf(c_46913,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_21749,c_15772]) ).
tcf(c_46915,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(sk_c11,X0))) = X0,
inference(superposition,[status(thm)],[c_27206,c_15772]) ).
tcf(c_46917,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(sk_c12,X0))) = X0,
inference(superposition,[status(thm)],[c_731,c_15772]) ).
tcf(c_46918,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(identity,multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_113,c_15772]) ).
tcf(c_46919,plain,
! [X0: $i,X1: $i] : multiply(inverse(identity),multiply(inverse(X0),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_114,c_15772]) ).
tcf(c_46920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),multiply(X2,X3))) = X3,
inference(superposition,[status(thm)],[c_115,c_15772]) ).
tcf(c_46921,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2784,c_15772]) ).
tcf(c_46922,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2341,c_15772]) ).
tcf(c_46923,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1898,c_15772]) ).
tcf(c_46924,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1560,c_15772]) ).
tcf(c_46925,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1322,c_15772]) ).
tcf(c_46926,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1196,c_15772]) ).
tcf(c_46927,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2655,c_15772]) ).
tcf(c_46928,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2278,c_15772]) ).
tcf(c_46929,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1764,c_15772]) ).
tcf(c_46930,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1513,c_15772]) ).
tcf(c_46931,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1262,c_15772]) ).
tcf(c_46932,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c8,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1197,c_15772]) ).
tcf(c_46933,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2782,c_15772]) ).
tcf(c_46934,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2339,c_15772]) ).
tcf(c_46935,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1896,c_15772]) ).
tcf(c_46936,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1558,c_15772]) ).
tcf(c_46937,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1330,c_15772]) ).
tcf(c_46938,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1328,c_15772]) ).
tcf(c_46939,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2653,c_15772]) ).
tcf(c_46940,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2276,c_15772]) ).
tcf(c_46941,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1762,c_15772]) ).
tcf(c_46942,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1511,c_15772]) ).
tcf(c_46943,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1331,c_15772]) ).
tcf(c_46944,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1329,c_15772]) ).
tcf(c_46945,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c6,multiply(iPr_def_19,X0))) = X0,
inference(superposition,[status(thm)],[c_19285,c_15772]) ).
tcf(c_46946,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2652,c_15772]) ).
tcf(c_46947,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2275,c_15772]) ).
tcf(c_46948,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1761,c_15772]) ).
tcf(c_46949,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1510,c_15772]) ).
tcf(c_46950,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1343,c_15772]) ).
tcf(c_46951,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c6,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1341,c_15772]) ).
tcf(c_46952,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_23,multiply(sk_c4,X0))) = X0,
inference(superposition,[status(thm)],[c_1352,c_15772]) ).
tcf(c_46953,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_21,multiply(sk_c5,X0))) = X0,
inference(superposition,[status(thm)],[c_1353,c_15772]) ).
tcf(c_46954,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_19,multiply(sk_c6,X0))) = X0,
inference(superposition,[status(thm)],[c_1354,c_15772]) ).
tcf(c_46955,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_17,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_1355,c_15772]) ).
tcf(c_46956,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_16,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_1356,c_15772]) ).
tcf(c_46957,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_28,multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_1357,c_15772]) ).
tcf(c_46958,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_26,multiply(sk_c2,X0))) = X0,
inference(superposition,[status(thm)],[c_1358,c_15772]) ).
tcf(c_46959,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0,
inference(superposition,[status(thm)],[c_1359,c_15772]) ).
tcf(c_46960,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c2,multiply(iPr_def_26,X0))) = X0,
inference(superposition,[status(thm)],[c_26327,c_15772]) ).
tcf(c_46961,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_20205,c_15772]) ).
tcf(c_46962,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4482,c_15772]) ).
tcf(c_46963,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4420,c_15772]) ).
tcf(c_46964,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1717,c_15772]) ).
tcf(c_46965,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1704,c_15772]) ).
tcf(c_46966,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1595,c_15772]) ).
tcf(c_46967,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1582,c_15772]) ).
tcf(c_46968,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1541,c_15772]) ).
tcf(c_46969,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_20206,c_15772]) ).
tcf(c_46970,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4483,c_15772]) ).
tcf(c_46971,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4421,c_15772]) ).
tcf(c_46972,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1718,c_15772]) ).
tcf(c_46973,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1705,c_15772]) ).
tcf(c_46974,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1596,c_15772]) ).
tcf(c_46975,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1583,c_15772]) ).
tcf(c_46976,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1542,c_15772]) ).
tcf(c_46977,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2615,c_15772]) ).
tcf(c_46978,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2230,c_15772]) ).
tcf(c_46979,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2228,c_15772]) ).
tcf(c_46980,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2226,c_15772]) ).
tcf(c_46981,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2224,c_15772]) ).
tcf(c_46982,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2222,c_15772]) ).
tcf(c_46983,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2689,c_15772]) ).
tcf(c_46984,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2295,c_15772]) ).
tcf(c_46985,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2229,c_15772]) ).
tcf(c_46986,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2227,c_15772]) ).
tcf(c_46987,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2225,c_15772]) ).
tcf(c_46988,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2223,c_15772]) ).
tcf(c_46989,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c1,multiply(iPr_def_28,X0))) = X0,
inference(superposition,[status(thm)],[c_23693,c_15772]) ).
tcf(c_46990,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19608,c_15772]) ).
tcf(c_46991,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_18776,c_15772]) ).
tcf(c_46992,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6038,c_15772]) ).
tcf(c_46993,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5927,c_15772]) ).
tcf(c_46994,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5860,c_15772]) ).
tcf(c_46995,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2537,c_15772]) ).
tcf(c_46996,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2362,c_15772]) ).
tcf(c_46997,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2318,c_15772]) ).
tcf(c_46998,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19609,c_15772]) ).
tcf(c_46999,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_18777,c_15772]) ).
tcf(c_47000,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6039,c_15772]) ).
tcf(c_47001,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5928,c_15772]) ).
tcf(c_47002,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5861,c_15772]) ).
tcf(c_47003,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2538,c_15772]) ).
tcf(c_47004,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2363,c_15772]) ).
tcf(c_47005,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2319,c_15772]) ).
tcf(c_47006,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_28090,c_15772]) ).
tcf(c_47007,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6423,c_15772]) ).
tcf(c_47008,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5124,c_15772]) ).
tcf(c_47009,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4973,c_15772]) ).
tcf(c_47010,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4238,c_15772]) ).
tcf(c_47011,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2389,c_15772]) ).
tcf(c_47012,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c5,multiply(iPr_def_21,X0))) = X0,
inference(superposition,[status(thm)],[c_18506,c_15772]) ).
tcf(c_47013,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_28092,c_15772]) ).
tcf(c_47014,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6425,c_15772]) ).
tcf(c_47015,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5126,c_15772]) ).
tcf(c_47016,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4975,c_15772]) ).
tcf(c_47017,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4240,c_15772]) ).
tcf(c_47018,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2391,c_15772]) ).
tcf(c_47019,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_27339,c_15772]) ).
tcf(c_47020,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6741,c_15772]) ).
tcf(c_47021,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5801,c_15772]) ).
tcf(c_47022,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5681,c_15772]) ).
tcf(c_47023,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4373,c_15772]) ).
tcf(c_47024,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2570,c_15772]) ).
tcf(c_47025,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_27340,c_15772]) ).
tcf(c_47026,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6742,c_15772]) ).
tcf(c_47027,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5802,c_15772]) ).
tcf(c_47028,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5682,c_15772]) ).
tcf(c_47029,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4374,c_15772]) ).
tcf(c_47030,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2571,c_15772]) ).
tcf(c_47031,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_27341,c_15772]) ).
tcf(c_47032,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6743,c_15772]) ).
tcf(c_47033,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5803,c_15772]) ).
tcf(c_47034,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5683,c_15772]) ).
tcf(c_47035,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4375,c_15772]) ).
tcf(c_47036,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2572,c_15772]) ).
tcf(c_47037,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19439,c_15772]) ).
tcf(c_47038,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6264,c_15772]) ).
tcf(c_47039,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6115,c_15772]) ).
tcf(c_47040,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3182,c_15772]) ).
tcf(c_47041,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3135,c_15772]) ).
tcf(c_47042,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2918,c_15772]) ).
tcf(c_47043,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2821,c_15772]) ).
tcf(c_47044,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_27),multiply(sk_c2,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2720,c_15772]) ).
tcf(c_47045,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19440,c_15772]) ).
tcf(c_47046,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6265,c_15772]) ).
tcf(c_47047,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6116,c_15772]) ).
tcf(c_47048,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3183,c_15772]) ).
tcf(c_47049,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3136,c_15772]) ).
tcf(c_47050,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2919,c_15772]) ).
tcf(c_47051,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2822,c_15772]) ).
tcf(c_47052,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2721,c_15772]) ).
tcf(c_47053,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19441,c_15772]) ).
tcf(c_47054,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6266,c_15772]) ).
tcf(c_47055,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6117,c_15772]) ).
tcf(c_47056,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3184,c_15772]) ).
tcf(c_47057,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3137,c_15772]) ).
tcf(c_47058,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2920,c_15772]) ).
tcf(c_47059,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2823,c_15772]) ).
tcf(c_47060,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(sk_c9,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2722,c_15772]) ).
tcf(c_47061,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c3,multiply(iPr_def_25,X0))) = X0,
inference(superposition,[status(thm)],[c_45275,c_15772]) ).
tcf(c_47062,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c7,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_22994,c_15772]) ).
tcf(c_47063,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_21648,c_15772]) ).
tcf(c_47064,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c4,multiply(iPr_def_23,X0))) = X0,
inference(superposition,[status(thm)],[c_18224,c_15772]) ).
tcf(c_47065,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(X0),multiply(iPr_def_29,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_26217,c_15772]) ).
tcf(c_47066,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_29,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_26153,c_15772]) ).
tcf(c_47067,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(X0),multiply(iPr_def_29,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_26096,c_15772]) ).
tcf(c_47068,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_29,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_25674,c_15772]) ).
tcf(c_47069,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_29,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_24267,c_15772]) ).
tcf(c_47070,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_29,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_24189,c_15772]) ).
tcf(c_47071,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_29,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_24132,c_15772]) ).
tcf(c_47072,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_29,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_24075,c_15772]) ).
tcf(c_47073,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_29,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23853,c_15772]) ).
tcf(c_47074,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_29,X0)),multiply(sk_c1,multiply(multiply(sk_c12,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3878,c_15772]) ).
tcf(c_47075,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_31769,c_15772]) ).
tcf(c_47076,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_18422,c_15772]) ).
tcf(c_47077,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_18407,c_15772]) ).
tcf(c_47078,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_18382,c_15772]) ).
tcf(c_47079,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_18367,c_15772]) ).
tcf(c_47080,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(sk_c4,multiply(multiply(sk_c12,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3879,c_15772]) ).
tcf(c_47081,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_32025,c_15772]) ).
tcf(c_47082,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_18684,c_15772]) ).
tcf(c_47083,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_18649,c_15772]) ).
tcf(c_47084,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_18624,c_15772]) ).
tcf(c_47085,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_18596,c_15772]) ).
tcf(c_47086,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_22,X0)),multiply(sk_c5,multiply(multiply(sk_c11,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3880,c_15772]) ).
tcf(c_47087,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_28511,c_15772]) ).
tcf(c_47088,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_20930,c_15772]) ).
tcf(c_47089,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_20895,c_15772]) ).
tcf(c_47090,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_20860,c_15772]) ).
tcf(c_47091,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_20819,c_15772]) ).
tcf(c_47092,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c6,multiply(multiply(sk_c9,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3881,c_15772]) ).
tcf(c_47093,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_18,X0)),multiply(sk_c9,multiply(multiply(sk_c11,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3882,c_15772]) ).
tcf(c_47094,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c8,multiply(multiply(sk_c9,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3883,c_15772]) ).
tcf(c_47095,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_30868,c_15772]) ).
tcf(c_47096,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_30745,c_15772]) ).
tcf(c_47097,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_30604,c_15772]) ).
tcf(c_47098,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_30451,c_15772]) ).
tcf(c_47099,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_29976,c_15772]) ).
tcf(c_47100,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_29360,c_15772]) ).
tcf(c_47101,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_27039,c_15772]) ).
tcf(c_47102,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_26906,c_15772]) ).
tcf(c_47103,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_26808,c_15772]) ).
tcf(c_47104,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_27,X0)),multiply(sk_c2,multiply(multiply(sk_c11,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3884,c_15772]) ).
tcf(c_47105,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(sk_c3,multiply(multiply(sk_c12,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3885,c_15772]) ).
tcf(c_47106,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(inverse(X1),multiply(multiply(X1,X0),X2))) = X2,
inference(superposition,[status(thm)],[c_15741,c_15772]) ).
tcf(c_47107,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c8,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_7261,c_15772]) ).
tcf(c_47108,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c8,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_3889,c_15772]) ).
tcf(c_47109,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_23,multiply(multiply(sk_c4,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3910,c_15772]) ).
tcf(c_47110,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_21,multiply(multiply(sk_c5,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3909,c_15772]) ).
tcf(c_47111,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_19,multiply(multiply(sk_c6,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3908,c_15772]) ).
tcf(c_47112,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_17,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3907,c_15772]) ).
tcf(c_47113,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(sk_c7,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3906,c_15772]) ).
tcf(c_47114,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_28,multiply(multiply(sk_c1,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3905,c_15772]) ).
tcf(c_47115,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_26,multiply(multiply(sk_c2,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3904,c_15772]) ).
tcf(c_47116,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(sk_c3,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_3903,c_15772]) ).
tcf(c_47117,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_28367,c_15772]) ).
tcf(c_47118,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_25602,c_15772]) ).
tcf(c_47119,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6184,c_15772]) ).
tcf(c_47120,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4714,c_15772]) ).
tcf(c_47121,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4621,c_15772]) ).
tcf(c_47122,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4078,c_15772]) ).
tcf(c_47123,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_28368,c_15772]) ).
tcf(c_47124,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_25603,c_15772]) ).
tcf(c_47125,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6185,c_15772]) ).
tcf(c_47126,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4715,c_15772]) ).
tcf(c_47127,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4622,c_15772]) ).
tcf(c_47128,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4079,c_15772]) ).
tcf(c_47129,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_28369,c_15772]) ).
tcf(c_47130,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_25604,c_15772]) ).
tcf(c_47131,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6186,c_15772]) ).
tcf(c_47132,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4716,c_15772]) ).
tcf(c_47133,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4623,c_15772]) ).
tcf(c_47134,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4080,c_15772]) ).
tcf(c_47135,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_28250,c_15772]) ).
tcf(c_47136,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24654,c_15772]) ).
tcf(c_47137,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6322,c_15772]) ).
tcf(c_47138,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4870,c_15772]) ).
tcf(c_47139,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4810,c_15772]) ).
tcf(c_47140,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4186,c_15772]) ).
tcf(c_47141,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_28251,c_15772]) ).
tcf(c_47142,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24655,c_15772]) ).
tcf(c_47143,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6323,c_15772]) ).
tcf(c_47144,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4871,c_15772]) ).
tcf(c_47145,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4811,c_15772]) ).
tcf(c_47146,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4187,c_15772]) ).
tcf(c_47147,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_28252,c_15772]) ).
tcf(c_47148,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24656,c_15772]) ).
tcf(c_47149,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6324,c_15772]) ).
tcf(c_47150,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4872,c_15772]) ).
tcf(c_47151,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4812,c_15772]) ).
tcf(c_47152,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4188,c_15772]) ).
tcf(c_47153,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_27799,c_15772]) ).
tcf(c_47154,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24385,c_15772]) ).
tcf(c_47155,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6644,c_15772]) ).
tcf(c_47156,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5613,c_15772]) ).
tcf(c_47157,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5519,c_15772]) ).
tcf(c_47158,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4282,c_15772]) ).
tcf(c_47159,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_27801,c_15772]) ).
tcf(c_47160,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_24387,c_15772]) ).
tcf(c_47161,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6646,c_15772]) ).
tcf(c_47162,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5615,c_15772]) ).
tcf(c_47163,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5521,c_15772]) ).
tcf(c_47164,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4284,c_15772]) ).
tcf(c_47165,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c8,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_7249,c_15772]) ).
tcf(c_47166,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c8,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_4936,c_15772]) ).
tcf(c_47167,plain,
! [X0: $i] : multiply(inverse(sk_c12),multiply(iPr_def_25,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_6799,c_15772]) ).
tcf(c_47168,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c12,X0)),multiply(iPr_def_25,multiply(multiply(iPr_def_15,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_6802,c_15772]) ).
tcf(c_47169,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(iPr_def_26,multiply(iPr_def_27,X0))) = X0,
inference(superposition,[status(thm)],[c_6804,c_15772]) ).
tcf(c_47170,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c11,X0)),multiply(iPr_def_26,multiply(multiply(iPr_def_27,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_6807,c_15772]) ).
tcf(c_47171,plain,
! [X0: $i] : multiply(inverse(sk_c12),multiply(iPr_def_28,multiply(iPr_def_29,X0))) = X0,
inference(superposition,[status(thm)],[c_6809,c_15772]) ).
tcf(c_47172,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c12,X0)),multiply(iPr_def_28,multiply(multiply(iPr_def_29,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_6812,c_15772]) ).
tcf(c_47173,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6824,c_15772]) ).
tcf(c_47174,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6822,c_15772]) ).
tcf(c_47175,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6820,c_15772]) ).
tcf(c_47176,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6818,c_15772]) ).
tcf(c_47177,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6816,c_15772]) ).
tcf(c_47178,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6814,c_15772]) ).
tcf(c_47179,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6825,c_15772]) ).
tcf(c_47180,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6823,c_15772]) ).
tcf(c_47181,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6821,c_15772]) ).
tcf(c_47182,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6819,c_15772]) ).
tcf(c_47183,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6817,c_15772]) ).
tcf(c_47184,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6815,c_15772]) ).
tcf(c_47185,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(iPr_def_17,multiply(iPr_def_14,X0))) = X0,
inference(superposition,[status(thm)],[c_7113,c_15772]) ).
tcf(c_47186,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(iPr_def_17,multiply(multiply(iPr_def_14,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_7189,c_15772]) ).
tcf(c_47187,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(iPr_def_19,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_7191,c_15772]) ).
tcf(c_47188,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(iPr_def_19,multiply(multiply(iPr_def_20,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_7194,c_15772]) ).
tcf(c_47189,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(iPr_def_21,multiply(iPr_def_22,X0))) = X0,
inference(superposition,[status(thm)],[c_7196,c_15772]) ).
tcf(c_47190,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c11,X0)),multiply(iPr_def_21,multiply(multiply(iPr_def_22,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_7199,c_15772]) ).
tcf(c_47191,plain,
! [X0: $i] : multiply(inverse(sk_c12),multiply(iPr_def_23,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_7201,c_15772]) ).
tcf(c_47192,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c12,X0)),multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_7204,c_15772]) ).
tcf(c_47193,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7283,c_15772]) ).
tcf(c_47194,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7278,c_15772]) ).
tcf(c_47195,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7277,c_15772]) ).
tcf(c_47196,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7273,c_15772]) ).
tcf(c_47197,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_10039,c_15772]) ).
tcf(c_47198,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7284,c_15772]) ).
tcf(c_47199,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7280,c_15772]) ).
tcf(c_47200,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7279,c_15772]) ).
tcf(c_47201,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7274,c_15772]) ).
tcf(c_47202,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_10040,c_15772]) ).
tcf(c_47203,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7623,c_15772]) ).
tcf(c_47204,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7622,c_15772]) ).
tcf(c_47205,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7621,c_15772]) ).
tcf(c_47206,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7620,c_15772]) ).
tcf(c_47207,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7619,c_15772]) ).
tcf(c_47208,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7289,c_15772]) ).
tcf(c_47209,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7288,c_15772]) ).
tcf(c_47210,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7285,c_15772]) ).
tcf(c_47211,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9138,c_15772]) ).
tcf(c_47212,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8933,c_15772]) ).
tcf(c_47213,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8873,c_15772]) ).
tcf(c_47214,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8813,c_15772]) ).
tcf(c_47215,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8346,c_15772]) ).
tcf(c_47216,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7630,c_15772]) ).
tcf(c_47217,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7629,c_15772]) ).
tcf(c_47218,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7628,c_15772]) ).
tcf(c_47219,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7627,c_15772]) ).
tcf(c_47220,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7626,c_15772]) ).
tcf(c_47221,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7296,c_15772]) ).
tcf(c_47222,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7295,c_15772]) ).
tcf(c_47223,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7292,c_15772]) ).
tcf(c_47224,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(iPr_def_19,multiply(multiply(sk_c11,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_7297,c_15772]) ).
tcf(c_47225,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7454,c_15772]) ).
tcf(c_47226,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9901,c_15772]) ).
tcf(c_47227,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9902,c_15772]) ).
tcf(c_47228,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9239,c_15772]) ).
tcf(c_47229,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9238,c_15772]) ).
tcf(c_47230,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9237,c_15772]) ).
tcf(c_47231,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9236,c_15772]) ).
tcf(c_47232,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9235,c_15772]) ).
tcf(c_47233,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7918,c_15772]) ).
tcf(c_47234,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7917,c_15772]) ).
tcf(c_47235,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7916,c_15772]) ).
tcf(c_47236,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7915,c_15772]) ).
tcf(c_47237,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7914,c_15772]) ).
tcf(c_47238,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7470,c_15772]) ).
tcf(c_47239,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7469,c_15772]) ).
tcf(c_47240,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7466,c_15772]) ).
tcf(c_47241,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9139,c_15772]) ).
tcf(c_47242,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8934,c_15772]) ).
tcf(c_47243,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8874,c_15772]) ).
tcf(c_47244,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8814,c_15772]) ).
tcf(c_47245,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8347,c_15772]) ).
tcf(c_47246,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7925,c_15772]) ).
tcf(c_47247,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7924,c_15772]) ).
tcf(c_47248,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7923,c_15772]) ).
tcf(c_47249,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7922,c_15772]) ).
tcf(c_47250,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7921,c_15772]) ).
tcf(c_47251,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7477,c_15772]) ).
tcf(c_47252,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7476,c_15772]) ).
tcf(c_47253,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7473,c_15772]) ).
tcf(c_47254,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c6,multiply(multiply(iPr_def_19,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_19287,c_15772]) ).
tcf(c_47255,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c12),multiply(iPr_def_15,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8031,c_15772]) ).
tcf(c_47256,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c2,multiply(multiply(iPr_def_26,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_26329,c_15772]) ).
tcf(c_47257,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c1,multiply(multiply(iPr_def_28,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_23695,c_15772]) ).
tcf(c_47258,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c5,multiply(multiply(iPr_def_21,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_18508,c_15772]) ).
tcf(c_47259,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c4,multiply(multiply(iPr_def_23,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_18226,c_15772]) ).
tcf(c_47260,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c11)),multiply(sk_c6,multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_11706,c_15772]) ).
tcf(c_47261,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_14,sk_c11)),multiply(sk_c8,multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_12297,c_15772]) ).
tcf(c_47262,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(inverse(sk_c9),multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_15766,c_15772]) ).
tcf(c_47264,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,multiply(identity,X1))) = X1,
inference(superposition,[status(thm)],[c_16791,c_15772]) ).
tcf(c_47265,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c8,multiply(multiply(iPr_def_17,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_21650,c_15772]) ).
tcf(c_47266,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c7,multiply(multiply(iPr_def_16,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_22996,c_15772]) ).
tcf(c_47267,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23038,c_15772]) ).
tcf(c_47268,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23036,c_15772]) ).
tcf(c_47269,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23034,c_15772]) ).
tcf(c_47270,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23032,c_15772]) ).
tcf(c_47271,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23030,c_15772]) ).
tcf(c_47272,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23028,c_15772]) ).
tcf(c_47273,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23181,c_15772]) ).
tcf(c_47274,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23179,c_15772]) ).
tcf(c_47275,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23177,c_15772]) ).
tcf(c_47276,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23175,c_15772]) ).
tcf(c_47277,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23173,c_15772]) ).
tcf(c_47278,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23171,c_15772]) ).
tcf(c_47279,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c3,multiply(multiply(iPr_def_25,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_45277,c_15772]) ).
tcf(c_47280,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(identity,X0)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_113,c_15772]) ).
tcf(c_47281,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),identity) = X1,
inference(superposition,[status(thm)],[c_114,c_15772]) ).
tcf(c_47282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(superposition,[status(thm)],[c_115,c_15772]) ).
tcf(c_47283,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26217,c_15772]) ).
tcf(c_47284,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26153,c_15772]) ).
tcf(c_47285,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26096,c_15772]) ).
tcf(c_47286,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_25674,c_15772]) ).
tcf(c_47287,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_29,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24267,c_15772]) ).
tcf(c_47288,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_29,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24189,c_15772]) ).
tcf(c_47289,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24132,c_15772]) ).
tcf(c_47290,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_29,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24075,c_15772]) ).
tcf(c_47291,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_23853,c_15772]) ).
tcf(c_47292,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,sk_c12)),multiply(iPr_def_29,X0)) = X0,
inference(superposition,[status(thm)],[c_3878,c_15772]) ).
tcf(c_47293,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_31769,c_15772]) ).
tcf(c_47294,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18422,c_15772]) ).
tcf(c_47295,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18407,c_15772]) ).
tcf(c_47296,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18382,c_15772]) ).
tcf(c_47297,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18367,c_15772]) ).
tcf(c_47298,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,sk_c12)),multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_3879,c_15772]) ).
tcf(c_47299,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_32025,c_15772]) ).
tcf(c_47300,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18684,c_15772]) ).
tcf(c_47301,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18649,c_15772]) ).
tcf(c_47302,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18624,c_15772]) ).
tcf(c_47303,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18596,c_15772]) ).
tcf(c_47304,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,sk_c11)),multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_3880,c_15772]) ).
tcf(c_47305,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_28511,c_15772]) ).
tcf(c_47306,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_20930,c_15772]) ).
tcf(c_47307,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_20895,c_15772]) ).
tcf(c_47308,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_20860,c_15772]) ).
tcf(c_47309,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_20819,c_15772]) ).
tcf(c_47310,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,sk_c9)),multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_3881,c_15772]) ).
tcf(c_47311,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c9,sk_c11)),multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_3882,c_15772]) ).
tcf(c_47312,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,sk_c9)),multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_3883,c_15772]) ).
tcf(c_47313,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_30868,c_15772]) ).
tcf(c_47314,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_30745,c_15772]) ).
tcf(c_47315,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_30604,c_15772]) ).
tcf(c_47316,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_30451,c_15772]) ).
tcf(c_47317,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_29976,c_15772]) ).
tcf(c_47318,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_29360,c_15772]) ).
tcf(c_47319,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_27039,c_15772]) ).
tcf(c_47320,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26906,c_15772]) ).
tcf(c_47321,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26808,c_15772]) ).
tcf(c_47322,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,sk_c11)),multiply(iPr_def_27,X0)) = X0,
inference(superposition,[status(thm)],[c_3884,c_15772]) ).
tcf(c_47323,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,sk_c12)),multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_3885,c_15772]) ).
tcf(c_47324,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_15741,c_15772]) ).
tcf(c_47325,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,iPr_def_19)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7261,c_15772]) ).
tcf(c_47326,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,iPr_def_19)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3889,c_15772]) ).
tcf(c_47327,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,sk_c4)),X0) = X0,
inference(superposition,[status(thm)],[c_3910,c_15772]) ).
tcf(c_47328,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,sk_c5)),X0) = X0,
inference(superposition,[status(thm)],[c_3909,c_15772]) ).
tcf(c_47329,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,sk_c6)),X0) = X0,
inference(superposition,[status(thm)],[c_3908,c_15772]) ).
tcf(c_47330,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,sk_c8)),X0) = X0,
inference(superposition,[status(thm)],[c_3907,c_15772]) ).
tcf(c_47331,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c7)),X0) = X0,
inference(superposition,[status(thm)],[c_3906,c_15772]) ).
tcf(c_47332,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,sk_c1)),X0) = X0,
inference(superposition,[status(thm)],[c_3905,c_15772]) ).
tcf(c_47333,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_26,sk_c2)),X0) = X0,
inference(superposition,[status(thm)],[c_3904,c_15772]) ).
tcf(c_47334,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,sk_c3)),X0) = X0,
inference(superposition,[status(thm)],[c_3903,c_15772]) ).
tcf(c_47335,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,iPr_def_16)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7249,c_15772]) ).
tcf(c_47336,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,iPr_def_16)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4936,c_15772]) ).
tcf(c_47337,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,iPr_def_15)),multiply(sk_c12,X0)) = X0,
inference(superposition,[status(thm)],[c_6802,c_15772]) ).
tcf(c_47338,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_26,iPr_def_27)),multiply(sk_c11,X0)) = X0,
inference(superposition,[status(thm)],[c_6807,c_15772]) ).
tcf(c_47339,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,iPr_def_29)),multiply(sk_c12,X0)) = X0,
inference(superposition,[status(thm)],[c_6812,c_15772]) ).
tcf(c_47340,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6824,c_15772]) ).
tcf(c_47341,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6822,c_15772]) ).
tcf(c_47342,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6820,c_15772]) ).
tcf(c_47343,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6818,c_15772]) ).
tcf(c_47344,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6816,c_15772]) ).
tcf(c_47345,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6814,c_15772]) ).
tcf(c_47346,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6825,c_15772]) ).
tcf(c_47347,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6823,c_15772]) ).
tcf(c_47348,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6821,c_15772]) ).
tcf(c_47349,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6819,c_15772]) ).
tcf(c_47350,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6817,c_15772]) ).
tcf(c_47351,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6815,c_15772]) ).
tcf(c_47352,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,iPr_def_14)),multiply(sk_c9,X0)) = X0,
inference(superposition,[status(thm)],[c_7189,c_15772]) ).
tcf(c_47353,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,iPr_def_20)),multiply(sk_c9,X0)) = X0,
inference(superposition,[status(thm)],[c_7194,c_15772]) ).
tcf(c_47354,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,iPr_def_22)),multiply(sk_c11,X0)) = X0,
inference(superposition,[status(thm)],[c_7199,c_15772]) ).
tcf(c_47355,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,iPr_def_24)),multiply(sk_c12,X0)) = X0,
inference(superposition,[status(thm)],[c_7204,c_15772]) ).
tcf(c_47356,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,sk_c11)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7297,c_15772]) ).
tcf(c_47357,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,iPr_def_19)),X0) = X0,
inference(superposition,[status(thm)],[c_19287,c_15772]) ).
tcf(c_47358,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,iPr_def_26)),X0) = X0,
inference(superposition,[status(thm)],[c_26329,c_15772]) ).
tcf(c_47359,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,iPr_def_28)),X0) = X0,
inference(superposition,[status(thm)],[c_23695,c_15772]) ).
tcf(c_47360,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,iPr_def_21)),X0) = X0,
inference(superposition,[status(thm)],[c_18508,c_15772]) ).
tcf(c_47361,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,iPr_def_23)),X0) = X0,
inference(superposition,[status(thm)],[c_18226,c_15772]) ).
tcf(c_47363,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,iPr_def_17)),X0) = X0,
inference(superposition,[status(thm)],[c_21650,c_15772]) ).
tcf(c_47364,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,iPr_def_16)),X0) = X0,
inference(superposition,[status(thm)],[c_22996,c_15772]) ).
tcf(c_47365,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23181,c_15772]) ).
tcf(c_47366,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23179,c_15772]) ).
tcf(c_47367,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23177,c_15772]) ).
tcf(c_47368,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23175,c_15772]) ).
tcf(c_47369,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23173,c_15772]) ).
tcf(c_47370,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23171,c_15772]) ).
tcf(c_47371,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,iPr_def_25)),X0) = X0,
inference(superposition,[status(thm)],[c_45277,c_15772]) ).
tcf(c_47372,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = sk_c12,
inference(superposition,[status(thm)],[c_23752,c_15772]) ).
tcf(c_47374,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = sk_c12,
inference(superposition,[status(thm)],[c_18271,c_15772]) ).
tcf(c_47376,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = sk_c11,
inference(superposition,[status(thm)],[c_18696,c_15772]) ).
tcf(c_47378,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = sk_c9,
inference(superposition,[status(thm)],[c_20047,c_15772]) ).
tcf(c_47380,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_734,c_15772]) ).
tcf(c_47381,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_21749,c_15772]) ).
tcf(c_47383,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = sk_c11,
inference(superposition,[status(thm)],[c_27206,c_15772]) ).
tcf(c_47385,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = sk_c12,
inference(superposition,[status(thm)],[c_731,c_15772]) ).
tcf(c_47386,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,identity)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_113,c_15772]) ).
tcf(c_47387,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,identity)) = X1,
inference(superposition,[status(thm)],[c_114,c_15772]) ).
tcf(c_47388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(superposition,[status(thm)],[c_115,c_15772]) ).
tcf(c_47389,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2784,c_15772]) ).
tcf(c_47390,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2341,c_15772]) ).
tcf(c_47391,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1898,c_15772]) ).
tcf(c_47392,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1560,c_15772]) ).
tcf(c_47393,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1322,c_15772]) ).
tcf(c_47394,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1196,c_15772]) ).
tcf(c_47395,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2655,c_15772]) ).
tcf(c_47396,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2278,c_15772]) ).
tcf(c_47397,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1764,c_15772]) ).
tcf(c_47398,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1513,c_15772]) ).
tcf(c_47399,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1262,c_15772]) ).
tcf(c_47400,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1197,c_15772]) ).
tcf(c_47401,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2782,c_15772]) ).
tcf(c_47402,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2339,c_15772]) ).
tcf(c_47403,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1896,c_15772]) ).
tcf(c_47404,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1558,c_15772]) ).
tcf(c_47405,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1330,c_15772]) ).
tcf(c_47406,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1328,c_15772]) ).
tcf(c_47407,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2653,c_15772]) ).
tcf(c_47408,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_2276,c_15772]) ).
tcf(c_47409,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1762,c_15772]) ).
tcf(c_47410,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1511,c_15772]) ).
tcf(c_47411,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1331,c_15772]) ).
tcf(c_47412,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1329,c_15772]) ).
tcf(c_47413,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,identity)) = iPr_def_19,
inference(superposition,[status(thm)],[c_19285,c_15772]) ).
tcf(c_47414,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2652,c_15772]) ).
tcf(c_47415,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2275,c_15772]) ).
tcf(c_47416,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1761,c_15772]) ).
tcf(c_47417,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1510,c_15772]) ).
tcf(c_47418,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1343,c_15772]) ).
tcf(c_47419,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_20)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1341,c_15772]) ).
tcf(c_47420,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = sk_c4,
inference(superposition,[status(thm)],[c_1352,c_15772]) ).
tcf(c_47421,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,identity)) = sk_c5,
inference(superposition,[status(thm)],[c_1353,c_15772]) ).
tcf(c_47422,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,identity)) = sk_c6,
inference(superposition,[status(thm)],[c_1354,c_15772]) ).
tcf(c_47423,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,identity)) = sk_c8,
inference(superposition,[status(thm)],[c_1355,c_15772]) ).
tcf(c_47424,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = sk_c7,
inference(superposition,[status(thm)],[c_1356,c_15772]) ).
tcf(c_47425,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = sk_c1,
inference(superposition,[status(thm)],[c_1357,c_15772]) ).
tcf(c_47426,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = sk_c2,
inference(superposition,[status(thm)],[c_1358,c_15772]) ).
tcf(c_47427,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = sk_c3,
inference(superposition,[status(thm)],[c_1359,c_15772]) ).
tcf(c_47428,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,identity)) = iPr_def_26,
inference(superposition,[status(thm)],[c_26327,c_15772]) ).
tcf(c_47429,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20205,c_15772]) ).
tcf(c_47430,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4482,c_15772]) ).
tcf(c_47431,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4420,c_15772]) ).
tcf(c_47432,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1717,c_15772]) ).
tcf(c_47433,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1704,c_15772]) ).
tcf(c_47434,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1595,c_15772]) ).
tcf(c_47435,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1582,c_15772]) ).
tcf(c_47436,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1541,c_15772]) ).
tcf(c_47437,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20206,c_15772]) ).
tcf(c_47438,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4483,c_15772]) ).
tcf(c_47439,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4421,c_15772]) ).
tcf(c_47440,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1718,c_15772]) ).
tcf(c_47441,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1705,c_15772]) ).
tcf(c_47442,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1596,c_15772]) ).
tcf(c_47443,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1583,c_15772]) ).
tcf(c_47444,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1542,c_15772]) ).
tcf(c_47445,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2615,c_15772]) ).
tcf(c_47446,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2230,c_15772]) ).
tcf(c_47447,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2228,c_15772]) ).
tcf(c_47448,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2226,c_15772]) ).
tcf(c_47449,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2224,c_15772]) ).
tcf(c_47450,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2222,c_15772]) ).
tcf(c_47451,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2689,c_15772]) ).
tcf(c_47452,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2295,c_15772]) ).
tcf(c_47453,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2229,c_15772]) ).
tcf(c_47454,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2227,c_15772]) ).
tcf(c_47455,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2225,c_15772]) ).
tcf(c_47456,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2223,c_15772]) ).
tcf(c_47457,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = iPr_def_28,
inference(superposition,[status(thm)],[c_23693,c_15772]) ).
tcf(c_47458,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19608,c_15772]) ).
tcf(c_47459,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18776,c_15772]) ).
tcf(c_47460,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6038,c_15772]) ).
tcf(c_47461,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5927,c_15772]) ).
tcf(c_47462,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5860,c_15772]) ).
tcf(c_47463,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2537,c_15772]) ).
tcf(c_47464,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2362,c_15772]) ).
tcf(c_47465,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2318,c_15772]) ).
tcf(c_47466,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19609,c_15772]) ).
tcf(c_47467,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18777,c_15772]) ).
tcf(c_47468,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_6039,c_15772]) ).
tcf(c_47469,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5928,c_15772]) ).
tcf(c_47470,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5861,c_15772]) ).
tcf(c_47471,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2538,c_15772]) ).
tcf(c_47472,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2363,c_15772]) ).
tcf(c_47473,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2319,c_15772]) ).
tcf(c_47474,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28090,c_15772]) ).
tcf(c_47475,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6423,c_15772]) ).
tcf(c_47476,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_5124,c_15772]) ).
tcf(c_47477,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4973,c_15772]) ).
tcf(c_47478,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4238,c_15772]) ).
tcf(c_47479,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2389,c_15772]) ).
tcf(c_47480,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,identity)) = iPr_def_21,
inference(superposition,[status(thm)],[c_18506,c_15772]) ).
tcf(c_47481,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28092,c_15772]) ).
tcf(c_47482,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6425,c_15772]) ).
tcf(c_47483,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_5126,c_15772]) ).
tcf(c_47484,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4975,c_15772]) ).
tcf(c_47485,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4240,c_15772]) ).
tcf(c_47486,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2391,c_15772]) ).
tcf(c_47487,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27339,c_15772]) ).
tcf(c_47488,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6741,c_15772]) ).
tcf(c_47489,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5801,c_15772]) ).
tcf(c_47490,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5681,c_15772]) ).
tcf(c_47491,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4373,c_15772]) ).
tcf(c_47492,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2570,c_15772]) ).
tcf(c_47493,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27340,c_15772]) ).
tcf(c_47494,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6742,c_15772]) ).
tcf(c_47495,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5802,c_15772]) ).
tcf(c_47496,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5682,c_15772]) ).
tcf(c_47497,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4374,c_15772]) ).
tcf(c_47498,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2571,c_15772]) ).
tcf(c_47499,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27341,c_15772]) ).
tcf(c_47500,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6743,c_15772]) ).
tcf(c_47501,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5803,c_15772]) ).
tcf(c_47502,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5683,c_15772]) ).
tcf(c_47503,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4375,c_15772]) ).
tcf(c_47504,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2572,c_15772]) ).
tcf(c_47505,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19439,c_15772]) ).
tcf(c_47506,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6264,c_15772]) ).
tcf(c_47507,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6115,c_15772]) ).
tcf(c_47508,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3182,c_15772]) ).
tcf(c_47509,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3135,c_15772]) ).
tcf(c_47510,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2918,c_15772]) ).
tcf(c_47511,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2821,c_15772]) ).
tcf(c_47512,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_27)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2720,c_15772]) ).
tcf(c_47513,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19440,c_15772]) ).
tcf(c_47514,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6265,c_15772]) ).
tcf(c_47515,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6116,c_15772]) ).
tcf(c_47516,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3183,c_15772]) ).
tcf(c_47517,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3136,c_15772]) ).
tcf(c_47518,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2919,c_15772]) ).
tcf(c_47519,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2822,c_15772]) ).
tcf(c_47520,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2721,c_15772]) ).
tcf(c_47521,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_19441,c_15772]) ).
tcf(c_47522,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6266,c_15772]) ).
tcf(c_47523,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_6117,c_15772]) ).
tcf(c_47524,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3184,c_15772]) ).
tcf(c_47525,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_3137,c_15772]) ).
tcf(c_47526,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2920,c_15772]) ).
tcf(c_47527,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2823,c_15772]) ).
tcf(c_47528,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2722,c_15772]) ).
tcf(c_47529,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,identity)) = iPr_def_25,
inference(superposition,[status(thm)],[c_45275,c_15772]) ).
tcf(c_47530,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,identity)) = iPr_def_16,
inference(superposition,[status(thm)],[c_22994,c_15772]) ).
tcf(c_47531,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,identity)) = iPr_def_17,
inference(superposition,[status(thm)],[c_21648,c_15772]) ).
tcf(c_47532,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = iPr_def_23,
inference(superposition,[status(thm)],[c_18224,c_15772]) ).
tcf(c_47533,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26217,c_15772]) ).
tcf(c_47534,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26153,c_15772]) ).
tcf(c_47535,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26096,c_15772]) ).
tcf(c_47536,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_25674,c_15772]) ).
tcf(c_47537,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24267,c_15772]) ).
tcf(c_47538,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24189,c_15772]) ).
tcf(c_47539,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24132,c_15772]) ).
tcf(c_47540,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24075,c_15772]) ).
tcf(c_47541,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_23853,c_15772]) ).
tcf(c_47542,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,multiply(iPr_def_29,X1))) = multiply(sk_c12,X1),
inference(superposition,[status(thm)],[c_3878,c_15772]) ).
tcf(c_47543,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_31769,c_15772]) ).
tcf(c_47544,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18422,c_15772]) ).
tcf(c_47545,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18407,c_15772]) ).
tcf(c_47546,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18382,c_15772]) ).
tcf(c_47547,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18367,c_15772]) ).
tcf(c_47548,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(sk_c12,X1),
inference(superposition,[status(thm)],[c_3879,c_15772]) ).
tcf(c_47549,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_32025,c_15772]) ).
tcf(c_47550,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18684,c_15772]) ).
tcf(c_47551,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18649,c_15772]) ).
tcf(c_47552,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18624,c_15772]) ).
tcf(c_47553,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_18596,c_15772]) ).
tcf(c_47554,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_22,X1))) = multiply(sk_c11,X1),
inference(superposition,[status(thm)],[c_3880,c_15772]) ).
tcf(c_47555,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_28511,c_15772]) ).
tcf(c_47556,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_20930,c_15772]) ).
tcf(c_47557,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_20895,c_15772]) ).
tcf(c_47558,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_20860,c_15772]) ).
tcf(c_47559,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_20819,c_15772]) ).
tcf(c_47560,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_3881,c_15772]) ).
tcf(c_47561,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c9)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c11,X1),
inference(superposition,[status(thm)],[c_3882,c_15772]) ).
tcf(c_47562,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_3883,c_15772]) ).
tcf(c_47563,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_30868,c_15772]) ).
tcf(c_47564,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_30745,c_15772]) ).
tcf(c_47565,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_30604,c_15772]) ).
tcf(c_47566,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_30451,c_15772]) ).
tcf(c_47567,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_29976,c_15772]) ).
tcf(c_47568,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_29360,c_15772]) ).
tcf(c_47569,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_27039,c_15772]) ).
tcf(c_47570,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26906,c_15772]) ).
tcf(c_47571,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_26808,c_15772]) ).
tcf(c_47572,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(iPr_def_27,X1))) = multiply(sk_c11,X1),
inference(superposition,[status(thm)],[c_3884,c_15772]) ).
tcf(c_47573,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,multiply(iPr_def_15,X1))) = multiply(sk_c12,X1),
inference(superposition,[status(thm)],[c_3885,c_15772]) ).
tcf(c_47574,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_15741,c_15772]) ).
tcf(c_47575,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_7261,c_15772]) ).
tcf(c_47576,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_3889,c_15772]) ).
tcf(c_47577,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,X1)) = multiply(sk_c4,X1),
inference(superposition,[status(thm)],[c_3910,c_15772]) ).
tcf(c_47578,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,X1)) = multiply(sk_c5,X1),
inference(superposition,[status(thm)],[c_3909,c_15772]) ).
tcf(c_47579,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,X1)) = multiply(sk_c6,X1),
inference(superposition,[status(thm)],[c_3908,c_15772]) ).
tcf(c_47580,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_3907,c_15772]) ).
tcf(c_47581,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(sk_c7,X1),
inference(superposition,[status(thm)],[c_3906,c_15772]) ).
tcf(c_47582,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = multiply(sk_c1,X1),
inference(superposition,[status(thm)],[c_3905,c_15772]) ).
tcf(c_47583,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = multiply(sk_c2,X1),
inference(superposition,[status(thm)],[c_3904,c_15772]) ).
tcf(c_47584,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(sk_c3,X1),
inference(superposition,[status(thm)],[c_3903,c_15772]) ).
tcf(c_47585,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28367,c_15772]) ).
tcf(c_47586,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25602,c_15772]) ).
tcf(c_47587,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6184,c_15772]) ).
tcf(c_47588,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4714,c_15772]) ).
tcf(c_47589,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4621,c_15772]) ).
tcf(c_47590,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4078,c_15772]) ).
tcf(c_47591,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28368,c_15772]) ).
tcf(c_47592,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25603,c_15772]) ).
tcf(c_47593,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6185,c_15772]) ).
tcf(c_47594,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4715,c_15772]) ).
tcf(c_47595,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4622,c_15772]) ).
tcf(c_47596,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4079,c_15772]) ).
tcf(c_47597,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28369,c_15772]) ).
tcf(c_47598,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25604,c_15772]) ).
tcf(c_47599,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6186,c_15772]) ).
tcf(c_47600,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4716,c_15772]) ).
tcf(c_47601,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4623,c_15772]) ).
tcf(c_47602,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_4080,c_15772]) ).
tcf(c_47603,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28250,c_15772]) ).
tcf(c_47604,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24654,c_15772]) ).
tcf(c_47605,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_6322,c_15772]) ).
tcf(c_47606,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4870,c_15772]) ).
tcf(c_47607,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4810,c_15772]) ).
tcf(c_47608,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4186,c_15772]) ).
tcf(c_47609,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28251,c_15772]) ).
tcf(c_47610,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24655,c_15772]) ).
tcf(c_47611,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_6323,c_15772]) ).
tcf(c_47612,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4871,c_15772]) ).
tcf(c_47613,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4811,c_15772]) ).
tcf(c_47614,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4187,c_15772]) ).
tcf(c_47615,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28252,c_15772]) ).
tcf(c_47616,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24656,c_15772]) ).
tcf(c_47617,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_6324,c_15772]) ).
tcf(c_47618,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4872,c_15772]) ).
tcf(c_47619,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4812,c_15772]) ).
tcf(c_47620,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4188,c_15772]) ).
tcf(c_47621,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27799,c_15772]) ).
tcf(c_47622,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24385,c_15772]) ).
tcf(c_47623,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6644,c_15772]) ).
tcf(c_47624,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5613,c_15772]) ).
tcf(c_47625,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5519,c_15772]) ).
tcf(c_47626,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4282,c_15772]) ).
tcf(c_47627,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27801,c_15772]) ).
tcf(c_47628,plain,
! [X0: $i] :
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24387,c_15772]) ).
tcf(c_47629,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6646,c_15772]) ).
tcf(c_47630,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5615,c_15772]) ).
tcf(c_47631,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5521,c_15772]) ).
tcf(c_47632,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4284,c_15772]) ).
tcf(c_47633,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_7249,c_15772]) ).
tcf(c_47634,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_4936,c_15772]) ).
tcf(c_47635,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,sk_c12)) = iPr_def_15,
inference(superposition,[status(thm)],[c_6799,c_15772]) ).
tcf(c_47636,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,multiply(sk_c12,X1))) = multiply(iPr_def_15,X1),
inference(superposition,[status(thm)],[c_6802,c_15772]) ).
tcf(c_47637,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,sk_c11)) = iPr_def_27,
inference(superposition,[status(thm)],[c_6804,c_15772]) ).
tcf(c_47638,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,multiply(sk_c11,X1))) = multiply(iPr_def_27,X1),
inference(superposition,[status(thm)],[c_6807,c_15772]) ).
tcf(c_47639,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,sk_c12)) = iPr_def_29,
inference(superposition,[status(thm)],[c_6809,c_15772]) ).
tcf(c_47640,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,multiply(sk_c12,X1))) = multiply(iPr_def_29,X1),
inference(superposition,[status(thm)],[c_6812,c_15772]) ).
tcf(c_47641,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6824,c_15772]) ).
tcf(c_47642,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6822,c_15772]) ).
tcf(c_47643,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6820,c_15772]) ).
tcf(c_47644,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6818,c_15772]) ).
tcf(c_47645,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6816,c_15772]) ).
tcf(c_47646,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6814,c_15772]) ).
tcf(c_47647,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6825,c_15772]) ).
tcf(c_47648,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6823,c_15772]) ).
tcf(c_47649,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6821,c_15772]) ).
tcf(c_47650,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6819,c_15772]) ).
tcf(c_47651,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6817,c_15772]) ).
tcf(c_47652,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6815,c_15772]) ).
tcf(c_47653,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_7113,c_15772]) ).
tcf(c_47654,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,multiply(sk_c9,X1))) = multiply(iPr_def_14,X1),
inference(superposition,[status(thm)],[c_7189,c_15772]) ).
tcf(c_47655,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,sk_c9)) = iPr_def_20,
inference(superposition,[status(thm)],[c_7191,c_15772]) ).
tcf(c_47656,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,multiply(sk_c9,X1))) = multiply(iPr_def_20,X1),
inference(superposition,[status(thm)],[c_7194,c_15772]) ).
tcf(c_47657,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,sk_c11)) = iPr_def_22,
inference(superposition,[status(thm)],[c_7196,c_15772]) ).
tcf(c_47658,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(sk_c11,X1))) = multiply(iPr_def_22,X1),
inference(superposition,[status(thm)],[c_7199,c_15772]) ).
tcf(c_47659,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,sk_c12)) = iPr_def_24,
inference(superposition,[status(thm)],[c_7201,c_15772]) ).
tcf(c_47660,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,multiply(sk_c12,X1))) = multiply(iPr_def_24,X1),
inference(superposition,[status(thm)],[c_7204,c_15772]) ).
tcf(c_47661,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7283,c_15772]) ).
tcf(c_47662,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7278,c_15772]) ).
tcf(c_47663,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7277,c_15772]) ).
tcf(c_47664,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7273,c_15772]) ).
tcf(c_47665,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10039,c_15772]) ).
tcf(c_47666,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7284,c_15772]) ).
tcf(c_47667,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7280,c_15772]) ).
tcf(c_47668,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7279,c_15772]) ).
tcf(c_47669,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7274,c_15772]) ).
tcf(c_47670,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_10040,c_15772]) ).
tcf(c_47671,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7623,c_15772]) ).
tcf(c_47672,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7622,c_15772]) ).
tcf(c_47673,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7621,c_15772]) ).
tcf(c_47674,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7620,c_15772]) ).
tcf(c_47675,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7619,c_15772]) ).
tcf(c_47676,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7289,c_15772]) ).
tcf(c_47677,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7288,c_15772]) ).
tcf(c_47678,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7285,c_15772]) ).
tcf(c_47679,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9138,c_15772]) ).
tcf(c_47680,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8933,c_15772]) ).
tcf(c_47681,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8873,c_15772]) ).
tcf(c_47682,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8813,c_15772]) ).
tcf(c_47683,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8346,c_15772]) ).
tcf(c_47684,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7630,c_15772]) ).
tcf(c_47685,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7629,c_15772]) ).
tcf(c_47686,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7628,c_15772]) ).
tcf(c_47687,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7627,c_15772]) ).
tcf(c_47688,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7626,c_15772]) ).
tcf(c_47689,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7296,c_15772]) ).
tcf(c_47690,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7295,c_15772]) ).
tcf(c_47691,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7292,c_15772]) ).
tcf(c_47692,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c11,X1) ) ),
inference(superposition,[status(thm)],[c_7297,c_15772]) ).
tcf(c_47693,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7454,c_15772]) ).
tcf(c_47694,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9901,c_15772]) ).
tcf(c_47695,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_9902,c_15772]) ).
tcf(c_47696,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9239,c_15772]) ).
tcf(c_47697,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9238,c_15772]) ).
tcf(c_47698,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9237,c_15772]) ).
tcf(c_47699,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9236,c_15772]) ).
tcf(c_47700,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9235,c_15772]) ).
tcf(c_47701,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7918,c_15772]) ).
tcf(c_47702,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7917,c_15772]) ).
tcf(c_47703,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7916,c_15772]) ).
tcf(c_47704,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7915,c_15772]) ).
tcf(c_47705,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7914,c_15772]) ).
tcf(c_47706,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7470,c_15772]) ).
tcf(c_47707,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7469,c_15772]) ).
tcf(c_47708,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_7466,c_15772]) ).
tcf(c_47709,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9139,c_15772]) ).
tcf(c_47710,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8934,c_15772]) ).
tcf(c_47711,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8874,c_15772]) ).
tcf(c_47712,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8814,c_15772]) ).
tcf(c_47713,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8347,c_15772]) ).
tcf(c_47714,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7925,c_15772]) ).
tcf(c_47715,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7924,c_15772]) ).
tcf(c_47716,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7923,c_15772]) ).
tcf(c_47717,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7922,c_15772]) ).
tcf(c_47718,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7921,c_15772]) ).
tcf(c_47719,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7477,c_15772]) ).
tcf(c_47720,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7476,c_15772]) ).
tcf(c_47721,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7473,c_15772]) ).
tcf(c_47722,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,X1)) = multiply(iPr_def_19,X1),
inference(superposition,[status(thm)],[c_19287,c_15772]) ).
tcf(c_47723,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,sk_c12)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8031,c_15772]) ).
tcf(c_47724,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,X1)) = multiply(iPr_def_26,X1),
inference(superposition,[status(thm)],[c_26329,c_15772]) ).
tcf(c_47725,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,X1)) = multiply(iPr_def_28,X1),
inference(superposition,[status(thm)],[c_23695,c_15772]) ).
tcf(c_47726,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,X1)) = multiply(iPr_def_21,X1),
inference(superposition,[status(thm)],[c_18508,c_15772]) ).
tcf(c_47727,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,X1)) = multiply(iPr_def_23,X1),
inference(superposition,[status(thm)],[c_18226,c_15772]) ).
tcf(c_47728,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_20,sk_c11))) = iPr_def_18,
inference(superposition,[status(thm)],[c_11706,c_15772]) ).
tcf(c_47729,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_14,sk_c11))) = iPr_def_18,
inference(superposition,[status(thm)],[c_12297,c_15772]) ).
tcf(c_47730,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c9))),multiply(X0,sk_c11)) = iPr_def_18,
inference(superposition,[status(thm)],[c_15766,c_15772]) ).
tcf(c_47732,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = identity,
inference(superposition,[status(thm)],[c_16791,c_15772]) ).
tcf(c_47733,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,X1)) = multiply(iPr_def_17,X1),
inference(superposition,[status(thm)],[c_21650,c_15772]) ).
tcf(c_47734,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1)) = multiply(iPr_def_16,X1),
inference(superposition,[status(thm)],[c_22996,c_15772]) ).
tcf(c_47735,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23038,c_15772]) ).
tcf(c_47736,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23036,c_15772]) ).
tcf(c_47737,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23034,c_15772]) ).
tcf(c_47738,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23032,c_15772]) ).
tcf(c_47739,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23030,c_15772]) ).
tcf(c_47740,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23028,c_15772]) ).
tcf(c_47741,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_23181,c_15772]) ).
tcf(c_47742,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_23179,c_15772]) ).
tcf(c_47743,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_23177,c_15772]) ).
tcf(c_47744,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_23175,c_15772]) ).
tcf(c_47745,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_23173,c_15772]) ).
tcf(c_47746,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_23171,c_15772]) ).
tcf(c_47747,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,X1)) = multiply(iPr_def_25,X1),
inference(superposition,[status(thm)],[c_45277,c_15772]) ).
tcf(c_47748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(inverse(multiply(X1,X2)),multiply(multiply(X1,multiply(X2,X0)),X3))) = X3,
inference(superposition,[status(thm)],[c_15772,c_15772]) ).
tcf(c_47749,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_15772,c_15741]) ).
tcf(c_47750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(multiply(X0,multiply(X1,X2)),X3)) = multiply(X2,X3),
inference(superposition,[status(thm)],[c_15772,c_115]) ).
tcf(c_47751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,X3)) = multiply(X1,multiply(X2,X3)),
inference(superposition,[status(thm)],[c_15772,c_15772]) ).
tcf(c_47752,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),X2) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_15772,c_15772]) ).
tcf(c_47770,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),X0) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_47532,c_16791]) ).
tcf(c_47771,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),X0) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_47531,c_16791]) ).
tcf(c_47772,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),X0) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_47530,c_16791]) ).
tcf(c_47773,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),X0) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_47529,c_16791]) ).
tcf(c_47774,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),X0) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_47480,c_16791]) ).
tcf(c_47775,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),X0) = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_47457,c_16791]) ).
tcf(c_47776,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_47428,c_16791]) ).
tcf(c_47777,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),X0) = sk_c3,
inference(light_normalisation,[status(thm)],[c_47427,c_16791]) ).
tcf(c_47778,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_26)),X0) = sk_c2,
inference(light_normalisation,[status(thm)],[c_47426,c_16791]) ).
tcf(c_47779,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_28)),X0) = sk_c1,
inference(light_normalisation,[status(thm)],[c_47425,c_16791]) ).
tcf(c_47780,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),X0) = sk_c7,
inference(light_normalisation,[status(thm)],[c_47424,c_16791]) ).
tcf(c_47781,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),X0) = sk_c8,
inference(light_normalisation,[status(thm)],[c_47423,c_16791]) ).
tcf(c_47782,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),X0) = sk_c6,
inference(light_normalisation,[status(thm)],[c_47422,c_16791]) ).
tcf(c_47783,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),X0) = sk_c5,
inference(light_normalisation,[status(thm)],[c_47421,c_16791]) ).
tcf(c_47784,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),X0) = sk_c4,
inference(light_normalisation,[status(thm)],[c_47420,c_16791]) ).
tcf(c_47785,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),X0) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_47413,c_16791]) ).
tcf(c_47787,plain,
! [X0: $i] : multiply(inverse(sk_c12),multiply(sk_c12,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47355,c_7201]) ).
tcf(c_47788,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(sk_c11,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47354,c_7196]) ).
tcf(c_47789,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47353,c_7191]) ).
tcf(c_47794,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_15,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47323,c_45517]) ).
tcf(c_47795,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),multiply(iPr_def_27,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47322,c_27206]) ).
tcf(c_47796,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(iPr_def_14,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47312,c_21749]) ).
tcf(c_47797,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(iPr_def_18,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47311,c_734]) ).
tcf(c_47798,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(iPr_def_20,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47310,c_20047]) ).
tcf(c_47799,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(iPr_def_22,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47304,c_18696]) ).
tcf(c_47800,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_24,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47298,c_18271]) ).
tcf(c_47801,plain,
! [X0: $i] : multiply(inverse(iPr_def_29),multiply(iPr_def_29,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_47292,c_23752]) ).
tcf(c_47834,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(light_normalisation,[status(thm)],[c_47387,c_16791]) ).
tcf(c_47873,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_14,sk_c11)),multiply(iPr_def_14,multiply(sk_c11,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_47261,c_12310]) ).
tcf(c_47874,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c11)),multiply(iPr_def_20,multiply(sk_c11,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_47260,c_11812]) ).
tcf(c_47875,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_25,multiply(sk_c3,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_47116,c_45274,c_45468]) ).
tcf(c_47876,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_26,multiply(sk_c2,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_47115,c_26326,c_27193]) ).
tcf(c_47877,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_28,multiply(sk_c1,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_47114,c_23692,c_23739]) ).
tcf(c_47878,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_16,multiply(sk_c7,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_47113,c_22993,c_23140]) ).
tcf(c_47879,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_17,multiply(sk_c8,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_47112,c_21647,c_21718]) ).
tcf(c_47880,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_19,multiply(sk_c6,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_47111,c_19284,c_20028]) ).
tcf(c_47881,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_21,multiply(sk_c5,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_47110,c_18505,c_18552]) ).
tcf(c_47882,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_23,multiply(sk_c4,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_47109,c_18223,c_18258]) ).
tcf(c_47883,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_47740,c_16791]) ).
tcf(c_47886,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_47739,c_16791]) ).
tcf(c_47889,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_47738,c_16791]) ).
tcf(c_47892,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_47737,c_16791]) ).
tcf(c_47895,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_47736,c_16791]) ).
tcf(c_47898,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_47735,c_16791]) ).
tcf(c_48213,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_47456,c_16791]) ).
tcf(c_48216,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_47455,c_16791]) ).
tcf(c_48219,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_47454,c_16791]) ).
tcf(c_48222,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_47453,c_16791]) ).
tcf(c_48225,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_47452,c_16791]) ).
tcf(c_48228,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_47451,c_16791]) ).
tcf(c_48231,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_47450,c_16791]) ).
tcf(c_48234,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_47449,c_16791]) ).
tcf(c_48237,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_47448,c_16791]) ).
tcf(c_48240,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_47447,c_16791]) ).
tcf(c_48243,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_47446,c_16791]) ).
tcf(c_48246,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_47445,c_16791]) ).
tcf(c_48417,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_47272,c_16822]) ).
tcf(c_48420,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_47271,c_16822]) ).
tcf(c_48423,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_47270,c_16822]) ).
tcf(c_48426,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_47269,c_16822]) ).
tcf(c_48429,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_47268,c_16822]) ).
tcf(c_48432,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_14,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_47267,c_16822]) ).
tcf(c_48445,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c12,X0)),multiply(multiply(sk_c12,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47192,c_15725]) ).
tcf(c_48446,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c11,X0)),multiply(multiply(sk_c11,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47190,c_15721]) ).
tcf(c_48447,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(multiply(sk_c9,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47188,c_15719]) ).
tcf(c_48548,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(multiply(iPr_def_15,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47105,c_12519]) ).
tcf(c_48549,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_27,X0)),multiply(multiply(iPr_def_27,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47104,c_12390]) ).
tcf(c_48568,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_14,X0)),multiply(multiply(iPr_def_14,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47094,c_12330]) ).
tcf(c_48569,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_18,X0)),multiply(multiply(iPr_def_18,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47093,c_11811]) ).
tcf(c_48570,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(multiply(iPr_def_20,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47092,c_11737]) ).
tcf(c_48581,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_22,X0)),multiply(multiply(iPr_def_22,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47086,c_11667]) ).
tcf(c_48592,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(multiply(iPr_def_24,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47080,c_11209]) ).
tcf(c_48603,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_29,X0)),multiply(multiply(iPr_def_29,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_47074,c_11143]) ).
tcf(c_48762,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46988,c_16822]) ).
tcf(c_48765,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46987,c_16822]) ).
tcf(c_48768,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46986,c_16822]) ).
tcf(c_48771,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46985,c_16822]) ).
tcf(c_48774,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46984,c_16822]) ).
tcf(c_48777,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46983,c_16822]) ).
tcf(c_48780,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46982,c_16822]) ).
tcf(c_48783,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46981,c_16822]) ).
tcf(c_48786,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46980,c_16822]) ).
tcf(c_48789,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46979,c_16822]) ).
tcf(c_48792,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46978,c_16822]) ).
tcf(c_48795,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_46977,c_16822]) ).
tcf(c_60799,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18365,c_15741]) ).
tcf(c_60800,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_18365,c_114]) ).
tcf(c_60801,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c12 )
| ( multiply(inverse(iPr_def_24),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18365,c_747]) ).
tcf(c_60818,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18380,c_15741]) ).
tcf(c_60819,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_18380,c_114]) ).
tcf(c_60820,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c12 )
| ( multiply(inverse(iPr_def_24),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18380,c_747]) ).
tcf(c_60850,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18405,c_15741]) ).
tcf(c_60851,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_18405,c_114]) ).
tcf(c_60852,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c12 )
| ( multiply(inverse(iPr_def_24),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18405,c_747]) ).
tcf(c_61095,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9469]) ).
tcf(c_61096,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9469]) ).
tcf(c_61097,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9469]) ).
tcf(c_61098,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9469]) ).
tcf(c_61099,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9469]) ).
tcf(c_61100,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9469]) ).
tcf(c_61101,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9469]) ).
tcf(c_61113,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9469,c_15772]) ).
tcf(c_61114,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9469,c_15741]) ).
tcf(c_61115,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9469,c_115]) ).
tcf(c_61116,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9469,c_15772]) ).
tcf(c_61118,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9469,c_19287]) ).
tcf(c_61120,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_61118,c_11706]) ).
tcf(c_61171,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9470]) ).
tcf(c_61172,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9470]) ).
tcf(c_61173,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9470]) ).
tcf(c_61174,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9470]) ).
tcf(c_61175,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9470]) ).
tcf(c_61176,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9470]) ).
tcf(c_61177,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9470]) ).
tcf(c_61189,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9470,c_15772]) ).
tcf(c_61190,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9470,c_15741]) ).
tcf(c_61191,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9470,c_115]) ).
tcf(c_61192,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9470,c_15772]) ).
tcf(c_61194,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9470,c_19287]) ).
tcf(c_61196,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_61194,c_11706]) ).
tcf(c_61247,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9471]) ).
tcf(c_61248,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9471]) ).
tcf(c_61249,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9471]) ).
tcf(c_61250,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9471]) ).
tcf(c_61251,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9471]) ).
tcf(c_61252,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9471]) ).
tcf(c_61253,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9471]) ).
tcf(c_61265,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9471,c_15772]) ).
tcf(c_61266,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9471,c_15741]) ).
tcf(c_61267,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9471,c_115]) ).
tcf(c_61268,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9471,c_15772]) ).
tcf(c_61270,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9471,c_19287]) ).
tcf(c_61272,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_61270,c_11706]) ).
tcf(c_61323,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9472]) ).
tcf(c_61324,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9472]) ).
tcf(c_61325,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9472]) ).
tcf(c_61326,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9472]) ).
tcf(c_61327,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9472]) ).
tcf(c_61328,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9472]) ).
tcf(c_61329,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9472]) ).
tcf(c_61341,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9472,c_15772]) ).
tcf(c_61342,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9472,c_15741]) ).
tcf(c_61343,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9472,c_115]) ).
tcf(c_61344,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9472,c_15772]) ).
tcf(c_61346,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9472,c_19287]) ).
tcf(c_61348,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_61346,c_11706]) ).
tcf(c_61399,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32002,c_9473]) ).
tcf(c_61400,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31995,c_9473]) ).
tcf(c_61401,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31746,c_9473]) ).
tcf(c_61402,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30845,c_9473]) ).
tcf(c_61403,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30723,c_9473]) ).
tcf(c_61404,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30583,c_9473]) ).
tcf(c_61405,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_27) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30434,c_9473]) ).
tcf(c_61417,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9473,c_15772]) ).
tcf(c_61418,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9473,c_15741]) ).
tcf(c_61419,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_19,multiply(iPr_def_29,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_9473,c_115]) ).
tcf(c_61420,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9473,c_15772]) ).
tcf(c_61422,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_9473,c_19287]) ).
tcf(c_61424,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_61422,c_11706]) ).
tcf(c_61475,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7455,c_15772]) ).
tcf(c_61476,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7455,c_15741]) ).
tcf(c_61477,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7455,c_115]) ).
tcf(c_61478,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7455,c_15772]) ).
tcf(c_61480,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7455,c_23181]) ).
tcf(c_61481,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7455,c_23179]) ).
tcf(c_61482,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7455,c_23177]) ).
tcf(c_61483,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7455,c_23175]) ).
tcf(c_61485,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7455,c_23171]) ).
tcf(c_61486,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7455,c_22996]) ).
tcf(c_61532,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_60800,c_15772]) ).
tcf(c_61533,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60800,c_15741]) ).
tcf(c_61534,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_60800,c_115]) ).
tcf(c_61535,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60800,c_15772]) ).
tcf(c_61541,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c12,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_60800,c_7204]) ).
tcf(c_61547,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_61535,c_16791]) ).
tcf(c_61550,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_61532,c_16822]) ).
tcf(c_61564,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_60819,c_15772]) ).
tcf(c_61565,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60819,c_15741]) ).
tcf(c_61566,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_60819,c_115]) ).
tcf(c_61567,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60819,c_15772]) ).
tcf(c_61573,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c12,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_60819,c_7204]) ).
tcf(c_61579,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_61567,c_16791]) ).
tcf(c_61582,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_61564,c_16822]) ).
tcf(c_61596,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_60851,c_15772]) ).
tcf(c_61597,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60851,c_15741]) ).
tcf(c_61598,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_60851,c_115]) ).
tcf(c_61599,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60851,c_15772]) ).
tcf(c_61605,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c12,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_60851,c_7204]) ).
tcf(c_61611,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_61599,c_16791]) ).
tcf(c_61614,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_61596,c_16822]) ).
tcf(c_61623,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18420,c_15741]) ).
tcf(c_61624,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_18420,c_114]) ).
tcf(c_61625,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c12 )
| ( multiply(inverse(iPr_def_24),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18420,c_747]) ).
tcf(c_61642,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18594,c_15741]) ).
tcf(c_61643,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_18594,c_114]) ).
tcf(c_61644,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c12 )
| ( multiply(inverse(iPr_def_22),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18594,c_747]) ).
tcf(c_61661,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18622,c_15741]) ).
tcf(c_61662,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_18622,c_114]) ).
tcf(c_61663,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c12 )
| ( multiply(inverse(iPr_def_22),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18622,c_747]) ).
tcf(c_61680,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18647,c_15741]) ).
tcf(c_61681,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_18647,c_114]) ).
tcf(c_61682,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c12 )
| ( multiply(inverse(iPr_def_22),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18647,c_747]) ).
tcf(c_61715,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7458,c_15772]) ).
tcf(c_61716,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7458,c_15741]) ).
tcf(c_61717,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7458,c_115]) ).
tcf(c_61718,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7458,c_15772]) ).
tcf(c_61720,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7458,c_23181]) ).
tcf(c_61721,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7458,c_23179]) ).
tcf(c_61722,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7458,c_23177]) ).
tcf(c_61723,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7458,c_23175]) ).
tcf(c_61725,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7458,c_23171]) ).
tcf(c_61726,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7458,c_22996]) ).
tcf(c_61772,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_61624,c_15772]) ).
tcf(c_61773,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61624,c_15741]) ).
tcf(c_61774,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_61624,c_115]) ).
tcf(c_61775,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_61624,c_15772]) ).
tcf(c_61781,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c12,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_61624,c_7204]) ).
tcf(c_61787,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_61775,c_16791]) ).
tcf(c_61790,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_61772,c_16822]) ).
tcf(c_61804,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_61643,c_15772]) ).
tcf(c_61805,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_61643,c_15741]) ).
tcf(c_61806,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_61643,c_115]) ).
tcf(c_61807,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_61643,c_15772]) ).
tcf(c_61813,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c11,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_61643,c_7199]) ).
tcf(c_61819,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_61807,c_16791]) ).
tcf(c_61822,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_61804,c_16822]) ).
tcf(c_61836,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_61662,c_15772]) ).
tcf(c_61837,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_61662,c_15741]) ).
tcf(c_61838,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_61662,c_115]) ).
tcf(c_61839,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_61662,c_15772]) ).
tcf(c_61845,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c11,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_61662,c_7199]) ).
tcf(c_61851,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_61839,c_16791]) ).
tcf(c_61854,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_61836,c_16822]) ).
tcf(c_61868,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_61681,c_15772]) ).
tcf(c_61869,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_61681,c_15741]) ).
tcf(c_61870,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_61681,c_115]) ).
tcf(c_61871,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_61681,c_15772]) ).
tcf(c_61877,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c11,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_61681,c_7199]) ).
tcf(c_61883,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_61871,c_16791]) ).
tcf(c_61886,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_61868,c_16822]) ).
tcf(c_61895,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18682,c_15741]) ).
tcf(c_61896,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_18682,c_114]) ).
tcf(c_61897,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c12 )
| ( multiply(inverse(iPr_def_22),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_18682,c_747]) ).
tcf(c_61914,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20817,c_15741]) ).
tcf(c_61915,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_20817,c_114]) ).
tcf(c_61916,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c12 )
| ( multiply(inverse(iPr_def_20),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_20817,c_747]) ).
tcf(c_61933,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20858,c_15741]) ).
tcf(c_61934,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_20858,c_114]) ).
tcf(c_61935,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c12 )
| ( multiply(inverse(iPr_def_20),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_20858,c_747]) ).
tcf(c_61952,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20893,c_15741]) ).
tcf(c_61953,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_20893,c_114]) ).
tcf(c_61954,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c12 )
| ( multiply(inverse(iPr_def_20),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_20893,c_747]) ).
tcf(c_61989,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7459,c_15772]) ).
tcf(c_61990,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7459,c_15741]) ).
tcf(c_61991,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7459,c_115]) ).
tcf(c_61992,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7459,c_15772]) ).
tcf(c_61994,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7459,c_23181]) ).
tcf(c_61995,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7459,c_23179]) ).
tcf(c_61996,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7459,c_23177]) ).
tcf(c_61997,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7459,c_23175]) ).
tcf(c_61999,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7459,c_23171]) ).
tcf(c_62000,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7459,c_22996]) ).
tcf(c_62152,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_61896,c_15772]) ).
tcf(c_62153,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_61896,c_15741]) ).
tcf(c_62154,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_61896,c_115]) ).
tcf(c_62155,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_61896,c_15772]) ).
tcf(c_62161,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c11,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_61896,c_7199]) ).
tcf(c_62167,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_62155,c_16791]) ).
tcf(c_62170,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62152,c_16822]) ).
tcf(c_62189,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_61915,c_15772]) ).
tcf(c_62190,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61915,c_15741]) ).
tcf(c_62191,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_61915,c_115]) ).
tcf(c_62192,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61915,c_15772]) ).
tcf(c_62198,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(sk_c9,iPr_def_20) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_61915,c_7194]) ).
tcf(c_62204,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_62192,c_16791]) ).
tcf(c_62207,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62189,c_16822]) ).
tcf(c_62231,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_61934,c_15772]) ).
tcf(c_62232,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61934,c_15741]) ).
tcf(c_62233,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_61934,c_115]) ).
tcf(c_62234,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61934,c_15772]) ).
tcf(c_62240,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(sk_c9,iPr_def_20) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_61934,c_7194]) ).
tcf(c_62246,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_62234,c_16791]) ).
tcf(c_62249,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62231,c_16822]) ).
tcf(c_62376,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_61953,c_15772]) ).
tcf(c_62377,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61953,c_15741]) ).
tcf(c_62378,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_61953,c_115]) ).
tcf(c_62379,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61953,c_15772]) ).
tcf(c_62385,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c9,iPr_def_20) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_61953,c_7194]) ).
tcf(c_62391,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_62379,c_16791]) ).
tcf(c_62394,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62376,c_16822]) ).
tcf(c_62403,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20928,c_15741]) ).
tcf(c_62404,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_20928,c_114]) ).
tcf(c_62405,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c12 )
| ( multiply(inverse(iPr_def_20),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_20928,c_747]) ).
tcf(c_62431,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_23851]) ).
tcf(c_62432,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_23851]) ).
tcf(c_62433,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_23851]) ).
tcf(c_62434,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6721,c_23851]) ).
tcf(c_62435,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_23851]) ).
tcf(c_62436,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6628,c_23851]) ).
tcf(c_62437,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_23851]) ).
tcf(c_62438,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6252,c_23851]) ).
tcf(c_62439,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6104,c_23851]) ).
tcf(c_62440,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23851,c_15741]) ).
tcf(c_62441,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_23851,c_114]) ).
tcf(c_62442,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c12 )
| ( multiply(inverse(iPr_def_29),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_23851,c_747]) ).
tcf(c_62447,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62439,c_27193]) ).
tcf(c_62451,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62438,c_27193]) ).
tcf(c_62455,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62437,c_27193]) ).
tcf(c_62459,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62436,c_27193]) ).
tcf(c_62463,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62435,c_27193]) ).
tcf(c_62467,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62434,c_27193]) ).
tcf(c_62471,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62433,c_27193]) ).
tcf(c_62475,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62432,c_27193]) ).
tcf(c_62479,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62431,c_27193]) ).
tcf(c_62582,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_24073]) ).
tcf(c_62583,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_24073]) ).
tcf(c_62584,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_24073]) ).
tcf(c_62585,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6721,c_24073]) ).
tcf(c_62586,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_24073]) ).
tcf(c_62587,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6628,c_24073]) ).
tcf(c_62588,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_24073]) ).
tcf(c_62589,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6252,c_24073]) ).
tcf(c_62590,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6104,c_24073]) ).
tcf(c_62591,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24073,c_15741]) ).
tcf(c_62592,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_24073,c_114]) ).
tcf(c_62593,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c12 )
| ( multiply(inverse(iPr_def_29),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_24073,c_747]) ).
tcf(c_62598,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62590,c_27193]) ).
tcf(c_62602,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62589,c_27193]) ).
tcf(c_62606,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62588,c_27193]) ).
tcf(c_62610,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62587,c_27193]) ).
tcf(c_62614,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62586,c_27193]) ).
tcf(c_62618,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62585,c_27193]) ).
tcf(c_62622,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62584,c_27193]) ).
tcf(c_62626,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62583,c_27193]) ).
tcf(c_62630,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62582,c_27193]) ).
tcf(c_62646,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_24130]) ).
tcf(c_62648,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31746,c_24130]) ).
tcf(c_62655,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_24130]) ).
tcf(c_62656,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_24130]) ).
tcf(c_62657,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_24130]) ).
tcf(c_62658,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6721,c_24130]) ).
tcf(c_62659,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_24130]) ).
tcf(c_62660,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6628,c_24130]) ).
tcf(c_62661,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_24130]) ).
tcf(c_62662,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6252,c_24130]) ).
tcf(c_62663,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6104,c_24130]) ).
tcf(c_62664,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24130,c_15741]) ).
tcf(c_62665,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_24130,c_114]) ).
tcf(c_62666,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c12 )
| ( multiply(inverse(iPr_def_29),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_24130,c_747]) ).
tcf(c_62667,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62658,c_27193]) ).
tcf(c_62674,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62663,c_27193]) ).
tcf(c_62678,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62662,c_27193]) ).
tcf(c_62682,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62661,c_27193]) ).
tcf(c_62686,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62660,c_27193]) ).
tcf(c_62690,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62659,c_27193]) ).
tcf(c_62695,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62656,c_27193]) ).
tcf(c_62699,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_62655,c_27193]) ).
tcf(c_62808,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7460,c_15772]) ).
tcf(c_62809,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7460,c_15741]) ).
tcf(c_62810,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7460,c_115]) ).
tcf(c_62811,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7460,c_15772]) ).
tcf(c_62813,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7460,c_23181]) ).
tcf(c_62814,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7460,c_23179]) ).
tcf(c_62815,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7460,c_23177]) ).
tcf(c_62816,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7460,c_23175]) ).
tcf(c_62818,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7460,c_23171]) ).
tcf(c_62819,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7460,c_22996]) ).
tcf(c_63159,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_62404,c_15772]) ).
tcf(c_63160,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_62404,c_15741]) ).
tcf(c_63161,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_62404,c_115]) ).
tcf(c_63162,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_62404,c_15772]) ).
tcf(c_63168,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(sk_c9,iPr_def_20) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_62404,c_7194]) ).
tcf(c_63174,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_63162,c_16791]) ).
tcf(c_63177,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_63159,c_16822]) ).
tcf(c_63261,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_62441]) ).
tcf(c_63262,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_31995,c_62441]) ).
tcf(c_63263,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_31746,c_62441]) ).
tcf(c_63264,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_62441]) ).
tcf(c_63265,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_62441]) ).
tcf(c_63266,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_62441]) ).
tcf(c_63267,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30434,c_62441]) ).
tcf(c_63268,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_62441]) ).
tcf(c_63269,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_62441]) ).
tcf(c_63270,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_20816,c_62441]) ).
tcf(c_63271,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_20812,c_62441]) ).
tcf(c_63272,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_18593,c_62441]) ).
tcf(c_63273,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6721,c_62441]) ).
tcf(c_63274,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6629,c_62441]) ).
tcf(c_63275,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6628,c_62441]) ).
tcf(c_63276,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6307,c_62441]) ).
tcf(c_63277,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6252,c_62441]) ).
tcf(c_63278,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6104,c_62441]) ).
tcf(c_63279,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_62441,c_15772]) ).
tcf(c_63280,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_62441,c_15741]) ).
tcf(c_63281,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_62441,c_115]) ).
tcf(c_63282,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_62441,c_15772]) ).
tcf(c_63292,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c12,iPr_def_29) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_62441,c_6812]) ).
tcf(c_63352,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_63282,c_16791]) ).
tcf(c_63355,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_63279,c_16822]) ).
tcf(c_63814,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_62592]) ).
tcf(c_63815,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_31995,c_62592]) ).
tcf(c_63816,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_31746,c_62592]) ).
tcf(c_63817,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_62592]) ).
tcf(c_63818,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_62592]) ).
tcf(c_63819,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_62592]) ).
tcf(c_63820,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30434,c_62592]) ).
tcf(c_63821,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_62592]) ).
tcf(c_63822,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_62592]) ).
tcf(c_63823,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_20816,c_62592]) ).
tcf(c_63824,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_20812,c_62592]) ).
tcf(c_63825,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_18593,c_62592]) ).
tcf(c_63826,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6721,c_62592]) ).
tcf(c_63827,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6629,c_62592]) ).
tcf(c_63828,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6628,c_62592]) ).
tcf(c_63829,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6307,c_62592]) ).
tcf(c_63830,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6252,c_62592]) ).
tcf(c_63831,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6104,c_62592]) ).
tcf(c_63832,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_62592,c_15772]) ).
tcf(c_63833,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_62592,c_15741]) ).
tcf(c_63834,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_62592,c_115]) ).
tcf(c_63835,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_62592,c_15772]) ).
tcf(c_63845,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c12,iPr_def_29) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_62592,c_6812]) ).
tcf(c_63905,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_63835,c_16791]) ).
tcf(c_63908,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_63832,c_16822]) ).
tcf(c_64512,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_62665]) ).
tcf(c_64514,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_31746,c_62665]) ).
tcf(c_64515,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_62665]) ).
tcf(c_64516,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_62665]) ).
tcf(c_64517,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_62665]) ).
tcf(c_64518,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30434,c_62665]) ).
tcf(c_64519,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_62665]) ).
tcf(c_64520,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_62665]) ).
tcf(c_64521,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_20816,c_62665]) ).
tcf(c_64522,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_20812,c_62665]) ).
tcf(c_64524,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6721,c_62665]) ).
tcf(c_64525,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6629,c_62665]) ).
tcf(c_64526,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6628,c_62665]) ).
tcf(c_64527,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6307,c_62665]) ).
tcf(c_64528,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6252,c_62665]) ).
tcf(c_64529,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6104,c_62665]) ).
tcf(c_64530,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_62665,c_15772]) ).
tcf(c_64531,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_62665,c_15741]) ).
tcf(c_64532,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_62665,c_115]) ).
tcf(c_64533,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_62665,c_15772]) ).
tcf(c_64543,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c12,iPr_def_29) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_62665,c_6812]) ).
tcf(c_64595,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_64533,c_16791]) ).
tcf(c_64598,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_64530,c_16822]) ).
tcf(c_65114,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62667,c_19439]) ).
tcf(c_65117,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62667,c_6264]) ).
tcf(c_65118,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62667,c_6115]) ).
tcf(c_65125,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_62667,c_3884]) ).
tcf(c_65126,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62667,c_3182]) ).
tcf(c_65127,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62667,c_3135]) ).
tcf(c_65128,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62667,c_2918]) ).
tcf(c_65129,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62667,c_2821]) ).
tcf(c_65130,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62667,c_2720]) ).
tcf(c_65133,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_62667,c_3904]) ).
tcf(c_65135,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_62667,c_743]) ).
tcf(c_65224,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_24187]) ).
tcf(c_65225,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_24187]) ).
tcf(c_65226,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_24187]) ).
tcf(c_65228,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_24187]) ).
tcf(c_65229,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6628,c_24187]) ).
tcf(c_65230,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_24187]) ).
tcf(c_65231,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6252,c_24187]) ).
tcf(c_65232,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6104,c_24187]) ).
tcf(c_65233,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24187,c_15741]) ).
tcf(c_65234,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_24187,c_114]) ).
tcf(c_65235,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c12 )
| ( multiply(inverse(iPr_def_29),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_24187,c_747]) ).
tcf(c_65236,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_65231,c_27193]) ).
tcf(c_65243,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_65232,c_27193]) ).
tcf(c_65288,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65236,c_19439]) ).
tcf(c_65291,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65236,c_6264]) ).
tcf(c_65292,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65236,c_6115]) ).
tcf(c_65299,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_65236,c_3884]) ).
tcf(c_65300,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65236,c_3182]) ).
tcf(c_65301,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65236,c_3135]) ).
tcf(c_65302,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65236,c_2918]) ).
tcf(c_65303,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65236,c_2821]) ).
tcf(c_65304,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65236,c_2720]) ).
tcf(c_65307,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_65236,c_3904]) ).
tcf(c_65308,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_65236,c_1358]) ).
tcf(c_65309,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65236,c_743]) ).
tcf(c_65391,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_24265]) ).
tcf(c_65392,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_24265]) ).
tcf(c_65393,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_24265]) ).
tcf(c_65395,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_24265]) ).
tcf(c_65396,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6628,c_24265]) ).
tcf(c_65397,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_24265]) ).
tcf(c_65399,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6104,c_24265]) ).
tcf(c_65400,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24265,c_15741]) ).
tcf(c_65401,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_24265,c_114]) ).
tcf(c_65402,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c12 )
| ( multiply(inverse(iPr_def_29),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_24265,c_747]) ).
tcf(c_65403,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_65399,c_27193]) ).
tcf(c_65446,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7461,c_15772]) ).
tcf(c_65447,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7461,c_15741]) ).
tcf(c_65448,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7461,c_115]) ).
tcf(c_65449,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7461,c_15772]) ).
tcf(c_65451,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7461,c_23181]) ).
tcf(c_65452,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7461,c_23179]) ).
tcf(c_65453,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7461,c_23177]) ).
tcf(c_65454,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7461,c_23175]) ).
tcf(c_65456,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7461,c_23171]) ).
tcf(c_65457,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7461,c_22996]) ).
tcf(c_65554,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_65135]) ).
tcf(c_65555,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_65135]) ).
tcf(c_65558,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38065,c_65135]) ).
tcf(c_65559,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38063,c_65135]) ).
tcf(c_65560,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_65135]) ).
tcf(c_65561,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_65135]) ).
tcf(c_65562,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_65135]) ).
tcf(c_65563,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_65135]) ).
tcf(c_65564,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_65135]) ).
tcf(c_65565,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_65135]) ).
tcf(c_65566,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37403,c_65135]) ).
tcf(c_65567,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37402,c_65135]) ).
tcf(c_65568,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_65135]) ).
tcf(c_65569,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_65135]) ).
tcf(c_65570,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_65135]) ).
tcf(c_65571,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_65135]) ).
tcf(c_65574,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19300,c_65135]) ).
tcf(c_65596,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1556,c_65135]) ).
tcf(c_65597,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1528,c_65135]) ).
tcf(c_65607,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_782,c_65135]) ).
tcf(c_65608,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_781,c_65135]) ).
tcf(c_65609,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_779,c_65135]) ).
tcf(c_65610,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_778,c_65135]) ).
tcf(c_65611,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_776,c_65135]) ).
tcf(c_65612,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_65135,c_15772]) ).
tcf(c_65613,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65135,c_15741]) ).
tcf(c_65615,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65135,c_15772]) ).
tcf(c_65616,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65135,c_26329]) ).
tcf(c_65783,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_65234]) ).
tcf(c_65784,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_65234]) ).
tcf(c_65793,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6104,c_65234]) ).
tcf(c_65794,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_65234,c_15772]) ).
tcf(c_65795,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_65234,c_15741]) ).
tcf(c_65796,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_65234,c_115]) ).
tcf(c_65797,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_65234,c_15772]) ).
tcf(c_65807,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c12,iPr_def_29) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_65234,c_6812]) ).
tcf(c_65821,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_65797,c_16791]) ).
tcf(c_65824,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_65794,c_16822]) ).
tcf(c_65884,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_65309]) ).
tcf(c_65885,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_65309]) ).
tcf(c_65886,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_65309]) ).
tcf(c_65887,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_65309]) ).
tcf(c_65890,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19300,c_65309]) ).
tcf(c_65912,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1556,c_65309]) ).
tcf(c_65913,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1528,c_65309]) ).
tcf(c_65923,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_782,c_65309]) ).
tcf(c_65924,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_781,c_65309]) ).
tcf(c_65925,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_779,c_65309]) ).
tcf(c_65926,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_778,c_65309]) ).
tcf(c_65927,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_776,c_65309]) ).
tcf(c_65928,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_65309,c_15772]) ).
tcf(c_65929,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65309,c_15741]) ).
tcf(c_65931,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65309,c_15772]) ).
tcf(c_65932,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_65309,c_26329]) ).
tcf(c_66020,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_65401]) ).
tcf(c_66030,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6104,c_65401]) ).
tcf(c_66031,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_65401,c_15772]) ).
tcf(c_66032,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_65401,c_15741]) ).
tcf(c_66033,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_65401,c_115]) ).
tcf(c_66034,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_65401,c_15772]) ).
tcf(c_66044,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c12,iPr_def_29) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_65401,c_6812]) ).
tcf(c_66054,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_66034,c_16791]) ).
tcf(c_66057,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_66031,c_16822]) ).
tcf(c_66122,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65403,c_19439]) ).
tcf(c_66126,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65403,c_6115]) ).
tcf(c_66133,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_65403,c_3884]) ).
tcf(c_66134,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65403,c_3182]) ).
tcf(c_66135,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65403,c_3135]) ).
tcf(c_66136,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65403,c_2918]) ).
tcf(c_66137,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65403,c_2821]) ).
tcf(c_66138,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65403,c_2720]) ).
tcf(c_66141,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_65403,c_3904]) ).
tcf(c_66143,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_65403,c_743]) ).
tcf(c_66186,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_25672]) ).
tcf(c_66187,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_25672]) ).
tcf(c_66188,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_25672]) ).
tcf(c_66189,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6721,c_25672]) ).
tcf(c_66190,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_25672]) ).
tcf(c_66191,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6628,c_25672]) ).
tcf(c_66192,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_25672]) ).
tcf(c_66193,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6252,c_25672]) ).
tcf(c_66194,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6104,c_25672]) ).
tcf(c_66195,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_25672,c_15741]) ).
tcf(c_66196,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_25672,c_114]) ).
tcf(c_66197,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c12 )
| ( multiply(inverse(iPr_def_29),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_25672,c_747]) ).
tcf(c_66202,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66194,c_27193]) ).
tcf(c_66206,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66193,c_27193]) ).
tcf(c_66210,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66192,c_27193]) ).
tcf(c_66214,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66191,c_27193]) ).
tcf(c_66218,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66190,c_27193]) ).
tcf(c_66222,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66189,c_27193]) ).
tcf(c_66226,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66188,c_27193]) ).
tcf(c_66230,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66187,c_27193]) ).
tcf(c_66234,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66186,c_27193]) ).
tcf(c_66268,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_27) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_26094]) ).
tcf(c_66277,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_26094]) ).
tcf(c_66278,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_26094]) ).
tcf(c_66279,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_26094]) ).
tcf(c_66281,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_26094]) ).
tcf(c_66282,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6628,c_26094]) ).
tcf(c_66283,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_26094]) ).
tcf(c_66286,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26094,c_15741]) ).
tcf(c_66287,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_26094,c_114]) ).
tcf(c_66288,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c12 )
| ( multiply(inverse(iPr_def_29),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26094,c_747]) ).
tcf(c_66289,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66282,c_27193]) ).
tcf(c_66296,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66283,c_27193]) ).
tcf(c_66300,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66281,c_27193]) ).
tcf(c_66305,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_66278,c_27193]) ).
tcf(c_66358,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66289,c_19439]) ).
tcf(c_66369,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_66289,c_3884]) ).
tcf(c_66370,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66289,c_3182]) ).
tcf(c_66371,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66289,c_3135]) ).
tcf(c_66372,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66289,c_2918]) ).
tcf(c_66373,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66289,c_2821]) ).
tcf(c_66374,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66289,c_2720]) ).
tcf(c_66375,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66289,c_2570]) ).
tcf(c_66376,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66289,c_2389]) ).
tcf(c_66377,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_66289,c_3904]) ).
tcf(c_66378,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_66289,c_1358]) ).
tcf(c_66379,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_66289,c_743]) ).
tcf(c_66439,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_65607]) ).
tcf(c_66440,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_65607]) ).
tcf(c_66443,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38065,c_65607]) ).
tcf(c_66444,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38063,c_65607]) ).
tcf(c_66445,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_65607]) ).
tcf(c_66446,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_65607]) ).
tcf(c_66447,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_65607]) ).
tcf(c_66448,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_65607]) ).
tcf(c_66449,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_65607]) ).
tcf(c_66450,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_65607]) ).
tcf(c_66451,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37403,c_65607]) ).
tcf(c_66452,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37402,c_65607]) ).
tcf(c_66453,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_65607]) ).
tcf(c_66454,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_65607]) ).
tcf(c_66455,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_65607]) ).
tcf(c_66456,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_65607]) ).
tcf(c_66457,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_65607,c_15772]) ).
tcf(c_66458,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65607,c_15741]) ).
tcf(c_66459,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_65607,c_115]) ).
tcf(c_66460,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65607,c_15772]) ).
tcf(c_66461,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65607,c_26329]) ).
tcf(c_67289,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_65608]) ).
tcf(c_67290,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_65608]) ).
tcf(c_67293,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38065,c_65608]) ).
tcf(c_67294,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38063,c_65608]) ).
tcf(c_67295,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_65608]) ).
tcf(c_67296,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_65608]) ).
tcf(c_67297,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_65608]) ).
tcf(c_67298,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_65608]) ).
tcf(c_67299,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_65608]) ).
tcf(c_67300,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_65608]) ).
tcf(c_67301,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37403,c_65608]) ).
tcf(c_67302,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37402,c_65608]) ).
tcf(c_67303,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_65608]) ).
tcf(c_67304,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_65608]) ).
tcf(c_67305,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_65608]) ).
tcf(c_67306,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_65608]) ).
tcf(c_67307,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_65608,c_15772]) ).
tcf(c_67308,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65608,c_15741]) ).
tcf(c_67309,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_65608,c_115]) ).
tcf(c_67310,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65608,c_15772]) ).
tcf(c_67311,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65608,c_26329]) ).
tcf(c_67414,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_65609]) ).
tcf(c_67415,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_65609]) ).
tcf(c_67418,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38065,c_65609]) ).
tcf(c_67419,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38063,c_65609]) ).
tcf(c_67420,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_65609]) ).
tcf(c_67421,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_65609]) ).
tcf(c_67422,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_65609]) ).
tcf(c_67423,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_65609]) ).
tcf(c_67424,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_65609]) ).
tcf(c_67425,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_65609]) ).
tcf(c_67426,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37403,c_65609]) ).
tcf(c_67427,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37402,c_65609]) ).
tcf(c_67428,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_65609]) ).
tcf(c_67429,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_65609]) ).
tcf(c_67430,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_65609]) ).
tcf(c_67431,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_65609]) ).
tcf(c_67432,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_65609,c_15772]) ).
tcf(c_67433,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65609,c_15741]) ).
tcf(c_67434,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_65609,c_115]) ).
tcf(c_67435,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65609,c_15772]) ).
tcf(c_67436,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65609,c_26329]) ).
tcf(c_67606,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_65610]) ).
tcf(c_67607,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_65610]) ).
tcf(c_67610,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38065,c_65610]) ).
tcf(c_67611,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38063,c_65610]) ).
tcf(c_67612,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_65610]) ).
tcf(c_67613,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_65610]) ).
tcf(c_67614,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_65610]) ).
tcf(c_67615,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_65610]) ).
tcf(c_67616,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_65610]) ).
tcf(c_67617,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_65610]) ).
tcf(c_67618,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37403,c_65610]) ).
tcf(c_67619,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37402,c_65610]) ).
tcf(c_67620,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_65610]) ).
tcf(c_67621,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_65610]) ).
tcf(c_67622,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_65610]) ).
tcf(c_67623,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_65610]) ).
tcf(c_67624,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_65610,c_15772]) ).
tcf(c_67625,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65610,c_15741]) ).
tcf(c_67626,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_65610,c_115]) ).
tcf(c_67627,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65610,c_15772]) ).
tcf(c_67628,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65610,c_26329]) ).
tcf(c_67759,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_65611]) ).
tcf(c_67760,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_65611]) ).
tcf(c_67763,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38065,c_65611]) ).
tcf(c_67764,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38063,c_65611]) ).
tcf(c_67765,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_65611]) ).
tcf(c_67766,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_65611]) ).
tcf(c_67767,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_65611]) ).
tcf(c_67768,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_65611]) ).
tcf(c_67769,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_65611]) ).
tcf(c_67770,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_65611]) ).
tcf(c_67771,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37403,c_65611]) ).
tcf(c_67772,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37402,c_65611]) ).
tcf(c_67773,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_65611]) ).
tcf(c_67774,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_65611]) ).
tcf(c_67775,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_65611]) ).
tcf(c_67776,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_65611]) ).
tcf(c_67777,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_65611,c_15772]) ).
tcf(c_67778,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65611,c_15741]) ).
tcf(c_67779,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_65611,c_115]) ).
tcf(c_67780,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65611,c_15772]) ).
tcf(c_67781,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_65611,c_26329]) ).
tcf(c_67890,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7464,c_15772]) ).
tcf(c_67891,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7464,c_15741]) ).
tcf(c_67892,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7464,c_115]) ).
tcf(c_67893,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7464,c_15772]) ).
tcf(c_67895,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7464,c_23181]) ).
tcf(c_67896,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7464,c_23179]) ).
tcf(c_67897,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7464,c_23177]) ).
tcf(c_67898,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7464,c_23175]) ).
tcf(c_67900,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7464,c_23171]) ).
tcf(c_67901,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7464,c_22996]) ).
tcf(c_67969,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_66143]) ).
tcf(c_67970,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_66143]) ).
tcf(c_67975,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19300,c_66143]) ).
tcf(c_67998,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1528,c_66143]) ).
tcf(c_68008,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_782,c_66143]) ).
tcf(c_68009,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_781,c_66143]) ).
tcf(c_68010,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_779,c_66143]) ).
tcf(c_68011,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_778,c_66143]) ).
tcf(c_68012,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_776,c_66143]) ).
tcf(c_68013,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_66143,c_15772]) ).
tcf(c_68014,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_66143,c_15741]) ).
tcf(c_68016,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_66143,c_15772]) ).
tcf(c_68017,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_66143,c_26329]) ).
tcf(c_68097,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_66196]) ).
tcf(c_68098,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_31995,c_66196]) ).
tcf(c_68099,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_31746,c_66196]) ).
tcf(c_68100,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_66196]) ).
tcf(c_68101,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_66196]) ).
tcf(c_68102,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_66196]) ).
tcf(c_68103,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30434,c_66196]) ).
tcf(c_68104,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_66196]) ).
tcf(c_68105,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_66196]) ).
tcf(c_68106,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_20816,c_66196]) ).
tcf(c_68107,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_20812,c_66196]) ).
tcf(c_68108,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_18593,c_66196]) ).
tcf(c_68109,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6721,c_66196]) ).
tcf(c_68110,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6629,c_66196]) ).
tcf(c_68111,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6628,c_66196]) ).
tcf(c_68112,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6307,c_66196]) ).
tcf(c_68113,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6252,c_66196]) ).
tcf(c_68114,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6104,c_66196]) ).
tcf(c_68115,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_66196,c_15772]) ).
tcf(c_68116,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_66196,c_15741]) ).
tcf(c_68117,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_66196,c_115]) ).
tcf(c_68118,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_66196,c_15772]) ).
tcf(c_68128,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c12,iPr_def_29) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_66196,c_6812]) ).
tcf(c_68188,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_68118,c_16791]) ).
tcf(c_68191,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68115,c_16822]) ).
tcf(c_68295,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_66287]) ).
tcf(c_68298,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_66287]) ).
tcf(c_68299,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_66287]) ).
tcf(c_68300,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_66287]) ).
tcf(c_68305,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_20812,c_66287]) ).
tcf(c_68308,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6629,c_66287]) ).
tcf(c_68310,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_6307,c_66287]) ).
tcf(c_68313,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_66287,c_15772]) ).
tcf(c_68314,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_66287,c_15741]) ).
tcf(c_68315,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_66287,c_115]) ).
tcf(c_68316,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_66287,c_15772]) ).
tcf(c_68326,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c12,iPr_def_29) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_66287,c_6812]) ).
tcf(c_68352,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_68316,c_16791]) ).
tcf(c_68355,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_68313,c_16822]) ).
tcf(c_68377,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_66379]) ).
tcf(c_68378,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_66379]) ).
tcf(c_68383,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_66379]) ).
tcf(c_68384,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_66379]) ).
tcf(c_68385,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_66379]) ).
tcf(c_68386,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_66379]) ).
tcf(c_68387,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_66379]) ).
tcf(c_68388,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_66379]) ).
tcf(c_68397,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19300,c_66379]) ).
tcf(c_68430,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_782,c_66379]) ).
tcf(c_68431,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_781,c_66379]) ).
tcf(c_68432,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_779,c_66379]) ).
tcf(c_68433,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_778,c_66379]) ).
tcf(c_68434,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_776,c_66379]) ).
tcf(c_68435,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_66379,c_15772]) ).
tcf(c_68436,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_66379,c_15741]) ).
tcf(c_68438,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_66379,c_15772]) ).
tcf(c_68439,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_66379,c_26329]) ).
tcf(c_68516,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_26151]) ).
tcf(c_68517,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_26151]) ).
tcf(c_68518,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_26151]) ).
tcf(c_68520,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_26151]) ).
tcf(c_68522,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_26151]) ).
tcf(c_68525,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26151,c_15741]) ).
tcf(c_68526,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_26151,c_114]) ).
tcf(c_68527,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c12 )
| ( multiply(inverse(iPr_def_29),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26151,c_747]) ).
tcf(c_68528,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_68522,c_27193]) ).
tcf(c_68556,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68528,c_19439]) ).
tcf(c_68567,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_68528,c_3884]) ).
tcf(c_68568,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68528,c_3182]) ).
tcf(c_68569,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68528,c_3135]) ).
tcf(c_68570,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68528,c_2918]) ).
tcf(c_68571,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68528,c_2821]) ).
tcf(c_68572,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68528,c_2720]) ).
tcf(c_68573,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68528,c_2570]) ).
tcf(c_68574,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68528,c_2389]) ).
tcf(c_68575,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_68528,c_3904]) ).
tcf(c_68576,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_68528,c_1358]) ).
tcf(c_68577,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68528,c_743]) ).
tcf(c_68636,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_26215]) ).
tcf(c_68637,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_26215]) ).
tcf(c_68638,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_26215]) ).
tcf(c_68640,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_26215]) ).
tcf(c_68645,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26215,c_15741]) ).
tcf(c_68646,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_29) = identity ) ),
inference(superposition,[status(thm)],[c_26215,c_114]) ).
tcf(c_68647,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c12 )
| ( multiply(inverse(iPr_def_29),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26215,c_747]) ).
tcf(c_68648,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c2 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_68640,c_27193]) ).
tcf(c_68675,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68648,c_19439]) ).
tcf(c_68686,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_68648,c_3884]) ).
tcf(c_68687,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68648,c_3182]) ).
tcf(c_68688,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68648,c_3135]) ).
tcf(c_68689,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68648,c_2918]) ).
tcf(c_68690,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68648,c_2821]) ).
tcf(c_68691,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68648,c_2720]) ).
tcf(c_68692,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68648,c_2570]) ).
tcf(c_68693,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68648,c_2389]) ).
tcf(c_68694,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_68648,c_3904]) ).
tcf(c_68695,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_68648,c_1358]) ).
tcf(c_68696,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_68648,c_743]) ).
tcf(c_68792,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_68430]) ).
tcf(c_68793,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_68430]) ).
tcf(c_68798,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_68430]) ).
tcf(c_68799,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_68430]) ).
tcf(c_68800,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_68430]) ).
tcf(c_68801,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_68430]) ).
tcf(c_68802,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_68430]) ).
tcf(c_68803,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_68430]) ).
tcf(c_68806,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_68430]) ).
tcf(c_68807,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_68430]) ).
tcf(c_68808,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_68430]) ).
tcf(c_68809,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_68430]) ).
tcf(c_68810,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_68430,c_15772]) ).
tcf(c_68811,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68430,c_15741]) ).
tcf(c_68812,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_68430,c_115]) ).
tcf(c_68813,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68430,c_15772]) ).
tcf(c_68814,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68430,c_26329]) ).
tcf(c_68938,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7465,c_15772]) ).
tcf(c_68939,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7465,c_15741]) ).
tcf(c_68940,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7465,c_115]) ).
tcf(c_68941,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7465,c_15772]) ).
tcf(c_68943,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7465,c_23181]) ).
tcf(c_68944,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7465,c_23179]) ).
tcf(c_68945,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7465,c_23177]) ).
tcf(c_68946,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7465,c_23175]) ).
tcf(c_68948,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7465,c_23171]) ).
tcf(c_68949,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7465,c_22996]) ).
tcf(c_69042,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_68526]) ).
tcf(c_69056,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_68526,c_15772]) ).
tcf(c_69057,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_68526,c_15741]) ).
tcf(c_69058,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_68526,c_115]) ).
tcf(c_69059,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_68526,c_15772]) ).
tcf(c_69069,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c12,iPr_def_29) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_68526,c_6812]) ).
tcf(c_69077,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_69059,c_16791]) ).
tcf(c_69080,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_69056,c_16822]) ).
tcf(c_69102,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_68577]) ).
tcf(c_69103,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_68577]) ).
tcf(c_69114,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19300,c_68577]) ).
tcf(c_69147,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_782,c_68577]) ).
tcf(c_69148,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_781,c_68577]) ).
tcf(c_69149,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_779,c_68577]) ).
tcf(c_69150,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_778,c_68577]) ).
tcf(c_69151,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_776,c_68577]) ).
tcf(c_69152,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_68577,c_15772]) ).
tcf(c_69153,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_68577,c_15741]) ).
tcf(c_69155,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_68577,c_15772]) ).
tcf(c_69156,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_68577,c_26329]) ).
tcf(c_69237,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_68646]) ).
tcf(c_69252,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_68646,c_15772]) ).
tcf(c_69253,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(iPr_def_29),identity) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_68646,c_15741]) ).
tcf(c_69254,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(iPr_def_29,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_68646,c_115]) ).
tcf(c_69255,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_68646,c_15772]) ).
tcf(c_69265,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c12,iPr_def_29) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_68646,c_6812]) ).
tcf(c_69273,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_69255,c_16791]) ).
tcf(c_69276,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_29,multiply(iPr_def_29,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_69252,c_16822]) ).
tcf(c_69291,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_68696]) ).
tcf(c_69292,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_68696]) ).
tcf(c_69305,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19300,c_68696]) ).
tcf(c_69338,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_782,c_68696]) ).
tcf(c_69339,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_781,c_68696]) ).
tcf(c_69340,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_779,c_68696]) ).
tcf(c_69341,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_778,c_68696]) ).
tcf(c_69342,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_776,c_68696]) ).
tcf(c_69343,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_68696,c_15772]) ).
tcf(c_69344,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_68696,c_15741]) ).
tcf(c_69346,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_68696,c_15772]) ).
tcf(c_69347,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_68696,c_26329]) ).
tcf(c_69401,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20925,c_26806]) ).
tcf(c_69402,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20921,c_26806]) ).
tcf(c_69403,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20856,c_26806]) ).
tcf(c_69404,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20852,c_26806]) ).
tcf(c_69405,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18644,c_26806]) ).
tcf(c_69406,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18620,c_26806]) ).
tcf(c_69407,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5784,c_26806]) ).
tcf(c_69408,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5665,c_26806]) ).
tcf(c_69409,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5604,c_26806]) ).
tcf(c_69410,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5602,c_26806]) ).
tcf(c_69411,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5511,c_26806]) ).
tcf(c_69412,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5509,c_26806]) ).
tcf(c_69413,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4861,c_26806]) ).
tcf(c_69414,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4802,c_26806]) ).
tcf(c_69415,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4769,c_26806]) ).
tcf(c_69416,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4767,c_26806]) ).
tcf(c_69417,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4582,c_26806]) ).
tcf(c_69418,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4580,c_26806]) ).
tcf(c_69419,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26806,c_15741]) ).
tcf(c_69420,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_26806,c_114]) ).
tcf(c_69421,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c12 )
| ( multiply(inverse(iPr_def_27),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26806,c_747]) ).
tcf(c_69426,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69418,c_45468]) ).
tcf(c_69433,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69416,c_45468]) ).
tcf(c_69440,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69414,c_45468]) ).
tcf(c_69447,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69412,c_45468]) ).
tcf(c_69451,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69411,c_45468]) ).
tcf(c_69461,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69408,c_45468]) ).
tcf(c_69471,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69405,c_45468]) ).
tcf(c_69481,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69402,c_45468]) ).
tcf(c_69485,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69401,c_45468]) ).
tcf(c_69527,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20925,c_26904]) ).
tcf(c_69528,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20921,c_26904]) ).
tcf(c_69531,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18644,c_26904]) ).
tcf(c_69534,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5665,c_26904]) ).
tcf(c_69537,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5511,c_26904]) ).
tcf(c_69538,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5509,c_26904]) ).
tcf(c_69540,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4802,c_26904]) ).
tcf(c_69541,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4769,c_26904]) ).
tcf(c_69542,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4767,c_26904]) ).
tcf(c_69543,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4582,c_26904]) ).
tcf(c_69544,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4580,c_26904]) ).
tcf(c_69545,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26904,c_15741]) ).
tcf(c_69547,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c12 )
| ( multiply(inverse(iPr_def_27),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_26904,c_747]) ).
tcf(c_69548,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69542,c_45468]) ).
tcf(c_69555,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69544,c_45468]) ).
tcf(c_69599,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69548,c_19609]) ).
tcf(c_69600,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69548,c_18777]) ).
tcf(c_69605,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69548,c_5928]) ).
tcf(c_69606,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69548,c_5861]) ).
tcf(c_69616,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_69548,c_3885]) ).
tcf(c_69617,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69548,c_2538]) ).
tcf(c_69618,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69548,c_2363]) ).
tcf(c_69619,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69548,c_2319]) ).
tcf(c_69620,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_69548,c_3903]) ).
tcf(c_69621,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_69548,c_1359]) ).
tcf(c_69622,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69548,c_731]) ).
tcf(c_69795,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20925,c_27037]) ).
tcf(c_69796,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20921,c_27037]) ).
tcf(c_69799,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18644,c_27037]) ).
tcf(c_69802,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5665,c_27037]) ).
tcf(c_69805,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5511,c_27037]) ).
tcf(c_69806,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5509,c_27037]) ).
tcf(c_69808,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4802,c_27037]) ).
tcf(c_69811,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4582,c_27037]) ).
tcf(c_69812,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4580,c_27037]) ).
tcf(c_69813,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27037,c_15741]) ).
tcf(c_69815,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c12 )
| ( multiply(inverse(iPr_def_27),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_27037,c_747]) ).
tcf(c_69816,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_69812,c_45468]) ).
tcf(c_69862,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_68431]) ).
tcf(c_69863,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_68431]) ).
tcf(c_69868,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_68431]) ).
tcf(c_69869,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_68431]) ).
tcf(c_69870,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_68431]) ).
tcf(c_69871,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_68431]) ).
tcf(c_69872,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_68431]) ).
tcf(c_69873,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_68431]) ).
tcf(c_69876,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_68431]) ).
tcf(c_69877,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_68431]) ).
tcf(c_69878,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_68431]) ).
tcf(c_69879,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_68431]) ).
tcf(c_69880,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_68431,c_15772]) ).
tcf(c_69881,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68431,c_15741]) ).
tcf(c_69882,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_68431,c_115]) ).
tcf(c_69883,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68431,c_15772]) ).
tcf(c_69884,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68431,c_26329]) ).
tcf(c_69971,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_68432]) ).
tcf(c_69972,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_68432]) ).
tcf(c_69977,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_68432]) ).
tcf(c_69978,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_68432]) ).
tcf(c_69979,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_68432]) ).
tcf(c_69980,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_68432]) ).
tcf(c_69981,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_68432]) ).
tcf(c_69982,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_68432]) ).
tcf(c_69985,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_68432]) ).
tcf(c_69986,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_68432]) ).
tcf(c_69987,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_68432]) ).
tcf(c_69988,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_68432]) ).
tcf(c_69989,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_68432,c_15772]) ).
tcf(c_69990,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68432,c_15741]) ).
tcf(c_69991,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_68432,c_115]) ).
tcf(c_69992,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68432,c_15772]) ).
tcf(c_69993,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68432,c_26329]) ).
tcf(c_70080,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_68433]) ).
tcf(c_70081,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_68433]) ).
tcf(c_70086,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_68433]) ).
tcf(c_70087,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_68433]) ).
tcf(c_70088,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_68433]) ).
tcf(c_70089,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_68433]) ).
tcf(c_70090,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_68433]) ).
tcf(c_70091,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_68433]) ).
tcf(c_70094,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_68433]) ).
tcf(c_70095,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_68433]) ).
tcf(c_70096,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_68433]) ).
tcf(c_70097,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_68433]) ).
tcf(c_70098,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_68433,c_15772]) ).
tcf(c_70099,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68433,c_15741]) ).
tcf(c_70100,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_68433,c_115]) ).
tcf(c_70101,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68433,c_15772]) ).
tcf(c_70102,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68433,c_26329]) ).
tcf(c_70189,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38350,c_68434]) ).
tcf(c_70190,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38348,c_68434]) ).
tcf(c_70195,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_68434]) ).
tcf(c_70196,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_68434]) ).
tcf(c_70197,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_68434]) ).
tcf(c_70198,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_68434]) ).
tcf(c_70199,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37778,c_68434]) ).
tcf(c_70200,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37776,c_68434]) ).
tcf(c_70203,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_68434]) ).
tcf(c_70204,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_68434]) ).
tcf(c_70205,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_68434]) ).
tcf(c_70206,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_68434]) ).
tcf(c_70207,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_68434,c_15772]) ).
tcf(c_70208,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68434,c_15741]) ).
tcf(c_70209,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_68434,c_115]) ).
tcf(c_70210,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68434,c_15772]) ).
tcf(c_70211,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_68434,c_26329]) ).
tcf(c_70306,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_69147]) ).
tcf(c_70307,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_69147]) ).
tcf(c_70312,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69147]) ).
tcf(c_70313,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69147]) ).
tcf(c_70314,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69147]) ).
tcf(c_70315,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69147]) ).
tcf(c_70316,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69147,c_15772]) ).
tcf(c_70317,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69147,c_15741]) ).
tcf(c_70318,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69147,c_115]) ).
tcf(c_70319,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69147,c_15772]) ).
tcf(c_70320,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69147,c_26329]) ).
tcf(c_70391,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_69148]) ).
tcf(c_70392,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_69148]) ).
tcf(c_70397,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69148]) ).
tcf(c_70398,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69148]) ).
tcf(c_70399,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69148]) ).
tcf(c_70400,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69148]) ).
tcf(c_70401,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69148,c_15772]) ).
tcf(c_70402,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69148,c_15741]) ).
tcf(c_70403,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69148,c_115]) ).
tcf(c_70404,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69148,c_15772]) ).
tcf(c_70405,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69148,c_26329]) ).
tcf(c_70476,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_69149]) ).
tcf(c_70477,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_69149]) ).
tcf(c_70482,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69149]) ).
tcf(c_70483,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69149]) ).
tcf(c_70484,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69149]) ).
tcf(c_70485,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69149]) ).
tcf(c_70486,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69149,c_15772]) ).
tcf(c_70487,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69149,c_15741]) ).
tcf(c_70488,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69149,c_115]) ).
tcf(c_70489,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69149,c_15772]) ).
tcf(c_70490,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69149,c_26329]) ).
tcf(c_70561,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_69150]) ).
tcf(c_70562,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_69150]) ).
tcf(c_70567,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69150]) ).
tcf(c_70568,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69150]) ).
tcf(c_70569,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69150]) ).
tcf(c_70570,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69150]) ).
tcf(c_70571,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69150,c_15772]) ).
tcf(c_70572,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69150,c_15741]) ).
tcf(c_70573,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69150,c_115]) ).
tcf(c_70574,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69150,c_15772]) ).
tcf(c_70575,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69150,c_26329]) ).
tcf(c_70618,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c11) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_7478]) ).
tcf(c_70619,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26344,c_7478]) ).
tcf(c_70620,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26342,c_7478]) ).
tcf(c_70659,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(iPr_def_16,multiply(multiply(sk_c11,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_7478,c_15772]) ).
tcf(c_70660,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7478,c_15741]) ).
tcf(c_70661,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7478,c_115]) ).
tcf(c_70662,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c11,X1) ) ),
inference(superposition,[status(thm)],[c_7478,c_15772]) ).
tcf(c_70663,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c11)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7478,c_15772]) ).
tcf(c_70665,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7478,c_23181]) ).
tcf(c_70666,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7478,c_23179]) ).
tcf(c_70667,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7478,c_23177]) ).
tcf(c_70669,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7478,c_23173]) ).
tcf(c_70670,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7478,c_23171]) ).
tcf(c_70671,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7478,c_22996]) ).
tcf(c_70868,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_20925,c_69420]) ).
tcf(c_70869,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_20921,c_69420]) ).
tcf(c_70870,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20856,c_69420]) ).
tcf(c_70871,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20852,c_69420]) ).
tcf(c_70872,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_18644,c_69420]) ).
tcf(c_70873,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18620,c_69420]) ).
tcf(c_70874,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5784,c_69420]) ).
tcf(c_70875,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_5665,c_69420]) ).
tcf(c_70876,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5604,c_69420]) ).
tcf(c_70877,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5602,c_69420]) ).
tcf(c_70878,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_5511,c_69420]) ).
tcf(c_70879,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_5509,c_69420]) ).
tcf(c_70880,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4861,c_69420]) ).
tcf(c_70881,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4802,c_69420]) ).
tcf(c_70882,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4769,c_69420]) ).
tcf(c_70883,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4767,c_69420]) ).
tcf(c_70884,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4582,c_69420]) ).
tcf(c_70885,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4580,c_69420]) ).
tcf(c_70886,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_27,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69420,c_15772]) ).
tcf(c_70887,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_69420,c_15741]) ).
tcf(c_70888,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_69420,c_115]) ).
tcf(c_70889,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,identity)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_69420,c_15772]) ).
tcf(c_70899,plain,
( ( identity = iPr_def_20 )
| ( multiply(sk_c11,iPr_def_27) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_69420,c_6807]) ).
tcf(c_70959,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),X0) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_70889,c_16791]) ).
tcf(c_70962,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_27,multiply(iPr_def_27,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_70886,c_16822]) ).
tcf(c_70978,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4122,c_69622]) ).
tcf(c_70979,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4016,c_69622]) ).
tcf(c_71009,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_69622,c_749]) ).
tcf(c_71010,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_25,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69622,c_15772]) ).
tcf(c_71011,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_25),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_69622,c_15741]) ).
tcf(c_71013,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_69622,c_15772]) ).
tcf(c_71014,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_69622,c_45277]) ).
tcf(c_71027,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_71009,c_45468]) ).
tcf(c_71034,plain,
multiply(inverse(iPr_def_20),multiply(sk_c6,iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_20047,c_47380]) ).
tcf(c_71036,plain,
multiply(inverse(iPr_def_14),multiply(sk_c8,iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_21749,c_47380]) ).
tcf(c_71038,plain,
multiply(inverse(sk_c9),multiply(identity,iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_113,c_47380]) ).
tcf(c_71039,plain,
multiply(inverse(identity),multiply(inverse(sk_c9),iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_114,c_47380]) ).
tcf(c_71040,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c9))),multiply(multiply(X0,X1),iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_115,c_47380]) ).
tcf(c_71041,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_29,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26217,c_47380]) ).
tcf(c_71042,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_29,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26153,c_47380]) ).
tcf(c_71043,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_29,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26096,c_47380]) ).
tcf(c_71044,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_29,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_25674,c_47380]) ).
tcf(c_71045,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_29,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_24267,c_47380]) ).
tcf(c_71046,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_29,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_24189,c_47380]) ).
tcf(c_71047,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_29,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_24132,c_47380]) ).
tcf(c_71048,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_29,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_24075,c_47380]) ).
tcf(c_71049,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_29,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_23853,c_47380]) ).
tcf(c_71050,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_24,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31769,c_47380]) ).
tcf(c_71051,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_24,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18422,c_47380]) ).
tcf(c_71052,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_24,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18407,c_47380]) ).
tcf(c_71053,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_24,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18382,c_47380]) ).
tcf(c_71054,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_24,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18367,c_47380]) ).
tcf(c_71055,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_22,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_32025,c_47380]) ).
tcf(c_71056,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_22,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18684,c_47380]) ).
tcf(c_71057,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_22,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18649,c_47380]) ).
tcf(c_71058,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_22,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18624,c_47380]) ).
tcf(c_71059,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_22,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18596,c_47380]) ).
tcf(c_71060,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_20,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_28511,c_47380]) ).
tcf(c_71061,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_20,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20930,c_47380]) ).
tcf(c_71062,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_20,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20895,c_47380]) ).
tcf(c_71063,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_20,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20860,c_47380]) ).
tcf(c_71064,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_20,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20819,c_47380]) ).
tcf(c_71065,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_30868,c_47380]) ).
tcf(c_71066,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_30745,c_47380]) ).
tcf(c_71067,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_30604,c_47380]) ).
tcf(c_71068,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_30451,c_47380]) ).
tcf(c_71069,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_29976,c_47380]) ).
tcf(c_71070,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_29360,c_47380]) ).
tcf(c_71071,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_27039,c_47380]) ).
tcf(c_71072,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26906,c_47380]) ).
tcf(c_71073,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26808,c_47380]) ).
tcf(c_71098,plain,
multiply(inverse(multiply(identity,sk_c9)),iPr_def_18) = sk_c11,
inference(superposition,[status(thm)],[c_113,c_47380]) ).
tcf(c_71099,plain,
multiply(inverse(multiply(inverse(iPr_def_18),sk_c9)),identity) = sk_c11,
inference(superposition,[status(thm)],[c_114,c_47380]) ).
tcf(c_71100,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(multiply(X0,X1),sk_c9)),multiply(X0,multiply(X1,iPr_def_18))) = sk_c11,
inference(superposition,[status(thm)],[c_115,c_47380]) ).
tcf(c_71101,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26217,c_47380]) ).
tcf(c_71102,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26153,c_47380]) ).
tcf(c_71103,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26096,c_47380]) ).
tcf(c_71104,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_25674,c_47380]) ).
tcf(c_71105,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_29,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_24267,c_47380]) ).
tcf(c_71106,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_29,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_24189,c_47380]) ).
tcf(c_71107,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_24132,c_47380]) ).
tcf(c_71108,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_29,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_24075,c_47380]) ).
tcf(c_71109,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_23853,c_47380]) ).
tcf(c_71110,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_31769,c_47380]) ).
tcf(c_71111,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18422,c_47380]) ).
tcf(c_71112,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18407,c_47380]) ).
tcf(c_71113,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18382,c_47380]) ).
tcf(c_71114,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18367,c_47380]) ).
tcf(c_71115,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_32025,c_47380]) ).
tcf(c_71116,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18684,c_47380]) ).
tcf(c_71117,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18649,c_47380]) ).
tcf(c_71118,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18624,c_47380]) ).
tcf(c_71119,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_18596,c_47380]) ).
tcf(c_71120,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_28511,c_47380]) ).
tcf(c_71121,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20930,c_47380]) ).
tcf(c_71122,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20895,c_47380]) ).
tcf(c_71123,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20860,c_47380]) ).
tcf(c_71124,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_20819,c_47380]) ).
tcf(c_71125,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_30868,c_47380]) ).
tcf(c_71126,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_30745,c_47380]) ).
tcf(c_71127,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_30604,c_47380]) ).
tcf(c_71128,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_30451,c_47380]) ).
tcf(c_71129,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_29976,c_47380]) ).
tcf(c_71130,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_29360,c_47380]) ).
tcf(c_71131,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_27039,c_47380]) ).
tcf(c_71132,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26906,c_47380]) ).
tcf(c_71133,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_26808,c_47380]) ).
tcf(c_71134,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,sk_c9)),iPr_def_29) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_28367,c_47380]) ).
tcf(c_71135,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,sk_c9)),iPr_def_29) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_25602,c_47380]) ).
tcf(c_71136,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,sk_c9)),iPr_def_29) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_6184,c_47380]) ).
tcf(c_71137,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,sk_c9)),iPr_def_29) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4714,c_47380]) ).
tcf(c_71138,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,sk_c9)),iPr_def_29) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4621,c_47380]) ).
tcf(c_71139,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c1,sk_c9)),iPr_def_29) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4078,c_47380]) ).
tcf(c_71140,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,sk_c9)),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_28368,c_47380]) ).
tcf(c_71141,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,sk_c9)),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_25603,c_47380]) ).
tcf(c_71142,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,sk_c9)),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_6185,c_47380]) ).
tcf(c_71143,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,sk_c9)),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4715,c_47380]) ).
tcf(c_71144,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,sk_c9)),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4622,c_47380]) ).
tcf(c_71145,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c4,sk_c9)),iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4079,c_47380]) ).
tcf(c_71146,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,sk_c9)),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_28369,c_47380]) ).
tcf(c_71147,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,sk_c9)),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_25604,c_47380]) ).
tcf(c_71148,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,sk_c9)),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_6186,c_47380]) ).
tcf(c_71149,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,sk_c9)),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4716,c_47380]) ).
tcf(c_71150,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,sk_c9)),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4623,c_47380]) ).
tcf(c_71151,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,sk_c9)),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4080,c_47380]) ).
tcf(c_71152,plain,
multiply(inverse(multiply(sk_c6,sk_c9)),multiply(iPr_def_20,sk_c11)) = sk_c11,
inference(superposition,[status(thm)],[c_11706,c_47380]) ).
tcf(c_71153,plain,
multiply(inverse(multiply(sk_c8,sk_c9)),multiply(iPr_def_14,sk_c11)) = sk_c11,
inference(superposition,[status(thm)],[c_12297,c_47380]) ).
tcf(c_71154,plain,
multiply(inverse(multiply(inverse(sk_c9),sk_c9)),sk_c11) = sk_c11,
inference(superposition,[status(thm)],[c_15766,c_47380]) ).
tcf(c_71155,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c11),multiply(inverse(multiply(X0,sk_c9)),multiply(multiply(X0,iPr_def_18),X1))) = X1,
inference(superposition,[status(thm)],[c_47380,c_15772]) ).
tcf(c_71156,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c9))),sk_c11) = multiply(X0,iPr_def_18),
inference(superposition,[status(thm)],[c_47380,c_15741]) ).
tcf(c_71157,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c9)),multiply(multiply(X0,iPr_def_18),X1)) = multiply(sk_c11,X1),
inference(superposition,[status(thm)],[c_47380,c_115]) ).
tcf(c_71158,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c9)))),multiply(X0,sk_c11)) = multiply(X1,iPr_def_18),
inference(superposition,[status(thm)],[c_47380,c_15772]) ).
tcf(c_71159,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c9)),X0)),sk_c11) = iPr_def_18,
inference(superposition,[status(thm)],[c_47380,c_15772]) ).
tcf(c_71160,plain,
multiply(inverse(iPr_def_14),multiply(iPr_def_14,sk_c11)) = sk_c11,
inference(light_normalisation,[status(thm)],[c_71036,c_12297]) ).
tcf(c_71161,plain,
multiply(inverse(iPr_def_20),multiply(iPr_def_20,sk_c11)) = sk_c11,
inference(light_normalisation,[status(thm)],[c_71034,c_11706]) ).
tcf(c_71162,plain,
multiply(identity,sk_c11) = sk_c11,
inference(light_normalisation,[status(thm)],[c_71039,c_15766,c_16822]) ).
tcf(c_71610,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69816,c_19609]) ).
tcf(c_71611,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69816,c_18777]) ).
tcf(c_71617,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69816,c_5861]) ).
tcf(c_71627,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_69816,c_3885]) ).
tcf(c_71628,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69816,c_2538]) ).
tcf(c_71629,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69816,c_2363]) ).
tcf(c_71630,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69816,c_2319]) ).
tcf(c_71631,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_69816,c_3903]) ).
tcf(c_71632,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_69816,c_1359]) ).
tcf(c_71633,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69816,c_731]) ).
tcf(c_71687,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_28509,c_15741]) ).
tcf(c_71688,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_28509,c_114]) ).
tcf(c_71689,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c12 )
| ( multiply(inverse(iPr_def_20),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_28509,c_747]) ).
tcf(c_71729,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20925,c_29358]) ).
tcf(c_71730,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20921,c_29358]) ).
tcf(c_71731,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20856,c_29358]) ).
tcf(c_71732,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20852,c_29358]) ).
tcf(c_71733,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18644,c_29358]) ).
tcf(c_71734,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18620,c_29358]) ).
tcf(c_71735,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5784,c_29358]) ).
tcf(c_71736,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5665,c_29358]) ).
tcf(c_71737,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5604,c_29358]) ).
tcf(c_71738,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5602,c_29358]) ).
tcf(c_71739,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5511,c_29358]) ).
tcf(c_71740,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5509,c_29358]) ).
tcf(c_71741,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4861,c_29358]) ).
tcf(c_71742,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4802,c_29358]) ).
tcf(c_71743,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4769,c_29358]) ).
tcf(c_71744,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4767,c_29358]) ).
tcf(c_71745,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4582,c_29358]) ).
tcf(c_71746,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4580,c_29358]) ).
tcf(c_71747,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29358,c_15741]) ).
tcf(c_71748,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_29358,c_114]) ).
tcf(c_71749,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c12 )
| ( multiply(inverse(iPr_def_27),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_29358,c_747]) ).
tcf(c_71754,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71746,c_45468]) ).
tcf(c_71761,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71744,c_45468]) ).
tcf(c_71768,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71742,c_45468]) ).
tcf(c_71775,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71740,c_45468]) ).
tcf(c_71779,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71739,c_45468]) ).
tcf(c_71789,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71736,c_45468]) ).
tcf(c_71799,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71733,c_45468]) ).
tcf(c_71809,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71730,c_45468]) ).
tcf(c_71813,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71729,c_45468]) ).
tcf(c_71897,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20925,c_29974]) ).
tcf(c_71898,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20921,c_29974]) ).
tcf(c_71899,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20856,c_29974]) ).
tcf(c_71900,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20852,c_29974]) ).
tcf(c_71901,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18644,c_29974]) ).
tcf(c_71902,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18620,c_29974]) ).
tcf(c_71903,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5784,c_29974]) ).
tcf(c_71904,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5665,c_29974]) ).
tcf(c_71905,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5604,c_29974]) ).
tcf(c_71906,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5602,c_29974]) ).
tcf(c_71907,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5511,c_29974]) ).
tcf(c_71908,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5509,c_29974]) ).
tcf(c_71909,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4861,c_29974]) ).
tcf(c_71910,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4802,c_29974]) ).
tcf(c_71911,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4769,c_29974]) ).
tcf(c_71912,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4767,c_29974]) ).
tcf(c_71913,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4582,c_29974]) ).
tcf(c_71914,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4580,c_29974]) ).
tcf(c_71915,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29974,c_15741]) ).
tcf(c_71916,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_27) = identity ) ),
inference(superposition,[status(thm)],[c_29974,c_114]) ).
tcf(c_71917,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c12 )
| ( multiply(inverse(iPr_def_27),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_29974,c_747]) ).
tcf(c_71922,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71914,c_45468]) ).
tcf(c_71929,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71912,c_45468]) ).
tcf(c_71936,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71910,c_45468]) ).
tcf(c_71943,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71908,c_45468]) ).
tcf(c_71947,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71907,c_45468]) ).
tcf(c_71957,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71904,c_45468]) ).
tcf(c_71967,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71901,c_45468]) ).
tcf(c_71977,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71898,c_45468]) ).
tcf(c_71981,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_71897,c_45468]) ).
tcf(c_72047,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37930,c_69151]) ).
tcf(c_72048,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_37929,c_69151]) ).
tcf(c_72053,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69151]) ).
tcf(c_72054,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69151]) ).
tcf(c_72055,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69151]) ).
tcf(c_72056,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69151]) ).
tcf(c_72057,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69151,c_15772]) ).
tcf(c_72058,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69151,c_15741]) ).
tcf(c_72059,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69151,c_115]) ).
tcf(c_72060,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69151,c_15772]) ).
tcf(c_72061,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69151,c_26329]) ).
tcf(c_72168,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_69338]) ).
tcf(c_72169,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_69338]) ).
tcf(c_72176,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69338]) ).
tcf(c_72177,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69338]) ).
tcf(c_72178,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69338]) ).
tcf(c_72179,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69338]) ).
tcf(c_72180,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69338,c_15772]) ).
tcf(c_72181,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69338,c_15741]) ).
tcf(c_72182,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69338,c_115]) ).
tcf(c_72183,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69338,c_15772]) ).
tcf(c_72184,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69338,c_26329]) ).
tcf(c_72279,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_69339]) ).
tcf(c_72280,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_69339]) ).
tcf(c_72287,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69339]) ).
tcf(c_72288,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69339]) ).
tcf(c_72289,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69339]) ).
tcf(c_72290,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69339]) ).
tcf(c_72291,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69339,c_15772]) ).
tcf(c_72292,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69339,c_15741]) ).
tcf(c_72293,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69339,c_115]) ).
tcf(c_72294,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69339,c_15772]) ).
tcf(c_72295,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69339,c_26329]) ).
tcf(c_72398,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_69340]) ).
tcf(c_72399,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_69340]) ).
tcf(c_72406,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69340]) ).
tcf(c_72407,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69340]) ).
tcf(c_72408,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69340]) ).
tcf(c_72409,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69340]) ).
tcf(c_72410,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69340,c_15772]) ).
tcf(c_72411,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69340,c_15741]) ).
tcf(c_72412,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69340,c_115]) ).
tcf(c_72413,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69340,c_15772]) ).
tcf(c_72414,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69340,c_26329]) ).
tcf(c_72661,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_69341]) ).
tcf(c_72662,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_69341]) ).
tcf(c_72669,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69341]) ).
tcf(c_72670,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69341]) ).
tcf(c_72671,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69341]) ).
tcf(c_72672,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69341]) ).
tcf(c_72673,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69341,c_15772]) ).
tcf(c_72674,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69341,c_15741]) ).
tcf(c_72675,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69341,c_115]) ).
tcf(c_72676,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69341,c_15772]) ).
tcf(c_72677,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69341,c_26329]) ).
tcf(c_72910,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38006,c_69342]) ).
tcf(c_72911,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_38004,c_69342]) ).
tcf(c_72918,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31585,c_69342]) ).
tcf(c_72919,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31584,c_69342]) ).
tcf(c_72920,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31300,c_69342]) ).
tcf(c_72921,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31299,c_69342]) ).
tcf(c_72922,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69342,c_15772]) ).
tcf(c_72923,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69342,c_15741]) ).
tcf(c_72924,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_69342,c_115]) ).
tcf(c_72925,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_27)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69342,c_15772]) ).
tcf(c_72926,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69342,c_26329]) ).
tcf(c_72975,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7607,c_15772]) ).
tcf(c_72976,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7607,c_15741]) ).
tcf(c_72977,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7607,c_115]) ).
tcf(c_72978,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7607,c_15772]) ).
tcf(c_72980,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7607,c_19287]) ).
tcf(c_72981,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7607,c_3889]) ).
tcf(c_72982,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_72980,c_11706]) ).
tcf(c_72987,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_72981,c_12297]) ).
tcf(c_73028,plain,
inverse(multiply(inverse(iPr_def_18),sk_c9)) = sk_c11,
inference(demodulation,[status(thm)],[c_71099,c_16791]) ).
tcf(c_73041,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_807,c_73028]) ).
tcf(c_73042,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_804,c_73028]) ).
tcf(c_73043,plain,
( ( sk_c12 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_797,c_73028]) ).
tcf(c_73044,plain,
( ( sk_c12 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_794,c_73028]) ).
tcf(c_73045,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_787,c_73028]) ).
tcf(c_73046,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_784,c_73028]) ).
tcf(c_73047,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_777,c_73028]) ).
tcf(c_73048,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_774,c_73028]) ).
tcf(c_73049,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_767,c_73028]) ).
tcf(c_73050,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_764,c_73028]) ).
tcf(c_73051,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_757,c_73028]) ).
tcf(c_73052,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_754,c_73028]) ).
tcf(c_73053,plain,
! [X0: $i] : multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0,
inference(superposition,[status(thm)],[c_73028,c_15741]) ).
tcf(c_73054,plain,
multiply(sk_c11,multiply(inverse(iPr_def_18),sk_c9)) = identity,
inference(superposition,[status(thm)],[c_73028,c_114]) ).
tcf(c_73055,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),sk_c9)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),sk_c9)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),sk_c9),inverse(multiply(inverse(iPr_def_18),sk_c9))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73028,c_747]) ).
tcf(c_73056,plain,
! [X0: $i] : multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_73028,c_15772]) ).
tcf(c_73057,plain,
multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_73028,c_47380]) ).
tcf(c_73082,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(sk_c11,sk_c11) != sk_c12 )
| ( inverse(inverse(X0)) != sk_c11 )
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c11) != sk_c12 ) ),
inference(light_normalisation,[status(thm)],[c_73055,c_73028]) ).
tcf(c_73106,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73054]) ).
tcf(c_73107,plain,
( ( identity = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73054]) ).
tcf(c_73108,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_19300,c_73054]) ).
tcf(c_73109,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_19297,c_73054]) ).
tcf(c_73122,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73054]) ).
tcf(c_73123,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73054]) ).
tcf(c_73124,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_2777,c_73054]) ).
tcf(c_73125,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_2688,c_73054]) ).
tcf(c_73126,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73054]) ).
tcf(c_73127,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73054]) ).
tcf(c_73128,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73054]) ).
tcf(c_73129,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73054]) ).
tcf(c_73130,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_1556,c_73054]) ).
tcf(c_73131,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_1528,c_73054]) ).
tcf(c_73132,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73054]) ).
tcf(c_73133,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73054]) ).
tcf(c_73134,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_812,c_73054]) ).
tcf(c_73135,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_811,c_73054]) ).
tcf(c_73136,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_809,c_73054]) ).
tcf(c_73137,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_808,c_73054]) ).
tcf(c_73138,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_806,c_73054]) ).
tcf(c_73139,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_802,c_73054]) ).
tcf(c_73140,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_799,c_73054]) ).
tcf(c_73141,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_782,c_73054]) ).
tcf(c_73142,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_781,c_73054]) ).
tcf(c_73143,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_779,c_73054]) ).
tcf(c_73144,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_778,c_73054]) ).
tcf(c_73145,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_776,c_73054]) ).
tcf(c_73158,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_807,c_73054]) ).
tcf(c_73159,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_804,c_73054]) ).
tcf(c_73160,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_797,c_73054]) ).
tcf(c_73161,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_794,c_73054]) ).
tcf(c_73162,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73054]) ).
tcf(c_73163,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73054]) ).
tcf(c_73164,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_777,c_73054]) ).
tcf(c_73165,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_774,c_73054]) ).
tcf(c_73166,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_767,c_73054]) ).
tcf(c_73167,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_764,c_73054]) ).
tcf(c_73168,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73054]) ).
tcf(c_73169,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73054]) ).
tcf(c_73170,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0,
inference(superposition,[status(thm)],[c_73054,c_15772]) ).
tcf(c_73171,plain,
multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),sk_c9),
inference(superposition,[status(thm)],[c_73054,c_15741]) ).
tcf(c_73172,plain,
! [X0: $i] : multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_73054,c_115]) ).
tcf(c_73173,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9),
inference(superposition,[status(thm)],[c_73054,c_15772]) ).
tcf(c_73174,plain,
multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = sk_c9,
inference(superposition,[status(thm)],[c_73054,c_15772]) ).
tcf(c_73175,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73054,c_7478]) ).
tcf(c_73176,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73054,c_7297]) ).
tcf(c_73177,plain,
multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = multiply(sk_c2,identity),
inference(superposition,[status(thm)],[c_73054,c_3884]) ).
tcf(c_73178,plain,
multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c9)) = multiply(sk_c9,identity),
inference(superposition,[status(thm)],[c_73054,c_3882]) ).
tcf(c_73179,plain,
multiply(iPr_def_22,multiply(inverse(iPr_def_18),sk_c9)) = multiply(sk_c5,identity),
inference(superposition,[status(thm)],[c_73054,c_3880]) ).
tcf(c_73261,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c11)),X0) = multiply(inverse(iPr_def_18),sk_c9),
inference(light_normalisation,[status(thm)],[c_73173,c_16791]) ).
tcf(c_73400,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4016,c_71633]) ).
tcf(c_73430,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_71633,c_749]) ).
tcf(c_73431,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_25,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_71633,c_15772]) ).
tcf(c_73432,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_71633,c_15741]) ).
tcf(c_73434,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_71633,c_15772]) ).
tcf(c_73435,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_71633,c_45277]) ).
tcf(c_73445,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_73430,c_45468]) ).
tcf(c_73641,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20925,c_30449]) ).
tcf(c_73642,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20921,c_30449]) ).
tcf(c_73643,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20856,c_30449]) ).
tcf(c_73644,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20852,c_30449]) ).
tcf(c_73645,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18644,c_30449]) ).
tcf(c_73647,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5784,c_30449]) ).
tcf(c_73648,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5665,c_30449]) ).
tcf(c_73649,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5604,c_30449]) ).
tcf(c_73650,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5602,c_30449]) ).
tcf(c_73651,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5511,c_30449]) ).
tcf(c_73652,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5509,c_30449]) ).
tcf(c_73653,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4861,c_30449]) ).
tcf(c_73654,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4802,c_30449]) ).
tcf(c_73659,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_30449,c_15741]) ).
tcf(c_73661,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c12 )
| ( multiply(inverse(iPr_def_27),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_30449,c_747]) ).
tcf(c_73662,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73648,c_45468]) ).
tcf(c_73669,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73654,c_45468]) ).
tcf(c_73676,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73652,c_45468]) ).
tcf(c_73680,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73651,c_45468]) ).
tcf(c_73697,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73642,c_45468]) ).
tcf(c_73701,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73641,c_45468]) ).
tcf(c_73726,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73662,c_19609]) ).
tcf(c_73727,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73662,c_18777]) ).
tcf(c_73731,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73662,c_6039]) ).
tcf(c_73743,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_73662,c_3885]) ).
tcf(c_73744,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73662,c_2538]) ).
tcf(c_73745,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73662,c_2363]) ).
tcf(c_73746,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73662,c_2319]) ).
tcf(c_73747,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73662,c_3903]) ).
tcf(c_73748,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_73662,c_1359]) ).
tcf(c_73749,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73662,c_731]) ).
tcf(c_73791,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20925,c_30602]) ).
tcf(c_73792,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20921,c_30602]) ).
tcf(c_73794,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20852,c_30602]) ).
tcf(c_73795,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18644,c_30602]) ).
tcf(c_73799,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5604,c_30602]) ).
tcf(c_73800,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5602,c_30602]) ).
tcf(c_73801,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5511,c_30602]) ).
tcf(c_73802,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5509,c_30602]) ).
tcf(c_73803,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4861,c_30602]) ).
tcf(c_73804,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4802,c_30602]) ).
tcf(c_73809,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_30602,c_15741]) ).
tcf(c_73811,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c12 )
| ( multiply(inverse(iPr_def_27),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_30602,c_747]) ).
tcf(c_73812,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73802,c_45468]) ).
tcf(c_73819,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73804,c_45468]) ).
tcf(c_73826,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73801,c_45468]) ).
tcf(c_73837,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73792,c_45468]) ).
tcf(c_73863,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73812,c_19609]) ).
tcf(c_73864,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73812,c_18777]) ).
tcf(c_73868,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73812,c_6039]) ).
tcf(c_73880,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_73812,c_3885]) ).
tcf(c_73881,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73812,c_2538]) ).
tcf(c_73882,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73812,c_2363]) ).
tcf(c_73883,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73812,c_2319]) ).
tcf(c_73884,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73812,c_3903]) ).
tcf(c_73885,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_73812,c_1359]) ).
tcf(c_73886,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73812,c_731]) ).
tcf(c_74089,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73041,c_15741]) ).
tcf(c_74091,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73041,c_747]) ).
tcf(c_74092,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73041,c_15772]) ).
tcf(c_74110,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73042,c_15741]) ).
tcf(c_74112,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73042,c_747]) ).
tcf(c_74113,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73042,c_15772]) ).
tcf(c_74131,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73043,c_15741]) ).
tcf(c_74133,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73043,c_747]) ).
tcf(c_74134,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73043,c_15772]) ).
tcf(c_74152,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73044,c_15741]) ).
tcf(c_74154,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73044,c_747]) ).
tcf(c_74155,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73044,c_15772]) ).
tcf(c_74173,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73045,c_15741]) ).
tcf(c_74175,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73045,c_747]) ).
tcf(c_74176,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73045,c_15772]) ).
tcf(c_74194,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73046,c_15741]) ).
tcf(c_74196,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73046,c_747]) ).
tcf(c_74197,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73046,c_15772]) ).
tcf(c_74215,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73047,c_15741]) ).
tcf(c_74217,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73047,c_747]) ).
tcf(c_74218,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73047,c_15772]) ).
tcf(c_74236,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73048,c_15741]) ).
tcf(c_74238,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73048,c_747]) ).
tcf(c_74239,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73048,c_15772]) ).
tcf(c_74259,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7608,c_15772]) ).
tcf(c_74260,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7608,c_15741]) ).
tcf(c_74261,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7608,c_115]) ).
tcf(c_74262,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7608,c_15772]) ).
tcf(c_74264,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7608,c_19287]) ).
tcf(c_74265,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7608,c_3889]) ).
tcf(c_74266,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_74264,c_11706]) ).
tcf(c_74271,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_74265,c_12297]) ).
tcf(c_74527,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_71688,c_15772]) ).
tcf(c_74528,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_71688,c_15741]) ).
tcf(c_74529,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_71688,c_115]) ).
tcf(c_74530,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_71688,c_15772]) ).
tcf(c_74536,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c9,iPr_def_20) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_71688,c_7194]) ).
tcf(c_74542,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_74530,c_16791]) ).
tcf(c_74545,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_74527,c_16822]) ).
tcf(c_74599,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_20925,c_71748]) ).
tcf(c_74600,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_20921,c_71748]) ).
tcf(c_74601,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20856,c_71748]) ).
tcf(c_74602,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20852,c_71748]) ).
tcf(c_74603,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_18644,c_71748]) ).
tcf(c_74604,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18620,c_71748]) ).
tcf(c_74605,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5784,c_71748]) ).
tcf(c_74606,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_5665,c_71748]) ).
tcf(c_74607,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5604,c_71748]) ).
tcf(c_74608,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5602,c_71748]) ).
tcf(c_74609,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_5511,c_71748]) ).
tcf(c_74610,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_5509,c_71748]) ).
tcf(c_74611,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4861,c_71748]) ).
tcf(c_74612,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4802,c_71748]) ).
tcf(c_74613,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4769,c_71748]) ).
tcf(c_74614,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4767,c_71748]) ).
tcf(c_74615,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4582,c_71748]) ).
tcf(c_74616,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4580,c_71748]) ).
tcf(c_74617,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(identity),multiply(iPr_def_27,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_71748,c_15772]) ).
tcf(c_74618,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_71748,c_15741]) ).
tcf(c_74619,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_71748,c_115]) ).
tcf(c_74620,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,identity)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_71748,c_15772]) ).
tcf(c_74630,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c11,iPr_def_27) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_71748,c_6807]) ).
tcf(c_74690,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),X0) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_74620,c_16791]) ).
tcf(c_74693,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_27,multiply(iPr_def_27,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_74617,c_16822]) ).
tcf(c_74747,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_20925,c_71916]) ).
tcf(c_74748,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_20921,c_71916]) ).
tcf(c_74749,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20856,c_71916]) ).
tcf(c_74750,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20852,c_71916]) ).
tcf(c_74751,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_18644,c_71916]) ).
tcf(c_74752,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18620,c_71916]) ).
tcf(c_74753,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5784,c_71916]) ).
tcf(c_74754,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_5665,c_71916]) ).
tcf(c_74755,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5604,c_71916]) ).
tcf(c_74756,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_5602,c_71916]) ).
tcf(c_74757,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_5511,c_71916]) ).
tcf(c_74758,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_5509,c_71916]) ).
tcf(c_74759,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4861,c_71916]) ).
tcf(c_74760,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4802,c_71916]) ).
tcf(c_74761,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4769,c_71916]) ).
tcf(c_74762,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4767,c_71916]) ).
tcf(c_74763,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4582,c_71916]) ).
tcf(c_74764,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4580,c_71916]) ).
tcf(c_74765,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_27,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_71916,c_15772]) ).
tcf(c_74766,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_71916,c_15741]) ).
tcf(c_74767,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_71916,c_115]) ).
tcf(c_74768,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,identity)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_71916,c_15772]) ).
tcf(c_74778,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c11,iPr_def_27) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_71916,c_6807]) ).
tcf(c_74838,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),X0) = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_74768,c_16791]) ).
tcf(c_74841,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_27,multiply(iPr_def_27,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_74765,c_16822]) ).
tcf(c_74850,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20889,c_73749]) ).
tcf(c_74851,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20885,c_73749]) ).
tcf(c_74853,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4360,c_73749]) ).
tcf(c_74854,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4276,c_73749]) ).
tcf(c_74855,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4275,c_73749]) ).
tcf(c_74856,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4180,c_73749]) ).
tcf(c_74888,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_73749,c_749]) ).
tcf(c_74889,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_25,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73749,c_15772]) ).
tcf(c_74890,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_25),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_73749,c_15741]) ).
tcf(c_74892,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_73749,c_15772]) ).
tcf(c_74893,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_73749,c_45277]) ).
tcf(c_74918,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_74888,c_45468]) ).
tcf(c_74938,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20925,c_30743]) ).
tcf(c_74939,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20921,c_30743]) ).
tcf(c_74942,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18644,c_30743]) ).
tcf(c_74948,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5511,c_30743]) ).
tcf(c_74950,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4861,c_30743]) ).
tcf(c_74951,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4802,c_30743]) ).
tcf(c_74956,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_30743,c_15741]) ).
tcf(c_74958,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c12 )
| ( multiply(inverse(iPr_def_27),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_30743,c_747]) ).
tcf(c_74959,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_74951,c_45468]) ).
tcf(c_74991,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74959,c_19609]) ).
tcf(c_74992,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74959,c_18777]) ).
tcf(c_74996,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74959,c_6039]) ).
tcf(c_75008,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_74959,c_3885]) ).
tcf(c_75009,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74959,c_2538]) ).
tcf(c_75010,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74959,c_2363]) ).
tcf(c_75011,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74959,c_2319]) ).
tcf(c_75012,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_74959,c_3903]) ).
tcf(c_75013,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_74959,c_1359]) ).
tcf(c_75014,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74959,c_731]) ).
tcf(c_75057,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20925,c_30866]) ).
tcf(c_75058,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20921,c_30866]) ).
tcf(c_75061,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18644,c_30866]) ).
tcf(c_75065,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5604,c_30866]) ).
tcf(c_75067,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_5511,c_30866]) ).
tcf(c_75075,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(iPr_def_27,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_30866,c_15741]) ).
tcf(c_75077,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c12 )
| ( multiply(inverse(iPr_def_27),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_30866,c_747]) ).
tcf(c_75078,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c3 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_75067,c_45468]) ).
tcf(c_75109,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_75078,c_19609]) ).
tcf(c_75110,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_75078,c_18777]) ).
tcf(c_75114,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_75078,c_6039]) ).
tcf(c_75126,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_75078,c_3885]) ).
tcf(c_75127,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_75078,c_2538]) ).
tcf(c_75128,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_75078,c_2363]) ).
tcf(c_75129,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_75078,c_2319]) ).
tcf(c_75130,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_75078,c_3903]) ).
tcf(c_75131,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_75078,c_1359]) ).
tcf(c_75132,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_75078,c_731]) ).
tcf(c_75184,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73049,c_15741]) ).
tcf(c_75186,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73049,c_747]) ).
tcf(c_75187,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73049,c_15772]) ).
tcf(c_75471,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73050,c_15741]) ).
tcf(c_75473,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73050,c_747]) ).
tcf(c_75474,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73050,c_15772]) ).
tcf(c_75492,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73051,c_15741]) ).
tcf(c_75494,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_19)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_19)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_19),inverse(multiply(inverse(iPr_def_18),iPr_def_19))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73051,c_747]) ).
tcf(c_75495,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73051,c_15772]) ).
tcf(c_75513,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_73052,c_15741]) ).
tcf(c_75515,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_18),iPr_def_16)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_18),iPr_def_16)),sk_c11) != sk_c12 )
| ( multiply(multiply(inverse(iPr_def_18),iPr_def_16),inverse(multiply(inverse(iPr_def_18),iPr_def_16))) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_73052,c_747]) ).
tcf(c_75516,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_18),multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73052,c_15772]) ).
tcf(c_75543,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_73134]) ).
tcf(c_75544,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31995,c_73134]) ).
tcf(c_75545,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31746,c_73134]) ).
tcf(c_75546,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_73134]) ).
tcf(c_75547,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_73134]) ).
tcf(c_75548,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_73134]) ).
tcf(c_75549,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30434,c_73134]) ).
tcf(c_75550,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_73134]) ).
tcf(c_75551,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_73134]) ).
tcf(c_75577,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73134]) ).
tcf(c_75578,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73134]) ).
tcf(c_75581,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_767,c_73134]) ).
tcf(c_75582,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_764,c_73134]) ).
tcf(c_75583,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73134]) ).
tcf(c_75584,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73134]) ).
tcf(c_75585,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73134,c_15772]) ).
tcf(c_75586,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_29),identity) ) ),
inference(superposition,[status(thm)],[c_73134,c_15741]) ).
tcf(c_75587,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73134,c_115]) ).
tcf(c_75588,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73134,c_15772]) ).
tcf(c_75589,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73134,c_15772]) ).
tcf(c_75590,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73134,c_26217]) ).
tcf(c_75591,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73134,c_26153]) ).
tcf(c_75592,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73134,c_26096]) ).
tcf(c_75593,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73134,c_25674]) ).
tcf(c_75594,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73134,c_24267]) ).
tcf(c_75595,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73134,c_24189]) ).
tcf(c_75596,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73134,c_24132]) ).
tcf(c_75597,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73134,c_24075]) ).
tcf(c_75598,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73134,c_23853]) ).
tcf(c_75599,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c12,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_73134,c_6812]) ).
tcf(c_75633,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_75587,c_113]) ).
tcf(c_75654,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75551,c_73177]) ).
tcf(c_75658,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75550,c_73177]) ).
tcf(c_75662,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75549,c_73177]) ).
tcf(c_75666,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75548,c_73177]) ).
tcf(c_75670,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75547,c_73177]) ).
tcf(c_75674,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75546,c_73177]) ).
tcf(c_75678,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75545,c_73177]) ).
tcf(c_75682,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75544,c_73177]) ).
tcf(c_75686,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75543,c_73177]) ).
tcf(c_75690,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_75588,c_16791]) ).
tcf(c_75693,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_75585,c_16822]) ).
tcf(c_75712,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_73135]) ).
tcf(c_75713,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31995,c_73135]) ).
tcf(c_75714,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31746,c_73135]) ).
tcf(c_75715,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_73135]) ).
tcf(c_75716,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_73135]) ).
tcf(c_75717,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_73135]) ).
tcf(c_75718,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30434,c_73135]) ).
tcf(c_75719,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_73135]) ).
tcf(c_75720,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_73135]) ).
tcf(c_75746,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73135]) ).
tcf(c_75747,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73135]) ).
tcf(c_75752,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73135]) ).
tcf(c_75753,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73135]) ).
tcf(c_75754,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73135,c_15772]) ).
tcf(c_75755,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_29),identity) ) ),
inference(superposition,[status(thm)],[c_73135,c_15741]) ).
tcf(c_75756,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73135,c_115]) ).
tcf(c_75757,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73135,c_15772]) ).
tcf(c_75758,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73135,c_15772]) ).
tcf(c_75759,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73135,c_26217]) ).
tcf(c_75760,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73135,c_26153]) ).
tcf(c_75761,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73135,c_26096]) ).
tcf(c_75762,plain,
( ( identity = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73135,c_25674]) ).
tcf(c_75763,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73135,c_24267]) ).
tcf(c_75764,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73135,c_24189]) ).
tcf(c_75765,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73135,c_24132]) ).
tcf(c_75766,plain,
( ( identity = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73135,c_24075]) ).
tcf(c_75767,plain,
( ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73135,c_23853]) ).
tcf(c_75768,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c12,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_73135,c_6812]) ).
tcf(c_75802,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_75756,c_113]) ).
tcf(c_75817,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75720,c_73177]) ).
tcf(c_75821,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75719,c_73177]) ).
tcf(c_75825,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75718,c_73177]) ).
tcf(c_75829,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75717,c_73177]) ).
tcf(c_75833,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75716,c_73177]) ).
tcf(c_75837,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75715,c_73177]) ).
tcf(c_75841,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75714,c_73177]) ).
tcf(c_75845,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75713,c_73177]) ).
tcf(c_75849,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_75712,c_73177]) ).
tcf(c_75853,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_75757,c_16791]) ).
tcf(c_75856,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_75754,c_16822]) ).
tcf(c_76010,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_73136]) ).
tcf(c_76011,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31995,c_73136]) ).
tcf(c_76012,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31746,c_73136]) ).
tcf(c_76013,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_73136]) ).
tcf(c_76014,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_73136]) ).
tcf(c_76015,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_73136]) ).
tcf(c_76016,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30434,c_73136]) ).
tcf(c_76017,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_73136]) ).
tcf(c_76018,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_73136]) ).
tcf(c_76044,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73136]) ).
tcf(c_76045,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73136]) ).
tcf(c_76050,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73136]) ).
tcf(c_76051,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73136]) ).
tcf(c_76052,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73136,c_15772]) ).
tcf(c_76053,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_29),identity) ) ),
inference(superposition,[status(thm)],[c_73136,c_15741]) ).
tcf(c_76054,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73136,c_115]) ).
tcf(c_76055,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73136,c_15772]) ).
tcf(c_76056,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_29,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73136,c_15772]) ).
tcf(c_76057,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73136,c_26217]) ).
tcf(c_76058,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73136,c_26153]) ).
tcf(c_76059,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73136,c_26096]) ).
tcf(c_76060,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73136,c_25674]) ).
tcf(c_76061,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73136,c_24267]) ).
tcf(c_76062,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73136,c_24189]) ).
tcf(c_76063,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73136,c_24132]) ).
tcf(c_76064,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73136,c_24075]) ).
tcf(c_76065,plain,
( ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73136,c_23853]) ).
tcf(c_76066,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c12,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_73136,c_6812]) ).
tcf(c_76100,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_76054,c_113]) ).
tcf(c_76115,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76018,c_73177]) ).
tcf(c_76119,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76017,c_73177]) ).
tcf(c_76123,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76016,c_73177]) ).
tcf(c_76127,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76015,c_73177]) ).
tcf(c_76131,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76014,c_73177]) ).
tcf(c_76135,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76013,c_73177]) ).
tcf(c_76139,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76012,c_73177]) ).
tcf(c_76143,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76011,c_73177]) ).
tcf(c_76147,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76010,c_73177]) ).
tcf(c_76151,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_76055,c_16791]) ).
tcf(c_76154,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_76052,c_16822]) ).
tcf(c_76173,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_73137]) ).
tcf(c_76174,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31995,c_73137]) ).
tcf(c_76175,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31746,c_73137]) ).
tcf(c_76176,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_73137]) ).
tcf(c_76177,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_73137]) ).
tcf(c_76178,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_73137]) ).
tcf(c_76179,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30434,c_73137]) ).
tcf(c_76180,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_73137]) ).
tcf(c_76181,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_73137]) ).
tcf(c_76207,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73137]) ).
tcf(c_76208,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73137]) ).
tcf(c_76211,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_767,c_73137]) ).
tcf(c_76212,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_764,c_73137]) ).
tcf(c_76213,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73137]) ).
tcf(c_76214,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73137]) ).
tcf(c_76215,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73137,c_15772]) ).
tcf(c_76216,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_29),identity) ) ),
inference(superposition,[status(thm)],[c_73137,c_15741]) ).
tcf(c_76217,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73137,c_115]) ).
tcf(c_76218,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73137,c_15772]) ).
tcf(c_76219,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73137,c_15772]) ).
tcf(c_76220,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73137,c_26217]) ).
tcf(c_76221,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73137,c_26153]) ).
tcf(c_76222,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73137,c_26096]) ).
tcf(c_76223,plain,
( ( identity = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73137,c_25674]) ).
tcf(c_76224,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73137,c_24267]) ).
tcf(c_76225,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73137,c_24189]) ).
tcf(c_76226,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73137,c_24132]) ).
tcf(c_76227,plain,
( ( identity = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73137,c_24075]) ).
tcf(c_76228,plain,
( ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73137,c_23853]) ).
tcf(c_76229,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c12,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_73137,c_6812]) ).
tcf(c_76263,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_76217,c_113]) ).
tcf(c_76284,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76181,c_73177]) ).
tcf(c_76288,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76180,c_73177]) ).
tcf(c_76292,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76179,c_73177]) ).
tcf(c_76296,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76178,c_73177]) ).
tcf(c_76300,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76177,c_73177]) ).
tcf(c_76304,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76176,c_73177]) ).
tcf(c_76308,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76175,c_73177]) ).
tcf(c_76312,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76174,c_73177]) ).
tcf(c_76316,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_76173,c_73177]) ).
tcf(c_76320,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_76218,c_16791]) ).
tcf(c_76323,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_76215,c_16822]) ).
tcf(c_76662,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7611,c_15772]) ).
tcf(c_76663,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7611,c_15741]) ).
tcf(c_76664,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7611,c_115]) ).
tcf(c_76665,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7611,c_15772]) ).
tcf(c_76667,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7611,c_19287]) ).
tcf(c_76668,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7611,c_3889]) ).
tcf(c_76669,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_76667,c_11706]) ).
tcf(c_76674,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_76668,c_12297]) ).
tcf(c_76742,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20885,c_73886]) ).
tcf(c_76745,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4276,c_73886]) ).
tcf(c_76746,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4275,c_73886]) ).
tcf(c_76747,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4180,c_73886]) ).
tcf(c_76779,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_73886,c_749]) ).
tcf(c_76780,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_25,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73886,c_15772]) ).
tcf(c_76781,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_25),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_73886,c_15741]) ).
tcf(c_76783,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_73886,c_15772]) ).
tcf(c_76784,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_73886,c_45277]) ).
tcf(c_76803,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_76779,c_45468]) ).
tcf(c_76864,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4180,c_75014]) ).
tcf(c_76896,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75014,c_749]) ).
tcf(c_76897,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_25,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75014,c_15772]) ).
tcf(c_76898,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_75014,c_15741]) ).
tcf(c_76900,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_75014,c_15772]) ).
tcf(c_76901,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_75014,c_45277]) ).
tcf(c_76911,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_76896,c_45468]) ).
tcf(c_76967,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4276,c_75132]) ).
tcf(c_77001,plain,
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_75132,c_749]) ).
tcf(c_77002,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_25,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_75132,c_15772]) ).
tcf(c_77003,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(iPr_def_25),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_75132,c_15741]) ).
tcf(c_77005,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_75132,c_15772]) ).
tcf(c_77006,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_75132,c_45277]) ).
tcf(c_77016,plain,
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_77001,c_45468]) ).
tcf(c_77081,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_31767,c_15741]) ).
tcf(c_77082,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_31767,c_114]) ).
tcf(c_77083,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c12 )
| ( multiply(inverse(iPr_def_24),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_31767,c_747]) ).
tcf(c_77109,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32023,c_15741]) ).
tcf(c_77110,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_32023,c_114]) ).
tcf(c_77111,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c12 )
| ( multiply(inverse(iPr_def_22),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_32023,c_747]) ).
tcf(c_77135,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_34903,c_747]) ).
tcf(c_77170,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_35132,c_45468]) ).
tcf(c_77187,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77170,c_69816]) ).
tcf(c_77188,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77170,c_69548]) ).
tcf(c_77198,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77170,c_19609]) ).
tcf(c_77199,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77170,c_18777]) ).
tcf(c_77204,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77170,c_5928]) ).
tcf(c_77205,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77170,c_5861]) ).
tcf(c_77215,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_77170,c_3885]) ).
tcf(c_77216,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77170,c_2538]) ).
tcf(c_77217,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77170,c_2363]) ).
tcf(c_77218,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77170,c_2319]) ).
tcf(c_77221,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77170,c_731]) ).
tcf(c_77222,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(sk_c2) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77170,c_741]) ).
tcf(c_77284,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_32002,c_73138]) ).
tcf(c_77285,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31995,c_73138]) ).
tcf(c_77286,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31746,c_73138]) ).
tcf(c_77287,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30845,c_73138]) ).
tcf(c_77288,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30723,c_73138]) ).
tcf(c_77289,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30583,c_73138]) ).
tcf(c_77290,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_30434,c_73138]) ).
tcf(c_77291,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_27020,c_73138]) ).
tcf(c_77292,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_26888,c_73138]) ).
tcf(c_77318,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73138]) ).
tcf(c_77319,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73138]) ).
tcf(c_77322,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_767,c_73138]) ).
tcf(c_77323,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_764,c_73138]) ).
tcf(c_77324,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73138]) ).
tcf(c_77325,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_29,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73138]) ).
tcf(c_77326,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(identity),multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73138,c_15772]) ).
tcf(c_77327,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_29),identity) ) ),
inference(superposition,[status(thm)],[c_73138,c_15741]) ).
tcf(c_77328,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73138,c_115]) ).
tcf(c_77329,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73138,c_15772]) ).
tcf(c_77330,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_29,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73138,c_15772]) ).
tcf(c_77331,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73138,c_26217]) ).
tcf(c_77332,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73138,c_26153]) ).
tcf(c_77333,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73138,c_26096]) ).
tcf(c_77334,plain,
( ( identity = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73138,c_25674]) ).
tcf(c_77335,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73138,c_24267]) ).
tcf(c_77336,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73138,c_24189]) ).
tcf(c_77337,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73138,c_24132]) ).
tcf(c_77338,plain,
( ( identity = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73138,c_24075]) ).
tcf(c_77339,plain,
( ( identity = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73138,c_23853]) ).
tcf(c_77340,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c12,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_73138,c_6812]) ).
tcf(c_77374,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77328,c_113]) ).
tcf(c_77395,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_77292,c_73177]) ).
tcf(c_77399,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_77291,c_73177]) ).
tcf(c_77403,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_77290,c_73177]) ).
tcf(c_77407,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_77289,c_73177]) ).
tcf(c_77411,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_77288,c_73177]) ).
tcf(c_77415,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_77287,c_73177]) ).
tcf(c_77419,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_77286,c_73177]) ).
tcf(c_77423,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_77285,c_73177]) ).
tcf(c_77427,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_77284,c_73177]) ).
tcf(c_77431,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_29)),X0) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_77329,c_16791]) ).
tcf(c_77434,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(identity,multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77326,c_16822]) ).
tcf(c_77617,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_797,c_73139]) ).
tcf(c_77618,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_794,c_73139]) ).
tcf(c_77627,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73139,c_15772]) ).
tcf(c_77628,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_73139,c_15741]) ).
tcf(c_77629,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73139,c_115]) ).
tcf(c_77630,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73139,c_15772]) ).
tcf(c_77631,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73139,c_15772]) ).
tcf(c_77632,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73139,c_31769]) ).
tcf(c_77633,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73139,c_18422]) ).
tcf(c_77634,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73139,c_18407]) ).
tcf(c_77635,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73139,c_18382]) ).
tcf(c_77636,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = identity ) ),
inference(superposition,[status(thm)],[c_73139,c_18367]) ).
tcf(c_77637,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c12,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_73139,c_7204]) ).
tcf(c_77663,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77629,c_113]) ).
tcf(c_77666,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(light_normalisation,[status(thm)],[c_77630,c_16791]) ).
tcf(c_77669,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77627,c_16822]) ).
tcf(c_77734,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_797,c_73140]) ).
tcf(c_77735,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_794,c_73140]) ).
tcf(c_77744,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73140,c_15772]) ).
tcf(c_77745,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_21),identity) ) ),
inference(superposition,[status(thm)],[c_73140,c_15741]) ).
tcf(c_77746,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73140,c_115]) ).
tcf(c_77747,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73140,c_15772]) ).
tcf(c_77748,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73140,c_15772]) ).
tcf(c_77749,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73140,c_18508]) ).
tcf(c_77759,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77746,c_113]) ).
tcf(c_77762,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_77747,c_16791,c_47783]) ).
tcf(c_77765,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77744,c_16822]) ).
tcf(c_77774,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38350,c_73141]) ).
tcf(c_77775,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38348,c_73141]) ).
tcf(c_77776,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38295,c_73141]) ).
tcf(c_77777,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38294,c_73141]) ).
tcf(c_77778,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38065,c_73141]) ).
tcf(c_77779,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38063,c_73141]) ).
tcf(c_77780,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38006,c_73141]) ).
tcf(c_77781,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38004,c_73141]) ).
tcf(c_77782,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37930,c_73141]) ).
tcf(c_77783,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37929,c_73141]) ).
tcf(c_77784,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37778,c_73141]) ).
tcf(c_77785,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37776,c_73141]) ).
tcf(c_77786,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37403,c_73141]) ).
tcf(c_77787,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37402,c_73141]) ).
tcf(c_77788,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31585,c_73141]) ).
tcf(c_77789,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31584,c_73141]) ).
tcf(c_77790,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31300,c_73141]) ).
tcf(c_77791,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31299,c_73141]) ).
tcf(c_77808,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73141]) ).
tcf(c_77809,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73141]) ).
tcf(c_77812,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_767,c_73141]) ).
tcf(c_77813,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_764,c_73141]) ).
tcf(c_77814,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73141]) ).
tcf(c_77815,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73141]) ).
tcf(c_77816,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73141,c_15772]) ).
tcf(c_77817,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_73141,c_15741]) ).
tcf(c_77818,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73141,c_115]) ).
tcf(c_77819,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73141,c_15772]) ).
tcf(c_77820,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73141,c_15772]) ).
tcf(c_77821,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73141,c_26329]) ).
tcf(c_77827,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77818,c_113]) ).
tcf(c_77902,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_18),sk_c9) = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_77819,c_16791,c_47778]) ).
tcf(c_77905,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77816,c_16822]) ).
tcf(c_77999,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38350,c_73142]) ).
tcf(c_78000,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38348,c_73142]) ).
tcf(c_78001,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38295,c_73142]) ).
tcf(c_78002,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38294,c_73142]) ).
tcf(c_78003,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38065,c_73142]) ).
tcf(c_78004,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38063,c_73142]) ).
tcf(c_78005,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38006,c_73142]) ).
tcf(c_78006,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38004,c_73142]) ).
tcf(c_78007,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37930,c_73142]) ).
tcf(c_78008,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37929,c_73142]) ).
tcf(c_78009,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37778,c_73142]) ).
tcf(c_78010,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37776,c_73142]) ).
tcf(c_78011,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37403,c_73142]) ).
tcf(c_78012,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37402,c_73142]) ).
tcf(c_78013,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31585,c_73142]) ).
tcf(c_78014,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31584,c_73142]) ).
tcf(c_78015,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31300,c_73142]) ).
tcf(c_78016,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31299,c_73142]) ).
tcf(c_78033,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73142]) ).
tcf(c_78034,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73142]) ).
tcf(c_78039,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73142]) ).
tcf(c_78040,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73142]) ).
tcf(c_78041,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73142,c_15772]) ).
tcf(c_78042,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_73142,c_15741]) ).
tcf(c_78043,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73142,c_115]) ).
tcf(c_78044,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73142,c_15772]) ).
tcf(c_78045,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73142,c_15772]) ).
tcf(c_78046,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73142,c_26329]) ).
tcf(c_78052,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78043,c_113]) ).
tcf(c_78121,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(iPr_def_18),sk_c9) = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_78044,c_16791,c_47778]) ).
tcf(c_78124,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_23 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78041,c_16822]) ).
tcf(c_78200,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38350,c_73143]) ).
tcf(c_78201,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38348,c_73143]) ).
tcf(c_78202,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38295,c_73143]) ).
tcf(c_78203,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38294,c_73143]) ).
tcf(c_78204,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38065,c_73143]) ).
tcf(c_78205,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38063,c_73143]) ).
tcf(c_78206,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38006,c_73143]) ).
tcf(c_78207,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38004,c_73143]) ).
tcf(c_78208,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37930,c_73143]) ).
tcf(c_78209,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37929,c_73143]) ).
tcf(c_78210,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37778,c_73143]) ).
tcf(c_78211,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37776,c_73143]) ).
tcf(c_78212,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37403,c_73143]) ).
tcf(c_78213,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37402,c_73143]) ).
tcf(c_78214,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31585,c_73143]) ).
tcf(c_78215,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31584,c_73143]) ).
tcf(c_78216,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31300,c_73143]) ).
tcf(c_78217,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31299,c_73143]) ).
tcf(c_78234,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73143]) ).
tcf(c_78235,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73143]) ).
tcf(c_78240,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73143]) ).
tcf(c_78241,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73143]) ).
tcf(c_78242,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73143,c_15772]) ).
tcf(c_78243,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_73143,c_15741]) ).
tcf(c_78244,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73143,c_115]) ).
tcf(c_78245,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73143,c_15772]) ).
tcf(c_78246,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73143,c_15772]) ).
tcf(c_78247,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73143,c_26329]) ).
tcf(c_78253,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78244,c_113]) ).
tcf(c_78322,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_18),sk_c9) = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_78245,c_16791,c_47778]) ).
tcf(c_78325,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78242,c_16822]) ).
tcf(c_78408,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38350,c_73144]) ).
tcf(c_78409,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38348,c_73144]) ).
tcf(c_78410,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38295,c_73144]) ).
tcf(c_78411,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38294,c_73144]) ).
tcf(c_78412,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38065,c_73144]) ).
tcf(c_78413,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38063,c_73144]) ).
tcf(c_78414,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38006,c_73144]) ).
tcf(c_78415,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38004,c_73144]) ).
tcf(c_78416,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37930,c_73144]) ).
tcf(c_78417,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37929,c_73144]) ).
tcf(c_78418,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37778,c_73144]) ).
tcf(c_78419,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37776,c_73144]) ).
tcf(c_78420,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37403,c_73144]) ).
tcf(c_78421,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37402,c_73144]) ).
tcf(c_78422,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31585,c_73144]) ).
tcf(c_78423,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31584,c_73144]) ).
tcf(c_78424,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31300,c_73144]) ).
tcf(c_78425,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31299,c_73144]) ).
tcf(c_78442,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73144]) ).
tcf(c_78443,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73144]) ).
tcf(c_78446,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_767,c_73144]) ).
tcf(c_78447,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_764,c_73144]) ).
tcf(c_78448,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73144]) ).
tcf(c_78449,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73144]) ).
tcf(c_78450,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73144,c_15772]) ).
tcf(c_78451,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_73144,c_15741]) ).
tcf(c_78452,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73144,c_115]) ).
tcf(c_78453,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73144,c_15772]) ).
tcf(c_78454,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73144,c_15772]) ).
tcf(c_78455,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73144,c_26329]) ).
tcf(c_78461,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78452,c_113]) ).
tcf(c_78536,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_18),sk_c9) = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_78453,c_16791,c_47778]) ).
tcf(c_78539,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78450,c_16822]) ).
tcf(c_78736,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38350,c_73145]) ).
tcf(c_78737,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38348,c_73145]) ).
tcf(c_78738,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38295,c_73145]) ).
tcf(c_78739,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38294,c_73145]) ).
tcf(c_78740,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38065,c_73145]) ).
tcf(c_78741,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38063,c_73145]) ).
tcf(c_78742,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38006,c_73145]) ).
tcf(c_78743,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_38004,c_73145]) ).
tcf(c_78744,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37930,c_73145]) ).
tcf(c_78745,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37929,c_73145]) ).
tcf(c_78746,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37778,c_73145]) ).
tcf(c_78747,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37776,c_73145]) ).
tcf(c_78748,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37403,c_73145]) ).
tcf(c_78749,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_37402,c_73145]) ).
tcf(c_78750,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31585,c_73145]) ).
tcf(c_78751,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31584,c_73145]) ).
tcf(c_78752,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31300,c_73145]) ).
tcf(c_78753,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_18),sk_c9)) = identity ) ),
inference(superposition,[status(thm)],[c_31299,c_73145]) ).
tcf(c_78770,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_787,c_73145]) ).
tcf(c_78771,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_784,c_73145]) ).
tcf(c_78774,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_767,c_73145]) ).
tcf(c_78775,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_764,c_73145]) ).
tcf(c_78776,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_757,c_73145]) ).
tcf(c_78777,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_754,c_73145]) ).
tcf(c_78778,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73145,c_15772]) ).
tcf(c_78779,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_73145,c_15741]) ).
tcf(c_78780,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73145,c_115]) ).
tcf(c_78781,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),sk_c9) ) ),
inference(superposition,[status(thm)],[c_73145,c_15772]) ).
tcf(c_78782,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_18))),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_73145,c_15772]) ).
tcf(c_78783,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73145,c_26329]) ).
tcf(c_78789,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78780,c_113]) ).
tcf(c_78864,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_18),sk_c9) = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_78781,c_16791,c_47778]) ).
tcf(c_78867,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78778,c_16822]) ).
tcf(c_78895,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7612,c_15772]) ).
tcf(c_78896,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7612,c_15741]) ).
tcf(c_78897,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7612,c_115]) ).
tcf(c_78898,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7612,c_15772]) ).
tcf(c_78900,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7612,c_19287]) ).
tcf(c_78901,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7612,c_3889]) ).
tcf(c_78902,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_78900,c_11706]) ).
tcf(c_78907,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_78901,c_12297]) ).
tcf(c_78942,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_77082,c_15772]) ).
tcf(c_78943,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77082,c_15741]) ).
tcf(c_78944,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_77082,c_115]) ).
tcf(c_78945,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77082,c_15772]) ).
tcf(c_78951,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c12,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_77082,c_7204]) ).
tcf(c_78957,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_78945,c_16791]) ).
tcf(c_78960,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78942,c_16822]) ).
tcf(c_78974,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_77110,c_15772]) ).
tcf(c_78975,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_77110,c_15741]) ).
tcf(c_78976,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_77110,c_115]) ).
tcf(c_78977,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_77110,c_15772]) ).
tcf(c_78983,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c11,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_77110,c_7199]) ).
tcf(c_78989,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_78977,c_16791]) ).
tcf(c_78992,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_78974,c_16822]) ).
tcf(c_79019,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65403,c_77221]) ).
tcf(c_79020,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65236,c_77221]) ).
tcf(c_79051,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_77221,c_749]) ).
tcf(c_79052,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_77221,c_15772]) ).
tcf(c_79053,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_77221,c_15741]) ).
tcf(c_79055,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_77221,c_15772]) ).
tcf(c_79056,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_77221,c_3904]) ).
tcf(c_79069,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_79051,c_742]) ).
tcf(c_79104,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77188,c_26329]) ).
tcf(c_79105,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_77188,c_26327]) ).
tcf(c_79106,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77188,c_19439]) ).
tcf(c_79109,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77188,c_6264]) ).
tcf(c_79110,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77188,c_6115]) ).
tcf(c_79117,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_77188,c_3884]) ).
tcf(c_79118,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77188,c_3182]) ).
tcf(c_79119,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77188,c_3135]) ).
tcf(c_79120,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77188,c_2918]) ).
tcf(c_79121,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77188,c_2821]) ).
tcf(c_79122,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_77188,c_2720]) ).
tcf(c_79125,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77188,c_3904]) ).
tcf(c_79126,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_77188,c_1358]) ).
tcf(c_79128,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77188,c_742]) ).
tcf(c_79129,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c3 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_79128,c_45468]) ).
tcf(c_79271,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79129,c_19609]) ).
tcf(c_79272,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79129,c_18777]) ).
tcf(c_79277,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79129,c_5928]) ).
tcf(c_79278,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79129,c_5861]) ).
tcf(c_79288,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_79129,c_3885]) ).
tcf(c_79289,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79129,c_2538]) ).
tcf(c_79290,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79129,c_2363]) ).
tcf(c_79291,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79129,c_2319]) ).
tcf(c_79295,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_79129,c_741]) ).
tcf(c_79347,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_35262,c_747]) ).
tcf(c_81232,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_35504,c_45468]) ).
tcf(c_81251,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_81232,c_69816]) ).
tcf(c_81262,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81232,c_19609]) ).
tcf(c_81263,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81232,c_18777]) ).
tcf(c_81269,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81232,c_5861]) ).
tcf(c_81279,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_81232,c_3885]) ).
tcf(c_81280,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81232,c_2538]) ).
tcf(c_81281,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81232,c_2363]) ).
tcf(c_81282,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81232,c_2319]) ).
tcf(c_81285,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81232,c_731]) ).
tcf(c_81286,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(sk_c2) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_81232,c_741]) ).
tcf(c_81316,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73158]) ).
tcf(c_81317,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73158]) ).
tcf(c_81332,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73158]) ).
tcf(c_81333,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73158]) ).
tcf(c_81336,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73158]) ).
tcf(c_81337,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73158]) ).
tcf(c_81338,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73158]) ).
tcf(c_81339,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73158]) ).
tcf(c_81342,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73158]) ).
tcf(c_81343,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73158]) ).
tcf(c_81356,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73158,c_15772]) ).
tcf(c_81357,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73158,c_15741]) ).
tcf(c_81358,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73158,c_115]) ).
tcf(c_81359,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73158,c_15772]) ).
tcf(c_81360,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_73158,c_15772]) ).
tcf(c_81361,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73158,c_7478]) ).
tcf(c_81362,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73158,c_7297]) ).
tcf(c_81363,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73158,c_3884]) ).
tcf(c_81364,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73158,c_3882]) ).
tcf(c_81365,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73158,c_3880]) ).
tcf(c_81367,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_81357,c_73171]) ).
tcf(c_81408,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81356,c_16822]) ).
tcf(c_81422,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73159]) ).
tcf(c_81423,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73159]) ).
tcf(c_81438,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73159]) ).
tcf(c_81439,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73159]) ).
tcf(c_81442,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73159]) ).
tcf(c_81443,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73159]) ).
tcf(c_81444,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73159]) ).
tcf(c_81445,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73159]) ).
tcf(c_81448,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73159]) ).
tcf(c_81449,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73159]) ).
tcf(c_81462,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73159,c_15772]) ).
tcf(c_81463,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73159,c_15741]) ).
tcf(c_81464,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73159,c_115]) ).
tcf(c_81465,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73159,c_15772]) ).
tcf(c_81466,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_73159,c_15772]) ).
tcf(c_81467,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73159,c_7478]) ).
tcf(c_81468,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73159,c_7297]) ).
tcf(c_81469,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73159,c_3884]) ).
tcf(c_81470,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73159,c_3882]) ).
tcf(c_81471,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73159,c_3880]) ).
tcf(c_81473,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_81463,c_73171]) ).
tcf(c_81514,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81462,c_16822]) ).
tcf(c_81568,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73160,c_15772]) ).
tcf(c_81569,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73160,c_15741]) ).
tcf(c_81570,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73160,c_115]) ).
tcf(c_81571,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73160,c_15772]) ).
tcf(c_81572,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_73160,c_15772]) ).
tcf(c_81573,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73160,c_7478]) ).
tcf(c_81574,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73160,c_7297]) ).
tcf(c_81575,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73160,c_3884]) ).
tcf(c_81576,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73160,c_3882]) ).
tcf(c_81577,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73160,c_3880]) ).
tcf(c_81579,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_81569,c_73171]) ).
tcf(c_81590,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81568,c_16822]) ).
tcf(c_81644,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73161,c_15772]) ).
tcf(c_81645,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73161,c_15741]) ).
tcf(c_81646,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73161,c_115]) ).
tcf(c_81647,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73161,c_15772]) ).
tcf(c_81648,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_73161,c_15772]) ).
tcf(c_81649,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73161,c_7478]) ).
tcf(c_81650,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73161,c_7297]) ).
tcf(c_81651,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73161,c_3884]) ).
tcf(c_81652,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73161,c_3882]) ).
tcf(c_81653,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73161,c_3880]) ).
tcf(c_81655,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_81645,c_73171]) ).
tcf(c_81666,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81644,c_16822]) ).
tcf(c_81680,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73162]) ).
tcf(c_81681,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73162]) ).
tcf(c_81696,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73162]) ).
tcf(c_81697,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73162]) ).
tcf(c_81700,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73162]) ).
tcf(c_81701,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73162]) ).
tcf(c_81702,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73162]) ).
tcf(c_81703,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73162]) ).
tcf(c_81706,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73162]) ).
tcf(c_81707,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73162]) ).
tcf(c_81720,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73162,c_15772]) ).
tcf(c_81721,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73162,c_15741]) ).
tcf(c_81722,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73162,c_115]) ).
tcf(c_81723,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73162,c_15772]) ).
tcf(c_81724,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_73162,c_15772]) ).
tcf(c_81725,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73162,c_7478]) ).
tcf(c_81726,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73162,c_7297]) ).
tcf(c_81727,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73162,c_3884]) ).
tcf(c_81728,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73162,c_3882]) ).
tcf(c_81729,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73162,c_3880]) ).
tcf(c_81731,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_81721,c_73171]) ).
tcf(c_81772,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81720,c_16822]) ).
tcf(c_81786,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73163]) ).
tcf(c_81787,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73163]) ).
tcf(c_81802,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73163]) ).
tcf(c_81803,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73163]) ).
tcf(c_81806,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73163]) ).
tcf(c_81807,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73163]) ).
tcf(c_81808,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73163]) ).
tcf(c_81809,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73163]) ).
tcf(c_81812,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73163]) ).
tcf(c_81813,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73163]) ).
tcf(c_81826,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73163,c_15772]) ).
tcf(c_81827,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73163,c_15741]) ).
tcf(c_81828,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73163,c_115]) ).
tcf(c_81829,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73163,c_15772]) ).
tcf(c_81830,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_73163,c_15772]) ).
tcf(c_81831,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73163,c_7478]) ).
tcf(c_81832,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73163,c_7297]) ).
tcf(c_81833,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73163,c_3884]) ).
tcf(c_81834,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73163,c_3882]) ).
tcf(c_81835,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73163,c_3880]) ).
tcf(c_81837,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_81827,c_73171]) ).
tcf(c_81878,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81826,c_16822]) ).
tcf(c_81892,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73164]) ).
tcf(c_81893,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73164]) ).
tcf(c_81908,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73164]) ).
tcf(c_81909,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73164]) ).
tcf(c_81912,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73164]) ).
tcf(c_81913,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73164]) ).
tcf(c_81914,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73164]) ).
tcf(c_81915,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73164]) ).
tcf(c_81918,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73164]) ).
tcf(c_81919,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73164]) ).
tcf(c_81932,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73164,c_15772]) ).
tcf(c_81933,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73164,c_15741]) ).
tcf(c_81934,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73164,c_115]) ).
tcf(c_81935,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73164,c_15772]) ).
tcf(c_81936,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_73164,c_15772]) ).
tcf(c_81937,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73164,c_7478]) ).
tcf(c_81938,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73164,c_7297]) ).
tcf(c_81939,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73164,c_3884]) ).
tcf(c_81940,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73164,c_3882]) ).
tcf(c_81941,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73164,c_3880]) ).
tcf(c_81943,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_81933,c_73171]) ).
tcf(c_81984,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_81932,c_16822]) ).
tcf(c_81998,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73165]) ).
tcf(c_81999,plain,
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73165]) ).
tcf(c_82014,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73165]) ).
tcf(c_82015,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73165]) ).
tcf(c_82018,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73165]) ).
tcf(c_82019,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73165]) ).
tcf(c_82020,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73165]) ).
tcf(c_82021,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73165]) ).
tcf(c_82024,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73165]) ).
tcf(c_82025,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73165]) ).
tcf(c_82038,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73165,c_15772]) ).
tcf(c_82039,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73165,c_15741]) ).
tcf(c_82040,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73165,c_115]) ).
tcf(c_82041,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73165,c_15772]) ).
tcf(c_82042,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_73165,c_15772]) ).
tcf(c_82043,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73165,c_7478]) ).
tcf(c_82044,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73165,c_7297]) ).
tcf(c_82045,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73165,c_3884]) ).
tcf(c_82046,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73165,c_3882]) ).
tcf(c_82047,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73165,c_3880]) ).
tcf(c_82049,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_82039,c_73171]) ).
tcf(c_82090,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_82038,c_16822]) ).
tcf(c_82106,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7613,c_15772]) ).
tcf(c_82107,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7613,c_15741]) ).
tcf(c_82108,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7613,c_115]) ).
tcf(c_82109,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7613,c_15772]) ).
tcf(c_82111,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7613,c_19287]) ).
tcf(c_82112,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7613,c_3889]) ).
tcf(c_82113,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_82111,c_11706]) ).
tcf(c_82118,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_82112,c_12297]) ).
tcf(c_82139,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_65403,c_81285]) ).
tcf(c_82171,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_81285,c_749]) ).
tcf(c_82172,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_81285,c_15772]) ).
tcf(c_82173,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_81285,c_15741]) ).
tcf(c_82175,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_81285,c_15772]) ).
tcf(c_82176,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_81285,c_3904]) ).
tcf(c_82186,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_82171,c_742]) ).
tcf(c_82193,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c4,X0),X1) = multiply(sk_c4,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_18223,c_18258]) ).
tcf(c_82194,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c5,X0),X1) = multiply(sk_c5,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_18505,c_18552]) ).
tcf(c_82216,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_81251,c_26329]) ).
tcf(c_82217,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_81251,c_26327]) ).
tcf(c_82218,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81251,c_19439]) ).
tcf(c_82222,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81251,c_6115]) ).
tcf(c_82229,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_81251,c_3884]) ).
tcf(c_82230,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81251,c_3182]) ).
tcf(c_82231,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81251,c_3135]) ).
tcf(c_82232,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81251,c_2918]) ).
tcf(c_82233,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81251,c_2821]) ).
tcf(c_82234,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_81251,c_2720]) ).
tcf(c_82237,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_81251,c_3904]) ).
tcf(c_82238,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_81251,c_1358]) ).
tcf(c_82240,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_81251,c_742]) ).
tcf(c_82241,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_82240,c_45468]) ).
tcf(c_82504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82241,c_19609]) ).
tcf(c_82505,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82241,c_18777]) ).
tcf(c_82511,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82241,c_5861]) ).
tcf(c_82521,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_82241,c_3885]) ).
tcf(c_82522,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82241,c_2538]) ).
tcf(c_82523,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82241,c_2363]) ).
tcf(c_82524,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82241,c_2319]) ).
tcf(c_82528,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82241,c_741]) ).
tcf(c_82556,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_38402,c_747]) ).
tcf(c_82564,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_38719,c_45468]) ).
tcf(c_82581,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82564,c_75078]) ).
tcf(c_82582,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82564,c_74959]) ).
tcf(c_82583,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82564,c_73812]) ).
tcf(c_82584,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82564,c_73662]) ).
tcf(c_82596,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82564,c_19609]) ).
tcf(c_82597,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82564,c_18777]) ).
tcf(c_82601,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82564,c_6039]) ).
tcf(c_82613,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_82564,c_3885]) ).
tcf(c_82614,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82564,c_2538]) ).
tcf(c_82615,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82564,c_2363]) ).
tcf(c_82616,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82564,c_2319]) ).
tcf(c_82619,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82564,c_731]) ).
tcf(c_82620,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(sk_c2) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82564,c_741]) ).
tcf(c_82659,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73166]) ).
tcf(c_82660,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73166]) ).
tcf(c_82675,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73166]) ).
tcf(c_82676,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73166]) ).
tcf(c_82679,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73166]) ).
tcf(c_82680,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73166]) ).
tcf(c_82681,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73166]) ).
tcf(c_82682,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73166]) ).
tcf(c_82685,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73166]) ).
tcf(c_82686,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73166]) ).
tcf(c_82699,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73166,c_15772]) ).
tcf(c_82700,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73166,c_15741]) ).
tcf(c_82701,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73166,c_115]) ).
tcf(c_82702,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73166,c_15772]) ).
tcf(c_82703,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_73166,c_15772]) ).
tcf(c_82704,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73166,c_7478]) ).
tcf(c_82705,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73166,c_7297]) ).
tcf(c_82706,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73166,c_3884]) ).
tcf(c_82707,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73166,c_3882]) ).
tcf(c_82708,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73166,c_3880]) ).
tcf(c_82710,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_82700,c_73171]) ).
tcf(c_82755,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_82699,c_16822]) ).
tcf(c_82763,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73167]) ).
tcf(c_82764,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73167]) ).
tcf(c_82779,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73167]) ).
tcf(c_82780,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73167]) ).
tcf(c_82783,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73167]) ).
tcf(c_82784,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73167]) ).
tcf(c_82785,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73167]) ).
tcf(c_82786,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73167]) ).
tcf(c_82789,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73167]) ).
tcf(c_82790,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73167]) ).
tcf(c_82803,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73167,c_15772]) ).
tcf(c_82804,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73167,c_15741]) ).
tcf(c_82805,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73167,c_115]) ).
tcf(c_82806,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73167,c_15772]) ).
tcf(c_82807,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_73167,c_15772]) ).
tcf(c_82808,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73167,c_7478]) ).
tcf(c_82809,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73167,c_7297]) ).
tcf(c_82810,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73167,c_3884]) ).
tcf(c_82811,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73167,c_3882]) ).
tcf(c_82812,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73167,c_3880]) ).
tcf(c_82814,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_82804,c_73171]) ).
tcf(c_82859,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_82803,c_16822]) ).
tcf(c_82892,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73168]) ).
tcf(c_82893,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73168]) ).
tcf(c_82908,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73168]) ).
tcf(c_82909,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73168]) ).
tcf(c_82912,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73168]) ).
tcf(c_82913,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73168]) ).
tcf(c_82914,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73168]) ).
tcf(c_82915,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73168]) ).
tcf(c_82918,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73168]) ).
tcf(c_82919,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_19)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73168]) ).
tcf(c_82932,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73168,c_15772]) ).
tcf(c_82933,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73168,c_15741]) ).
tcf(c_82934,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73168,c_115]) ).
tcf(c_82935,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_73168,c_15772]) ).
tcf(c_82936,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_73168,c_15772]) ).
tcf(c_82937,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73168,c_7478]) ).
tcf(c_82938,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73168,c_7297]) ).
tcf(c_82939,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73168,c_3884]) ).
tcf(c_82940,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73168,c_3882]) ).
tcf(c_82941,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73168,c_3880]) ).
tcf(c_82943,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_82933,c_73171]) ).
tcf(c_82984,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_82932,c_16822]) ).
tcf(c_83045,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26344,c_73169]) ).
tcf(c_83046,plain,
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_26342,c_73169]) ).
tcf(c_83061,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_3177,c_73169]) ).
tcf(c_83062,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2915,c_73169]) ).
tcf(c_83065,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2184,c_73169]) ).
tcf(c_83066,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2178,c_73169]) ).
tcf(c_83067,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2017,c_73169]) ).
tcf(c_83068,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_2011,c_73169]) ).
tcf(c_83071,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1482,c_73169]) ).
tcf(c_83072,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(inverse(iPr_def_18),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_1403,c_73169]) ).
tcf(c_83085,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_73169,c_15772]) ).
tcf(c_83086,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c11),identity) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73169,c_15741]) ).
tcf(c_83087,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_73169,c_115]) ).
tcf(c_83088,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_73169,c_15772]) ).
tcf(c_83089,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c11,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_73169,c_15772]) ).
tcf(c_83090,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73169,c_7478]) ).
tcf(c_83091,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73169,c_7297]) ).
tcf(c_83092,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_27,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_73169,c_3884]) ).
tcf(c_83093,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_73169,c_3882]) ).
tcf(c_83094,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_73169,c_3880]) ).
tcf(c_83096,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),sk_c9) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_83086,c_73171]) ).
tcf(c_83137,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83085,c_16822]) ).
tcf(c_83340,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_77617,c_15772]) ).
tcf(c_83341,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_77617,c_15741]) ).
tcf(c_83342,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_77617,c_115]) ).
tcf(c_83343,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_77617,c_15772]) ).
tcf(c_83344,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77617,c_15772]) ).
tcf(c_83345,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_77617,c_31769]) ).
tcf(c_83346,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_77617,c_18422]) ).
tcf(c_83347,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_77617,c_18407]) ).
tcf(c_83348,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_77617,c_18382]) ).
tcf(c_83349,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_77617,c_18367]) ).
tcf(c_83350,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c12,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_77617,c_7204]) ).
tcf(c_83372,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83342,c_113]) ).
tcf(c_83375,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(light_normalisation,[status(thm)],[c_83343,c_16791]) ).
tcf(c_83378,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83340,c_16822]) ).
tcf(c_83393,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_77618,c_15772]) ).
tcf(c_83394,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_77618,c_15741]) ).
tcf(c_83395,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_77618,c_115]) ).
tcf(c_83396,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_77618,c_15772]) ).
tcf(c_83397,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_77618,c_15772]) ).
tcf(c_83398,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_77618,c_31769]) ).
tcf(c_83399,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_77618,c_18422]) ).
tcf(c_83400,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_77618,c_18407]) ).
tcf(c_83401,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_77618,c_18382]) ).
tcf(c_83402,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_77618,c_18367]) ).
tcf(c_83403,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c12,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_77618,c_7204]) ).
tcf(c_83425,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83395,c_113]) ).
tcf(c_83428,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_83396,c_16791]) ).
tcf(c_83431,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83393,c_16822]) ).
tcf(c_83441,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_77734,c_15772]) ).
tcf(c_83442,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(inverse(iPr_def_21),identity) ) ),
inference(superposition,[status(thm)],[c_77734,c_15741]) ).
tcf(c_83443,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_77734,c_115]) ).
tcf(c_83444,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_77734,c_15772]) ).
tcf(c_83445,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,inverse(iPr_def_18))),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_77734,c_15772]) ).
tcf(c_83446,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_77734,c_18508]) ).
tcf(c_83452,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83443,c_113]) ).
tcf(c_83455,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_19) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_83444,c_16791,c_47783]) ).
tcf(c_83458,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_19),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83441,c_16822]) ).
tcf(c_83467,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_77735,c_15772]) ).
tcf(c_83468,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(inverse(iPr_def_21),identity) ) ),
inference(superposition,[status(thm)],[c_77735,c_15741]) ).
tcf(c_83469,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_77735,c_115]) ).
tcf(c_83470,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,identity)) = multiply(inverse(iPr_def_18),iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_77735,c_15772]) ).
tcf(c_83471,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,inverse(iPr_def_18))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_77735,c_15772]) ).
tcf(c_83472,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = multiply(sk_c5,identity) ) ),
inference(superposition,[status(thm)],[c_77735,c_18508]) ).
tcf(c_83478,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83469,c_113]) ).
tcf(c_83481,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_16) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_83470,c_16791,c_47783]) ).
tcf(c_83484,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_16),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_83467,c_16822]) ).
tcf(c_83509,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7614,c_15772]) ).
tcf(c_83510,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7614,c_15741]) ).
tcf(c_83511,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7614,c_115]) ).
tcf(c_83512,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7614,c_15772]) ).
tcf(c_83514,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7614,c_19287]) ).
tcf(c_83515,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7614,c_3889]) ).
tcf(c_83516,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_83514,c_11706]) ).
tcf(c_83521,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_83515,c_12297]) ).
tcf(c_83616,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68648,c_82619]) ).
tcf(c_83617,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68528,c_82619]) ).
tcf(c_83618,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66289,c_82619]) ).
tcf(c_83621,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_62667,c_82619]) ).
tcf(c_83651,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_82619,c_749]) ).
tcf(c_83652,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_82619,c_15772]) ).
tcf(c_83653,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_82619,c_15741]) ).
tcf(c_83655,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_82619,c_15772]) ).
tcf(c_83656,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_82619,c_3904]) ).
tcf(c_83675,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_83651,c_742]) ).
tcf(c_83682,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c6,X0),X1) = multiply(sk_c6,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_19284,c_20028]) ).
tcf(c_83683,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c8,X0),X1) = multiply(sk_c8,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_21647,c_21718]) ).
tcf(c_83684,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c7,X0),X1) = multiply(sk_c7,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_22993,c_23140]) ).
tcf(c_83707,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_82584,c_26329]) ).
tcf(c_83708,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_82584,c_26327]) ).
tcf(c_83709,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_82584,c_19439]) ).
tcf(c_83720,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_82584,c_3884]) ).
tcf(c_83721,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_82584,c_3182]) ).
tcf(c_83722,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_82584,c_3135]) ).
tcf(c_83723,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_82584,c_2918]) ).
tcf(c_83724,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_82584,c_2821]) ).
tcf(c_83725,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_82584,c_2720]) ).
tcf(c_83728,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_82584,c_3904]) ).
tcf(c_83729,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_82584,c_1358]) ).
tcf(c_83731,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_82584,c_742]) ).
tcf(c_83732,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c3 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_83731,c_45468]) ).
tcf(c_83987,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83732,c_19609]) ).
tcf(c_83988,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83732,c_18777]) ).
tcf(c_83992,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83732,c_6039]) ).
tcf(c_84004,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_83732,c_3885]) ).
tcf(c_84005,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83732,c_2538]) ).
tcf(c_84006,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83732,c_2363]) ).
tcf(c_84007,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_83732,c_2319]) ).
tcf(c_84011,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83732,c_741]) ).
tcf(c_84039,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_39099,c_747]) ).
tcf(c_84047,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_39277,c_45468]) ).
tcf(c_84066,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84047,c_75078]) ).
tcf(c_84067,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84047,c_74959]) ).
tcf(c_84068,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84047,c_73812]) ).
tcf(c_84081,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84047,c_19609]) ).
tcf(c_84082,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84047,c_18777]) ).
tcf(c_84086,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84047,c_6039]) ).
tcf(c_84098,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_84047,c_3885]) ).
tcf(c_84099,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84047,c_2538]) ).
tcf(c_84100,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84047,c_2363]) ).
tcf(c_84101,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84047,c_2319]) ).
tcf(c_84104,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(sk_c2,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84047,c_731]) ).
tcf(c_84105,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(sk_c2) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84047,c_741]) ).
tcf(c_84150,plain,
( ( sk_c10 != iPr_def_25 )
| ( iPr_def_15 != iPr_def_22 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_16906,c_3254,c_16923]) ).
tcf(c_84151,plain,
( ~ iPr_def_12
| ( iPr_def_15 != iPr_def_22 )
| ( sk_c10 != iPr_def_25 ) ),
inference(renaming,[status(thm)],[c_84150]) ).
tcf(c_84164,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7617,c_15772]) ).
tcf(c_84165,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7617,c_15741]) ).
tcf(c_84166,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7617,c_115]) ).
tcf(c_84167,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7617,c_15772]) ).
tcf(c_84169,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7617,c_19287]) ).
tcf(c_84170,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7617,c_3889]) ).
tcf(c_84171,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_84169,c_11706]) ).
tcf(c_84176,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_84170,c_12297]) ).
tcf(c_84196,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68648,c_84104]) ).
tcf(c_84197,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68528,c_84104]) ).
tcf(c_84198,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66289,c_84104]) ).
tcf(c_84231,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_84104,c_749]) ).
tcf(c_84232,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_84104,c_15772]) ).
tcf(c_84233,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c2),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_84104,c_15741]) ).
tcf(c_84235,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_84104,c_15772]) ).
tcf(c_84236,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_84104,c_3904]) ).
tcf(c_84252,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_84231,c_742]) ).
tcf(c_84259,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c1,X0),X1) = multiply(sk_c1,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_23692,c_23739]) ).
tcf(c_84260,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c2,X0),X1) = multiply(sk_c2,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_26326,c_27193]) ).
tcf(c_84261,plain,
! [X0: $i,X1: $i] : multiply(multiply(sk_c3,X0),X1) = multiply(sk_c3,multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_45274,c_45468]) ).
tcf(c_84285,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_84068,c_26329]) ).
tcf(c_84286,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_84068,c_26327]) ).
tcf(c_84287,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84068,c_19439]) ).
tcf(c_84298,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_84068,c_3884]) ).
tcf(c_84299,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84068,c_3182]) ).
tcf(c_84300,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84068,c_3135]) ).
tcf(c_84301,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84068,c_2918]) ).
tcf(c_84302,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84068,c_2821]) ).
tcf(c_84303,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84068,c_2720]) ).
tcf(c_84304,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84068,c_2570]) ).
tcf(c_84305,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84068,c_2389]) ).
tcf(c_84306,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_84068,c_3904]) ).
tcf(c_84307,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_84068,c_1358]) ).
tcf(c_84309,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_84068,c_742]) ).
tcf(c_84310,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c3 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_84309,c_45468]) ).
tcf(c_84383,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84310,c_19609]) ).
tcf(c_84384,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84310,c_18777]) ).
tcf(c_84388,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84310,c_6039]) ).
tcf(c_84400,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_84310,c_3885]) ).
tcf(c_84401,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84310,c_2538]) ).
tcf(c_84402,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84310,c_2363]) ).
tcf(c_84403,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84310,c_2319]) ).
tcf(c_84407,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84310,c_741]) ).
tcf(c_84572,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_39613,c_747]) ).
tcf(c_84580,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_39938,c_45468]) ).
tcf(c_84602,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84580,c_74959]) ).
tcf(c_84616,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84580,c_19609]) ).
tcf(c_84617,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84580,c_18777]) ).
tcf(c_84621,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84580,c_6039]) ).
tcf(c_84633,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_84580,c_3885]) ).
tcf(c_84634,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84580,c_2538]) ).
tcf(c_84635,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84580,c_2363]) ).
tcf(c_84636,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84580,c_2319]) ).
tcf(c_84639,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84580,c_731]) ).
tcf(c_84640,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(sk_c2) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84580,c_741]) ).
tcf(c_84871,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_770,c_16910]) ).
tcf(c_84904,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_20856,c_84871]) ).
tcf(c_84905,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_20852,c_84871]) ).
tcf(c_84907,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_18620,c_84871]) ).
tcf(c_84908,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_5784,c_84871]) ).
tcf(c_84910,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_5604,c_84871]) ).
tcf(c_84911,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_5602,c_84871]) ).
tcf(c_84914,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_4861,c_84871]) ).
tcf(c_84916,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_4769,c_84871]) ).
tcf(c_84918,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_4582,c_84871]) ).
tcf(c_85226,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_19,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7618,c_15772]) ).
tcf(c_85227,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7618,c_15741]) ).
tcf(c_85228,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_7618,c_115]) ).
tcf(c_85229,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7618,c_15772]) ).
tcf(c_85231,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7618,c_19287]) ).
tcf(c_85232,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7618,c_3889]) ).
tcf(c_85233,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_85231,c_11706]) ).
tcf(c_85238,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_85232,c_12297]) ).
tcf(c_85260,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68528,c_84639]) ).
tcf(c_85294,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_84639,c_749]) ).
tcf(c_85295,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_84639,c_15772]) ).
tcf(c_85296,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_84639,c_15741]) ).
tcf(c_85298,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_84639,c_15772]) ).
tcf(c_85299,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_84639,c_3904]) ).
tcf(c_85309,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_85294,c_742]) ).
tcf(c_85320,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_19,sk_c11) ) ),
inference(superposition,[status(thm)],[c_16791,c_7631]) ).
tcf(c_85321,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73054,c_7631]) ).
tcf(c_85322,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73168,c_7631]) ).
tcf(c_85324,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73164,c_7631]) ).
tcf(c_85326,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73160,c_7631]) ).
tcf(c_85327,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73158,c_7631]) ).
tcf(c_85328,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73169,c_7631]) ).
tcf(c_85330,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73165,c_7631]) ).
tcf(c_85332,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73161,c_7631]) ).
tcf(c_85333,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73159,c_7631]) ).
tcf(c_85334,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26344,c_7631]) ).
tcf(c_85335,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26342,c_7631]) ).
tcf(c_85374,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(iPr_def_19,multiply(multiply(sk_c11,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_7631,c_15772]) ).
tcf(c_85375,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7631,c_15741]) ).
tcf(c_85376,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7631,c_115]) ).
tcf(c_85377,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c11,X1) ) ),
inference(superposition,[status(thm)],[c_7631,c_15772]) ).
tcf(c_85378,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,sk_c11)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7631,c_15772]) ).
tcf(c_85380,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7631,c_19287]) ).
tcf(c_85384,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(sk_c11,X0) ) ),
inference(light_normalisation,[status(thm)],[c_85380,c_11812]) ).
tcf(c_85394,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,identity) = multiply(iPr_def_19,identity) ) ),
inference(light_normalisation,[status(thm)],[c_85321,c_73178]) ).
tcf(c_85438,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c11) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_7926]) ).
tcf(c_85439,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73054,c_7926]) ).
tcf(c_85440,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73168,c_7926]) ).
tcf(c_85442,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73164,c_7926]) ).
tcf(c_85444,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73160,c_7926]) ).
tcf(c_85445,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73158,c_7926]) ).
tcf(c_85446,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73169,c_7926]) ).
tcf(c_85448,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73165,c_7926]) ).
tcf(c_85450,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73161,c_7926]) ).
tcf(c_85451,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73159,c_7926]) ).
tcf(c_85452,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26344,c_7926]) ).
tcf(c_85453,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26342,c_7926]) ).
tcf(c_85468,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_3177,c_7926]) ).
tcf(c_85469,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2915,c_7926]) ).
tcf(c_85472,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2184,c_7926]) ).
tcf(c_85473,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2178,c_7926]) ).
tcf(c_85474,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2017,c_7926]) ).
tcf(c_85475,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2011,c_7926]) ).
tcf(c_85478,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1482,c_7926]) ).
tcf(c_85479,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1403,c_7926]) ).
tcf(c_85492,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(iPr_def_16,multiply(multiply(sk_c11,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_7926,c_15772]) ).
tcf(c_85493,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7926,c_15741]) ).
tcf(c_85494,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_7926,c_115]) ).
tcf(c_85495,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c11,X1) ) ),
inference(superposition,[status(thm)],[c_7926,c_15772]) ).
tcf(c_85496,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c11)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7926,c_15772]) ).
tcf(c_85498,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7926,c_23181]) ).
tcf(c_85500,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7926,c_23177]) ).
tcf(c_85502,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7926,c_23173]) ).
tcf(c_85503,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7926,c_23171]) ).
tcf(c_85504,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_7926,c_22996]) ).
tcf(c_85519,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,identity) = multiply(iPr_def_16,identity) ) ),
inference(light_normalisation,[status(thm)],[c_85439,c_73178]) ).
tcf(c_85601,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_7999,c_19287]) ).
tcf(c_85614,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_85601,c_749]) ).
tcf(c_85615,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_85601,c_15772]) ).
tcf(c_85616,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_85601,c_15741]) ).
tcf(c_85617,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_85601,c_115]) ).
tcf(c_85618,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_85601,c_15772]) ).
tcf(c_85619,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_85601,c_15772]) ).
tcf(c_85620,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_85601,c_747]) ).
tcf(c_85622,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_85601,c_47380]) ).
tcf(c_85624,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_20,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_85601,c_47380]) ).
tcf(c_85683,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_84602,c_26329]) ).
tcf(c_85684,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_84602,c_26327]) ).
tcf(c_85685,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84602,c_19439]) ).
tcf(c_85696,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_84602,c_3884]) ).
tcf(c_85697,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84602,c_3182]) ).
tcf(c_85698,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84602,c_3135]) ).
tcf(c_85699,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84602,c_2918]) ).
tcf(c_85700,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84602,c_2821]) ).
tcf(c_85701,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84602,c_2720]) ).
tcf(c_85702,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84602,c_2570]) ).
tcf(c_85703,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_84602,c_2389]) ).
tcf(c_85704,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_84602,c_3904]) ).
tcf(c_85705,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_84602,c_1358]) ).
tcf(c_85707,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_84602,c_742]) ).
tcf(c_85708,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c3 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_85707,c_45468]) ).
tcf(c_85783,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85708,c_19609]) ).
tcf(c_85784,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85708,c_18777]) ).
tcf(c_85788,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85708,c_6039]) ).
tcf(c_85800,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_85708,c_3885]) ).
tcf(c_85801,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85708,c_2538]) ).
tcf(c_85802,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85708,c_2363]) ).
tcf(c_85803,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_85708,c_2319]) ).
tcf(c_85807,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_85708,c_741]) ).
tcf(c_86040,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_41040,c_747]) ).
tcf(c_86048,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_41388,c_45468]) ).
tcf(c_86071,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86048,c_75078]) ).
tcf(c_86086,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86048,c_19609]) ).
tcf(c_86087,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86048,c_18777]) ).
tcf(c_86091,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86048,c_6039]) ).
tcf(c_86103,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c2,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_86048,c_3885]) ).
tcf(c_86104,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86048,c_2538]) ).
tcf(c_86105,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86048,c_2363]) ).
tcf(c_86106,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86048,c_2319]) ).
tcf(c_86109,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c2,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_86048,c_731]) ).
tcf(c_86110,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(sk_c2) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86048,c_741]) ).
tcf(c_86265,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_770,c_16917]) ).
tcf(c_86313,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68648,c_86109]) ).
tcf(c_86348,plain,
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_86109,c_749]) ).
tcf(c_86349,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_86109,c_15772]) ).
tcf(c_86350,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c2),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_86109,c_15741]) ).
tcf(c_86352,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_86109,c_15772]) ).
tcf(c_86353,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_86109,c_3904]) ).
tcf(c_86363,plain,
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_86348,c_742]) ).
tcf(c_86380,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_1356,c_8009]) ).
tcf(c_86381,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2615,c_8009]) ).
tcf(c_86382,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2230,c_8009]) ).
tcf(c_86383,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2228,c_8009]) ).
tcf(c_86384,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2226,c_8009]) ).
tcf(c_86386,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2222,c_8009]) ).
tcf(c_86387,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2689,c_8009]) ).
tcf(c_86388,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2295,c_8009]) ).
tcf(c_86389,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2229,c_8009]) ).
tcf(c_86390,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2227,c_8009]) ).
tcf(c_86391,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2225,c_8009]) ).
tcf(c_86393,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_3906,c_8009]) ).
tcf(c_86394,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6824,c_8009]) ).
tcf(c_86395,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6822,c_8009]) ).
tcf(c_86396,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_8009]) ).
tcf(c_86398,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6816,c_8009]) ).
tcf(c_86399,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6814,c_8009]) ).
tcf(c_86400,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6825,c_8009]) ).
tcf(c_86401,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6823,c_8009]) ).
tcf(c_86402,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6821,c_8009]) ).
tcf(c_86404,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6817,c_8009]) ).
tcf(c_86405,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6815,c_8009]) ).
tcf(c_86406,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7464,c_8009]) ).
tcf(c_86407,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7459,c_8009]) ).
tcf(c_86408,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7458,c_8009]) ).
tcf(c_86409,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7454,c_8009]) ).
tcf(c_86411,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7465,c_8009]) ).
tcf(c_86412,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7461,c_8009]) ).
tcf(c_86413,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7460,c_8009]) ).
tcf(c_86414,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7455,c_8009]) ).
tcf(c_86444,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,iPr_def_16) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8009]) ).
tcf(c_86445,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8009,c_15772]) ).
tcf(c_86446,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c6),multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8009,c_15741]) ).
tcf(c_86447,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8009,c_115]) ).
tcf(c_86448,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_8009,c_15772]) ).
tcf(c_86449,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c6,iPr_def_16)),multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8009,c_15772]) ).
tcf(c_86450,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8009,c_3908]) ).
tcf(c_86469,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_86414,c_11706]) ).
tcf(c_86473,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_86413,c_11706]) ).
tcf(c_86477,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_86412,c_11706]) ).
tcf(c_86481,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_86411,c_11706]) ).
tcf(c_86485,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_86409,c_11706]) ).
tcf(c_86489,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_86408,c_11706]) ).
tcf(c_86493,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_86407,c_11706]) ).
tcf(c_86497,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_86406,c_11706]) ).
tcf(c_87051,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_8019,c_19287]) ).
tcf(c_87064,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_87051,c_749]) ).
tcf(c_87065,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_87051,c_15772]) ).
tcf(c_87066,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_87051,c_15741]) ).
tcf(c_87067,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_87051,c_115]) ).
tcf(c_87068,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_87051,c_15772]) ).
tcf(c_87069,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_87051,c_15772]) ).
tcf(c_87070,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_87051,c_747]) ).
tcf(c_87072,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_87051,c_47380]) ).
tcf(c_87074,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_20,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_87051,c_47380]) ).
tcf(c_87119,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_1356,c_8136]) ).
tcf(c_87120,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2615,c_8136]) ).
tcf(c_87121,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2230,c_8136]) ).
tcf(c_87123,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2226,c_8136]) ).
tcf(c_87125,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2222,c_8136]) ).
tcf(c_87126,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2689,c_8136]) ).
tcf(c_87127,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2295,c_8136]) ).
tcf(c_87128,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2229,c_8136]) ).
tcf(c_87130,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2225,c_8136]) ).
tcf(c_87132,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_3906,c_8136]) ).
tcf(c_87133,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6824,c_8136]) ).
tcf(c_87135,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_8136]) ).
tcf(c_87137,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6816,c_8136]) ).
tcf(c_87138,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6814,c_8136]) ).
tcf(c_87139,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6825,c_8136]) ).
tcf(c_87141,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6821,c_8136]) ).
tcf(c_87143,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6817,c_8136]) ).
tcf(c_87144,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6815,c_8136]) ).
tcf(c_87145,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7464,c_8136]) ).
tcf(c_87146,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7459,c_8136]) ).
tcf(c_87147,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7458,c_8136]) ).
tcf(c_87148,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7454,c_8136]) ).
tcf(c_87150,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7465,c_8136]) ).
tcf(c_87151,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7461,c_8136]) ).
tcf(c_87152,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7460,c_8136]) ).
tcf(c_87153,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7455,c_8136]) ).
tcf(c_87183,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_16) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8136]) ).
tcf(c_87184,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8136,c_15772]) ).
tcf(c_87185,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c6),multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8136,c_15741]) ).
tcf(c_87186,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8136,c_115]) ).
tcf(c_87187,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_8136,c_15772]) ).
tcf(c_87188,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c6,iPr_def_16)),multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8136,c_15772]) ).
tcf(c_87189,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8136,c_3908]) ).
tcf(c_87249,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_87153,c_11706]) ).
tcf(c_87254,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_87152,c_11706]) ).
tcf(c_87259,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_87151,c_11706]) ).
tcf(c_87264,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_87150,c_11706]) ).
tcf(c_87269,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_87148,c_11706]) ).
tcf(c_87274,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_87147,c_11706]) ).
tcf(c_87279,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_87146,c_11706]) ).
tcf(c_87284,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_87145,c_11706]) ).
tcf(c_87326,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86071,c_26329]) ).
tcf(c_87327,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_86071,c_26327]) ).
tcf(c_87328,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_86071,c_19439]) ).
tcf(c_87339,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,multiply(sk_c11,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_86071,c_3884]) ).
tcf(c_87340,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_86071,c_3182]) ).
tcf(c_87341,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_86071,c_3135]) ).
tcf(c_87342,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_86071,c_2918]) ).
tcf(c_87343,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_86071,c_2821]) ).
tcf(c_87344,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_86071,c_2720]) ).
tcf(c_87345,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_86071,c_2570]) ).
tcf(c_87346,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_21) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_86071,c_2389]) ).
tcf(c_87347,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_86071,c_3904]) ).
tcf(c_87348,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_86071,c_1358]) ).
tcf(c_87350,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_86071,c_742]) ).
tcf(c_87351,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c3 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_87350,c_45468]) ).
tcf(c_87611,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87351,c_19609]) ).
tcf(c_87612,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87351,c_18777]) ).
tcf(c_87616,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87351,c_6039]) ).
tcf(c_87628,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_87351,c_3885]) ).
tcf(c_87629,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87351,c_2538]) ).
tcf(c_87630,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87351,c_2363]) ).
tcf(c_87631,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87351,c_2319]) ).
tcf(c_87635,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87351,c_741]) ).
tcf(c_87658,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_41862,c_45468]) ).
tcf(c_87686,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87658,c_73662]) ).
tcf(c_87692,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_28369]) ).
tcf(c_87693,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_28252]) ).
tcf(c_87694,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_27801]) ).
tcf(c_87695,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_25604]) ).
tcf(c_87696,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_24656]) ).
tcf(c_87697,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_24387]) ).
tcf(c_87698,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_19609]) ).
tcf(c_87699,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_18777]) ).
tcf(c_87703,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_6039]) ).
tcf(c_87715,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_87658,c_3885]) ).
tcf(c_87716,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_2538]) ).
tcf(c_87717,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_2363]) ).
tcf(c_87718,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_2319]) ).
tcf(c_87721,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_87658,c_731]) ).
tcf(c_87722,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( inverse(sk_c2) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87658,c_741]) ).
tcf(c_87774,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_42075,c_747]) ).
tcf(c_87825,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_810,c_17443]) ).
tcf(c_87826,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_800,c_17443]) ).
tcf(c_87829,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_790,c_17443]) ).
tcf(c_87833,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_780,c_17443]) ).
tcf(c_87836,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_25 )
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_770,c_17443]) ).
tcf(c_87969,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_800,c_17444]) ).
tcf(c_87972,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_790,c_17444]) ).
tcf(c_87979,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_25 )
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_770,c_17444]) ).
tcf(c_88014,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19301,c_17447]) ).
tcf(c_88046,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_810,c_17447]) ).
tcf(c_88047,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_800,c_17447]) ).
tcf(c_88050,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( iPr_def_23 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_790,c_17447]) ).
tcf(c_88054,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_780,c_17447]) ).
tcf(c_88057,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( iPr_def_23 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_770,c_17447]) ).
tcf(c_88063,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_27 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_760,c_17447]) ).
tcf(c_88147,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_790,c_17451]) ).
tcf(c_88151,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_780,c_17451]) ).
tcf(c_88154,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_25 )
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_770,c_17451]) ).
tcf(c_88189,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19301,c_17454]) ).
tcf(c_88221,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_810,c_17454]) ).
tcf(c_88222,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_800,c_17454]) ).
tcf(c_88225,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( iPr_def_23 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_790,c_17454]) ).
tcf(c_88229,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_780,c_17454]) ).
tcf(c_88232,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( iPr_def_23 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_770,c_17454]) ).
tcf(c_88238,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_25 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_760,c_17454]) ).
tcf(c_88322,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_790,c_17460]) ).
tcf(c_88329,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_25 )
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_770,c_17460]) ).
tcf(c_88335,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_24 )
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_760,c_17460]) ).
tcf(c_88396,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_810,c_17566]) ).
tcf(c_88397,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_17566]) ).
tcf(c_88400,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_790,c_17566]) ).
tcf(c_88404,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_780,c_17566]) ).
tcf(c_88407,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_770,c_17566]) ).
tcf(c_88485,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_17567]) ).
tcf(c_88488,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_790,c_17567]) ).
tcf(c_88495,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_770,c_17567]) ).
tcf(c_88528,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_25,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82584,c_87721]) ).
tcf(c_88536,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_62667,c_87721]) ).
tcf(c_88566,plain,
( ( iPr_def_20 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_87721,c_749]) ).
tcf(c_88567,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_87721,c_15772]) ).
tcf(c_88568,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_87721,c_15741]) ).
tcf(c_88570,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_87721,c_15772]) ).
tcf(c_88571,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_87721,c_3904]) ).
tcf(c_88585,plain,
( ( iPr_def_20 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_88566,c_742]) ).
tcf(c_88724,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,sk_c7) ) ),
inference(superposition,[status(thm)],[c_1356,c_8148]) ).
tcf(c_88728,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2226,c_8148]) ).
tcf(c_88730,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2222,c_8148]) ).
tcf(c_88732,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2295,c_8148]) ).
tcf(c_88735,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2225,c_8148]) ).
tcf(c_88737,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c7,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_3906,c_8148]) ).
tcf(c_88740,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_8148]) ).
tcf(c_88742,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6816,c_8148]) ).
tcf(c_88746,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6821,c_8148]) ).
tcf(c_88748,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_6817,c_8148]) ).
tcf(c_88750,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7464,c_8148]) ).
tcf(c_88751,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7459,c_8148]) ).
tcf(c_88752,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7458,c_8148]) ).
tcf(c_88753,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7454,c_8148]) ).
tcf(c_88755,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7465,c_8148]) ).
tcf(c_88756,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7461,c_8148]) ).
tcf(c_88757,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7460,c_8148]) ).
tcf(c_88758,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7455,c_8148]) ).
tcf(c_88788,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_16) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8148]) ).
tcf(c_88789,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8148,c_15772]) ).
tcf(c_88790,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c6),multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8148,c_15741]) ).
tcf(c_88791,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8148,c_115]) ).
tcf(c_88792,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_8148,c_15772]) ).
tcf(c_88793,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c6,iPr_def_16)),multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8148,c_15772]) ).
tcf(c_88794,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8148,c_3908]) ).
tcf(c_88803,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_88794,c_7194]) ).
tcf(c_88832,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_88758,c_11706]) ).
tcf(c_88837,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_88757,c_11706]) ).
tcf(c_88842,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_88756,c_11706]) ).
tcf(c_88847,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_88755,c_11706]) ).
tcf(c_88852,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_88753,c_11706]) ).
tcf(c_88857,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_88752,c_11706]) ).
tcf(c_88862,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_88751,c_11706]) ).
tcf(c_88867,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_88750,c_11706]) ).
tcf(c_88885,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c11) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8184]) ).
tcf(c_88886,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73054,c_8184]) ).
tcf(c_88889,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73164,c_8184]) ).
tcf(c_88891,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73160,c_8184]) ).
tcf(c_88895,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73165,c_8184]) ).
tcf(c_88897,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_73161,c_8184]) ).
tcf(c_88899,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26344,c_8184]) ).
tcf(c_88900,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26342,c_8184]) ).
tcf(c_88915,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_3177,c_8184]) ).
tcf(c_88916,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2915,c_8184]) ).
tcf(c_88919,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2184,c_8184]) ).
tcf(c_88920,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2178,c_8184]) ).
tcf(c_88921,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2017,c_8184]) ).
tcf(c_88922,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2011,c_8184]) ).
tcf(c_88925,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1482,c_8184]) ).
tcf(c_88926,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1403,c_8184]) ).
tcf(c_88939,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(iPr_def_16,multiply(multiply(sk_c11,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8184,c_15772]) ).
tcf(c_88940,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_8184,c_15741]) ).
tcf(c_88941,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8184,c_115]) ).
tcf(c_88942,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c11,X1) ) ),
inference(superposition,[status(thm)],[c_8184,c_15772]) ).
tcf(c_88943,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c11)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8184,c_15772]) ).
tcf(c_88950,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_8184,c_23177]) ).
tcf(c_88952,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_8184,c_23173]) ).
tcf(c_88954,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_8184,c_22996]) ).
tcf(c_88969,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c9,identity) = multiply(iPr_def_16,identity) ) ),
inference(light_normalisation,[status(thm)],[c_88886,c_73178]) ).
tcf(c_89037,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21723,c_8310]) ).
tcf(c_89039,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21721,c_8310]) ).
tcf(c_89047,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,sk_c7) ) ),
inference(superposition,[status(thm)],[c_1356,c_8310]) ).
tcf(c_89051,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2226,c_8310]) ).
tcf(c_89053,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2222,c_8310]) ).
tcf(c_89055,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2295,c_8310]) ).
tcf(c_89058,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2225,c_8310]) ).
tcf(c_89060,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_3906,c_8310]) ).
tcf(c_89063,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6820,c_8310]) ).
tcf(c_89065,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6816,c_8310]) ).
tcf(c_89069,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6821,c_8310]) ).
tcf(c_89071,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6817,c_8310]) ).
tcf(c_89073,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7464,c_8310]) ).
tcf(c_89074,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7459,c_8310]) ).
tcf(c_89075,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7458,c_8310]) ).
tcf(c_89076,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7454,c_8310]) ).
tcf(c_89078,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7465,c_8310]) ).
tcf(c_89079,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7461,c_8310]) ).
tcf(c_89080,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7460,c_8310]) ).
tcf(c_89081,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7455,c_8310]) ).
tcf(c_89112,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_14,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8310]) ).
tcf(c_89113,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c8,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8310,c_15772]) ).
tcf(c_89114,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8310,c_15741]) ).
tcf(c_89115,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8310,c_115]) ).
tcf(c_89116,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_8310,c_15772]) ).
tcf(c_89117,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,iPr_def_16)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8310,c_15772]) ).
tcf(c_89118,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8310,c_3907]) ).
tcf(c_89159,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_89081,c_12297]) ).
tcf(c_89164,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_89080,c_12297]) ).
tcf(c_89169,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_89079,c_12297]) ).
tcf(c_89174,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_89078,c_12297]) ).
tcf(c_89179,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_89076,c_12297]) ).
tcf(c_89184,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_89075,c_12297]) ).
tcf(c_89189,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_89074,c_12297]) ).
tcf(c_89194,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_89073,c_12297]) ).
tcf(c_89264,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_43288,c_45468]) ).
tcf(c_89298,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_28369]) ).
tcf(c_89299,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_28252]) ).
tcf(c_89300,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_27801]) ).
tcf(c_89301,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_25604]) ).
tcf(c_89302,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_24656]) ).
tcf(c_89303,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_24387]) ).
tcf(c_89304,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_19609]) ).
tcf(c_89305,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_18777]) ).
tcf(c_89321,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_89264,c_3885]) ).
tcf(c_89322,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_2538]) ).
tcf(c_89323,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_2363]) ).
tcf(c_89324,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_2319]) ).
tcf(c_89327,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89264,c_731]) ).
tcf(c_89328,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( inverse(sk_c2) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89264,c_741]) ).
tcf(c_89374,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_43494,c_747]) ).
tcf(c_89382,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_43882,c_45468]) ).
tcf(c_89409,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89382,c_73812]) ).
tcf(c_89410,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89382,c_73662]) ).
tcf(c_89416,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_28369]) ).
tcf(c_89417,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_28252]) ).
tcf(c_89418,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_27801]) ).
tcf(c_89419,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_25604]) ).
tcf(c_89420,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_24656]) ).
tcf(c_89421,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_24387]) ).
tcf(c_89422,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_19609]) ).
tcf(c_89423,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_18777]) ).
tcf(c_89427,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_6039]) ).
tcf(c_89439,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(sk_c12,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_89382,c_3885]) ).
tcf(c_89440,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_2538]) ).
tcf(c_89441,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_2363]) ).
tcf(c_89442,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_2319]) ).
tcf(c_89445,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89382,c_731]) ).
tcf(c_89446,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(sk_c2) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89382,c_741]) ).
tcf(c_89607,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_44360,c_747]) ).
tcf(c_89626,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19301,c_17570]) ).
tcf(c_89658,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_810,c_17570]) ).
tcf(c_89659,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_17570]) ).
tcf(c_89662,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( iPr_def_27 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_790,c_17570]) ).
tcf(c_89666,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_780,c_17570]) ).
tcf(c_89669,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( iPr_def_25 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_770,c_17570]) ).
tcf(c_89675,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_760,c_17570]) ).
tcf(c_89759,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_790,c_17574]) ).
tcf(c_89763,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_780,c_17574]) ).
tcf(c_89766,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_770,c_17574]) ).
tcf(c_89801,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_19301,c_17577]) ).
tcf(c_89833,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_810,c_17577]) ).
tcf(c_89834,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_800,c_17577]) ).
tcf(c_89837,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_28 )
| ( iPr_def_25 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_790,c_17577]) ).
tcf(c_89841,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_780,c_17577]) ).
tcf(c_89844,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( iPr_def_25 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_770,c_17577]) ).
tcf(c_89850,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_760,c_17577]) ).
tcf(c_89934,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_27 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_790,c_17583]) ).
tcf(c_89941,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_25 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_770,c_17583]) ).
tcf(c_89947,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_29 )
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_760,c_17583]) ).
tcf(c_89979,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7902,c_15772]) ).
tcf(c_89980,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7902,c_15741]) ).
tcf(c_89982,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7902,c_15772]) ).
tcf(c_89983,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7902,c_8310]) ).
tcf(c_89984,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7902,c_8148]) ).
tcf(c_89985,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7902,c_8136]) ).
tcf(c_89988,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7902,c_23181]) ).
tcf(c_89990,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7902,c_23177]) ).
tcf(c_89991,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7902,c_23175]) ).
tcf(c_89993,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7902,c_23171]) ).
tcf(c_89994,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7902,c_22996]) ).
tcf(c_90003,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_89985,c_11706]) ).
tcf(c_90025,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_89984,c_11706]) ).
tcf(c_90030,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_89983,c_12297]) ).
tcf(c_90122,plain,
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_89327,c_749]) ).
tcf(c_90123,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_89327,c_15772]) ).
tcf(c_90124,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_89327,c_15741]) ).
tcf(c_90126,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_89327,c_15772]) ).
tcf(c_90127,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_89327,c_3904]) ).
tcf(c_90135,plain,
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_90122,c_742]) ).
tcf(c_90148,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_84068,c_89445]) ).
tcf(c_90149,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82584,c_89445]) ).
tcf(c_90154,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66289,c_89445]) ).
tcf(c_90157,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_62667,c_89445]) ).
tcf(c_90187,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_89445,c_749]) ).
tcf(c_90188,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c2,multiply(sk_c12,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_89445,c_15772]) ).
tcf(c_90189,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_89445,c_15741]) ).
tcf(c_90191,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_15)) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_89445,c_15772]) ).
tcf(c_90192,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = sk_c12 ) ),
inference(superposition,[status(thm)],[c_89445,c_3904]) ).
tcf(c_90212,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_90187,c_742]) ).
tcf(c_90219,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_8320,c_26329]) ).
tcf(c_90230,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36987,c_90219]) ).
tcf(c_90231,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36615,c_90219]) ).
tcf(c_90232,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36189,c_90219]) ).
tcf(c_90233,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33729,c_90219]) ).
tcf(c_90234,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33500,c_90219]) ).
tcf(c_90235,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33134,c_90219]) ).
tcf(c_90236,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32872,c_90219]) ).
tcf(c_90237,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28976,c_90219]) ).
tcf(c_90238,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28636,c_90219]) ).
tcf(c_90239,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20925,c_90219]) ).
tcf(c_90240,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20921,c_90219]) ).
tcf(c_90241,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20856,c_90219]) ).
tcf(c_90242,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20852,c_90219]) ).
tcf(c_90243,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18644,c_90219]) ).
tcf(c_90244,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18620,c_90219]) ).
tcf(c_90245,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5784,c_90219]) ).
tcf(c_90246,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5665,c_90219]) ).
tcf(c_90247,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5604,c_90219]) ).
tcf(c_90248,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5602,c_90219]) ).
tcf(c_90249,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5511,c_90219]) ).
tcf(c_90250,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5509,c_90219]) ).
tcf(c_90251,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4861,c_90219]) ).
tcf(c_90252,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4802,c_90219]) ).
tcf(c_90253,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4769,c_90219]) ).
tcf(c_90254,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4767,c_90219]) ).
tcf(c_90255,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4582,c_90219]) ).
tcf(c_90256,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4580,c_90219]) ).
tcf(c_90258,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_90219,c_15772]) ).
tcf(c_90259,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_90219,c_15741]) ).
tcf(c_90260,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_90219,c_115]) ).
tcf(c_90261,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_90219,c_15772]) ).
tcf(c_90262,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_90219,c_15772]) ).
tcf(c_90263,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_90219,c_747]) ).
tcf(c_90264,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_90219,c_6807]) ).
tcf(c_90265,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_90219,c_47380]) ).
tcf(c_90267,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_90219,c_47380]) ).
tcf(c_90850,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,identity) = multiply(iPr_def_22,sk_c2) ) ),
inference(superposition,[status(thm)],[c_1358,c_8332]) ).
tcf(c_90851,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68696,c_8332]) ).
tcf(c_90852,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68577,c_8332]) ).
tcf(c_90853,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_66379,c_8332]) ).
tcf(c_90854,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_66143,c_8332]) ).
tcf(c_90855,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65309,c_8332]) ).
tcf(c_90856,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65135,c_8332]) ).
tcf(c_90857,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_22,multiply(sk_c2,X0)) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_3904,c_8332]) ).
tcf(c_90858,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,sk_c11) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_6804,c_8332]) ).
tcf(c_90859,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(sk_c11,X0)) = multiply(iPr_def_22,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_6807,c_8332]) ).
tcf(c_90860,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_26) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8332]) ).
tcf(c_90861,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69342,c_8332]) ).
tcf(c_90862,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69341,c_8332]) ).
tcf(c_90863,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69340,c_8332]) ).
tcf(c_90864,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69339,c_8332]) ).
tcf(c_90865,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69338,c_8332]) ).
tcf(c_90866,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69151,c_8332]) ).
tcf(c_90867,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69150,c_8332]) ).
tcf(c_90868,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69149,c_8332]) ).
tcf(c_90869,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69148,c_8332]) ).
tcf(c_90870,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69147,c_8332]) ).
tcf(c_90871,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68434,c_8332]) ).
tcf(c_90872,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68433,c_8332]) ).
tcf(c_90873,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68432,c_8332]) ).
tcf(c_90874,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68431,c_8332]) ).
tcf(c_90875,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68430,c_8332]) ).
tcf(c_90876,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65611,c_8332]) ).
tcf(c_90877,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65610,c_8332]) ).
tcf(c_90878,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65609,c_8332]) ).
tcf(c_90879,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65608,c_8332]) ).
tcf(c_90880,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65607,c_8332]) ).
tcf(c_90886,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38350,c_8332]) ).
tcf(c_90887,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38348,c_8332]) ).
tcf(c_90888,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38295,c_8332]) ).
tcf(c_90889,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38294,c_8332]) ).
tcf(c_90890,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38065,c_8332]) ).
tcf(c_90891,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38063,c_8332]) ).
tcf(c_90892,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38006,c_8332]) ).
tcf(c_90893,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38004,c_8332]) ).
tcf(c_90894,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37930,c_8332]) ).
tcf(c_90895,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37929,c_8332]) ).
tcf(c_90896,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37778,c_8332]) ).
tcf(c_90897,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37776,c_8332]) ).
tcf(c_90898,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37403,c_8332]) ).
tcf(c_90899,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37402,c_8332]) ).
tcf(c_90900,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_31585,c_8332]) ).
tcf(c_90901,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_31584,c_8332]) ).
tcf(c_90902,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_31300,c_8332]) ).
tcf(c_90903,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_31299,c_8332]) ).
tcf(c_90904,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(sk_c5,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8332,c_15772]) ).
tcf(c_90905,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c5),multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8332,c_15741]) ).
tcf(c_90906,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c5,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(iPr_def_22,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8332,c_115]) ).
tcf(c_90907,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_22,X1))) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_8332,c_15772]) ).
tcf(c_90908,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c5,iPr_def_26)),multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8332,c_15772]) ).
tcf(c_90909,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8332,c_3909]) ).
tcf(c_90912,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_27) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_90858,c_18696]) ).
tcf(c_90935,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_22,multiply(iPr_def_27,X0)) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_90859,c_3880]) ).
tcf(c_91117,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45470,c_747]) ).
tcf(c_91149,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45471,c_747]) ).
tcf(c_91181,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45472,c_747]) ).
tcf(c_91213,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45473,c_747]) ).
tcf(c_91252,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7903,c_15772]) ).
tcf(c_91253,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7903,c_15741]) ).
tcf(c_91255,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7903,c_15772]) ).
tcf(c_91256,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7903,c_8310]) ).
tcf(c_91257,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7903,c_8148]) ).
tcf(c_91258,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7903,c_8136]) ).
tcf(c_91261,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7903,c_23181]) ).
tcf(c_91263,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7903,c_23177]) ).
tcf(c_91264,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7903,c_23175]) ).
tcf(c_91266,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7903,c_23171]) ).
tcf(c_91267,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7903,c_22996]) ).
tcf(c_91276,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_91258,c_11706]) ).
tcf(c_91298,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_91257,c_11706]) ).
tcf(c_91303,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_91256,c_12297]) ).
tcf(c_91590,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,identity) = multiply(iPr_def_18,sk_c2) ) ),
inference(superposition,[status(thm)],[c_1358,c_8354]) ).
tcf(c_91591,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68696,c_8354]) ).
tcf(c_91592,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68577,c_8354]) ).
tcf(c_91593,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_66379,c_8354]) ).
tcf(c_91594,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_66143,c_8354]) ).
tcf(c_91595,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65309,c_8354]) ).
tcf(c_91596,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65135,c_8354]) ).
tcf(c_91597,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_18,multiply(sk_c2,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_3904,c_8354]) ).
tcf(c_91598,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_18,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_6804,c_8354]) ).
tcf(c_91599,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(sk_c11,X0)) = multiply(iPr_def_18,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_6807,c_8354]) ).
tcf(c_91600,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_26) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8354]) ).
tcf(c_91601,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69342,c_8354]) ).
tcf(c_91602,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69341,c_8354]) ).
tcf(c_91603,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69340,c_8354]) ).
tcf(c_91604,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69339,c_8354]) ).
tcf(c_91605,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69338,c_8354]) ).
tcf(c_91606,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69151,c_8354]) ).
tcf(c_91607,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69150,c_8354]) ).
tcf(c_91608,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69149,c_8354]) ).
tcf(c_91609,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69148,c_8354]) ).
tcf(c_91610,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69147,c_8354]) ).
tcf(c_91611,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68434,c_8354]) ).
tcf(c_91612,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68433,c_8354]) ).
tcf(c_91613,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68432,c_8354]) ).
tcf(c_91614,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68431,c_8354]) ).
tcf(c_91615,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68430,c_8354]) ).
tcf(c_91616,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65611,c_8354]) ).
tcf(c_91617,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65610,c_8354]) ).
tcf(c_91618,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65609,c_8354]) ).
tcf(c_91619,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65608,c_8354]) ).
tcf(c_91620,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65607,c_8354]) ).
tcf(c_91626,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38350,c_8354]) ).
tcf(c_91627,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38348,c_8354]) ).
tcf(c_91628,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38295,c_8354]) ).
tcf(c_91629,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38294,c_8354]) ).
tcf(c_91630,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38065,c_8354]) ).
tcf(c_91631,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38063,c_8354]) ).
tcf(c_91632,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38006,c_8354]) ).
tcf(c_91633,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38004,c_8354]) ).
tcf(c_91634,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37930,c_8354]) ).
tcf(c_91635,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37929,c_8354]) ).
tcf(c_91636,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37778,c_8354]) ).
tcf(c_91637,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37776,c_8354]) ).
tcf(c_91638,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37403,c_8354]) ).
tcf(c_91639,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37402,c_8354]) ).
tcf(c_91640,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31585,c_8354]) ).
tcf(c_91641,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31584,c_8354]) ).
tcf(c_91642,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31300,c_8354]) ).
tcf(c_91643,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31299,c_8354]) ).
tcf(c_91644,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(sk_c9,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8354,c_15772]) ).
tcf(c_91645,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_18,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8354,c_15741]) ).
tcf(c_91646,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c9,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8354,c_115]) ).
tcf(c_91647,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_8354,c_15772]) ).
tcf(c_91648,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c9,iPr_def_26)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8354,c_15772]) ).
tcf(c_91649,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_14,multiply(iPr_def_26,X0)) ) ),
inference(superposition,[status(thm)],[c_8354,c_3883]) ).
tcf(c_91650,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,multiply(iPr_def_26,X0)) ) ),
inference(superposition,[status(thm)],[c_8354,c_3881]) ).
tcf(c_91653,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_91598,c_734]) ).
tcf(c_91663,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,multiply(iPr_def_26,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_91650,c_11812]) ).
tcf(c_91666,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_14,multiply(sk_c11,X0)) = multiply(iPr_def_14,multiply(iPr_def_26,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_91649,c_12310]) ).
tcf(c_91681,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_18,multiply(iPr_def_27,X0)) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_91599,c_3882]) ).
tcf(c_91878,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_8426,c_19287]) ).
tcf(c_91891,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c12 != sk_c10 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_91878,c_749]) ).
tcf(c_91892,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_91878,c_15772]) ).
tcf(c_91893,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_91878,c_15741]) ).
tcf(c_91894,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_91878,c_115]) ).
tcf(c_91895,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_91878,c_15772]) ).
tcf(c_91896,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_91878,c_15772]) ).
tcf(c_91897,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_20) )
| ( inverse(inverse(iPr_def_20)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_91878,c_747]) ).
tcf(c_91898,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_91878,c_7194]) ).
tcf(c_91899,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_91878,c_47380]) ).
tcf(c_91901,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_20,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_91878,c_47380]) ).
tcf(c_91968,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,identity) = multiply(iPr_def_19,sk_c11) ) ),
inference(superposition,[status(thm)],[c_16791,c_8548]) ).
tcf(c_91969,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),sk_c9)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73054,c_8548]) ).
tcf(c_91972,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73164,c_8548]) ).
tcf(c_91974,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73160,c_8548]) ).
tcf(c_91978,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73165,c_8548]) ).
tcf(c_91980,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(inverse(iPr_def_18),iPr_def_16)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_73161,c_8548]) ).
tcf(c_91982,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26344,c_8548]) ).
tcf(c_91983,plain,
! [X0: $i] :
( ( identity = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_26342,c_8548]) ).
tcf(c_91998,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_3177,c_8548]) ).
tcf(c_91999,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2915,c_8548]) ).
tcf(c_92002,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2184,c_8548]) ).
tcf(c_92003,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2178,c_8548]) ).
tcf(c_92004,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2017,c_8548]) ).
tcf(c_92005,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2011,c_8548]) ).
tcf(c_92008,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_24,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1482,c_8548]) ).
tcf(c_92009,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_21,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1403,c_8548]) ).
tcf(c_92022,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(iPr_def_19,multiply(multiply(sk_c11,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8548,c_15772]) ).
tcf(c_92023,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_8548,c_15741]) ).
tcf(c_92024,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8548,c_115]) ).
tcf(c_92025,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(sk_c11,X1) ) ),
inference(superposition,[status(thm)],[c_8548,c_15772]) ).
tcf(c_92026,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_19,sk_c11)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8548,c_15772]) ).
tcf(c_92028,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_8548,c_19287]) ).
tcf(c_92032,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(sk_c11,X0) ) ),
inference(light_normalisation,[status(thm)],[c_92028,c_11812]) ).
tcf(c_92042,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c9,identity) = multiply(iPr_def_19,identity) ) ),
inference(light_normalisation,[status(thm)],[c_91969,c_73178]) ).
tcf(c_92154,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21723,c_8697]) ).
tcf(c_92156,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21721,c_8697]) ).
tcf(c_92164,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,identity) = multiply(iPr_def_14,sk_c6) ) ),
inference(superposition,[status(thm)],[c_1354,c_8697]) ).
tcf(c_92165,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(sk_c6,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_3908,c_8697]) ).
tcf(c_92166,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,sk_c9) = multiply(iPr_def_14,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_7191,c_8697]) ).
tcf(c_92167,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,multiply(sk_c9,X0)) = multiply(iPr_def_14,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_7194,c_8697]) ).
tcf(c_92168,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7617,c_8697]) ).
tcf(c_92169,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7612,c_8697]) ).
tcf(c_92170,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7611,c_8697]) ).
tcf(c_92177,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7618,c_8697]) ).
tcf(c_92178,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7614,c_8697]) ).
tcf(c_92179,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7613,c_8697]) ).
tcf(c_92215,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_19) = multiply(iPr_def_14,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8697]) ).
tcf(c_92216,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c8,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8697,c_15772]) ).
tcf(c_92217,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_8697,c_15741]) ).
tcf(c_92218,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,multiply(multiply(iPr_def_19,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8697,c_115]) ).
tcf(c_92219,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_8697,c_15772]) ).
tcf(c_92220,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,iPr_def_19)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8697,c_15772]) ).
tcf(c_92221,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_8697,c_3907]) ).
tcf(c_92224,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_20) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_92166,c_21749]) ).
tcf(c_92237,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_20,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_92167,c_3883]) ).
tcf(c_92248,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_92179,c_12297]) ).
tcf(c_92253,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_92178,c_12297]) ).
tcf(c_92258,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_92177,c_12297]) ).
tcf(c_92263,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_92170,c_12297]) ).
tcf(c_92268,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_92169,c_12297]) ).
tcf(c_92273,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,sk_c11) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_92168,c_12297]) ).
tcf(c_92353,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45474,c_747]) ).
tcf(c_92385,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45475,c_747]) ).
tcf(c_92417,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45476,c_747]) ).
tcf(c_92465,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45477,c_747]) ).
tcf(c_92482,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,sk_c12) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_18503,c_737,c_18552]) ).
tcf(c_92492,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26346,c_92482]) ).
tcf(c_92493,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26345,c_92482]) ).
tcf(c_92494,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26343,c_92482]) ).
tcf(c_92495,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23713,c_92482]) ).
tcf(c_92496,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23712,c_92482]) ).
tcf(c_92497,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23711,c_92482]) ).
tcf(c_92498,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19298,c_92482]) ).
tcf(c_92499,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18522,c_92482]) ).
tcf(c_92503,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3131,c_92482]) ).
tcf(c_92504,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2819,c_92482]) ).
tcf(c_92505,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2719,c_92482]) ).
tcf(c_92506,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2564,c_92482]) ).
tcf(c_92507,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2335,c_92482]) ).
tcf(c_92508,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2296,c_92482]) ).
tcf(c_92509,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2130,c_92482]) ).
tcf(c_92510,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2124,c_92482]) ).
tcf(c_92511,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1941,c_92482]) ).
tcf(c_92512,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1935,c_92482]) ).
tcf(c_92513,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1832,c_92482]) ).
tcf(c_92514,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1826,c_92482]) ).
tcf(c_92515,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1459,c_92482]) ).
tcf(c_92516,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1374,c_92482]) ).
tcf(c_92517,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1297,c_92482]) ).
tcf(c_92719,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,sk_c12) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_19282,c_735,c_20028]) ).
tcf(c_92729,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26346,c_92719]) ).
tcf(c_92730,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26345,c_92719]) ).
tcf(c_92731,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26343,c_92719]) ).
tcf(c_92732,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23713,c_92719]) ).
tcf(c_92733,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23712,c_92719]) ).
tcf(c_92734,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23711,c_92719]) ).
tcf(c_92735,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19298,c_92719]) ).
tcf(c_92736,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18522,c_92719]) ).
tcf(c_92740,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3131,c_92719]) ).
tcf(c_92741,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2819,c_92719]) ).
tcf(c_92742,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2719,c_92719]) ).
tcf(c_92743,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2564,c_92719]) ).
tcf(c_92744,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2335,c_92719]) ).
tcf(c_92745,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2296,c_92719]) ).
tcf(c_92746,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2130,c_92719]) ).
tcf(c_92747,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2124,c_92719]) ).
tcf(c_92748,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1941,c_92719]) ).
tcf(c_92749,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1935,c_92719]) ).
tcf(c_92750,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1832,c_92719]) ).
tcf(c_92751,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1826,c_92719]) ).
tcf(c_92752,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1459,c_92719]) ).
tcf(c_92753,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1374,c_92719]) ).
tcf(c_92754,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1297,c_92719]) ).
tcf(c_92758,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92754,c_11706]) ).
tcf(c_92771,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92751,c_11706]) ).
tcf(c_92776,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92750,c_11706]) ).
tcf(c_92809,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92742,c_11706]) ).
tcf(c_92838,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92732,c_11706]) ).
tcf(c_92851,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92729,c_11706]) ).
tcf(c_92929,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,sk_c12) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_21645,c_733,c_21718]) ).
tcf(c_92939,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_16,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21725,c_92929]) ).
tcf(c_92940,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_16,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21724,c_92929]) ).
tcf(c_92941,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_16,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21723,c_92929]) ).
tcf(c_92942,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_16,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21722,c_92929]) ).
tcf(c_92943,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_16,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21721,c_92929]) ).
tcf(c_92944,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_16,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21720,c_92929]) ).
tcf(c_92945,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26346,c_92929]) ).
tcf(c_92946,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26345,c_92929]) ).
tcf(c_92947,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26343,c_92929]) ).
tcf(c_92948,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23713,c_92929]) ).
tcf(c_92949,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23712,c_92929]) ).
tcf(c_92950,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23711,c_92929]) ).
tcf(c_92951,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19298,c_92929]) ).
tcf(c_92952,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18522,c_92929]) ).
tcf(c_92956,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3131,c_92929]) ).
tcf(c_92957,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2819,c_92929]) ).
tcf(c_92958,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2719,c_92929]) ).
tcf(c_92959,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2564,c_92929]) ).
tcf(c_92960,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2335,c_92929]) ).
tcf(c_92961,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2296,c_92929]) ).
tcf(c_92962,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2130,c_92929]) ).
tcf(c_92963,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2124,c_92929]) ).
tcf(c_92964,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1941,c_92929]) ).
tcf(c_92965,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1935,c_92929]) ).
tcf(c_92966,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1832,c_92929]) ).
tcf(c_92967,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1826,c_92929]) ).
tcf(c_92968,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1459,c_92929]) ).
tcf(c_92969,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1374,c_92929]) ).
tcf(c_92970,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1297,c_92929]) ).
tcf(c_92974,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92970,c_12297]) ).
tcf(c_92987,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92967,c_12297]) ).
tcf(c_92992,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92966,c_12297]) ).
tcf(c_93025,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92958,c_12297]) ).
tcf(c_93054,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92948,c_12297]) ).
tcf(c_93067,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_92945,c_12297]) ).
tcf(c_93127,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,sk_c12) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_22991,c_732,c_23140]) ).
tcf(c_93143,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_17,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_805,c_93127]) ).
tcf(c_93144,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_14,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_803,c_93127]) ).
tcf(c_93145,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_17,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_795,c_93127]) ).
tcf(c_93146,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_14,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_793,c_93127]) ).
tcf(c_93147,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_17,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_785,c_93127]) ).
tcf(c_93148,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_14,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_783,c_93127]) ).
tcf(c_93149,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_17,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_775,c_93127]) ).
tcf(c_93150,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_14,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_773,c_93127]) ).
tcf(c_93151,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_17,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_765,c_93127]) ).
tcf(c_93152,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_14,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_763,c_93127]) ).
tcf(c_93153,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_17,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_755,c_93127]) ).
tcf(c_93154,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(iPr_def_14,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_753,c_93127]) ).
tcf(c_93155,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26346,c_93127]) ).
tcf(c_93156,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26345,c_93127]) ).
tcf(c_93157,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26343,c_93127]) ).
tcf(c_93158,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23713,c_93127]) ).
tcf(c_93159,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23712,c_93127]) ).
tcf(c_93160,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23711,c_93127]) ).
tcf(c_93161,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19298,c_93127]) ).
tcf(c_93162,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18522,c_93127]) ).
tcf(c_93166,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3131,c_93127]) ).
tcf(c_93167,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2819,c_93127]) ).
tcf(c_93168,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2719,c_93127]) ).
tcf(c_93169,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2564,c_93127]) ).
tcf(c_93170,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2335,c_93127]) ).
tcf(c_93171,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2296,c_93127]) ).
tcf(c_93172,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2130,c_93127]) ).
tcf(c_93173,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2124,c_93127]) ).
tcf(c_93174,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1941,c_93127]) ).
tcf(c_93175,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1935,c_93127]) ).
tcf(c_93176,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1832,c_93127]) ).
tcf(c_93177,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1826,c_93127]) ).
tcf(c_93178,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1459,c_93127]) ).
tcf(c_93179,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1374,c_93127]) ).
tcf(c_93180,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1297,c_93127]) ).
tcf(c_93423,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_810,c_25408]) ).
tcf(c_93424,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_800,c_25408]) ).
tcf(c_93427,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_790,c_25408]) ).
tcf(c_93431,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_780,c_25408]) ).
tcf(c_93434,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_25 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_770,c_25408]) ).
tcf(c_93512,plain,
( ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_800,c_25409]) ).
tcf(c_93515,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_790,c_25409]) ).
tcf(c_93522,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( identity != iPr_def_25 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_770,c_25409]) ).
tcf(c_93557,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_19301,c_25412]) ).
tcf(c_93589,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_810,c_25412]) ).
tcf(c_93590,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_800,c_25412]) ).
tcf(c_93593,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_790,c_25412]) ).
tcf(c_93597,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_780,c_25412]) ).
tcf(c_93600,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_25 )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_770,c_25412]) ).
tcf(c_93606,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_760,c_25412]) ).
tcf(c_93733,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_790,c_25416]) ).
tcf(c_93737,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_780,c_25416]) ).
tcf(c_93740,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_25 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_770,c_25416]) ).
tcf(c_93770,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7906,c_15772]) ).
tcf(c_93771,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7906,c_15741]) ).
tcf(c_93773,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7906,c_15772]) ).
tcf(c_93775,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7906,c_8148]) ).
tcf(c_93776,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7906,c_8136]) ).
tcf(c_93779,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7906,c_23181]) ).
tcf(c_93781,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7906,c_23177]) ).
tcf(c_93782,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7906,c_23175]) ).
tcf(c_93784,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7906,c_23171]) ).
tcf(c_93785,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7906,c_22996]) ).
tcf(c_93794,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_93776,c_11706]) ).
tcf(c_93816,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_93775,c_11706]) ).
tcf(c_93859,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_8707,c_26329]) ).
tcf(c_93870,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36987,c_93859]) ).
tcf(c_93871,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36615,c_93859]) ).
tcf(c_93872,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36189,c_93859]) ).
tcf(c_93873,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33729,c_93859]) ).
tcf(c_93874,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33500,c_93859]) ).
tcf(c_93875,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33134,c_93859]) ).
tcf(c_93876,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32872,c_93859]) ).
tcf(c_93877,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28976,c_93859]) ).
tcf(c_93878,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28636,c_93859]) ).
tcf(c_93879,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20925,c_93859]) ).
tcf(c_93880,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20921,c_93859]) ).
tcf(c_93881,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20856,c_93859]) ).
tcf(c_93882,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20852,c_93859]) ).
tcf(c_93883,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18644,c_93859]) ).
tcf(c_93884,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18620,c_93859]) ).
tcf(c_93885,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5784,c_93859]) ).
tcf(c_93886,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5665,c_93859]) ).
tcf(c_93887,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5604,c_93859]) ).
tcf(c_93888,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5602,c_93859]) ).
tcf(c_93889,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5511,c_93859]) ).
tcf(c_93890,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5509,c_93859]) ).
tcf(c_93891,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4861,c_93859]) ).
tcf(c_93892,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4802,c_93859]) ).
tcf(c_93893,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4769,c_93859]) ).
tcf(c_93894,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4767,c_93859]) ).
tcf(c_93895,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4582,c_93859]) ).
tcf(c_93896,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4580,c_93859]) ).
tcf(c_93898,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_93859,c_15772]) ).
tcf(c_93899,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_93859,c_15741]) ).
tcf(c_93900,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_93859,c_115]) ).
tcf(c_93901,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_93859,c_15772]) ).
tcf(c_93902,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_93859,c_15772]) ).
tcf(c_93903,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_93859,c_747]) ).
tcf(c_93904,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_93859,c_6807]) ).
tcf(c_93905,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_93859,c_47380]) ).
tcf(c_93907,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_93859,c_47380]) ).
tcf(c_94394,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,identity) = multiply(iPr_def_22,sk_c2) ) ),
inference(superposition,[status(thm)],[c_1358,c_8719]) ).
tcf(c_94395,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68696,c_8719]) ).
tcf(c_94396,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68577,c_8719]) ).
tcf(c_94397,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_66379,c_8719]) ).
tcf(c_94398,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_66143,c_8719]) ).
tcf(c_94399,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65309,c_8719]) ).
tcf(c_94400,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65135,c_8719]) ).
tcf(c_94401,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_22,multiply(sk_c2,X0)) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_3904,c_8719]) ).
tcf(c_94402,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,sk_c11) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_6804,c_8719]) ).
tcf(c_94403,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(sk_c11,X0)) = multiply(iPr_def_22,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_6807,c_8719]) ).
tcf(c_94404,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_26) = multiply(iPr_def_22,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8719]) ).
tcf(c_94406,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69341,c_8719]) ).
tcf(c_94407,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69340,c_8719]) ).
tcf(c_94408,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69339,c_8719]) ).
tcf(c_94409,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69338,c_8719]) ).
tcf(c_94411,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69150,c_8719]) ).
tcf(c_94412,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69149,c_8719]) ).
tcf(c_94413,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69148,c_8719]) ).
tcf(c_94414,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69147,c_8719]) ).
tcf(c_94416,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68433,c_8719]) ).
tcf(c_94417,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68432,c_8719]) ).
tcf(c_94418,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68431,c_8719]) ).
tcf(c_94419,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68430,c_8719]) ).
tcf(c_94421,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65610,c_8719]) ).
tcf(c_94422,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65609,c_8719]) ).
tcf(c_94423,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65608,c_8719]) ).
tcf(c_94424,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_27) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65607,c_8719]) ).
tcf(c_94430,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38350,c_8719]) ).
tcf(c_94431,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38348,c_8719]) ).
tcf(c_94432,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38295,c_8719]) ).
tcf(c_94433,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38294,c_8719]) ).
tcf(c_94434,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38065,c_8719]) ).
tcf(c_94435,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38063,c_8719]) ).
tcf(c_94436,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38006,c_8719]) ).
tcf(c_94437,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_38004,c_8719]) ).
tcf(c_94438,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37930,c_8719]) ).
tcf(c_94439,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37929,c_8719]) ).
tcf(c_94440,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37778,c_8719]) ).
tcf(c_94441,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37776,c_8719]) ).
tcf(c_94442,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37403,c_8719]) ).
tcf(c_94443,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_37402,c_8719]) ).
tcf(c_94444,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_31585,c_8719]) ).
tcf(c_94445,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_31584,c_8719]) ).
tcf(c_94446,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_31300,c_8719]) ).
tcf(c_94447,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_31299,c_8719]) ).
tcf(c_94448,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(sk_c5,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8719,c_15772]) ).
tcf(c_94449,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c5),multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8719,c_15741]) ).
tcf(c_94450,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c5,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(iPr_def_22,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8719,c_115]) ).
tcf(c_94451,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_22,X1))) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_8719,c_15772]) ).
tcf(c_94452,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,iPr_def_26)),multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8719,c_15772]) ).
tcf(c_94453,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8719,c_3909]) ).
tcf(c_94456,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_27) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_94402,c_18696]) ).
tcf(c_94479,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_22,multiply(iPr_def_27,X0)) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_94403,c_3880]) ).
tcf(c_94752,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,identity) = multiply(iPr_def_18,sk_c2) ) ),
inference(superposition,[status(thm)],[c_1358,c_8821]) ).
tcf(c_94753,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68696,c_8821]) ).
tcf(c_94754,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_68577,c_8821]) ).
tcf(c_94755,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_66379,c_8821]) ).
tcf(c_94756,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_66143,c_8821]) ).
tcf(c_94757,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65309,c_8821]) ).
tcf(c_94758,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,sk_c11) ) ),
inference(superposition,[status(thm)],[c_65135,c_8821]) ).
tcf(c_94759,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_18,multiply(sk_c2,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_3904,c_8821]) ).
tcf(c_94760,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_18,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_6804,c_8821]) ).
tcf(c_94761,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(sk_c11,X0)) = multiply(iPr_def_18,multiply(iPr_def_27,X0)) ) ),
inference(superposition,[status(thm)],[c_6807,c_8821]) ).
tcf(c_94762,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_26) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_16791,c_8821]) ).
tcf(c_94764,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69341,c_8821]) ).
tcf(c_94765,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69340,c_8821]) ).
tcf(c_94766,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69339,c_8821]) ).
tcf(c_94767,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69338,c_8821]) ).
tcf(c_94769,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69150,c_8821]) ).
tcf(c_94770,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69149,c_8821]) ).
tcf(c_94771,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69148,c_8821]) ).
tcf(c_94772,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_69147,c_8821]) ).
tcf(c_94774,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68433,c_8821]) ).
tcf(c_94775,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68432,c_8821]) ).
tcf(c_94776,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68431,c_8821]) ).
tcf(c_94777,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_68430,c_8821]) ).
tcf(c_94779,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65610,c_8821]) ).
tcf(c_94780,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65609,c_8821]) ).
tcf(c_94781,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65608,c_8821]) ).
tcf(c_94782,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_27) = multiply(iPr_def_18,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_65607,c_8821]) ).
tcf(c_94788,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38350,c_8821]) ).
tcf(c_94789,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38348,c_8821]) ).
tcf(c_94790,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38295,c_8821]) ).
tcf(c_94791,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38294,c_8821]) ).
tcf(c_94792,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38065,c_8821]) ).
tcf(c_94793,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38063,c_8821]) ).
tcf(c_94794,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38006,c_8821]) ).
tcf(c_94795,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_38004,c_8821]) ).
tcf(c_94796,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37930,c_8821]) ).
tcf(c_94797,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37929,c_8821]) ).
tcf(c_94798,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37778,c_8821]) ).
tcf(c_94799,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37776,c_8821]) ).
tcf(c_94800,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37403,c_8821]) ).
tcf(c_94801,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_37402,c_8821]) ).
tcf(c_94802,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31585,c_8821]) ).
tcf(c_94803,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31584,c_8821]) ).
tcf(c_94804,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_25,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31300,c_8821]) ).
tcf(c_94805,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31299,c_8821]) ).
tcf(c_94806,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_18,X0)),multiply(sk_c9,multiply(multiply(iPr_def_26,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_8821,c_15772]) ).
tcf(c_94807,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_18,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_8821,c_15741]) ).
tcf(c_94808,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c9,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(iPr_def_18,X0),X1) ) ),
inference(superposition,[status(thm)],[c_8821,c_115]) ).
tcf(c_94809,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,multiply(iPr_def_18,X1))) = multiply(iPr_def_26,X1) ) ),
inference(superposition,[status(thm)],[c_8821,c_15772]) ).
tcf(c_94810,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,iPr_def_26)),multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8821,c_15772]) ).
tcf(c_94811,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_14,multiply(iPr_def_26,X0)) ) ),
inference(superposition,[status(thm)],[c_8821,c_3883]) ).
tcf(c_94812,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(iPr_def_20,multiply(iPr_def_26,X0)) ) ),
inference(superposition,[status(thm)],[c_8821,c_3881]) ).
tcf(c_94815,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_94760,c_734]) ).
tcf(c_94825,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,multiply(iPr_def_26,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_94812,c_11812]) ).
tcf(c_94828,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(sk_c11,X0)) = multiply(iPr_def_14,multiply(iPr_def_26,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_94811,c_12310]) ).
tcf(c_94843,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_18,multiply(iPr_def_27,X0)) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_94761,c_3882]) ).
tcf(c_95337,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_8847,c_26329]) ).
tcf(c_95348,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36987,c_95337]) ).
tcf(c_95349,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36615,c_95337]) ).
tcf(c_95350,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36189,c_95337]) ).
tcf(c_95351,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33729,c_95337]) ).
tcf(c_95352,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33500,c_95337]) ).
tcf(c_95353,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33134,c_95337]) ).
tcf(c_95354,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32872,c_95337]) ).
tcf(c_95355,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28976,c_95337]) ).
tcf(c_95356,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28636,c_95337]) ).
tcf(c_95357,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20925,c_95337]) ).
tcf(c_95358,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20921,c_95337]) ).
tcf(c_95359,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20856,c_95337]) ).
tcf(c_95360,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20852,c_95337]) ).
tcf(c_95361,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18644,c_95337]) ).
tcf(c_95362,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18620,c_95337]) ).
tcf(c_95363,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5784,c_95337]) ).
tcf(c_95364,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5665,c_95337]) ).
tcf(c_95365,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5604,c_95337]) ).
tcf(c_95366,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5602,c_95337]) ).
tcf(c_95367,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5511,c_95337]) ).
tcf(c_95368,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5509,c_95337]) ).
tcf(c_95369,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4861,c_95337]) ).
tcf(c_95370,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4802,c_95337]) ).
tcf(c_95371,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4769,c_95337]) ).
tcf(c_95372,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4767,c_95337]) ).
tcf(c_95373,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4582,c_95337]) ).
tcf(c_95374,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4580,c_95337]) ).
tcf(c_95376,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_27,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_95337,c_15772]) ).
tcf(c_95377,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_95337,c_15741]) ).
tcf(c_95378,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_95337,c_115]) ).
tcf(c_95379,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_95337,c_15772]) ).
tcf(c_95380,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_27,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_95337,c_15772]) ).
tcf(c_95381,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_27) )
| ( inverse(inverse(iPr_def_27)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_95337,c_747]) ).
tcf(c_95382,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_95337,c_6807]) ).
tcf(c_95383,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),iPr_def_18) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_95337,c_47380]) ).
tcf(c_95385,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_27,iPr_def_18)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_95337,c_47380]) ).
tcf(c_95648,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c12 )
| ( multiply(inverse(iPr_def_15),sk_c11) != sk_c12 ) ),
inference(superposition,[status(thm)],[c_45478,c_747]) ).
tcf(c_95667,plain,
multiply(inverse(identity),inverse(sk_c4)) = iPr_def_23,
inference(superposition,[status(thm)],[c_114,c_47770]) ).
tcf(c_95668,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c4))),multiply(X0,X1)) = iPr_def_23,
inference(superposition,[status(thm)],[c_115,c_47770]) ).
tcf(c_95669,plain,
multiply(inverse(identity),iPr_def_23) = iPr_def_23,
inference(superposition,[status(thm)],[c_1352,c_47770]) ).
tcf(c_95670,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26217,c_47770]) ).
tcf(c_95671,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26153,c_47770]) ).
tcf(c_95672,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26096,c_47770]) ).
tcf(c_95673,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25674,c_47770]) ).
tcf(c_95674,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24267,c_47770]) ).
tcf(c_95675,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24189,c_47770]) ).
tcf(c_95676,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24132,c_47770]) ).
tcf(c_95677,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24075,c_47770]) ).
tcf(c_95678,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23853,c_47770]) ).
tcf(c_95679,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_31769,c_47770]) ).
tcf(c_95684,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_32025,c_47770]) ).
tcf(c_95685,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18684,c_47770]) ).
tcf(c_95686,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18649,c_47770]) ).
tcf(c_95687,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18624,c_47770]) ).
tcf(c_95688,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18596,c_47770]) ).
tcf(c_95689,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91878,c_47770]) ).
tcf(c_95690,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c4),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87051,c_47770]) ).
tcf(c_95691,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_85601,c_47770]) ).
tcf(c_95692,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28511,c_47770]) ).
tcf(c_95693,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20930,c_47770]) ).
tcf(c_95694,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20895,c_47770]) ).
tcf(c_95695,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20860,c_47770]) ).
tcf(c_95696,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20819,c_47770]) ).
tcf(c_95697,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_95337,c_47770]) ).
tcf(c_95698,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93859,c_47770]) ).
tcf(c_95699,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90219,c_47770]) ).
tcf(c_95700,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30868,c_47770]) ).
tcf(c_95701,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30745,c_47770]) ).
tcf(c_95702,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30604,c_47770]) ).
tcf(c_95703,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30451,c_47770]) ).
tcf(c_95704,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29976,c_47770]) ).
tcf(c_95705,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29360,c_47770]) ).
tcf(c_95706,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27039,c_47770]) ).
tcf(c_95707,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26906,c_47770]) ).
tcf(c_95708,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26808,c_47770]) ).
tcf(c_95710,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_23 )
| ( inverse(inverse(multiply(sk_c12,sk_c4))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_47770,c_749]) ).
tcf(c_95711,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_23),multiply(inverse(multiply(X0,sk_c4)),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_47770,c_15772]) ).
tcf(c_95712,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c4))),iPr_def_23) = X0,
inference(superposition,[status(thm)],[c_47770,c_15741]) ).
tcf(c_95714,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c4)))),multiply(X0,iPr_def_23)) = X1,
inference(superposition,[status(thm)],[c_47770,c_15772]) ).
tcf(c_95715,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(multiply(X0,X1),sk_c4)),X0)),iPr_def_23) = X1,
inference(superposition,[status(thm)],[c_47770,c_15772]) ).
tcf(c_95716,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 )
| ( inverse(inverse(multiply(inverse(X0),sk_c4))) != iPr_def_23 )
| ( inverse(inverse(inverse(multiply(inverse(X0),sk_c4)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_47770,c_747]) ).
tcf(c_95717,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_18,sk_c4)),sk_c9)),iPr_def_23) = sk_c11,
inference(superposition,[status(thm)],[c_47770,c_47380]) ).
tcf(c_95718,plain,
inverse(multiply(identity,sk_c4)) = iPr_def_23,
inference(superposition,[status(thm)],[c_47770,c_16791]) ).
tcf(c_95719,plain,
multiply(inverse(iPr_def_23),inverse(multiply(sk_c4,sk_c4))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47770,c_47770]) ).
tcf(c_95720,plain,
multiply(inverse(iPr_def_23),multiply(inverse(multiply(sk_c9,sk_c4)),iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_47770,c_47380]) ).
tcf(c_95721,plain,
multiply(identity,iPr_def_23) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_95669,c_16822]) ).
tcf(c_95723,plain,
multiply(sk_c4,inverse(multiply(sk_c4,sk_c4))) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_95719,c_18258]) ).
tcf(c_95724,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95708,c_739]) ).
tcf(c_95727,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95707,c_739]) ).
tcf(c_95730,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95706,c_739]) ).
tcf(c_95733,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95705,c_739]) ).
tcf(c_95736,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95704,c_739]) ).
tcf(c_95739,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95703,c_739]) ).
tcf(c_95742,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95702,c_739]) ).
tcf(c_95745,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95701,c_739]) ).
tcf(c_95748,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95700,c_739]) ).
tcf(c_95751,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95699,c_739]) ).
tcf(c_95754,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95698,c_739]) ).
tcf(c_95757,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_27) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95697,c_739]) ).
tcf(c_95760,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95696,c_739]) ).
tcf(c_95763,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95695,c_739]) ).
tcf(c_95766,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95694,c_739]) ).
tcf(c_95769,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95693,c_739]) ).
tcf(c_95772,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95692,c_739]) ).
tcf(c_95775,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95691,c_739]) ).
tcf(c_95778,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95690,c_739]) ).
tcf(c_95781,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95689,c_739]) ).
tcf(c_95784,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95688,c_739]) ).
tcf(c_95787,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95687,c_739]) ).
tcf(c_95790,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95686,c_739]) ).
tcf(c_95793,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95685,c_739]) ).
tcf(c_95796,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95684,c_739]) ).
tcf(c_95799,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c12 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95679,c_739,c_7201]) ).
tcf(c_95802,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95678,c_739]) ).
tcf(c_95805,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95677,c_739]) ).
tcf(c_95808,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95676,c_739]) ).
tcf(c_95811,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95675,c_739]) ).
tcf(c_95814,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95674,c_739]) ).
tcf(c_95817,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95673,c_739]) ).
tcf(c_95820,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95672,c_739]) ).
tcf(c_95823,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95671,c_739]) ).
tcf(c_95826,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_95670,c_739]) ).
tcf(c_95829,plain,
multiply(sk_c4,multiply(inverse(multiply(sk_c9,sk_c4)),iPr_def_18)) = sk_c11,
inference(light_normalisation,[status(thm)],[c_95720,c_18258]) ).
tcf(c_96049,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95799,c_93127]) ).
tcf(c_96050,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95799,c_92929]) ).
tcf(c_96051,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95799,c_92719]) ).
tcf(c_96052,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95799,c_92482]) ).
tcf(c_96071,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95799,c_3247]) ).
tcf(c_96075,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95799,c_19298]) ).
tcf(c_96076,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_95799,c_18522]) ).
tcf(c_96081,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_95799,c_3885]) ).
tcf(c_96082,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_95799,c_3879]) ).
tcf(c_96083,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_95799,c_3878]) ).
tcf(c_96086,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95799,c_2564]) ).
tcf(c_96087,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_95799,c_2335]) ).
tcf(c_96088,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_95799,c_2296]) ).
tcf(c_96095,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95799,c_749]) ).
tcf(c_96096,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_95799,c_801]) ).
tcf(c_96097,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_95799,c_798]) ).
tcf(c_96098,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_95799,c_796]) ).
tcf(c_96099,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_95799,c_745]) ).
tcf(c_96100,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95799,c_740]) ).
tcf(c_96101,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_95799,c_731]) ).
tcf(c_96136,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_23 )
| ( sk_c10 != identity ) ),
inference(light_normalisation,[status(thm)],[c_96071,c_739,c_18258]) ).
tcf(c_96216,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96097,c_95799]) ).
tcf(c_96217,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96097,c_93127]) ).
tcf(c_96218,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96097,c_92929]) ).
tcf(c_96219,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96097,c_92719]) ).
tcf(c_96220,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96097,c_92482]) ).
tcf(c_96221,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96097,c_89445]) ).
tcf(c_96222,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96097,c_89327]) ).
tcf(c_96223,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96097,c_87721]) ).
tcf(c_96224,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96097,c_86109]) ).
tcf(c_96225,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96097,c_84639]) ).
tcf(c_96230,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96097,c_75132]) ).
tcf(c_96231,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96097,c_75014]) ).
tcf(c_96239,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_20)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96097,c_3247]) ).
tcf(c_96243,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_96097,c_19298]) ).
tcf(c_96244,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_96097,c_18522]) ).
tcf(c_96249,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_96097,c_3885]) ).
tcf(c_96250,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_96097,c_3879]) ).
tcf(c_96251,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_96097,c_3878]) ).
tcf(c_96252,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96097,c_3131]) ).
tcf(c_96253,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_96097,c_2719]) ).
tcf(c_96255,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_96097,c_2335]) ).
tcf(c_96256,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_96097,c_2296]) ).
tcf(c_96258,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96097,c_2124]) ).
tcf(c_96260,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_96097,c_1826]) ).
tcf(c_96263,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96097,c_749]) ).
tcf(c_96264,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96097,c_801]) ).
tcf(c_96265,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_96097,c_798]) ).
tcf(c_96266,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_96097,c_796]) ).
tcf(c_96267,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_96097,c_745]) ).
tcf(c_96268,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96097,c_740]) ).
tcf(c_96269,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96097,c_731]) ).
tcf(c_96476,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_96098,c_96097]) ).
tcf(c_96477,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96098,c_95799]) ).
tcf(c_96478,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c7,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96098,c_93127]) ).
tcf(c_96479,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96098,c_92929]) ).
tcf(c_96480,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(sk_c6,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96098,c_92719]) ).
tcf(c_96481,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( multiply(sk_c5,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96098,c_92482]) ).
tcf(c_96482,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96098,c_89445]) ).
tcf(c_96483,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96098,c_89327]) ).
tcf(c_96484,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96098,c_87721]) ).
tcf(c_96500,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_18)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96098,c_3247]) ).
tcf(c_96504,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_96098,c_19298]) ).
tcf(c_96505,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_96098,c_18522]) ).
tcf(c_96510,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_96098,c_3885]) ).
tcf(c_96511,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_18,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_96098,c_3879]) ).
tcf(c_96512,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_18,X0)) = multiply(iPr_def_29,X0) ) ),
inference(superposition,[status(thm)],[c_96098,c_3878]) ).
tcf(c_96513,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96098,c_3131]) ).
tcf(c_96516,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_96098,c_2335]) ).
tcf(c_96517,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_96098,c_2296]) ).
tcf(c_96519,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96098,c_2124]) ).
tcf(c_96524,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96098,c_749]) ).
tcf(c_96525,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_28 )
| ( sk_c12 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96098,c_801]) ).
tcf(c_96526,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_28 )
| ( sk_c12 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_96098,c_798]) ).
tcf(c_96527,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_28 )
| ( sk_c12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_96098,c_796]) ).
tcf(c_96528,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_96098,c_745]) ).
tcf(c_96529,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_96098,c_740]) ).
tcf(c_96530,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_96098,c_731]) ).
tcf(c_96613,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_96480,c_11706]) ).
tcf(c_96619,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_96479,c_12297]) ).
tcf(c_96762,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_15 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_19301,c_25419]) ).
tcf(c_96794,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_810,c_25419]) ).
tcf(c_96795,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_800,c_25419]) ).
tcf(c_96798,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_790,c_25419]) ).
tcf(c_96802,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_780,c_25419]) ).
tcf(c_96805,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( identity != iPr_def_25 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_770,c_25419]) ).
tcf(c_96811,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_760,c_25419]) ).
tcf(c_96895,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( identity != iPr_def_27 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_790,c_25425]) ).
tcf(c_96902,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( identity != iPr_def_25 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_770,c_25425]) ).
tcf(c_96908,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_760,c_25425]) ).
tcf(c_96926,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,sk_c12) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_26324,c_742,c_27193]) ).
tcf(c_96945,plain,
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_86071,c_96926]) ).
tcf(c_96946,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_84602,c_96926]) ).
tcf(c_96947,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_84068,c_96926]) ).
tcf(c_96948,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_82584,c_96926]) ).
tcf(c_96949,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_81251,c_96926]) ).
tcf(c_96950,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_25,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_77188,c_96926]) ).
tcf(c_96951,plain,
( ( iPr_def_18 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_68648,c_96926]) ).
tcf(c_96952,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_68528,c_96926]) ).
tcf(c_96953,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_66289,c_96926]) ).
tcf(c_96954,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_65403,c_96926]) ).
tcf(c_96955,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_65236,c_96926]) ).
tcf(c_96956,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(iPr_def_26,sk_c12) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_62667,c_96926]) ).
tcf(c_96957,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96098,c_96926]) ).
tcf(c_96958,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_96097,c_96926]) ).
tcf(c_96959,plain,
( ( iPr_def_27 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_95799,c_96926]) ).
tcf(c_96960,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26346,c_96926]) ).
tcf(c_96961,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26345,c_96926]) ).
tcf(c_96962,plain,
( ( identity = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26343,c_96926]) ).
tcf(c_96963,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23713,c_96926]) ).
tcf(c_96964,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23712,c_96926]) ).
tcf(c_96965,plain,
( ( identity = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_23711,c_96926]) ).
tcf(c_96966,plain,
( ( identity = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_19298,c_96926]) ).
tcf(c_96967,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_18522,c_96926]) ).
tcf(c_96971,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3131,c_96926]) ).
tcf(c_96972,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2819,c_96926]) ).
tcf(c_96973,plain,
( ( iPr_def_26 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2719,c_96926]) ).
tcf(c_96974,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2564,c_96926]) ).
tcf(c_96975,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2335,c_96926]) ).
tcf(c_96976,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2296,c_96926]) ).
tcf(c_96977,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2130,c_96926]) ).
tcf(c_96978,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2124,c_96926]) ).
tcf(c_96979,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1941,c_96926]) ).
tcf(c_96980,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1935,c_96926]) ).
tcf(c_96981,plain,
( ( iPr_def_15 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1832,c_96926]) ).
tcf(c_96982,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1826,c_96926]) ).
tcf(c_96983,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1459,c_96926]) ).
tcf(c_96984,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1374,c_96926]) ).
tcf(c_96985,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( multiply(sk_c2,iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1297,c_96926]) ).
tcf(c_97527,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7907,c_15772]) ).
tcf(c_97528,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7907,c_15741]) ).
tcf(c_97530,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7907,c_15772]) ).
tcf(c_97532,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7907,c_8148]) ).
tcf(c_97533,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_7907,c_8136]) ).
tcf(c_97536,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7907,c_23181]) ).
tcf(c_97538,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7907,c_23177]) ).
tcf(c_97539,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7907,c_23175]) ).
tcf(c_97541,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7907,c_23171]) ).
tcf(c_97542,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7907,c_22996]) ).
tcf(c_97551,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_97533,c_11706]) ).
tcf(c_97573,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(light_normalisation,[status(thm)],[c_97532,c_11706]) ).
tcf(c_97584,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_29),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_96099,c_15772]) ).
tcf(c_97585,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96099,c_15741]) ).
tcf(c_97587,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96099,c_15772]) ).
tcf(c_97588,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_28,iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96099,c_3905]) ).
tcf(c_97620,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_96101,c_15772]) ).
tcf(c_97621,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96101,c_15741]) ).
tcf(c_97623,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_15)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96101,c_15772]) ).
tcf(c_97624,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96101,c_3903]) ).
tcf(c_97633,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(identity,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_113,c_95668]) ).
tcf(c_97634,plain,
! [X0: $i] : multiply(inverse(identity),multiply(inverse(multiply(X0,sk_c4)),X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_114,c_95668]) ).
tcf(c_97635,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,multiply(X1,multiply(X2,sk_c4)))),multiply(multiply(X0,X1),X2)) = iPr_def_23,
inference(superposition,[status(thm)],[c_115,c_95668]) ).
tcf(c_97636,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_29,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26217,c_95668]) ).
tcf(c_97637,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_29,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26153,c_95668]) ).
tcf(c_97638,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_29,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26096,c_95668]) ).
tcf(c_97639,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_29,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25674,c_95668]) ).
tcf(c_97640,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_29,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24267,c_95668]) ).
tcf(c_97641,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_29,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24189,c_95668]) ).
tcf(c_97642,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_29,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24132,c_95668]) ).
tcf(c_97643,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_29,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24075,c_95668]) ).
tcf(c_97644,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_29,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23853,c_95668]) ).
tcf(c_97645,plain,
multiply(inverse(multiply(iPr_def_29,sk_c4)),multiply(sk_c1,sk_c12)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3878,c_95668]) ).
tcf(c_97646,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_24,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_31769,c_95668]) ).
tcf(c_97647,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_24,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18422,c_95668]) ).
tcf(c_97648,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_24,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18407,c_95668]) ).
tcf(c_97649,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_24,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18382,c_95668]) ).
tcf(c_97650,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_24,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18367,c_95668]) ).
tcf(c_97651,plain,
multiply(inverse(multiply(iPr_def_24,sk_c4)),multiply(sk_c4,sk_c12)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3879,c_95668]) ).
tcf(c_97652,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_22,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_32025,c_95668]) ).
tcf(c_97653,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_22,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18684,c_95668]) ).
tcf(c_97654,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_22,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18649,c_95668]) ).
tcf(c_97655,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_22,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18624,c_95668]) ).
tcf(c_97656,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_22,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18596,c_95668]) ).
tcf(c_97657,plain,
multiply(inverse(multiply(iPr_def_22,sk_c4)),multiply(sk_c5,sk_c11)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3880,c_95668]) ).
tcf(c_97658,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91878,c_95668]) ).
tcf(c_97659,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87051,c_95668]) ).
tcf(c_97660,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_85601,c_95668]) ).
tcf(c_97661,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28511,c_95668]) ).
tcf(c_97662,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20930,c_95668]) ).
tcf(c_97663,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20895,c_95668]) ).
tcf(c_97664,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20860,c_95668]) ).
tcf(c_97665,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20819,c_95668]) ).
tcf(c_97666,plain,
multiply(inverse(multiply(iPr_def_20,sk_c4)),multiply(sk_c6,sk_c9)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3881,c_95668]) ).
tcf(c_97667,plain,
multiply(inverse(multiply(iPr_def_18,sk_c4)),multiply(sk_c9,sk_c11)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3882,c_95668]) ).
tcf(c_97668,plain,
multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(sk_c8,sk_c9)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3883,c_95668]) ).
tcf(c_97669,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_95337,c_95668]) ).
tcf(c_97670,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93859,c_95668]) ).
tcf(c_97671,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90219,c_95668]) ).
tcf(c_97672,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30868,c_95668]) ).
tcf(c_97673,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30745,c_95668]) ).
tcf(c_97674,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30604,c_95668]) ).
tcf(c_97675,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30451,c_95668]) ).
tcf(c_97676,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29976,c_95668]) ).
tcf(c_97677,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29360,c_95668]) ).
tcf(c_97678,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27039,c_95668]) ).
tcf(c_97679,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26906,c_95668]) ).
tcf(c_97680,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(iPr_def_27,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26808,c_95668]) ).
tcf(c_97681,plain,
multiply(inverse(multiply(iPr_def_27,sk_c4)),multiply(sk_c2,sk_c11)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3884,c_95668]) ).
tcf(c_97682,plain,
multiply(inverse(multiply(iPr_def_15,sk_c4)),multiply(sk_c3,sk_c12)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3885,c_95668]) ).
tcf(c_97683,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(inverse(X0),X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_15741,c_95668]) ).
tcf(c_97684,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(sk_c8,iPr_def_19)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8697,c_95668]) ).
tcf(c_97685,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(sk_c8,iPr_def_19)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7261,c_95668]) ).
tcf(c_97686,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(sk_c8,iPr_def_19)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3889,c_95668]) ).
tcf(c_97687,plain,
multiply(inverse(sk_c4),multiply(iPr_def_23,sk_c4)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3910,c_95668]) ).
tcf(c_97688,plain,
multiply(inverse(sk_c4),multiply(iPr_def_21,sk_c5)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3909,c_95668]) ).
tcf(c_97689,plain,
multiply(inverse(sk_c4),multiply(iPr_def_19,sk_c6)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3908,c_95668]) ).
tcf(c_97690,plain,
multiply(inverse(sk_c4),multiply(iPr_def_17,sk_c8)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3907,c_95668]) ).
tcf(c_97691,plain,
multiply(inverse(sk_c4),multiply(iPr_def_16,sk_c7)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3906,c_95668]) ).
tcf(c_97692,plain,
multiply(inverse(sk_c4),multiply(iPr_def_28,sk_c1)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3905,c_95668]) ).
tcf(c_97693,plain,
multiply(inverse(sk_c4),multiply(iPr_def_26,sk_c2)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3904,c_95668]) ).
tcf(c_97694,plain,
multiply(inverse(sk_c4),multiply(iPr_def_25,sk_c3)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3903,c_95668]) ).
tcf(c_97695,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(sk_c8,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8310,c_95668]) ).
tcf(c_97696,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(sk_c8,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7249,c_95668]) ).
tcf(c_97697,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(sk_c8,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4936,c_95668]) ).
tcf(c_97698,plain,
multiply(inverse(multiply(sk_c12,sk_c4)),multiply(iPr_def_25,iPr_def_15)) = iPr_def_23,
inference(superposition,[status(thm)],[c_6802,c_95668]) ).
tcf(c_97699,plain,
multiply(inverse(multiply(sk_c11,sk_c4)),multiply(iPr_def_26,iPr_def_27)) = iPr_def_23,
inference(superposition,[status(thm)],[c_6807,c_95668]) ).
tcf(c_97700,plain,
multiply(inverse(multiply(sk_c12,sk_c4)),multiply(iPr_def_28,iPr_def_29)) = iPr_def_23,
inference(superposition,[status(thm)],[c_6812,c_95668]) ).
tcf(c_97701,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6824,c_95668]) ).
tcf(c_97702,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6822,c_95668]) ).
tcf(c_97703,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6820,c_95668]) ).
tcf(c_97704,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6818,c_95668]) ).
tcf(c_97705,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6816,c_95668]) ).
tcf(c_97706,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6814,c_95668]) ).
tcf(c_97707,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6825,c_95668]) ).
tcf(c_97708,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6823,c_95668]) ).
tcf(c_97709,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6821,c_95668]) ).
tcf(c_97710,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6819,c_95668]) ).
tcf(c_97711,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6817,c_95668]) ).
tcf(c_97712,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6815,c_95668]) ).
tcf(c_97713,plain,
multiply(inverse(multiply(sk_c9,sk_c4)),multiply(iPr_def_17,iPr_def_14)) = iPr_def_23,
inference(superposition,[status(thm)],[c_7189,c_95668]) ).
tcf(c_97714,plain,
multiply(inverse(multiply(sk_c9,sk_c4)),multiply(iPr_def_19,iPr_def_20)) = iPr_def_23,
inference(superposition,[status(thm)],[c_7194,c_95668]) ).
tcf(c_97715,plain,
multiply(inverse(multiply(sk_c11,sk_c4)),multiply(iPr_def_21,iPr_def_22)) = iPr_def_23,
inference(superposition,[status(thm)],[c_7199,c_95668]) ).
tcf(c_97716,plain,
multiply(inverse(multiply(sk_c12,sk_c4)),multiply(iPr_def_23,iPr_def_24)) = iPr_def_23,
inference(superposition,[status(thm)],[c_7204,c_95668]) ).
tcf(c_97717,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c4)),multiply(iPr_def_19,sk_c11)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8548,c_95668]) ).
tcf(c_97718,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c4)),multiply(iPr_def_19,sk_c11)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7631,c_95668]) ).
tcf(c_97719,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c4)),multiply(iPr_def_19,sk_c11)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7297,c_95668]) ).
tcf(c_97720,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c4)),multiply(iPr_def_16,sk_c11)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8184,c_95668]) ).
tcf(c_97721,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c4)),multiply(iPr_def_16,sk_c11)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7926,c_95668]) ).
tcf(c_97722,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c4)),multiply(iPr_def_16,sk_c11)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7478,c_95668]) ).
tcf(c_97723,plain,
multiply(inverse(sk_c4),multiply(sk_c6,iPr_def_19)) = iPr_def_23,
inference(superposition,[status(thm)],[c_19287,c_95668]) ).
tcf(c_97724,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c4)),multiply(sk_c6,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8148,c_95668]) ).
tcf(c_97725,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c4)),multiply(sk_c6,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8136,c_95668]) ).
tcf(c_97726,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c4)),multiply(sk_c6,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8009,c_95668]) ).
tcf(c_97727,plain,
multiply(inverse(sk_c4),multiply(sk_c2,iPr_def_26)) = iPr_def_23,
inference(superposition,[status(thm)],[c_26329,c_95668]) ).
tcf(c_97728,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c4)),multiply(sk_c5,iPr_def_26)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8719,c_95668]) ).
tcf(c_97729,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c4)),multiply(sk_c5,iPr_def_26)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8332,c_95668]) ).
tcf(c_97730,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c4)),multiply(sk_c9,iPr_def_26)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8821,c_95668]) ).
tcf(c_97731,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c4)),multiply(sk_c9,iPr_def_26)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8354,c_95668]) ).
tcf(c_97732,plain,
multiply(inverse(sk_c4),multiply(sk_c1,iPr_def_28)) = iPr_def_23,
inference(superposition,[status(thm)],[c_23695,c_95668]) ).
tcf(c_97733,plain,
multiply(inverse(sk_c4),multiply(sk_c5,iPr_def_21)) = iPr_def_23,
inference(superposition,[status(thm)],[c_18508,c_95668]) ).
tcf(c_97734,plain,
multiply(inverse(sk_c4),multiply(sk_c4,iPr_def_23)) = iPr_def_23,
inference(superposition,[status(thm)],[c_18226,c_95668]) ).
tcf(c_97735,plain,
multiply(inverse(sk_c4),multiply(sk_c8,iPr_def_17)) = iPr_def_23,
inference(superposition,[status(thm)],[c_21650,c_95668]) ).
tcf(c_97736,plain,
multiply(inverse(sk_c4),multiply(sk_c7,iPr_def_16)) = iPr_def_23,
inference(superposition,[status(thm)],[c_22996,c_95668]) ).
tcf(c_97737,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23181,c_95668]) ).
tcf(c_97738,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23179,c_95668]) ).
tcf(c_97739,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23177,c_95668]) ).
tcf(c_97740,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23175,c_95668]) ).
tcf(c_97741,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23173,c_95668]) ).
tcf(c_97742,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23171,c_95668]) ).
tcf(c_97743,plain,
multiply(inverse(sk_c4),multiply(sk_c3,iPr_def_25)) = iPr_def_23,
inference(superposition,[status(thm)],[c_45277,c_95668]) ).
tcf(c_97744,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(inverse(multiply(multiply(X0,sk_c4),sk_c4)),X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_47770,c_95668]) ).
tcf(c_97747,plain,
! [X0: $i] : multiply(inverse(multiply(X0,identity)),multiply(X0,inverse(sk_c4))) = iPr_def_23,
inference(superposition,[status(thm)],[c_114,c_95668]) ).
tcf(c_97748,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,multiply(X1,multiply(X2,sk_c4)))),multiply(X0,multiply(X1,X2))) = iPr_def_23,
inference(superposition,[status(thm)],[c_115,c_95668]) ).
tcf(c_97749,plain,
! [X0: $i] : multiply(inverse(multiply(X0,identity)),multiply(X0,iPr_def_23)) = iPr_def_23,
inference(superposition,[status(thm)],[c_1352,c_95668]) ).
tcf(c_97750,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26217,c_95668]) ).
tcf(c_97751,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26153,c_95668]) ).
tcf(c_97752,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26096,c_95668]) ).
tcf(c_97753,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25674,c_95668]) ).
tcf(c_97754,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24267,c_95668]) ).
tcf(c_97755,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24189,c_95668]) ).
tcf(c_97756,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24132,c_95668]) ).
tcf(c_97757,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24075,c_95668]) ).
tcf(c_97758,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_29)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23853,c_95668]) ).
tcf(c_97759,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_31769,c_95668]) ).
tcf(c_97760,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18422,c_95668]) ).
tcf(c_97761,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18407,c_95668]) ).
tcf(c_97762,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18382,c_95668]) ).
tcf(c_97763,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18367,c_95668]) ).
tcf(c_97764,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_22)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_32025,c_95668]) ).
tcf(c_97765,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_22)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18684,c_95668]) ).
tcf(c_97766,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_22)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18649,c_95668]) ).
tcf(c_97767,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_22)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18624,c_95668]) ).
tcf(c_97768,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_22)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18596,c_95668]) ).
tcf(c_97769,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91878,c_95668]) ).
tcf(c_97770,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87051,c_95668]) ).
tcf(c_97771,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_85601,c_95668]) ).
tcf(c_97772,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28511,c_95668]) ).
tcf(c_97773,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20930,c_95668]) ).
tcf(c_97774,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20895,c_95668]) ).
tcf(c_97775,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20860,c_95668]) ).
tcf(c_97776,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20819,c_95668]) ).
tcf(c_97777,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_95337,c_95668]) ).
tcf(c_97778,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93859,c_95668]) ).
tcf(c_97779,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90219,c_95668]) ).
tcf(c_97780,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30868,c_95668]) ).
tcf(c_97781,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30745,c_95668]) ).
tcf(c_97782,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30604,c_95668]) ).
tcf(c_97783,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30451,c_95668]) ).
tcf(c_97784,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29976,c_95668]) ).
tcf(c_97785,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29360,c_95668]) ).
tcf(c_97786,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27039,c_95668]) ).
tcf(c_97787,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26906,c_95668]) ).
tcf(c_97788,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_27)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26808,c_95668]) ).
tcf(c_97789,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,inverse(multiply(sk_c4,sk_c4)))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47770,c_95668]) ).
tcf(c_97790,plain,
multiply(inverse(multiply(sk_c1,multiply(sk_c12,sk_c4))),iPr_def_29) = iPr_def_23,
inference(superposition,[status(thm)],[c_23752,c_95668]) ).
tcf(c_97792,plain,
multiply(inverse(multiply(sk_c4,multiply(sk_c12,sk_c4))),iPr_def_24) = iPr_def_23,
inference(superposition,[status(thm)],[c_18271,c_95668]) ).
tcf(c_97794,plain,
multiply(inverse(multiply(sk_c5,multiply(sk_c11,sk_c4))),iPr_def_22) = iPr_def_23,
inference(superposition,[status(thm)],[c_18696,c_95668]) ).
tcf(c_97796,plain,
multiply(inverse(multiply(sk_c6,multiply(sk_c9,sk_c4))),iPr_def_20) = iPr_def_23,
inference(superposition,[status(thm)],[c_20047,c_95668]) ).
tcf(c_97798,plain,
multiply(inverse(multiply(sk_c9,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23,
inference(superposition,[status(thm)],[c_734,c_95668]) ).
tcf(c_97799,plain,
multiply(inverse(multiply(sk_c8,multiply(sk_c9,sk_c4))),iPr_def_14) = iPr_def_23,
inference(superposition,[status(thm)],[c_21749,c_95668]) ).
tcf(c_97801,plain,
multiply(inverse(multiply(sk_c2,multiply(sk_c11,sk_c4))),iPr_def_27) = iPr_def_23,
inference(superposition,[status(thm)],[c_27206,c_95668]) ).
tcf(c_97803,plain,
multiply(inverse(multiply(sk_c3,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23,
inference(superposition,[status(thm)],[c_45517,c_95668]) ).
tcf(c_97805,plain,
! [X0: $i] : multiply(inverse(multiply(identity,multiply(X0,sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_113,c_95668]) ).
tcf(c_97806,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(X0),multiply(X0,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_114,c_95668]) ).
tcf(c_97807,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(multiply(X0,X1),multiply(X2,sk_c4))),multiply(X0,multiply(X1,X2))) = iPr_def_23,
inference(superposition,[status(thm)],[c_115,c_95668]) ).
tcf(c_97808,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2784,c_95668]) ).
tcf(c_97809,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2341,c_95668]) ).
tcf(c_97810,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1898,c_95668]) ).
tcf(c_97811,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1560,c_95668]) ).
tcf(c_97812,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1322,c_95668]) ).
tcf(c_97813,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1196,c_95668]) ).
tcf(c_97814,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2655,c_95668]) ).
tcf(c_97815,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2278,c_95668]) ).
tcf(c_97816,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1764,c_95668]) ).
tcf(c_97817,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1513,c_95668]) ).
tcf(c_97818,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1262,c_95668]) ).
tcf(c_97819,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c4))),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1197,c_95668]) ).
tcf(c_97820,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2782,c_95668]) ).
tcf(c_97821,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2339,c_95668]) ).
tcf(c_97822,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1896,c_95668]) ).
tcf(c_97823,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1558,c_95668]) ).
tcf(c_97824,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1330,c_95668]) ).
tcf(c_97825,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1328,c_95668]) ).
tcf(c_97826,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2653,c_95668]) ).
tcf(c_97827,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2276,c_95668]) ).
tcf(c_97828,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1762,c_95668]) ).
tcf(c_97829,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1511,c_95668]) ).
tcf(c_97830,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1331,c_95668]) ).
tcf(c_97831,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1329,c_95668]) ).
tcf(c_97832,plain,
multiply(inverse(multiply(sk_c6,multiply(iPr_def_19,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_19285,c_95668]) ).
tcf(c_97833,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c4))),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2652,c_95668]) ).
tcf(c_97834,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c4))),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2275,c_95668]) ).
tcf(c_97835,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c4))),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1761,c_95668]) ).
tcf(c_97836,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c4))),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1510,c_95668]) ).
tcf(c_97837,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c4))),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1343,c_95668]) ).
tcf(c_97838,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c4))),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1341,c_95668]) ).
tcf(c_97839,plain,
multiply(inverse(multiply(iPr_def_23,multiply(sk_c4,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_1352,c_95668]) ).
tcf(c_97840,plain,
multiply(inverse(multiply(iPr_def_21,multiply(sk_c5,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_1353,c_95668]) ).
tcf(c_97841,plain,
multiply(inverse(multiply(iPr_def_19,multiply(sk_c6,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_1354,c_95668]) ).
tcf(c_97842,plain,
multiply(inverse(multiply(iPr_def_17,multiply(sk_c8,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_1355,c_95668]) ).
tcf(c_97843,plain,
multiply(inverse(multiply(iPr_def_16,multiply(sk_c7,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_1356,c_95668]) ).
tcf(c_97844,plain,
multiply(inverse(multiply(iPr_def_28,multiply(sk_c1,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_1357,c_95668]) ).
tcf(c_97845,plain,
multiply(inverse(multiply(iPr_def_26,multiply(sk_c2,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_1358,c_95668]) ).
tcf(c_97846,plain,
multiply(inverse(multiply(iPr_def_25,multiply(sk_c3,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_1359,c_95668]) ).
tcf(c_97847,plain,
multiply(inverse(multiply(sk_c2,multiply(iPr_def_26,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_26327,c_95668]) ).
tcf(c_97848,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20205,c_95668]) ).
tcf(c_97849,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4482,c_95668]) ).
tcf(c_97850,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4420,c_95668]) ).
tcf(c_97851,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1717,c_95668]) ).
tcf(c_97852,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1704,c_95668]) ).
tcf(c_97853,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1595,c_95668]) ).
tcf(c_97854,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1582,c_95668]) ).
tcf(c_97855,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1541,c_95668]) ).
tcf(c_97856,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20206,c_95668]) ).
tcf(c_97857,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4483,c_95668]) ).
tcf(c_97858,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4421,c_95668]) ).
tcf(c_97859,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1718,c_95668]) ).
tcf(c_97860,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1705,c_95668]) ).
tcf(c_97861,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1596,c_95668]) ).
tcf(c_97862,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1583,c_95668]) ).
tcf(c_97863,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1542,c_95668]) ).
tcf(c_97864,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2615,c_95668]) ).
tcf(c_97865,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2230,c_95668]) ).
tcf(c_97866,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2228,c_95668]) ).
tcf(c_97867,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2226,c_95668]) ).
tcf(c_97868,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2224,c_95668]) ).
tcf(c_97869,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2222,c_95668]) ).
tcf(c_97870,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2689,c_95668]) ).
tcf(c_97871,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2295,c_95668]) ).
tcf(c_97872,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2229,c_95668]) ).
tcf(c_97873,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2227,c_95668]) ).
tcf(c_97874,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2225,c_95668]) ).
tcf(c_97875,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2223,c_95668]) ).
tcf(c_97876,plain,
multiply(inverse(multiply(sk_c1,multiply(iPr_def_28,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_23693,c_95668]) ).
tcf(c_97877,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19608,c_95668]) ).
tcf(c_97878,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18776,c_95668]) ).
tcf(c_97879,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6038,c_95668]) ).
tcf(c_97880,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5927,c_95668]) ).
tcf(c_97881,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5860,c_95668]) ).
tcf(c_97882,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2537,c_95668]) ).
tcf(c_97883,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2362,c_95668]) ).
tcf(c_97884,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2318,c_95668]) ).
tcf(c_97885,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19609,c_95668]) ).
tcf(c_97886,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18777,c_95668]) ).
tcf(c_97887,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6039,c_95668]) ).
tcf(c_97888,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5928,c_95668]) ).
tcf(c_97889,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5861,c_95668]) ).
tcf(c_97890,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2538,c_95668]) ).
tcf(c_97891,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2363,c_95668]) ).
tcf(c_97892,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2319,c_95668]) ).
tcf(c_97893,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28090,c_95668]) ).
tcf(c_97894,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6423,c_95668]) ).
tcf(c_97895,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5124,c_95668]) ).
tcf(c_97896,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4973,c_95668]) ).
tcf(c_97897,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4238,c_95668]) ).
tcf(c_97898,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2389,c_95668]) ).
tcf(c_97899,plain,
multiply(inverse(multiply(sk_c5,multiply(iPr_def_21,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_18506,c_95668]) ).
tcf(c_97900,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28092,c_95668]) ).
tcf(c_97901,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6425,c_95668]) ).
tcf(c_97902,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5126,c_95668]) ).
tcf(c_97903,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4975,c_95668]) ).
tcf(c_97904,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4240,c_95668]) ).
tcf(c_97905,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2391,c_95668]) ).
tcf(c_97906,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27339,c_95668]) ).
tcf(c_97907,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6741,c_95668]) ).
tcf(c_97908,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5801,c_95668]) ).
tcf(c_97909,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5681,c_95668]) ).
tcf(c_97910,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4373,c_95668]) ).
tcf(c_97911,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2570,c_95668]) ).
tcf(c_97912,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27340,c_95668]) ).
tcf(c_97913,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6742,c_95668]) ).
tcf(c_97914,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5802,c_95668]) ).
tcf(c_97915,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5682,c_95668]) ).
tcf(c_97916,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4374,c_95668]) ).
tcf(c_97917,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2571,c_95668]) ).
tcf(c_97918,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27341,c_95668]) ).
tcf(c_97919,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6743,c_95668]) ).
tcf(c_97920,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5803,c_95668]) ).
tcf(c_97921,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5683,c_95668]) ).
tcf(c_97922,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4375,c_95668]) ).
tcf(c_97923,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2572,c_95668]) ).
tcf(c_97924,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19439,c_95668]) ).
tcf(c_97925,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6264,c_95668]) ).
tcf(c_97926,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6115,c_95668]) ).
tcf(c_97927,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3182,c_95668]) ).
tcf(c_97928,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3135,c_95668]) ).
tcf(c_97929,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2918,c_95668]) ).
tcf(c_97930,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2821,c_95668]) ).
tcf(c_97931,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2720,c_95668]) ).
tcf(c_97932,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19440,c_95668]) ).
tcf(c_97933,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6265,c_95668]) ).
tcf(c_97934,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6116,c_95668]) ).
tcf(c_97935,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3183,c_95668]) ).
tcf(c_97936,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3136,c_95668]) ).
tcf(c_97937,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2919,c_95668]) ).
tcf(c_97938,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2822,c_95668]) ).
tcf(c_97939,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c4))),iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2721,c_95668]) ).
tcf(c_97940,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19441,c_95668]) ).
tcf(c_97941,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6266,c_95668]) ).
tcf(c_97942,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6117,c_95668]) ).
tcf(c_97943,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3184,c_95668]) ).
tcf(c_97944,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3137,c_95668]) ).
tcf(c_97945,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2920,c_95668]) ).
tcf(c_97946,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2823,c_95668]) ).
tcf(c_97947,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2722,c_95668]) ).
tcf(c_97948,plain,
multiply(inverse(multiply(sk_c3,multiply(iPr_def_25,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_45275,c_95668]) ).
tcf(c_97949,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_68696,c_95668]) ).
tcf(c_97950,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_68577,c_95668]) ).
tcf(c_97951,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66379,c_95668]) ).
tcf(c_97952,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66143,c_95668]) ).
tcf(c_97953,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_65309,c_95668]) ).
tcf(c_97954,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_65135,c_95668]) ).
tcf(c_97955,plain,
multiply(inverse(multiply(sk_c7,multiply(iPr_def_16,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_22994,c_95668]) ).
tcf(c_97956,plain,
multiply(inverse(multiply(sk_c8,multiply(iPr_def_17,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_21648,c_95668]) ).
tcf(c_97957,plain,
multiply(inverse(multiply(sk_c4,multiply(iPr_def_23,sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_18224,c_95668]) ).
tcf(c_97958,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26217,c_95668]) ).
tcf(c_97959,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26153,c_95668]) ).
tcf(c_97960,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26096,c_95668]) ).
tcf(c_97961,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25674,c_95668]) ).
tcf(c_97962,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24267,c_95668]) ).
tcf(c_97963,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24189,c_95668]) ).
tcf(c_97964,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24132,c_95668]) ).
tcf(c_97965,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24075,c_95668]) ).
tcf(c_97966,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23853,c_95668]) ).
tcf(c_97967,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,multiply(multiply(sk_c12,X0),sk_c4))),multiply(iPr_def_29,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3878,c_95668]) ).
tcf(c_97968,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_31769,c_95668]) ).
tcf(c_97969,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18422,c_95668]) ).
tcf(c_97970,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18407,c_95668]) ).
tcf(c_97971,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18382,c_95668]) ).
tcf(c_97972,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18367,c_95668]) ).
tcf(c_97973,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,multiply(multiply(sk_c12,X0),sk_c4))),multiply(iPr_def_24,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3879,c_95668]) ).
tcf(c_97974,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_32025,c_95668]) ).
tcf(c_97975,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18684,c_95668]) ).
tcf(c_97976,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18649,c_95668]) ).
tcf(c_97977,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18624,c_95668]) ).
tcf(c_97978,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_18596,c_95668]) ).
tcf(c_97979,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,multiply(multiply(sk_c11,X0),sk_c4))),multiply(iPr_def_22,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3880,c_95668]) ).
tcf(c_97980,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_91878,c_95668]) ).
tcf(c_97981,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87051,c_95668]) ).
tcf(c_97982,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_85601,c_95668]) ).
tcf(c_97983,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28511,c_95668]) ).
tcf(c_97984,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20930,c_95668]) ).
tcf(c_97985,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20895,c_95668]) ).
tcf(c_97986,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20860,c_95668]) ).
tcf(c_97987,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20819,c_95668]) ).
tcf(c_97988,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,multiply(multiply(sk_c9,X0),sk_c4))),multiply(iPr_def_20,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3881,c_95668]) ).
tcf(c_97989,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c9,multiply(multiply(sk_c11,X0),sk_c4))),multiply(iPr_def_18,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3882,c_95668]) ).
tcf(c_97990,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,multiply(multiply(sk_c9,X0),sk_c4))),multiply(iPr_def_14,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3883,c_95668]) ).
tcf(c_97991,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_95337,c_95668]) ).
tcf(c_97992,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_93859,c_95668]) ).
tcf(c_97993,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_90219,c_95668]) ).
tcf(c_97994,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30868,c_95668]) ).
tcf(c_97995,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30745,c_95668]) ).
tcf(c_97996,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30604,c_95668]) ).
tcf(c_97997,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30451,c_95668]) ).
tcf(c_97998,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29976,c_95668]) ).
tcf(c_97999,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29360,c_95668]) ).
tcf(c_98000,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27039,c_95668]) ).
tcf(c_98001,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26906,c_95668]) ).
tcf(c_98002,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26808,c_95668]) ).
tcf(c_98003,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,multiply(multiply(sk_c11,X0),sk_c4))),multiply(iPr_def_27,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3884,c_95668]) ).
tcf(c_98004,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,multiply(multiply(sk_c12,X0),sk_c4))),multiply(iPr_def_15,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_3885,c_95668]) ).
tcf(c_98005,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),multiply(multiply(X0,X1),sk_c4))),X1) = iPr_def_23,
inference(superposition,[status(thm)],[c_15741,c_95668]) ).
tcf(c_98006,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_19,X0),sk_c4))),multiply(iPr_def_14,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8697,c_95668]) ).
tcf(c_98007,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_19,X0),sk_c4))),multiply(iPr_def_14,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7261,c_95668]) ).
tcf(c_98008,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_19,X0),sk_c4))),multiply(iPr_def_14,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3889,c_95668]) ).
tcf(c_98009,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,multiply(multiply(sk_c4,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_3910,c_95668]) ).
tcf(c_98010,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,multiply(multiply(sk_c5,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_3909,c_95668]) ).
tcf(c_98011,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,multiply(multiply(sk_c6,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_3908,c_95668]) ).
tcf(c_98012,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,multiply(multiply(sk_c8,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_3907,c_95668]) ).
tcf(c_98013,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,multiply(multiply(sk_c7,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_3906,c_95668]) ).
tcf(c_98014,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,multiply(multiply(sk_c1,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_3905,c_95668]) ).
tcf(c_98015,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_26,multiply(multiply(sk_c2,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_3904,c_95668]) ).
tcf(c_98016,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,multiply(multiply(sk_c3,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_3903,c_95668]) ).
tcf(c_98017,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28367,c_95668]) ).
tcf(c_98018,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25602,c_95668]) ).
tcf(c_98019,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6184,c_95668]) ).
tcf(c_98020,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4714,c_95668]) ).
tcf(c_98021,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4621,c_95668]) ).
tcf(c_98022,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4078,c_95668]) ).
tcf(c_98023,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28368,c_95668]) ).
tcf(c_98024,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25603,c_95668]) ).
tcf(c_98025,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6185,c_95668]) ).
tcf(c_98026,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4715,c_95668]) ).
tcf(c_98027,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4622,c_95668]) ).
tcf(c_98028,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4079,c_95668]) ).
tcf(c_98029,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28369,c_95668]) ).
tcf(c_98030,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25604,c_95668]) ).
tcf(c_98031,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6186,c_95668]) ).
tcf(c_98032,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4716,c_95668]) ).
tcf(c_98033,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4623,c_95668]) ).
tcf(c_98034,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4080,c_95668]) ).
tcf(c_98035,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28250,c_95668]) ).
tcf(c_98036,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24654,c_95668]) ).
tcf(c_98037,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6322,c_95668]) ).
tcf(c_98038,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4870,c_95668]) ).
tcf(c_98039,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4810,c_95668]) ).
tcf(c_98040,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4186,c_95668]) ).
tcf(c_98041,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28251,c_95668]) ).
tcf(c_98042,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24655,c_95668]) ).
tcf(c_98043,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6323,c_95668]) ).
tcf(c_98044,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4871,c_95668]) ).
tcf(c_98045,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4811,c_95668]) ).
tcf(c_98046,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c4))),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4187,c_95668]) ).
tcf(c_98047,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28252,c_95668]) ).
tcf(c_98048,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24656,c_95668]) ).
tcf(c_98049,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6324,c_95668]) ).
tcf(c_98050,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4872,c_95668]) ).
tcf(c_98051,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4812,c_95668]) ).
tcf(c_98052,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4188,c_95668]) ).
tcf(c_98053,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96099,c_95668]) ).
tcf(c_98054,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27799,c_95668]) ).
tcf(c_98055,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24385,c_95668]) ).
tcf(c_98056,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6644,c_95668]) ).
tcf(c_98057,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5613,c_95668]) ).
tcf(c_98058,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5519,c_95668]) ).
tcf(c_98059,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c4))),iPr_def_29) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4282,c_95668]) ).
tcf(c_98060,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_96101,c_95668]) ).
tcf(c_98061,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27801,c_95668]) ).
tcf(c_98062,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24387,c_95668]) ).
tcf(c_98063,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6646,c_95668]) ).
tcf(c_98064,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5615,c_95668]) ).
tcf(c_98065,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5521,c_95668]) ).
tcf(c_98066,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4284,c_95668]) ).
tcf(c_98067,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_16,X0),sk_c4))),multiply(iPr_def_14,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8310,c_95668]) ).
tcf(c_98068,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_16,X0),sk_c4))),multiply(iPr_def_14,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7249,c_95668]) ).
tcf(c_98069,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_16,X0),sk_c4))),multiply(iPr_def_14,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4936,c_95668]) ).
tcf(c_98070,plain,
multiply(inverse(multiply(iPr_def_25,multiply(iPr_def_15,sk_c4))),sk_c12) = iPr_def_23,
inference(superposition,[status(thm)],[c_6799,c_95668]) ).
tcf(c_98071,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,multiply(multiply(iPr_def_15,X0),sk_c4))),multiply(sk_c12,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_6802,c_95668]) ).
tcf(c_98072,plain,
multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_27,sk_c4))),sk_c11) = iPr_def_23,
inference(superposition,[status(thm)],[c_6804,c_95668]) ).
tcf(c_98073,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_26,multiply(multiply(iPr_def_27,X0),sk_c4))),multiply(sk_c11,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_6807,c_95668]) ).
tcf(c_98074,plain,
multiply(inverse(multiply(iPr_def_28,multiply(iPr_def_29,sk_c4))),sk_c12) = iPr_def_23,
inference(superposition,[status(thm)],[c_6809,c_95668]) ).
tcf(c_98075,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,multiply(multiply(iPr_def_29,X0),sk_c4))),multiply(sk_c12,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_6812,c_95668]) ).
tcf(c_98076,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6824,c_95668]) ).
tcf(c_98077,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6822,c_95668]) ).
tcf(c_98078,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6820,c_95668]) ).
tcf(c_98079,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6818,c_95668]) ).
tcf(c_98080,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6816,c_95668]) ).
tcf(c_98081,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6814,c_95668]) ).
tcf(c_98082,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6825,c_95668]) ).
tcf(c_98083,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6823,c_95668]) ).
tcf(c_98084,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6821,c_95668]) ).
tcf(c_98085,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6819,c_95668]) ).
tcf(c_98086,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6817,c_95668]) ).
tcf(c_98087,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_6815,c_95668]) ).
tcf(c_98088,plain,
multiply(inverse(multiply(iPr_def_17,multiply(iPr_def_14,sk_c4))),sk_c9) = iPr_def_23,
inference(superposition,[status(thm)],[c_7113,c_95668]) ).
tcf(c_98089,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,multiply(multiply(iPr_def_14,X0),sk_c4))),multiply(sk_c9,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_7189,c_95668]) ).
tcf(c_98090,plain,
multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_20,sk_c4))),sk_c9) = iPr_def_23,
inference(superposition,[status(thm)],[c_7191,c_95668]) ).
tcf(c_98091,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,multiply(multiply(iPr_def_20,X0),sk_c4))),multiply(sk_c9,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_7194,c_95668]) ).
tcf(c_98092,plain,
multiply(inverse(multiply(iPr_def_21,multiply(iPr_def_22,sk_c4))),sk_c11) = iPr_def_23,
inference(superposition,[status(thm)],[c_7196,c_95668]) ).
tcf(c_98093,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,multiply(multiply(iPr_def_22,X0),sk_c4))),multiply(sk_c11,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_7199,c_95668]) ).
tcf(c_98094,plain,
multiply(inverse(multiply(iPr_def_23,multiply(iPr_def_24,sk_c4))),sk_c12) = iPr_def_23,
inference(superposition,[status(thm)],[c_7201,c_95668]) ).
tcf(c_98095,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),sk_c4))),multiply(sk_c12,X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_7204,c_95668]) ).
tcf(c_98096,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7617,c_95668]) ).
tcf(c_98097,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7612,c_95668]) ).
tcf(c_98098,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7611,c_95668]) ).
tcf(c_98099,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7607,c_95668]) ).
tcf(c_98100,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7283,c_95668]) ).
tcf(c_98101,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7278,c_95668]) ).
tcf(c_98102,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7277,c_95668]) ).
tcf(c_98103,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7273,c_95668]) ).
tcf(c_98104,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10039,c_95668]) ).
tcf(c_98105,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7618,c_95668]) ).
tcf(c_98106,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7614,c_95668]) ).
tcf(c_98107,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7613,c_95668]) ).
tcf(c_98108,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7608,c_95668]) ).
tcf(c_98109,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7284,c_95668]) ).
tcf(c_98110,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7280,c_95668]) ).
tcf(c_98111,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7279,c_95668]) ).
tcf(c_98112,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7274,c_95668]) ).
tcf(c_98113,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10040,c_95668]) ).
tcf(c_98114,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9473,c_95668]) ).
tcf(c_98115,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9472,c_95668]) ).
tcf(c_98116,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9471,c_95668]) ).
tcf(c_98117,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9470,c_95668]) ).
tcf(c_98118,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9469,c_95668]) ).
tcf(c_98119,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7623,c_95668]) ).
tcf(c_98120,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7622,c_95668]) ).
tcf(c_98121,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7621,c_95668]) ).
tcf(c_98122,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7620,c_95668]) ).
tcf(c_98123,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7619,c_95668]) ).
tcf(c_98124,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7289,c_95668]) ).
tcf(c_98125,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7288,c_95668]) ).
tcf(c_98126,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7285,c_95668]) ).
tcf(c_98127,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9138,c_95668]) ).
tcf(c_98128,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8933,c_95668]) ).
tcf(c_98129,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8873,c_95668]) ).
tcf(c_98130,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8813,c_95668]) ).
tcf(c_98131,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8346,c_95668]) ).
tcf(c_98132,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7630,c_95668]) ).
tcf(c_98133,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7629,c_95668]) ).
tcf(c_98134,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7628,c_95668]) ).
tcf(c_98135,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7627,c_95668]) ).
tcf(c_98136,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7626,c_95668]) ).
tcf(c_98137,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7296,c_95668]) ).
tcf(c_98138,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7295,c_95668]) ).
tcf(c_98139,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7292,c_95668]) ).
tcf(c_98140,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(multiply(sk_c11,X0),sk_c4))),multiply(iPr_def_18,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8548,c_95668]) ).
tcf(c_98141,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(multiply(sk_c11,X0),sk_c4))),multiply(iPr_def_18,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7631,c_95668]) ).
tcf(c_98142,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(multiply(sk_c11,X0),sk_c4))),multiply(iPr_def_18,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7297,c_95668]) ).
tcf(c_98143,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7907,c_95668]) ).
tcf(c_98144,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7906,c_95668]) ).
tcf(c_98145,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7902,c_95668]) ).
tcf(c_98146,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7464,c_95668]) ).
tcf(c_98147,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7459,c_95668]) ).
tcf(c_98148,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7458,c_95668]) ).
tcf(c_98149,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7454,c_95668]) ).
tcf(c_98150,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9901,c_95668]) ).
tcf(c_98151,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7903,c_95668]) ).
tcf(c_98152,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7465,c_95668]) ).
tcf(c_98153,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7461,c_95668]) ).
tcf(c_98154,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7460,c_95668]) ).
tcf(c_98155,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7455,c_95668]) ).
tcf(c_98156,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9902,c_95668]) ).
tcf(c_98157,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9239,c_95668]) ).
tcf(c_98158,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9238,c_95668]) ).
tcf(c_98159,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9237,c_95668]) ).
tcf(c_98160,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9236,c_95668]) ).
tcf(c_98161,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9235,c_95668]) ).
tcf(c_98162,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7918,c_95668]) ).
tcf(c_98163,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7917,c_95668]) ).
tcf(c_98164,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7916,c_95668]) ).
tcf(c_98165,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7915,c_95668]) ).
tcf(c_98166,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7914,c_95668]) ).
tcf(c_98167,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7470,c_95668]) ).
tcf(c_98168,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7469,c_95668]) ).
tcf(c_98169,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7466,c_95668]) ).
tcf(c_98170,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9139,c_95668]) ).
tcf(c_98171,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8934,c_95668]) ).
tcf(c_98172,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8874,c_95668]) ).
tcf(c_98173,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8814,c_95668]) ).
tcf(c_98174,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8347,c_95668]) ).
tcf(c_98175,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7925,c_95668]) ).
tcf(c_98176,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7924,c_95668]) ).
tcf(c_98177,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7923,c_95668]) ).
tcf(c_98178,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7922,c_95668]) ).
tcf(c_98179,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7921,c_95668]) ).
tcf(c_98180,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7477,c_95668]) ).
tcf(c_98181,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7476,c_95668]) ).
tcf(c_98182,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7473,c_95668]) ).
tcf(c_98183,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(sk_c11,X0),sk_c4))),multiply(iPr_def_18,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8184,c_95668]) ).
tcf(c_98184,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(sk_c11,X0),sk_c4))),multiply(iPr_def_18,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7926,c_95668]) ).
tcf(c_98185,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(sk_c11,X0),sk_c4))),multiply(iPr_def_18,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7478,c_95668]) ).
tcf(c_98186,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,multiply(multiply(iPr_def_19,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_19287,c_95668]) ).
tcf(c_98187,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c6,multiply(multiply(iPr_def_16,X0),sk_c4))),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8148,c_95668]) ).
tcf(c_98188,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c6,multiply(multiply(iPr_def_16,X0),sk_c4))),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8136,c_95668]) ).
tcf(c_98189,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c6,multiply(multiply(iPr_def_16,X0),sk_c4))),multiply(iPr_def_20,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8009,c_95668]) ).
tcf(c_98190,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_15,multiply(iPr_def_15,sk_c4))),sk_c12) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8031,c_95668]) ).
tcf(c_98191,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,multiply(multiply(iPr_def_26,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_26329,c_95668]) ).
tcf(c_98192,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(multiply(iPr_def_26,X0),sk_c4))),multiply(iPr_def_22,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8719,c_95668]) ).
tcf(c_98193,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c5,multiply(multiply(iPr_def_26,X0),sk_c4))),multiply(iPr_def_22,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8332,c_95668]) ).
tcf(c_98194,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(multiply(iPr_def_26,X0),sk_c4))),multiply(iPr_def_18,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8821,c_95668]) ).
tcf(c_98195,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c9,multiply(multiply(iPr_def_26,X0),sk_c4))),multiply(iPr_def_18,X0)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8354,c_95668]) ).
tcf(c_98196,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,multiply(multiply(iPr_def_28,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_23695,c_95668]) ).
tcf(c_98197,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,multiply(multiply(iPr_def_21,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_18508,c_95668]) ).
tcf(c_98198,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,multiply(multiply(iPr_def_23,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_18226,c_95668]) ).
tcf(c_98199,plain,
multiply(inverse(multiply(sk_c6,multiply(iPr_def_18,sk_c4))),multiply(iPr_def_20,sk_c11)) = iPr_def_23,
inference(superposition,[status(thm)],[c_11706,c_95668]) ).
tcf(c_98200,plain,
multiply(inverse(multiply(sk_c8,multiply(iPr_def_18,sk_c4))),multiply(iPr_def_14,sk_c11)) = iPr_def_23,
inference(superposition,[status(thm)],[c_12297,c_95668]) ).
tcf(c_98201,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_75132,c_95668]) ).
tcf(c_98202,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_75014,c_95668]) ).
tcf(c_98203,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73886,c_95668]) ).
tcf(c_98204,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73749,c_95668]) ).
tcf(c_98205,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_71633,c_95668]) ).
tcf(c_98206,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69622,c_95668]) ).
tcf(c_98207,plain,
multiply(inverse(multiply(inverse(sk_c9),multiply(iPr_def_18,sk_c4))),sk_c11) = iPr_def_23,
inference(superposition,[status(thm)],[c_15766,c_95668]) ).
tcf(c_98208,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(multiply(X0,multiply(X1,X2)),sk_c4))),X2) = iPr_def_23,
inference(superposition,[status(thm)],[c_15772,c_95668]) ).
tcf(c_98209,plain,
! [X0: $i] : multiply(inverse(multiply(X0,multiply(identity,sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_16791,c_95668]) ).
tcf(c_98210,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_17,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_21650,c_95668]) ).
tcf(c_98211,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,multiply(multiply(iPr_def_16,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_22996,c_95668]) ).
tcf(c_98212,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23038,c_95668]) ).
tcf(c_98213,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23036,c_95668]) ).
tcf(c_98214,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23034,c_95668]) ).
tcf(c_98215,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23032,c_95668]) ).
tcf(c_98216,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23030,c_95668]) ).
tcf(c_98217,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23028,c_95668]) ).
tcf(c_98218,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23181,c_95668]) ).
tcf(c_98219,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23179,c_95668]) ).
tcf(c_98220,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23177,c_95668]) ).
tcf(c_98221,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23175,c_95668]) ).
tcf(c_98222,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23173,c_95668]) ).
tcf(c_98223,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c4))),X0) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23171,c_95668]) ).
tcf(c_98224,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89445,c_95668]) ).
tcf(c_98225,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_89327,c_95668]) ).
tcf(c_98226,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_87721,c_95668]) ).
tcf(c_98227,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_86109,c_95668]) ).
tcf(c_98228,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_84639,c_95668]) ).
tcf(c_98229,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_84104,c_95668]) ).
tcf(c_98230,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_82619,c_95668]) ).
tcf(c_98231,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_81285,c_95668]) ).
tcf(c_98232,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c4))),iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77221,c_95668]) ).
tcf(c_98233,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69342,c_95668]) ).
tcf(c_98234,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69341,c_95668]) ).
tcf(c_98235,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69340,c_95668]) ).
tcf(c_98236,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69339,c_95668]) ).
tcf(c_98237,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69338,c_95668]) ).
tcf(c_98238,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69151,c_95668]) ).
tcf(c_98239,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69150,c_95668]) ).
tcf(c_98240,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69149,c_95668]) ).
tcf(c_98241,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69148,c_95668]) ).
tcf(c_98242,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69147,c_95668]) ).
tcf(c_98243,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_68434,c_95668]) ).
tcf(c_98244,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_68433,c_95668]) ).
tcf(c_98245,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_68432,c_95668]) ).
tcf(c_98246,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_68431,c_95668]) ).
tcf(c_98247,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_68430,c_95668]) ).
tcf(c_98248,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_65611,c_95668]) ).
tcf(c_98249,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_65610,c_95668]) ).
tcf(c_98250,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_65609,c_95668]) ).
tcf(c_98251,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_65608,c_95668]) ).
tcf(c_98252,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c4))),iPr_def_27) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_65607,c_95668]) ).
tcf(c_98253,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,multiply(multiply(iPr_def_25,X0),sk_c4))),X0) = iPr_def_23,
inference(superposition,[status(thm)],[c_45277,c_95668]) ).
tcf(c_98254,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c9)),multiply(multiply(X0,iPr_def_18),sk_c4))),sk_c11) = iPr_def_23,
inference(superposition,[status(thm)],[c_47380,c_95668]) ).
tcf(c_98255,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sk_c4))),iPr_def_23) = iPr_def_23,
inference(superposition,[status(thm)],[c_47770,c_95668]) ).
tcf(c_98256,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77082,c_95668]) ).
tcf(c_98257,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_61624,c_95668]) ).
tcf(c_98258,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60851,c_95668]) ).
tcf(c_98259,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60819,c_95668]) ).
tcf(c_98260,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_60800,c_95668]) ).
tcf(c_98261,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77110,c_95668]) ).
tcf(c_98262,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_61896,c_95668]) ).
tcf(c_98263,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_61681,c_95668]) ).
tcf(c_98264,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_61662,c_95668]) ).
tcf(c_98265,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_61643,c_95668]) ).
tcf(c_98266,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_71688,c_95668]) ).
tcf(c_98267,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_62404,c_95668]) ).
tcf(c_98268,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_61953,c_95668]) ).
tcf(c_98269,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_61934,c_95668]) ).
tcf(c_98270,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_61915,c_95668]) ).
tcf(c_98271,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_68646,c_95668]) ).
tcf(c_98272,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_68526,c_95668]) ).
tcf(c_98273,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66287,c_95668]) ).
tcf(c_98274,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_66196,c_95668]) ).
tcf(c_98275,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_65401,c_95668]) ).
tcf(c_98276,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_65234,c_95668]) ).
tcf(c_98277,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_62665,c_95668]) ).
tcf(c_98278,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_62592,c_95668]) ).
tcf(c_98279,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_62441,c_95668]) ).
tcf(c_98280,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(iPr_def_27,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_71916,c_95668]) ).
tcf(c_98281,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(iPr_def_27,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_71748,c_95668]) ).
tcf(c_98282,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(iPr_def_27,sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_69420,c_95668]) ).
tcf(c_98283,plain,
multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_73054,c_95668]) ).
tcf(c_98284,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73140,c_95668]) ).
tcf(c_98285,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73139,c_95668]) ).
tcf(c_98286,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73145,c_95668]) ).
tcf(c_98287,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73144,c_95668]) ).
tcf(c_98288,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73143,c_95668]) ).
tcf(c_98289,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73142,c_95668]) ).
tcf(c_98290,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73141,c_95668]) ).
tcf(c_98291,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73138,c_95668]) ).
tcf(c_98292,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73137,c_95668]) ).
tcf(c_98293,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73136,c_95668]) ).
tcf(c_98294,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73135,c_95668]) ).
tcf(c_98295,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73134,c_95668]) ).
tcf(c_98296,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73168,c_95668]) ).
tcf(c_98297,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73166,c_95668]) ).
tcf(c_98298,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73164,c_95668]) ).
tcf(c_98299,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73162,c_95668]) ).
tcf(c_98300,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73160,c_95668]) ).
tcf(c_98301,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73158,c_95668]) ).
tcf(c_98302,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73169,c_95668]) ).
tcf(c_98303,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73167,c_95668]) ).
tcf(c_98304,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73165,c_95668]) ).
tcf(c_98305,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73163,c_95668]) ).
tcf(c_98306,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73161,c_95668]) ).
tcf(c_98307,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_73159,c_95668]) ).
tcf(c_98308,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77617,c_95668]) ).
tcf(c_98309,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77618,c_95668]) ).
tcf(c_98310,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77734,c_95668]) ).
tcf(c_98311,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c4))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_77735,c_95668]) ).
tcf(c_98312,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c4))),multiply(multiply(X0,X1),sk_c4))),iPr_def_23) = iPr_def_23,
inference(superposition,[status(thm)],[c_95668,c_95668]) ).
tcf(c_98314,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(iPr_def_23),multiply(inverse(multiply(X0,multiply(X1,sk_c4))),multiply(multiply(X0,X1),X2))) = X2,
inference(superposition,[status(thm)],[c_95668,c_15772]) ).
tcf(c_98315,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(multiply(X0,multiply(X1,sk_c4)))),iPr_def_23) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_95668,c_15741]) ).
tcf(c_98316,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c4))),multiply(multiply(X0,X1),X2)) = multiply(iPr_def_23,X2),
inference(superposition,[status(thm)],[c_95668,c_115]) ).
tcf(c_98317,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(X2,sk_c4))))),multiply(X0,iPr_def_23)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_95668,c_15772]) ).
tcf(c_98318,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c4))),X0)),iPr_def_23) = X1,
inference(superposition,[status(thm)],[c_95668,c_15772]) ).
tcf(c_98319,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(inverse(multiply(X0,multiply(sk_c4,sk_c4))),X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_95668,c_95668]) ).
tcf(c_98337,plain,
multiply(inverse(multiply(sk_c4,identity)),identity) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97957,c_1352]) ).
tcf(c_98338,plain,
! [X0: $i] : multiply(inverse(X0),multiply(X0,iPr_def_23)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97749,c_16791]) ).
tcf(c_98339,plain,
multiply(inverse(multiply(sk_c12,sk_c4)),sk_c12) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97716,c_7201]) ).
tcf(c_98340,plain,
multiply(inverse(multiply(sk_c11,sk_c4)),sk_c11) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97715,c_7196]) ).
tcf(c_98341,plain,
multiply(inverse(multiply(sk_c9,sk_c4)),sk_c9) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97714,c_7191]) ).
tcf(c_98346,plain,
multiply(inverse(multiply(iPr_def_15,sk_c4)),iPr_def_15) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97682,c_45517]) ).
tcf(c_98347,plain,
multiply(inverse(multiply(iPr_def_27,sk_c4)),iPr_def_27) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97681,c_27206]) ).
tcf(c_98348,plain,
multiply(inverse(multiply(iPr_def_14,sk_c4)),iPr_def_14) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97668,c_21749]) ).
tcf(c_98349,plain,
multiply(inverse(multiply(iPr_def_18,sk_c4)),iPr_def_18) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97667,c_734]) ).
tcf(c_98350,plain,
multiply(inverse(multiply(iPr_def_20,sk_c4)),iPr_def_20) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97666,c_20047]) ).
tcf(c_98351,plain,
multiply(inverse(multiply(iPr_def_22,sk_c4)),iPr_def_22) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97657,c_18696]) ).
tcf(c_98352,plain,
multiply(inverse(multiply(iPr_def_24,sk_c4)),iPr_def_24) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97651,c_18271]) ).
tcf(c_98353,plain,
multiply(inverse(multiply(iPr_def_29,sk_c4)),iPr_def_29) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97645,c_23752]) ).
tcf(c_98357,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97742,c_739]) ).
tcf(c_98360,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97741,c_739]) ).
tcf(c_98363,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_23,multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97740,c_739]) ).
tcf(c_98366,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_23,multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97739,c_739]) ).
tcf(c_98369,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_23,multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97738,c_739]) ).
tcf(c_98372,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_14,iPr_def_16)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97737,c_739]) ).
tcf(c_98375,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97712,c_739]) ).
tcf(c_98378,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97711,c_739]) ).
tcf(c_98381,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97710,c_739]) ).
tcf(c_98384,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97709,c_739]) ).
tcf(c_98387,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97708,c_739]) ).
tcf(c_98390,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_14)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97707,c_739]) ).
tcf(c_98393,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97706,c_739]) ).
tcf(c_98396,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97705,c_739]) ).
tcf(c_98399,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97704,c_739]) ).
tcf(c_98402,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97703,c_739]) ).
tcf(c_98405,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97702,c_739]) ).
tcf(c_98408,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_16,iPr_def_17)) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_97701,c_739]) ).
tcf(c_98411,plain,
! [X0: $i] : multiply(sk_c4,multiply(inverse(multiply(X0,multiply(sk_c4,sk_c4))),X0)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_98319,c_18258]) ).
tcf(c_98412,plain,
! [X0: $i] : multiply(sk_c4,multiply(inverse(multiply(multiply(X0,sk_c4),sk_c4)),X0)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_97744,c_18258]) ).
tcf(c_98519,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,identity)),iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98066,c_1352]) ).
tcf(c_98522,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,identity)),iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98065,c_1352]) ).
tcf(c_98525,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,identity)),iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98064,c_1352]) ).
tcf(c_98528,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,identity)),iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98063,c_1352]) ).
tcf(c_98531,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,identity)),iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98062,c_1352]) ).
tcf(c_98534,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,identity)),iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98061,c_1352]) ).
tcf(c_98537,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,identity)),iPr_def_15) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98060,c_1352]) ).
tcf(c_98540,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c1,identity)),iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98059,c_1352]) ).
tcf(c_98543,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,identity)),iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98058,c_1352]) ).
tcf(c_98546,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,identity)),iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98057,c_1352]) ).
tcf(c_98549,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,identity)),iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98056,c_1352]) ).
tcf(c_98552,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,identity)),iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98055,c_1352]) ).
tcf(c_98555,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,identity)),iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98054,c_1352]) ).
tcf(c_98558,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,identity)),iPr_def_29) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_98053,c_1352]) ).
tcf(c_99204,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(sk_c4,multiply(inverse(multiply(X0,multiply(X1,sk_c4))),multiply(multiply(X0,X1),X2))) = X2,
inference(light_normalisation,[status(thm)],[c_98314,c_18258]) ).
tcf(c_101375,plain,
multiply(inverse(identity),inverse(sk_c8)) = iPr_def_17,
inference(superposition,[status(thm)],[c_114,c_47771]) ).
tcf(c_101376,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1)) = iPr_def_17,
inference(superposition,[status(thm)],[c_115,c_47771]) ).
tcf(c_101377,plain,
multiply(inverse(identity),iPr_def_17) = iPr_def_17,
inference(superposition,[status(thm)],[c_1355,c_47771]) ).
tcf(c_101378,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c8),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26217,c_47771]) ).
tcf(c_101379,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26153,c_47771]) ).
tcf(c_101380,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c8),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26096,c_47771]) ).
tcf(c_101381,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25674,c_47771]) ).
tcf(c_101382,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24267,c_47771]) ).
tcf(c_101383,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24189,c_47771]) ).
tcf(c_101384,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24132,c_47771]) ).
tcf(c_101385,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24075,c_47771]) ).
tcf(c_101386,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23853,c_47771]) ).
tcf(c_101387,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_31769,c_47771]) ).
tcf(c_101388,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18422,c_47771]) ).
tcf(c_101389,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18407,c_47771]) ).
tcf(c_101390,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18382,c_47771]) ).
tcf(c_101391,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18367,c_47771]) ).
tcf(c_101392,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32025,c_47771]) ).
tcf(c_101393,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18684,c_47771]) ).
tcf(c_101394,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18649,c_47771]) ).
tcf(c_101395,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18624,c_47771]) ).
tcf(c_101396,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18596,c_47771]) ).
tcf(c_101397,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_91878,c_47771]) ).
tcf(c_101398,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87051,c_47771]) ).
tcf(c_101399,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_85601,c_47771]) ).
tcf(c_101400,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28511,c_47771]) ).
tcf(c_101401,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20930,c_47771]) ).
tcf(c_101402,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20895,c_47771]) ).
tcf(c_101403,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20860,c_47771]) ).
tcf(c_101404,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20819,c_47771]) ).
tcf(c_101405,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_95337,c_47771]) ).
tcf(c_101406,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_93859,c_47771]) ).
tcf(c_101407,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_90219,c_47771]) ).
tcf(c_101408,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30868,c_47771]) ).
tcf(c_101409,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30745,c_47771]) ).
tcf(c_101410,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30604,c_47771]) ).
tcf(c_101411,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30451,c_47771]) ).
tcf(c_101412,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29976,c_47771]) ).
tcf(c_101413,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29360,c_47771]) ).
tcf(c_101414,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27039,c_47771]) ).
tcf(c_101415,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26906,c_47771]) ).
tcf(c_101416,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26808,c_47771]) ).
tcf(c_101417,plain,
multiply(inverse(iPr_def_23),inverse(multiply(sk_c8,sk_c4))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47770,c_47771]) ).
tcf(c_101425,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_17 )
| ( inverse(inverse(multiply(sk_c12,sk_c8))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_47771,c_749]) ).
tcf(c_101426,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sk_c4))),iPr_def_17) = iPr_def_23,
inference(superposition,[status(thm)],[c_47771,c_95668]) ).
tcf(c_101427,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_17),multiply(inverse(multiply(X0,sk_c8)),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_47771,c_15772]) ).
tcf(c_101428,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c8))),iPr_def_17) = X0,
inference(superposition,[status(thm)],[c_47771,c_15741]) ).
tcf(c_101430,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c8)))),multiply(X0,iPr_def_17)) = X1,
inference(superposition,[status(thm)],[c_47771,c_15772]) ).
tcf(c_101431,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(multiply(X0,X1),sk_c8)),X0)),iPr_def_17) = X1,
inference(superposition,[status(thm)],[c_47771,c_15772]) ).
tcf(c_101432,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 )
| ( inverse(inverse(multiply(inverse(X0),sk_c8))) != iPr_def_17 )
| ( inverse(inverse(inverse(multiply(inverse(X0),sk_c8)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_47771,c_747]) ).
tcf(c_101433,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_18,sk_c8)),sk_c9)),iPr_def_17) = sk_c11,
inference(superposition,[status(thm)],[c_47771,c_47380]) ).
tcf(c_101434,plain,
inverse(multiply(identity,sk_c8)) = iPr_def_17,
inference(superposition,[status(thm)],[c_47771,c_16791]) ).
tcf(c_101435,plain,
multiply(inverse(iPr_def_17),inverse(multiply(sk_c4,sk_c8))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47771,c_47770]) ).
tcf(c_101436,plain,
multiply(inverse(iPr_def_17),inverse(multiply(sk_c8,sk_c8))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47771,c_47771]) ).
tcf(c_101437,plain,
multiply(inverse(iPr_def_17),multiply(inverse(multiply(sk_c9,sk_c8)),iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_47771,c_47380]) ).
tcf(c_101438,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,inverse(multiply(sk_c4,sk_c8)))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47771,c_95668]) ).
tcf(c_101439,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(inverse(multiply(multiply(X0,sk_c4),sk_c8)),X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_47771,c_95668]) ).
tcf(c_101440,plain,
multiply(identity,iPr_def_17) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_101377,c_16822]) ).
tcf(c_101442,plain,
multiply(sk_c8,inverse(multiply(sk_c8,sk_c8))) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_101436,c_21718]) ).
tcf(c_101443,plain,
multiply(sk_c8,inverse(multiply(sk_c4,sk_c8))) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_101435,c_21718]) ).
tcf(c_101444,plain,
multiply(sk_c4,inverse(multiply(sk_c8,sk_c4))) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_101417,c_18258]) ).
tcf(c_101445,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101416,c_733]) ).
tcf(c_101448,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101415,c_733]) ).
tcf(c_101451,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101414,c_733]) ).
tcf(c_101454,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101413,c_733]) ).
tcf(c_101457,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101412,c_733]) ).
tcf(c_101460,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101411,c_733]) ).
tcf(c_101463,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101410,c_733]) ).
tcf(c_101466,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101409,c_733]) ).
tcf(c_101469,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101408,c_733]) ).
tcf(c_101472,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101407,c_733]) ).
tcf(c_101475,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101406,c_733]) ).
tcf(c_101478,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_27) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101405,c_733]) ).
tcf(c_101481,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101404,c_733]) ).
tcf(c_101484,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101403,c_733]) ).
tcf(c_101487,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101402,c_733]) ).
tcf(c_101490,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101401,c_733]) ).
tcf(c_101493,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101400,c_733]) ).
tcf(c_101496,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101399,c_733]) ).
tcf(c_101499,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101398,c_733]) ).
tcf(c_101502,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101397,c_733]) ).
tcf(c_101505,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101396,c_733]) ).
tcf(c_101508,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101395,c_733]) ).
tcf(c_101511,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101394,c_733]) ).
tcf(c_101514,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101393,c_733]) ).
tcf(c_101517,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101392,c_733]) ).
tcf(c_101520,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101391,c_733]) ).
tcf(c_101523,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101390,c_733]) ).
tcf(c_101526,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101389,c_733]) ).
tcf(c_101529,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101388,c_733]) ).
tcf(c_101532,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101387,c_733]) ).
tcf(c_101535,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101386,c_733]) ).
tcf(c_101538,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101385,c_733]) ).
tcf(c_101541,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101384,c_733]) ).
tcf(c_101544,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101383,c_733]) ).
tcf(c_101547,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101382,c_733]) ).
tcf(c_101550,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101381,c_733]) ).
tcf(c_101553,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101380,c_733]) ).
tcf(c_101556,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101379,c_733]) ).
tcf(c_101559,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_101378,c_733]) ).
tcf(c_101562,plain,
multiply(sk_c8,multiply(inverse(multiply(sk_c9,sk_c8)),iPr_def_18)) = sk_c11,
inference(light_normalisation,[status(thm)],[c_101437,c_21718]) ).
tcf(c_101563,plain,
! [X0: $i] : multiply(sk_c8,multiply(inverse(multiply(multiply(X0,sk_c4),sk_c8)),X0)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_101439,c_21718]) ).
tcf(c_101704,plain,
multiply(inverse(identity),inverse(sk_c7)) = iPr_def_16,
inference(superposition,[status(thm)],[c_114,c_47772]) ).
tcf(c_101705,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c7))),multiply(X0,X1)) = iPr_def_16,
inference(superposition,[status(thm)],[c_115,c_47772]) ).
tcf(c_101706,plain,
multiply(inverse(identity),iPr_def_16) = iPr_def_16,
inference(superposition,[status(thm)],[c_1356,c_47772]) ).
tcf(c_101707,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c7),iPr_def_29) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26217,c_47772]) ).
tcf(c_101708,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c7),iPr_def_29) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26153,c_47772]) ).
tcf(c_101709,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c7),iPr_def_29) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26096,c_47772]) ).
tcf(c_101710,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c7),iPr_def_29) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_25674,c_47772]) ).
tcf(c_101711,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_29) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_24267,c_47772]) ).
tcf(c_101712,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c7),iPr_def_29) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_24189,c_47772]) ).
tcf(c_101713,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c7),iPr_def_29) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_24132,c_47772]) ).
tcf(c_101714,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c7),iPr_def_29) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_24075,c_47772]) ).
tcf(c_101715,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c7),iPr_def_29) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_23853,c_47772]) ).
tcf(c_101716,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_31769,c_47772]) ).
tcf(c_101717,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c7),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18422,c_47772]) ).
tcf(c_101718,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18407,c_47772]) ).
tcf(c_101719,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18382,c_47772]) ).
tcf(c_101720,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_24) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18367,c_47772]) ).
tcf(c_101721,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_32025,c_47772]) ).
tcf(c_101722,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c7),iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18684,c_47772]) ).
tcf(c_101723,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18649,c_47772]) ).
tcf(c_101724,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18624,c_47772]) ).
tcf(c_101725,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_18596,c_47772]) ).
tcf(c_101726,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_91878,c_47772]) ).
tcf(c_101727,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c7),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_87051,c_47772]) ).
tcf(c_101728,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c7),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_85601,c_47772]) ).
tcf(c_101729,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_28511,c_47772]) ).
tcf(c_101730,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_20930,c_47772]) ).
tcf(c_101731,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c7),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_20895,c_47772]) ).
tcf(c_101732,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_20860,c_47772]) ).
tcf(c_101733,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_20819,c_47772]) ).
tcf(c_101734,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_95337,c_47772]) ).
tcf(c_101735,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_93859,c_47772]) ).
tcf(c_101736,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_90219,c_47772]) ).
tcf(c_101737,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_30868,c_47772]) ).
tcf(c_101738,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_30745,c_47772]) ).
tcf(c_101739,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_30604,c_47772]) ).
tcf(c_101740,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_30451,c_47772]) ).
tcf(c_101741,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29976,c_47772]) ).
tcf(c_101742,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29360,c_47772]) ).
tcf(c_101743,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_27039,c_47772]) ).
tcf(c_101744,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26906,c_47772]) ).
tcf(c_101745,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c7),iPr_def_27) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26808,c_47772]) ).
tcf(c_101746,plain,
multiply(inverse(iPr_def_23),inverse(multiply(sk_c7,sk_c4))) = iPr_def_16,
inference(superposition,[status(thm)],[c_47770,c_47772]) ).
tcf(c_101747,plain,
multiply(inverse(iPr_def_17),inverse(multiply(sk_c7,sk_c8))) = iPr_def_16,
inference(superposition,[status(thm)],[c_47771,c_47772]) ).
tcf(c_101755,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_805,c_47772]) ).
tcf(c_101757,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_795,c_47772]) ).
tcf(c_101759,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_785,c_47772]) ).
tcf(c_101761,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_775,c_47772]) ).
tcf(c_101763,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_765,c_47772]) ).
tcf(c_101765,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_755,c_47772]) ).
tcf(c_101767,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_16 )
| ( inverse(inverse(multiply(sk_c12,sk_c7))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_47772,c_749]) ).
tcf(c_101768,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c7)),multiply(X0,sk_c4))),iPr_def_16) = iPr_def_23,
inference(superposition,[status(thm)],[c_47772,c_95668]) ).
tcf(c_101769,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_16),multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_47772,c_15772]) ).
tcf(c_101770,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c7))),iPr_def_16) = X0,
inference(superposition,[status(thm)],[c_47772,c_15741]) ).
tcf(c_101772,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c7)))),multiply(X0,iPr_def_16)) = X1,
inference(superposition,[status(thm)],[c_47772,c_15772]) ).
tcf(c_101773,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(multiply(X0,X1),sk_c7)),X0)),iPr_def_16) = X1,
inference(superposition,[status(thm)],[c_47772,c_15772]) ).
tcf(c_101774,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 )
| ( inverse(inverse(multiply(inverse(X0),sk_c7))) != iPr_def_16 )
| ( inverse(inverse(inverse(multiply(inverse(X0),sk_c7)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_47772,c_747]) ).
tcf(c_101775,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_18,sk_c7)),sk_c9)),iPr_def_16) = sk_c11,
inference(superposition,[status(thm)],[c_47772,c_47380]) ).
tcf(c_101776,plain,
inverse(multiply(identity,sk_c7)) = iPr_def_16,
inference(superposition,[status(thm)],[c_47772,c_16791]) ).
tcf(c_101777,plain,
multiply(inverse(iPr_def_16),inverse(multiply(sk_c4,sk_c7))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47772,c_47770]) ).
tcf(c_101778,plain,
multiply(inverse(iPr_def_16),inverse(multiply(sk_c8,sk_c7))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47772,c_47771]) ).
tcf(c_101779,plain,
multiply(inverse(iPr_def_16),inverse(multiply(sk_c7,sk_c7))) = iPr_def_16,
inference(superposition,[status(thm)],[c_47772,c_47772]) ).
tcf(c_101780,plain,
multiply(inverse(iPr_def_16),multiply(inverse(multiply(sk_c9,sk_c7)),iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_47772,c_47380]) ).
tcf(c_101781,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,inverse(multiply(sk_c4,sk_c7)))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47772,c_95668]) ).
tcf(c_101782,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(inverse(multiply(multiply(X0,sk_c4),sk_c7)),X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_47772,c_95668]) ).
tcf(c_101783,plain,
multiply(identity,iPr_def_16) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_101706,c_16822]) ).
tcf(c_101785,plain,
multiply(sk_c7,inverse(multiply(sk_c7,sk_c7))) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_101779,c_23140]) ).
tcf(c_101786,plain,
multiply(sk_c7,inverse(multiply(sk_c8,sk_c7))) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_101778,c_23140]) ).
tcf(c_101787,plain,
multiply(sk_c7,inverse(multiply(sk_c4,sk_c7))) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_101777,c_23140]) ).
tcf(c_101788,plain,
multiply(sk_c8,inverse(multiply(sk_c7,sk_c8))) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_101747,c_21718]) ).
tcf(c_101789,plain,
multiply(sk_c4,inverse(multiply(sk_c7,sk_c4))) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_101746,c_18258]) ).
tcf(c_101790,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101745,c_732]) ).
tcf(c_101793,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101744,c_732]) ).
tcf(c_101796,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101743,c_732]) ).
tcf(c_101799,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101742,c_732]) ).
tcf(c_101802,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101741,c_732]) ).
tcf(c_101805,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101740,c_732]) ).
tcf(c_101808,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101739,c_732]) ).
tcf(c_101811,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101738,c_732]) ).
tcf(c_101814,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101737,c_732]) ).
tcf(c_101817,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101736,c_732]) ).
tcf(c_101820,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101735,c_732]) ).
tcf(c_101823,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_27) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101734,c_732]) ).
tcf(c_101826,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101733,c_732]) ).
tcf(c_101829,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101732,c_732]) ).
tcf(c_101832,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101731,c_732]) ).
tcf(c_101835,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101730,c_732]) ).
tcf(c_101838,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101729,c_732]) ).
tcf(c_101841,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101728,c_732]) ).
tcf(c_101844,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101727,c_732]) ).
tcf(c_101847,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101726,c_732]) ).
tcf(c_101850,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101725,c_732]) ).
tcf(c_101853,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101724,c_732]) ).
tcf(c_101856,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101723,c_732]) ).
tcf(c_101859,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101722,c_732]) ).
tcf(c_101862,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101721,c_732]) ).
tcf(c_101865,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101720,c_732]) ).
tcf(c_101868,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101719,c_732]) ).
tcf(c_101871,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101718,c_732]) ).
tcf(c_101874,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101717,c_732]) ).
tcf(c_101877,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101716,c_732]) ).
tcf(c_101880,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101715,c_732]) ).
tcf(c_101883,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101714,c_732]) ).
tcf(c_101886,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101713,c_732]) ).
tcf(c_101889,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101712,c_732]) ).
tcf(c_101892,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101711,c_732]) ).
tcf(c_101895,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101710,c_732]) ).
tcf(c_101898,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101709,c_732]) ).
tcf(c_101901,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101708,c_732]) ).
tcf(c_101904,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_29) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101707,c_732]) ).
tcf(c_101907,plain,
multiply(sk_c7,multiply(inverse(multiply(sk_c9,sk_c7)),iPr_def_18)) = sk_c11,
inference(light_normalisation,[status(thm)],[c_101780,c_23140]) ).
tcf(c_101914,plain,
! [X0: $i] : multiply(sk_c7,multiply(inverse(multiply(multiply(X0,sk_c4),sk_c7)),X0)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_101782,c_23140]) ).
tcf(c_102576,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_88396]) ).
tcf(c_102577,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31995,c_88396]) ).
tcf(c_102578,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31746,c_88396]) ).
tcf(c_102579,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30845,c_88396]) ).
tcf(c_102580,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30723,c_88396]) ).
tcf(c_102581,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30583,c_88396]) ).
tcf(c_102582,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30434,c_88396]) ).
tcf(c_102585,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_88396]) ).
tcf(c_102586,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_88396]) ).
tcf(c_102587,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_88396]) ).
tcf(c_102588,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6721,c_88396]) ).
tcf(c_102589,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_88396]) ).
tcf(c_102590,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6628,c_88396]) ).
tcf(c_102591,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_88396]) ).
tcf(c_102810,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_32002,c_88485]) ).
tcf(c_102811,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31995,c_88485]) ).
tcf(c_102812,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_31746,c_88485]) ).
tcf(c_102813,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30845,c_88485]) ).
tcf(c_102814,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30723,c_88485]) ).
tcf(c_102815,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_30583,c_88485]) ).
tcf(c_102819,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20816,c_88485]) ).
tcf(c_102820,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20812,c_88485]) ).
tcf(c_102821,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18593,c_88485]) ).
tcf(c_102823,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6629,c_88485]) ).
tcf(c_102824,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6628,c_88485]) ).
tcf(c_102825,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_6307,c_88485]) ).
tcf(c_103075,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c4))),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7908,c_95668]) ).
tcf(c_103076,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),multiply(iPr_def_16,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7908,c_15772]) ).
tcf(c_103077,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7908,c_15741]) ).
tcf(c_103079,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_18)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7908,c_15772]) ).
tcf(c_103081,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7908,c_8148]) ).
tcf(c_103082,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7908,c_8136]) ).
tcf(c_103085,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7908,c_23181]) ).
tcf(c_103087,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7908,c_23177]) ).
tcf(c_103088,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7908,c_23175]) ).
tcf(c_103090,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7908,c_23171]) ).
tcf(c_103091,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7908,c_22996]) ).
tcf(c_103100,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_103082,c_11706]) ).
tcf(c_103125,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_103081,c_11706]) ).
tcf(c_103130,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(identity,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_113,c_101376]) ).
tcf(c_103131,plain,
! [X0: $i] : multiply(inverse(identity),multiply(inverse(multiply(X0,sk_c8)),X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_114,c_101376]) ).
tcf(c_103132,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,multiply(X1,multiply(X2,sk_c8)))),multiply(multiply(X0,X1),X2)) = iPr_def_17,
inference(superposition,[status(thm)],[c_115,c_101376]) ).
tcf(c_103133,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_29,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26217,c_101376]) ).
tcf(c_103134,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_29,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26153,c_101376]) ).
tcf(c_103135,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_29,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26096,c_101376]) ).
tcf(c_103136,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_29,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25674,c_101376]) ).
tcf(c_103137,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_29,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24267,c_101376]) ).
tcf(c_103138,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_29,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24189,c_101376]) ).
tcf(c_103139,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_29,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24132,c_101376]) ).
tcf(c_103140,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_29,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24075,c_101376]) ).
tcf(c_103141,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_29,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23853,c_101376]) ).
tcf(c_103142,plain,
multiply(inverse(multiply(iPr_def_29,sk_c8)),multiply(sk_c1,sk_c12)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3878,c_101376]) ).
tcf(c_103143,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_24,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_31769,c_101376]) ).
tcf(c_103144,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_24,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18422,c_101376]) ).
tcf(c_103145,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_24,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18407,c_101376]) ).
tcf(c_103146,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_24,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18382,c_101376]) ).
tcf(c_103147,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_24,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18367,c_101376]) ).
tcf(c_103148,plain,
multiply(inverse(multiply(iPr_def_24,sk_c8)),multiply(sk_c4,sk_c12)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3879,c_101376]) ).
tcf(c_103149,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_22,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32025,c_101376]) ).
tcf(c_103150,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_22,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18684,c_101376]) ).
tcf(c_103151,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_22,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18649,c_101376]) ).
tcf(c_103152,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_22,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18624,c_101376]) ).
tcf(c_103153,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_22,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18596,c_101376]) ).
tcf(c_103154,plain,
multiply(inverse(multiply(iPr_def_22,sk_c8)),multiply(sk_c5,sk_c11)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3880,c_101376]) ).
tcf(c_103155,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_91878,c_101376]) ).
tcf(c_103156,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87051,c_101376]) ).
tcf(c_103157,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_85601,c_101376]) ).
tcf(c_103158,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28511,c_101376]) ).
tcf(c_103159,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20930,c_101376]) ).
tcf(c_103160,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20895,c_101376]) ).
tcf(c_103161,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20860,c_101376]) ).
tcf(c_103162,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20819,c_101376]) ).
tcf(c_103163,plain,
multiply(inverse(multiply(iPr_def_20,sk_c8)),multiply(sk_c6,sk_c9)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3881,c_101376]) ).
tcf(c_103164,plain,
multiply(inverse(multiply(iPr_def_18,sk_c8)),multiply(sk_c9,sk_c11)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3882,c_101376]) ).
tcf(c_103165,plain,
multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(sk_c8,sk_c9)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3883,c_101376]) ).
tcf(c_103166,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_95337,c_101376]) ).
tcf(c_103167,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_93859,c_101376]) ).
tcf(c_103168,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_90219,c_101376]) ).
tcf(c_103169,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30868,c_101376]) ).
tcf(c_103170,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30745,c_101376]) ).
tcf(c_103171,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30604,c_101376]) ).
tcf(c_103172,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30451,c_101376]) ).
tcf(c_103173,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29976,c_101376]) ).
tcf(c_103174,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29360,c_101376]) ).
tcf(c_103175,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27039,c_101376]) ).
tcf(c_103176,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26906,c_101376]) ).
tcf(c_103177,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(iPr_def_27,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26808,c_101376]) ).
tcf(c_103178,plain,
multiply(inverse(multiply(iPr_def_27,sk_c8)),multiply(sk_c2,sk_c11)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3884,c_101376]) ).
tcf(c_103179,plain,
multiply(inverse(multiply(iPr_def_15,sk_c8)),multiply(sk_c3,sk_c12)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3885,c_101376]) ).
tcf(c_103180,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(inverse(X0),X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_15741,c_101376]) ).
tcf(c_103181,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(sk_c8,iPr_def_19)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8697,c_101376]) ).
tcf(c_103182,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(sk_c8,iPr_def_19)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7261,c_101376]) ).
tcf(c_103183,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(sk_c8,iPr_def_19)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3889,c_101376]) ).
tcf(c_103184,plain,
multiply(inverse(sk_c8),multiply(iPr_def_23,sk_c4)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3910,c_101376]) ).
tcf(c_103185,plain,
multiply(inverse(sk_c8),multiply(iPr_def_21,sk_c5)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3909,c_101376]) ).
tcf(c_103186,plain,
multiply(inverse(sk_c8),multiply(iPr_def_19,sk_c6)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3908,c_101376]) ).
tcf(c_103187,plain,
multiply(inverse(sk_c8),multiply(iPr_def_17,sk_c8)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3907,c_101376]) ).
tcf(c_103188,plain,
multiply(inverse(sk_c8),multiply(iPr_def_16,sk_c7)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3906,c_101376]) ).
tcf(c_103189,plain,
multiply(inverse(sk_c8),multiply(iPr_def_28,sk_c1)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3905,c_101376]) ).
tcf(c_103190,plain,
multiply(inverse(sk_c8),multiply(iPr_def_26,sk_c2)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3904,c_101376]) ).
tcf(c_103191,plain,
multiply(inverse(sk_c8),multiply(iPr_def_25,sk_c3)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3903,c_101376]) ).
tcf(c_103192,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(sk_c8,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8310,c_101376]) ).
tcf(c_103193,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(sk_c8,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7249,c_101376]) ).
tcf(c_103194,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(sk_c8,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4936,c_101376]) ).
tcf(c_103195,plain,
multiply(inverse(multiply(sk_c12,sk_c8)),multiply(iPr_def_25,iPr_def_15)) = iPr_def_17,
inference(superposition,[status(thm)],[c_6802,c_101376]) ).
tcf(c_103196,plain,
multiply(inverse(multiply(sk_c11,sk_c8)),multiply(iPr_def_26,iPr_def_27)) = iPr_def_17,
inference(superposition,[status(thm)],[c_6807,c_101376]) ).
tcf(c_103197,plain,
multiply(inverse(multiply(sk_c12,sk_c8)),multiply(iPr_def_28,iPr_def_29)) = iPr_def_17,
inference(superposition,[status(thm)],[c_6812,c_101376]) ).
tcf(c_103198,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6824,c_101376]) ).
tcf(c_103199,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6822,c_101376]) ).
tcf(c_103200,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6820,c_101376]) ).
tcf(c_103201,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6818,c_101376]) ).
tcf(c_103202,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6816,c_101376]) ).
tcf(c_103203,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6814,c_101376]) ).
tcf(c_103204,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6825,c_101376]) ).
tcf(c_103205,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6823,c_101376]) ).
tcf(c_103206,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6821,c_101376]) ).
tcf(c_103207,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6819,c_101376]) ).
tcf(c_103208,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6817,c_101376]) ).
tcf(c_103209,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6815,c_101376]) ).
tcf(c_103210,plain,
multiply(inverse(multiply(sk_c9,sk_c8)),multiply(iPr_def_17,iPr_def_14)) = iPr_def_17,
inference(superposition,[status(thm)],[c_7189,c_101376]) ).
tcf(c_103211,plain,
multiply(inverse(multiply(sk_c9,sk_c8)),multiply(iPr_def_19,iPr_def_20)) = iPr_def_17,
inference(superposition,[status(thm)],[c_7194,c_101376]) ).
tcf(c_103212,plain,
multiply(inverse(multiply(sk_c11,sk_c8)),multiply(iPr_def_21,iPr_def_22)) = iPr_def_17,
inference(superposition,[status(thm)],[c_7199,c_101376]) ).
tcf(c_103213,plain,
multiply(inverse(multiply(sk_c12,sk_c8)),multiply(iPr_def_23,iPr_def_24)) = iPr_def_17,
inference(superposition,[status(thm)],[c_7204,c_101376]) ).
tcf(c_103214,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c8)),multiply(iPr_def_19,sk_c11)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8548,c_101376]) ).
tcf(c_103215,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c8)),multiply(iPr_def_19,sk_c11)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7631,c_101376]) ).
tcf(c_103216,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c8)),multiply(iPr_def_19,sk_c11)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7297,c_101376]) ).
tcf(c_103217,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c8)),multiply(iPr_def_16,sk_c11)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8184,c_101376]) ).
tcf(c_103218,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c8)),multiply(iPr_def_16,sk_c11)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7926,c_101376]) ).
tcf(c_103219,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c8)),multiply(iPr_def_16,sk_c11)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7478,c_101376]) ).
tcf(c_103220,plain,
multiply(inverse(sk_c8),multiply(sk_c6,iPr_def_19)) = iPr_def_17,
inference(superposition,[status(thm)],[c_19287,c_101376]) ).
tcf(c_103221,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),multiply(sk_c6,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8148,c_101376]) ).
tcf(c_103222,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),multiply(sk_c6,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8136,c_101376]) ).
tcf(c_103223,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),multiply(sk_c6,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8009,c_101376]) ).
tcf(c_103224,plain,
multiply(inverse(sk_c8),multiply(sk_c2,iPr_def_26)) = iPr_def_17,
inference(superposition,[status(thm)],[c_26329,c_101376]) ).
tcf(c_103225,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c8)),multiply(sk_c5,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8719,c_101376]) ).
tcf(c_103226,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c8)),multiply(sk_c5,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8332,c_101376]) ).
tcf(c_103227,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c8)),multiply(sk_c9,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8821,c_101376]) ).
tcf(c_103228,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_18,sk_c8)),multiply(sk_c9,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8354,c_101376]) ).
tcf(c_103229,plain,
multiply(inverse(sk_c8),multiply(sk_c1,iPr_def_28)) = iPr_def_17,
inference(superposition,[status(thm)],[c_23695,c_101376]) ).
tcf(c_103230,plain,
multiply(inverse(sk_c8),multiply(sk_c5,iPr_def_21)) = iPr_def_17,
inference(superposition,[status(thm)],[c_18508,c_101376]) ).
tcf(c_103231,plain,
multiply(inverse(sk_c8),multiply(sk_c4,iPr_def_23)) = iPr_def_17,
inference(superposition,[status(thm)],[c_18226,c_101376]) ).
tcf(c_103232,plain,
multiply(inverse(sk_c8),multiply(sk_c8,iPr_def_17)) = iPr_def_17,
inference(superposition,[status(thm)],[c_21650,c_101376]) ).
tcf(c_103233,plain,
multiply(inverse(sk_c8),multiply(sk_c7,iPr_def_16)) = iPr_def_17,
inference(superposition,[status(thm)],[c_22996,c_101376]) ).
tcf(c_103234,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23181,c_101376]) ).
tcf(c_103235,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23179,c_101376]) ).
tcf(c_103236,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23177,c_101376]) ).
tcf(c_103237,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23175,c_101376]) ).
tcf(c_103238,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23173,c_101376]) ).
tcf(c_103239,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23171,c_101376]) ).
tcf(c_103240,plain,
multiply(inverse(sk_c8),multiply(sk_c3,iPr_def_25)) = iPr_def_17,
inference(superposition,[status(thm)],[c_45277,c_101376]) ).
tcf(c_103241,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(inverse(multiply(multiply(X0,sk_c8),sk_c4)),X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_47770,c_101376]) ).
tcf(c_103242,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(inverse(multiply(multiply(X0,sk_c8),sk_c8)),X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_47771,c_101376]) ).
tcf(c_103243,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(inverse(multiply(multiply(X0,sk_c8),sk_c7)),X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_47772,c_101376]) ).
tcf(c_103244,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(inverse(multiply(X0,multiply(sk_c8,sk_c4))),X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_95668,c_101376]) ).
tcf(c_103247,plain,
! [X0: $i] : multiply(inverse(multiply(X0,identity)),multiply(X0,inverse(sk_c8))) = iPr_def_17,
inference(superposition,[status(thm)],[c_114,c_101376]) ).
tcf(c_103248,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,multiply(X1,multiply(X2,sk_c8)))),multiply(X0,multiply(X1,X2))) = iPr_def_17,
inference(superposition,[status(thm)],[c_115,c_101376]) ).
tcf(c_103249,plain,
! [X0: $i] : multiply(inverse(multiply(X0,identity)),multiply(X0,iPr_def_17)) = iPr_def_17,
inference(superposition,[status(thm)],[c_1355,c_101376]) ).
tcf(c_103250,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_29)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26217,c_101376]) ).
tcf(c_103251,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_29)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26153,c_101376]) ).
tcf(c_103252,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_29)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26096,c_101376]) ).
tcf(c_103253,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_29)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25674,c_101376]) ).
tcf(c_103254,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_29)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24267,c_101376]) ).
tcf(c_103255,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_29)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24189,c_101376]) ).
tcf(c_103256,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_29)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24132,c_101376]) ).
tcf(c_103257,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_29)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24075,c_101376]) ).
tcf(c_103258,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_29)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23853,c_101376]) ).
tcf(c_103259,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_31769,c_101376]) ).
tcf(c_103260,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18422,c_101376]) ).
tcf(c_103261,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18407,c_101376]) ).
tcf(c_103262,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18382,c_101376]) ).
tcf(c_103263,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18367,c_101376]) ).
tcf(c_103264,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_22)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32025,c_101376]) ).
tcf(c_103265,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_22)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18684,c_101376]) ).
tcf(c_103266,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_22)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18649,c_101376]) ).
tcf(c_103267,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_22)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18624,c_101376]) ).
tcf(c_103268,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_22)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18596,c_101376]) ).
tcf(c_103269,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_91878,c_101376]) ).
tcf(c_103270,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87051,c_101376]) ).
tcf(c_103271,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_85601,c_101376]) ).
tcf(c_103272,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28511,c_101376]) ).
tcf(c_103273,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20930,c_101376]) ).
tcf(c_103274,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20895,c_101376]) ).
tcf(c_103275,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20860,c_101376]) ).
tcf(c_103276,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20819,c_101376]) ).
tcf(c_103277,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_95337,c_101376]) ).
tcf(c_103278,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_93859,c_101376]) ).
tcf(c_103279,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_90219,c_101376]) ).
tcf(c_103280,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30868,c_101376]) ).
tcf(c_103281,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30745,c_101376]) ).
tcf(c_103282,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30604,c_101376]) ).
tcf(c_103283,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30451,c_101376]) ).
tcf(c_103284,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29976,c_101376]) ).
tcf(c_103285,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29360,c_101376]) ).
tcf(c_103286,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27039,c_101376]) ).
tcf(c_103287,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26906,c_101376]) ).
tcf(c_103288,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_27)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26808,c_101376]) ).
tcf(c_103289,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,inverse(multiply(sk_c8,sk_c4)))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47770,c_101376]) ).
tcf(c_103290,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,inverse(multiply(sk_c8,sk_c8)))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47771,c_101376]) ).
tcf(c_103291,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,inverse(multiply(sk_c8,sk_c7)))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47772,c_101376]) ).
tcf(c_103292,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,multiply(X1,iPr_def_16))),multiply(X0,X1)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21725,c_101376]) ).
tcf(c_103293,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,multiply(X1,iPr_def_16))),multiply(X0,X1)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21724,c_101376]) ).
tcf(c_103294,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,multiply(X1,iPr_def_16))),multiply(X0,X1)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21723,c_101376]) ).
tcf(c_103295,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,multiply(X1,iPr_def_16))),multiply(X0,X1)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21722,c_101376]) ).
tcf(c_103296,plain,
! [X0: $i,X1: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,multiply(X1,iPr_def_16))),multiply(X0,X1)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21721,c_101376]) ).
tcf(c_103297,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,multiply(X1,iPr_def_16))),multiply(X0,X1)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21720,c_101376]) ).
tcf(c_103298,plain,
multiply(inverse(multiply(sk_c1,multiply(sk_c12,sk_c8))),iPr_def_29) = iPr_def_17,
inference(superposition,[status(thm)],[c_23752,c_101376]) ).
tcf(c_103300,plain,
multiply(inverse(multiply(sk_c4,multiply(sk_c12,sk_c8))),iPr_def_24) = iPr_def_17,
inference(superposition,[status(thm)],[c_18271,c_101376]) ).
tcf(c_103302,plain,
multiply(inverse(multiply(sk_c5,multiply(sk_c11,sk_c8))),iPr_def_22) = iPr_def_17,
inference(superposition,[status(thm)],[c_18696,c_101376]) ).
tcf(c_103304,plain,
multiply(inverse(multiply(sk_c6,multiply(sk_c9,sk_c8))),iPr_def_20) = iPr_def_17,
inference(superposition,[status(thm)],[c_20047,c_101376]) ).
tcf(c_103306,plain,
multiply(inverse(multiply(sk_c9,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17,
inference(superposition,[status(thm)],[c_734,c_101376]) ).
tcf(c_103307,plain,
multiply(inverse(multiply(sk_c8,multiply(sk_c9,sk_c8))),iPr_def_14) = iPr_def_17,
inference(superposition,[status(thm)],[c_21749,c_101376]) ).
tcf(c_103309,plain,
multiply(inverse(multiply(sk_c2,multiply(sk_c11,sk_c8))),iPr_def_27) = iPr_def_17,
inference(superposition,[status(thm)],[c_27206,c_101376]) ).
tcf(c_103311,plain,
multiply(inverse(multiply(sk_c3,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17,
inference(superposition,[status(thm)],[c_45517,c_101376]) ).
tcf(c_103313,plain,
! [X0: $i] : multiply(inverse(multiply(identity,multiply(X0,sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_113,c_101376]) ).
tcf(c_103314,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(X0),multiply(X0,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_114,c_101376]) ).
tcf(c_103315,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(multiply(X0,X1),multiply(X2,sk_c8))),multiply(X0,multiply(X1,X2))) = iPr_def_17,
inference(superposition,[status(thm)],[c_115,c_101376]) ).
tcf(c_103316,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2784,c_101376]) ).
tcf(c_103317,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2341,c_101376]) ).
tcf(c_103318,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1898,c_101376]) ).
tcf(c_103319,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1560,c_101376]) ).
tcf(c_103320,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1322,c_101376]) ).
tcf(c_103321,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_19,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1196,c_101376]) ).
tcf(c_103322,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2655,c_101376]) ).
tcf(c_103323,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2278,c_101376]) ).
tcf(c_103324,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1764,c_101376]) ).
tcf(c_103325,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1513,c_101376]) ).
tcf(c_103326,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1262,c_101376]) ).
tcf(c_103327,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,multiply(iPr_def_16,sk_c8))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1197,c_101376]) ).
tcf(c_103328,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2782,c_101376]) ).
tcf(c_103329,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2339,c_101376]) ).
tcf(c_103330,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1896,c_101376]) ).
tcf(c_103331,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1558,c_101376]) ).
tcf(c_103332,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1330,c_101376]) ).
tcf(c_103333,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1328,c_101376]) ).
tcf(c_103334,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2653,c_101376]) ).
tcf(c_103335,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2276,c_101376]) ).
tcf(c_103336,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1762,c_101376]) ).
tcf(c_103337,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1511,c_101376]) ).
tcf(c_103338,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1331,c_101376]) ).
tcf(c_103339,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(sk_c11,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1329,c_101376]) ).
tcf(c_103340,plain,
multiply(inverse(multiply(sk_c6,multiply(iPr_def_19,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_19285,c_101376]) ).
tcf(c_103341,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c8))),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2652,c_101376]) ).
tcf(c_103342,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c8))),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2275,c_101376]) ).
tcf(c_103343,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c8))),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1761,c_101376]) ).
tcf(c_103344,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c8))),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1510,c_101376]) ).
tcf(c_103345,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c8))),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1343,c_101376]) ).
tcf(c_103346,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c6,multiply(iPr_def_16,sk_c8))),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1341,c_101376]) ).
tcf(c_103347,plain,
multiply(inverse(multiply(iPr_def_23,multiply(sk_c4,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_1352,c_101376]) ).
tcf(c_103348,plain,
multiply(inverse(multiply(iPr_def_21,multiply(sk_c5,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_1353,c_101376]) ).
tcf(c_103349,plain,
multiply(inverse(multiply(iPr_def_19,multiply(sk_c6,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_1354,c_101376]) ).
tcf(c_103350,plain,
multiply(inverse(multiply(iPr_def_17,multiply(sk_c8,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_1355,c_101376]) ).
tcf(c_103351,plain,
multiply(inverse(multiply(iPr_def_16,multiply(sk_c7,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_1356,c_101376]) ).
tcf(c_103352,plain,
multiply(inverse(multiply(iPr_def_28,multiply(sk_c1,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_1357,c_101376]) ).
tcf(c_103353,plain,
multiply(inverse(multiply(iPr_def_26,multiply(sk_c2,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_1358,c_101376]) ).
tcf(c_103354,plain,
multiply(inverse(multiply(iPr_def_25,multiply(sk_c3,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_1359,c_101376]) ).
tcf(c_103355,plain,
multiply(inverse(multiply(sk_c2,multiply(iPr_def_26,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_26327,c_101376]) ).
tcf(c_103356,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20205,c_101376]) ).
tcf(c_103357,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4482,c_101376]) ).
tcf(c_103358,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4420,c_101376]) ).
tcf(c_103359,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1717,c_101376]) ).
tcf(c_103360,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1704,c_101376]) ).
tcf(c_103361,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1595,c_101376]) ).
tcf(c_103362,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1582,c_101376]) ).
tcf(c_103363,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_26,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1541,c_101376]) ).
tcf(c_103364,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20206,c_101376]) ).
tcf(c_103365,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4483,c_101376]) ).
tcf(c_103366,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4421,c_101376]) ).
tcf(c_103367,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1718,c_101376]) ).
tcf(c_103368,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1705,c_101376]) ).
tcf(c_103369,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1596,c_101376]) ).
tcf(c_103370,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1583,c_101376]) ).
tcf(c_103371,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1542,c_101376]) ).
tcf(c_103372,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2615,c_101376]) ).
tcf(c_103373,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2230,c_101376]) ).
tcf(c_103374,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2228,c_101376]) ).
tcf(c_103375,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2226,c_101376]) ).
tcf(c_103376,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2224,c_101376]) ).
tcf(c_103377,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_14,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2222,c_101376]) ).
tcf(c_103378,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2689,c_101376]) ).
tcf(c_103379,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2295,c_101376]) ).
tcf(c_103380,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2229,c_101376]) ).
tcf(c_103381,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2227,c_101376]) ).
tcf(c_103382,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2225,c_101376]) ).
tcf(c_103383,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_17,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2223,c_101376]) ).
tcf(c_103384,plain,
multiply(inverse(multiply(sk_c1,multiply(iPr_def_28,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_23693,c_101376]) ).
tcf(c_103385,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_19608,c_101376]) ).
tcf(c_103386,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18776,c_101376]) ).
tcf(c_103387,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6038,c_101376]) ).
tcf(c_103388,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5927,c_101376]) ).
tcf(c_103389,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5860,c_101376]) ).
tcf(c_103390,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2537,c_101376]) ).
tcf(c_103391,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2362,c_101376]) ).
tcf(c_103392,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_28,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2318,c_101376]) ).
tcf(c_103393,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_19609,c_101376]) ).
tcf(c_103394,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18777,c_101376]) ).
tcf(c_103395,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6039,c_101376]) ).
tcf(c_103396,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5928,c_101376]) ).
tcf(c_103397,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5861,c_101376]) ).
tcf(c_103398,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2538,c_101376]) ).
tcf(c_103399,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2363,c_101376]) ).
tcf(c_103400,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_28,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2319,c_101376]) ).
tcf(c_103401,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28090,c_101376]) ).
tcf(c_103402,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6423,c_101376]) ).
tcf(c_103403,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5124,c_101376]) ).
tcf(c_103404,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4973,c_101376]) ).
tcf(c_103405,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4238,c_101376]) ).
tcf(c_103406,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_21,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2389,c_101376]) ).
tcf(c_103407,plain,
multiply(inverse(multiply(sk_c5,multiply(iPr_def_21,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_18506,c_101376]) ).
tcf(c_103408,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28092,c_101376]) ).
tcf(c_103409,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6425,c_101376]) ).
tcf(c_103410,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5126,c_101376]) ).
tcf(c_103411,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4975,c_101376]) ).
tcf(c_103412,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4240,c_101376]) ).
tcf(c_103413,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2391,c_101376]) ).
tcf(c_103414,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27339,c_101376]) ).
tcf(c_103415,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6741,c_101376]) ).
tcf(c_103416,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5801,c_101376]) ).
tcf(c_103417,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5681,c_101376]) ).
tcf(c_103418,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4373,c_101376]) ).
tcf(c_103419,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_24,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2570,c_101376]) ).
tcf(c_103420,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27340,c_101376]) ).
tcf(c_103421,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6742,c_101376]) ).
tcf(c_103422,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5802,c_101376]) ).
tcf(c_103423,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5682,c_101376]) ).
tcf(c_103424,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4374,c_101376]) ).
tcf(c_103425,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_24,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2571,c_101376]) ).
tcf(c_103426,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27341,c_101376]) ).
tcf(c_103427,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6743,c_101376]) ).
tcf(c_103428,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5803,c_101376]) ).
tcf(c_103429,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5683,c_101376]) ).
tcf(c_103430,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4375,c_101376]) ).
tcf(c_103431,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2572,c_101376]) ).
tcf(c_103432,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_19439,c_101376]) ).
tcf(c_103433,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6264,c_101376]) ).
tcf(c_103434,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6115,c_101376]) ).
tcf(c_103435,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3182,c_101376]) ).
tcf(c_103436,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3135,c_101376]) ).
tcf(c_103437,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2918,c_101376]) ).
tcf(c_103438,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2821,c_101376]) ).
tcf(c_103439,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_29,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2720,c_101376]) ).
tcf(c_103440,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_19440,c_101376]) ).
tcf(c_103441,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6265,c_101376]) ).
tcf(c_103442,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6116,c_101376]) ).
tcf(c_103443,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3183,c_101376]) ).
tcf(c_103444,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3136,c_101376]) ).
tcf(c_103445,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2919,c_101376]) ).
tcf(c_103446,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2822,c_101376]) ).
tcf(c_103447,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c5,multiply(iPr_def_29,sk_c8))),iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2721,c_101376]) ).
tcf(c_103448,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_19441,c_101376]) ).
tcf(c_103449,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6266,c_101376]) ).
tcf(c_103450,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6117,c_101376]) ).
tcf(c_103451,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3184,c_101376]) ).
tcf(c_103452,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3137,c_101376]) ).
tcf(c_103453,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2920,c_101376]) ).
tcf(c_103454,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2823,c_101376]) ).
tcf(c_103455,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c9,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2722,c_101376]) ).
tcf(c_103456,plain,
multiply(inverse(multiply(sk_c3,multiply(iPr_def_25,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_45275,c_101376]) ).
tcf(c_103457,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_68696,c_101376]) ).
tcf(c_103458,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_68577,c_101376]) ).
tcf(c_103459,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_66379,c_101376]) ).
tcf(c_103460,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_66143,c_101376]) ).
tcf(c_103461,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65309,c_101376]) ).
tcf(c_103462,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(sk_c11,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65135,c_101376]) ).
tcf(c_103463,plain,
multiply(inverse(multiply(sk_c7,multiply(iPr_def_16,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_22994,c_101376]) ).
tcf(c_103464,plain,
multiply(inverse(multiply(sk_c8,multiply(iPr_def_17,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_21648,c_101376]) ).
tcf(c_103465,plain,
multiply(inverse(multiply(sk_c4,multiply(iPr_def_23,sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_18224,c_101376]) ).
tcf(c_103466,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26217,c_101376]) ).
tcf(c_103467,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26153,c_101376]) ).
tcf(c_103468,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26096,c_101376]) ).
tcf(c_103469,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25674,c_101376]) ).
tcf(c_103470,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24267,c_101376]) ).
tcf(c_103471,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24189,c_101376]) ).
tcf(c_103472,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24132,c_101376]) ).
tcf(c_103473,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24075,c_101376]) ).
tcf(c_103474,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23853,c_101376]) ).
tcf(c_103475,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,multiply(multiply(sk_c12,X0),sk_c8))),multiply(iPr_def_29,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3878,c_101376]) ).
tcf(c_103476,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_31769,c_101376]) ).
tcf(c_103477,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18422,c_101376]) ).
tcf(c_103478,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18407,c_101376]) ).
tcf(c_103479,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18382,c_101376]) ).
tcf(c_103480,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18367,c_101376]) ).
tcf(c_103481,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,multiply(multiply(sk_c12,X0),sk_c8))),multiply(iPr_def_24,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3879,c_101376]) ).
tcf(c_103482,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32025,c_101376]) ).
tcf(c_103483,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18684,c_101376]) ).
tcf(c_103484,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18649,c_101376]) ).
tcf(c_103485,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18624,c_101376]) ).
tcf(c_103486,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18596,c_101376]) ).
tcf(c_103487,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,multiply(multiply(sk_c11,X0),sk_c8))),multiply(iPr_def_22,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3880,c_101376]) ).
tcf(c_103488,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_91878,c_101376]) ).
tcf(c_103489,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87051,c_101376]) ).
tcf(c_103490,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_85601,c_101376]) ).
tcf(c_103491,plain,
! [X0: $i] :
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28511,c_101376]) ).
tcf(c_103492,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20930,c_101376]) ).
tcf(c_103493,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20895,c_101376]) ).
tcf(c_103494,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20860,c_101376]) ).
tcf(c_103495,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20819,c_101376]) ).
tcf(c_103496,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,multiply(multiply(sk_c9,X0),sk_c8))),multiply(iPr_def_20,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3881,c_101376]) ).
tcf(c_103497,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c9,multiply(multiply(sk_c11,X0),sk_c8))),multiply(iPr_def_18,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3882,c_101376]) ).
tcf(c_103498,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,multiply(multiply(sk_c9,X0),sk_c8))),multiply(iPr_def_14,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3883,c_101376]) ).
tcf(c_103499,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_95337,c_101376]) ).
tcf(c_103500,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_93859,c_101376]) ).
tcf(c_103501,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_90219,c_101376]) ).
tcf(c_103502,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30868,c_101376]) ).
tcf(c_103503,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30745,c_101376]) ).
tcf(c_103504,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30604,c_101376]) ).
tcf(c_103505,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_30451,c_101376]) ).
tcf(c_103506,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29976,c_101376]) ).
tcf(c_103507,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29360,c_101376]) ).
tcf(c_103508,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27039,c_101376]) ).
tcf(c_103509,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26906,c_101376]) ).
tcf(c_103510,plain,
! [X0: $i] :
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(X0,sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26808,c_101376]) ).
tcf(c_103511,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,multiply(multiply(sk_c11,X0),sk_c8))),multiply(iPr_def_27,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3884,c_101376]) ).
tcf(c_103512,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,multiply(multiply(sk_c12,X0),sk_c8))),multiply(iPr_def_15,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3885,c_101376]) ).
tcf(c_103513,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),multiply(multiply(X0,X1),sk_c8))),X1) = iPr_def_17,
inference(superposition,[status(thm)],[c_15741,c_101376]) ).
tcf(c_103514,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_19,X0),sk_c8))),multiply(iPr_def_14,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8697,c_101376]) ).
tcf(c_103515,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_19,X0),sk_c8))),multiply(iPr_def_14,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7261,c_101376]) ).
tcf(c_103516,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_19,X0),sk_c8))),multiply(iPr_def_14,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3889,c_101376]) ).
tcf(c_103517,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,multiply(multiply(sk_c4,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_3910,c_101376]) ).
tcf(c_103518,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,multiply(multiply(sk_c5,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_3909,c_101376]) ).
tcf(c_103519,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,multiply(multiply(sk_c6,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_3908,c_101376]) ).
tcf(c_103520,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,multiply(multiply(sk_c8,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_3907,c_101376]) ).
tcf(c_103521,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,multiply(multiply(sk_c7,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_3906,c_101376]) ).
tcf(c_103522,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,multiply(multiply(sk_c1,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_3905,c_101376]) ).
tcf(c_103523,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_26,multiply(multiply(sk_c2,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_3904,c_101376]) ).
tcf(c_103524,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,multiply(multiply(sk_c3,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_3903,c_101376]) ).
tcf(c_103525,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28367,c_101376]) ).
tcf(c_103526,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25602,c_101376]) ).
tcf(c_103527,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6184,c_101376]) ).
tcf(c_103528,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4714,c_101376]) ).
tcf(c_103529,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4621,c_101376]) ).
tcf(c_103530,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_18,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4078,c_101376]) ).
tcf(c_103531,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28368,c_101376]) ).
tcf(c_103532,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25603,c_101376]) ).
tcf(c_103533,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6185,c_101376]) ).
tcf(c_103534,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4715,c_101376]) ).
tcf(c_103535,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4622,c_101376]) ).
tcf(c_103536,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_18,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4079,c_101376]) ).
tcf(c_103537,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28369,c_101376]) ).
tcf(c_103538,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_25604,c_101376]) ).
tcf(c_103539,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6186,c_101376]) ).
tcf(c_103540,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4716,c_101376]) ).
tcf(c_103541,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4623,c_101376]) ).
tcf(c_103542,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_18,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4080,c_101376]) ).
tcf(c_103543,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28250,c_101376]) ).
tcf(c_103544,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24654,c_101376]) ).
tcf(c_103545,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6322,c_101376]) ).
tcf(c_103546,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4870,c_101376]) ).
tcf(c_103547,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4810,c_101376]) ).
tcf(c_103548,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_20,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4186,c_101376]) ).
tcf(c_103549,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28251,c_101376]) ).
tcf(c_103550,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24655,c_101376]) ).
tcf(c_103551,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6323,c_101376]) ).
tcf(c_103552,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4871,c_101376]) ).
tcf(c_103553,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4811,c_101376]) ).
tcf(c_103554,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_20,sk_c8))),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4187,c_101376]) ).
tcf(c_103555,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28252,c_101376]) ).
tcf(c_103556,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24656,c_101376]) ).
tcf(c_103557,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6324,c_101376]) ).
tcf(c_103558,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4872,c_101376]) ).
tcf(c_103559,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4812,c_101376]) ).
tcf(c_103560,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_20,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4188,c_101376]) ).
tcf(c_103561,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_96099,c_101376]) ).
tcf(c_103562,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27799,c_101376]) ).
tcf(c_103563,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24385,c_101376]) ).
tcf(c_103564,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6644,c_101376]) ).
tcf(c_103565,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5613,c_101376]) ).
tcf(c_103566,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5519,c_101376]) ).
tcf(c_103567,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c1,multiply(iPr_def_23,sk_c8))),iPr_def_29) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4282,c_101376]) ).
tcf(c_103568,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_96101,c_101376]) ).
tcf(c_103569,plain,
( ( identity = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27801,c_101376]) ).
tcf(c_103570,plain,
( ( identity = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24387,c_101376]) ).
tcf(c_103571,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6646,c_101376]) ).
tcf(c_103572,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5615,c_101376]) ).
tcf(c_103573,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5521,c_101376]) ).
tcf(c_103574,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,multiply(iPr_def_23,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4284,c_101376]) ).
tcf(c_103575,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_16,X0),sk_c8))),multiply(iPr_def_14,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8310,c_101376]) ).
tcf(c_103576,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_16,X0),sk_c8))),multiply(iPr_def_14,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7249,c_101376]) ).
tcf(c_103577,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_16,X0),sk_c8))),multiply(iPr_def_14,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4936,c_101376]) ).
tcf(c_103578,plain,
multiply(inverse(multiply(iPr_def_25,multiply(iPr_def_15,sk_c8))),sk_c12) = iPr_def_17,
inference(superposition,[status(thm)],[c_6799,c_101376]) ).
tcf(c_103579,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,multiply(multiply(iPr_def_15,X0),sk_c8))),multiply(sk_c12,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_6802,c_101376]) ).
tcf(c_103580,plain,
multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_27,sk_c8))),sk_c11) = iPr_def_17,
inference(superposition,[status(thm)],[c_6804,c_101376]) ).
tcf(c_103581,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_26,multiply(multiply(iPr_def_27,X0),sk_c8))),multiply(sk_c11,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_6807,c_101376]) ).
tcf(c_103582,plain,
multiply(inverse(multiply(iPr_def_28,multiply(iPr_def_29,sk_c8))),sk_c12) = iPr_def_17,
inference(superposition,[status(thm)],[c_6809,c_101376]) ).
tcf(c_103583,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,multiply(multiply(iPr_def_29,X0),sk_c8))),multiply(sk_c12,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_6812,c_101376]) ).
tcf(c_103584,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6824,c_101376]) ).
tcf(c_103585,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6822,c_101376]) ).
tcf(c_103586,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6820,c_101376]) ).
tcf(c_103587,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6818,c_101376]) ).
tcf(c_103588,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6816,c_101376]) ).
tcf(c_103589,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_17,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6814,c_101376]) ).
tcf(c_103590,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6825,c_101376]) ).
tcf(c_103591,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6823,c_101376]) ).
tcf(c_103592,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6821,c_101376]) ).
tcf(c_103593,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6819,c_101376]) ).
tcf(c_103594,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6817,c_101376]) ).
tcf(c_103595,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(iPr_def_14,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6815,c_101376]) ).
tcf(c_103596,plain,
multiply(inverse(multiply(iPr_def_17,multiply(iPr_def_14,sk_c8))),sk_c9) = iPr_def_17,
inference(superposition,[status(thm)],[c_7113,c_101376]) ).
tcf(c_103597,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,multiply(multiply(iPr_def_14,X0),sk_c8))),multiply(sk_c9,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_7189,c_101376]) ).
tcf(c_103598,plain,
multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_20,sk_c8))),sk_c9) = iPr_def_17,
inference(superposition,[status(thm)],[c_7191,c_101376]) ).
tcf(c_103599,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,multiply(multiply(iPr_def_20,X0),sk_c8))),multiply(sk_c9,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_7194,c_101376]) ).
tcf(c_103600,plain,
multiply(inverse(multiply(iPr_def_21,multiply(iPr_def_22,sk_c8))),sk_c11) = iPr_def_17,
inference(superposition,[status(thm)],[c_7196,c_101376]) ).
tcf(c_103601,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,multiply(multiply(iPr_def_22,X0),sk_c8))),multiply(sk_c11,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_7199,c_101376]) ).
tcf(c_103602,plain,
multiply(inverse(multiply(iPr_def_23,multiply(iPr_def_24,sk_c8))),sk_c12) = iPr_def_17,
inference(superposition,[status(thm)],[c_7201,c_101376]) ).
tcf(c_103603,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),sk_c8))),multiply(sk_c12,X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_7204,c_101376]) ).
tcf(c_103604,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7617,c_101376]) ).
tcf(c_103605,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7612,c_101376]) ).
tcf(c_103606,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7611,c_101376]) ).
tcf(c_103607,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7607,c_101376]) ).
tcf(c_103608,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7283,c_101376]) ).
tcf(c_103609,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7278,c_101376]) ).
tcf(c_103610,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7277,c_101376]) ).
tcf(c_103611,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7273,c_101376]) ).
tcf(c_103612,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10039,c_101376]) ).
tcf(c_103613,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7618,c_101376]) ).
tcf(c_103614,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7614,c_101376]) ).
tcf(c_103615,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7613,c_101376]) ).
tcf(c_103616,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7608,c_101376]) ).
tcf(c_103617,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7284,c_101376]) ).
tcf(c_103618,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7280,c_101376]) ).
tcf(c_103619,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7279,c_101376]) ).
tcf(c_103620,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7274,c_101376]) ).
tcf(c_103621,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10040,c_101376]) ).
tcf(c_103622,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9473,c_101376]) ).
tcf(c_103623,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9472,c_101376]) ).
tcf(c_103624,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9471,c_101376]) ).
tcf(c_103625,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9470,c_101376]) ).
tcf(c_103626,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9469,c_101376]) ).
tcf(c_103627,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7623,c_101376]) ).
tcf(c_103628,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7622,c_101376]) ).
tcf(c_103629,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7621,c_101376]) ).
tcf(c_103630,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7620,c_101376]) ).
tcf(c_103631,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7619,c_101376]) ).
tcf(c_103632,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7289,c_101376]) ).
tcf(c_103633,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7288,c_101376]) ).
tcf(c_103634,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7285,c_101376]) ).
tcf(c_103635,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9138,c_101376]) ).
tcf(c_103636,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8933,c_101376]) ).
tcf(c_103637,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8873,c_101376]) ).
tcf(c_103638,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8813,c_101376]) ).
tcf(c_103639,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8346,c_101376]) ).
tcf(c_103640,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7630,c_101376]) ).
tcf(c_103641,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7629,c_101376]) ).
tcf(c_103642,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7628,c_101376]) ).
tcf(c_103643,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7627,c_101376]) ).
tcf(c_103644,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7626,c_101376]) ).
tcf(c_103645,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7296,c_101376]) ).
tcf(c_103646,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7295,c_101376]) ).
tcf(c_103647,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7292,c_101376]) ).
tcf(c_103648,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(multiply(sk_c11,X0),sk_c8))),multiply(iPr_def_18,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8548,c_101376]) ).
tcf(c_103649,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(multiply(sk_c11,X0),sk_c8))),multiply(iPr_def_18,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7631,c_101376]) ).
tcf(c_103650,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_19,multiply(multiply(sk_c11,X0),sk_c8))),multiply(iPr_def_18,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7297,c_101376]) ).
tcf(c_103651,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7907,c_101376]) ).
tcf(c_103652,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7906,c_101376]) ).
tcf(c_103653,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7902,c_101376]) ).
tcf(c_103654,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7464,c_101376]) ).
tcf(c_103655,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7459,c_101376]) ).
tcf(c_103656,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7458,c_101376]) ).
tcf(c_103657,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7454,c_101376]) ).
tcf(c_103658,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_24,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9901,c_101376]) ).
tcf(c_103659,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7908,c_101376]) ).
tcf(c_103660,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7903,c_101376]) ).
tcf(c_103661,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7465,c_101376]) ).
tcf(c_103662,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7461,c_101376]) ).
tcf(c_103663,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7460,c_101376]) ).
tcf(c_103664,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7455,c_101376]) ).
tcf(c_103665,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_21,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9902,c_101376]) ).
tcf(c_103666,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9239,c_101376]) ).
tcf(c_103667,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9238,c_101376]) ).
tcf(c_103668,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9237,c_101376]) ).
tcf(c_103669,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9236,c_101376]) ).
tcf(c_103670,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9235,c_101376]) ).
tcf(c_103671,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7918,c_101376]) ).
tcf(c_103672,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7917,c_101376]) ).
tcf(c_103673,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7916,c_101376]) ).
tcf(c_103674,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7915,c_101376]) ).
tcf(c_103675,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7914,c_101376]) ).
tcf(c_103676,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7470,c_101376]) ).
tcf(c_103677,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7469,c_101376]) ).
tcf(c_103678,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_29,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7466,c_101376]) ).
tcf(c_103679,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9139,c_101376]) ).
tcf(c_103680,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8934,c_101376]) ).
tcf(c_103681,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8874,c_101376]) ).
tcf(c_103682,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8814,c_101376]) ).
tcf(c_103683,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8347,c_101376]) ).
tcf(c_103684,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7925,c_101376]) ).
tcf(c_103685,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7924,c_101376]) ).
tcf(c_103686,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7923,c_101376]) ).
tcf(c_103687,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7922,c_101376]) ).
tcf(c_103688,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7921,c_101376]) ).
tcf(c_103689,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7477,c_101376]) ).
tcf(c_103690,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7476,c_101376]) ).
tcf(c_103691,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(iPr_def_26,sk_c8))),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7473,c_101376]) ).
tcf(c_103692,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(sk_c11,X0),sk_c8))),multiply(iPr_def_18,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8184,c_101376]) ).
tcf(c_103693,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(sk_c11,X0),sk_c8))),multiply(iPr_def_18,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7926,c_101376]) ).
tcf(c_103694,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,multiply(multiply(sk_c11,X0),sk_c8))),multiply(iPr_def_18,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7478,c_101376]) ).
tcf(c_103695,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,multiply(multiply(iPr_def_19,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_19287,c_101376]) ).
tcf(c_103696,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c6,multiply(multiply(iPr_def_16,X0),sk_c8))),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8148,c_101376]) ).
tcf(c_103697,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c6,multiply(multiply(iPr_def_16,X0),sk_c8))),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8136,c_101376]) ).
tcf(c_103698,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c6,multiply(multiply(iPr_def_16,X0),sk_c8))),multiply(iPr_def_20,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8009,c_101376]) ).
tcf(c_103699,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_15,multiply(iPr_def_15,sk_c8))),sk_c12) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8031,c_101376]) ).
tcf(c_103700,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,multiply(multiply(iPr_def_26,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_26329,c_101376]) ).
tcf(c_103701,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c5,multiply(multiply(iPr_def_26,X0),sk_c8))),multiply(iPr_def_22,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8719,c_101376]) ).
tcf(c_103702,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c5,multiply(multiply(iPr_def_26,X0),sk_c8))),multiply(iPr_def_22,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8332,c_101376]) ).
tcf(c_103703,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,multiply(multiply(iPr_def_26,X0),sk_c8))),multiply(iPr_def_18,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8821,c_101376]) ).
tcf(c_103704,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(sk_c9,multiply(multiply(iPr_def_26,X0),sk_c8))),multiply(iPr_def_18,X0)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8354,c_101376]) ).
tcf(c_103705,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,multiply(multiply(iPr_def_28,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_23695,c_101376]) ).
tcf(c_103706,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,multiply(multiply(iPr_def_21,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_18508,c_101376]) ).
tcf(c_103707,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,multiply(multiply(iPr_def_23,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_18226,c_101376]) ).
tcf(c_103708,plain,
multiply(inverse(multiply(sk_c6,multiply(iPr_def_18,sk_c8))),multiply(iPr_def_20,sk_c11)) = iPr_def_17,
inference(superposition,[status(thm)],[c_11706,c_101376]) ).
tcf(c_103709,plain,
multiply(inverse(multiply(sk_c8,multiply(iPr_def_18,sk_c8))),multiply(iPr_def_14,sk_c11)) = iPr_def_17,
inference(superposition,[status(thm)],[c_12297,c_101376]) ).
tcf(c_103710,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75132,c_101376]) ).
tcf(c_103711,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75014,c_101376]) ).
tcf(c_103712,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73886,c_101376]) ).
tcf(c_103713,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73749,c_101376]) ).
tcf(c_103714,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_71633,c_101376]) ).
tcf(c_103715,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_25,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69622,c_101376]) ).
tcf(c_103716,plain,
multiply(inverse(multiply(inverse(sk_c9),multiply(iPr_def_18,sk_c8))),sk_c11) = iPr_def_17,
inference(superposition,[status(thm)],[c_15766,c_101376]) ).
tcf(c_103717,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(multiply(X0,multiply(X1,X2)),sk_c8))),X2) = iPr_def_17,
inference(superposition,[status(thm)],[c_15772,c_101376]) ).
tcf(c_103718,plain,
! [X0: $i] : multiply(inverse(multiply(X0,multiply(identity,sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_16791,c_101376]) ).
tcf(c_103719,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,multiply(multiply(iPr_def_17,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_21650,c_101376]) ).
tcf(c_103720,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,multiply(multiply(iPr_def_16,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_22996,c_101376]) ).
tcf(c_103721,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23038,c_101376]) ).
tcf(c_103722,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23036,c_101376]) ).
tcf(c_103723,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23034,c_101376]) ).
tcf(c_103724,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23032,c_101376]) ).
tcf(c_103725,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23030,c_101376]) ).
tcf(c_103726,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(iPr_def_16,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23028,c_101376]) ).
tcf(c_103727,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23181,c_101376]) ).
tcf(c_103728,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23179,c_101376]) ).
tcf(c_103729,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23177,c_101376]) ).
tcf(c_103730,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23175,c_101376]) ).
tcf(c_103731,plain,
! [X0: $i] :
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23173,c_101376]) ).
tcf(c_103732,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),sk_c8))),X0) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23171,c_101376]) ).
tcf(c_103733,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_89445,c_101376]) ).
tcf(c_103734,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_89327,c_101376]) ).
tcf(c_103735,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_87721,c_101376]) ).
tcf(c_103736,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_86109,c_101376]) ).
tcf(c_103737,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84639,c_101376]) ).
tcf(c_103738,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_84104,c_101376]) ).
tcf(c_103739,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_82619,c_101376]) ).
tcf(c_103740,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_81285,c_101376]) ).
tcf(c_103741,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c2,multiply(sk_c12,sk_c8))),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77221,c_101376]) ).
tcf(c_103742,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69342,c_101376]) ).
tcf(c_103743,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69341,c_101376]) ).
tcf(c_103744,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69340,c_101376]) ).
tcf(c_103745,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69339,c_101376]) ).
tcf(c_103746,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69338,c_101376]) ).
tcf(c_103747,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69151,c_101376]) ).
tcf(c_103748,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69150,c_101376]) ).
tcf(c_103749,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69149,c_101376]) ).
tcf(c_103750,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69148,c_101376]) ).
tcf(c_103751,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69147,c_101376]) ).
tcf(c_103752,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_68434,c_101376]) ).
tcf(c_103753,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_68433,c_101376]) ).
tcf(c_103754,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_68432,c_101376]) ).
tcf(c_103755,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_68431,c_101376]) ).
tcf(c_103756,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_68430,c_101376]) ).
tcf(c_103757,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65611,c_101376]) ).
tcf(c_103758,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65610,c_101376]) ).
tcf(c_103759,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65609,c_101376]) ).
tcf(c_103760,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65608,c_101376]) ).
tcf(c_103761,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(iPr_def_26,sk_c8))),iPr_def_27) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65607,c_101376]) ).
tcf(c_103762,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,multiply(multiply(iPr_def_25,X0),sk_c8))),X0) = iPr_def_17,
inference(superposition,[status(thm)],[c_45277,c_101376]) ).
tcf(c_103763,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c9)),multiply(multiply(X0,iPr_def_18),sk_c8))),sk_c11) = iPr_def_17,
inference(superposition,[status(thm)],[c_47380,c_101376]) ).
tcf(c_103764,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sk_c8))),iPr_def_23) = iPr_def_17,
inference(superposition,[status(thm)],[c_47770,c_101376]) ).
tcf(c_103765,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sk_c8))),iPr_def_17) = iPr_def_17,
inference(superposition,[status(thm)],[c_47771,c_101376]) ).
tcf(c_103766,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c7)),multiply(X0,sk_c8))),iPr_def_16) = iPr_def_17,
inference(superposition,[status(thm)],[c_47772,c_101376]) ).
tcf(c_103767,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77082,c_101376]) ).
tcf(c_103768,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61624,c_101376]) ).
tcf(c_103769,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60851,c_101376]) ).
tcf(c_103770,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60819,c_101376]) ).
tcf(c_103771,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(iPr_def_24,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60800,c_101376]) ).
tcf(c_103772,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77110,c_101376]) ).
tcf(c_103773,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61896,c_101376]) ).
tcf(c_103774,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61681,c_101376]) ).
tcf(c_103775,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61662,c_101376]) ).
tcf(c_103776,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_22,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61643,c_101376]) ).
tcf(c_103777,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_71688,c_101376]) ).
tcf(c_103778,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_62404,c_101376]) ).
tcf(c_103779,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61953,c_101376]) ).
tcf(c_103780,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61934,c_101376]) ).
tcf(c_103781,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,multiply(iPr_def_20,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_61915,c_101376]) ).
tcf(c_103782,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_68646,c_101376]) ).
tcf(c_103783,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_68526,c_101376]) ).
tcf(c_103784,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_66287,c_101376]) ).
tcf(c_103785,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_66196,c_101376]) ).
tcf(c_103786,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65401,c_101376]) ).
tcf(c_103787,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_65234,c_101376]) ).
tcf(c_103788,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_62665,c_101376]) ).
tcf(c_103789,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_62592,c_101376]) ).
tcf(c_103790,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(iPr_def_29,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_62441,c_101376]) ).
tcf(c_103791,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(iPr_def_27,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_71916,c_101376]) ).
tcf(c_103792,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(iPr_def_27,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_71748,c_101376]) ).
tcf(c_103793,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,multiply(iPr_def_27,sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69420,c_101376]) ).
tcf(c_103794,plain,
multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_73054,c_101376]) ).
tcf(c_103795,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73140,c_101376]) ).
tcf(c_103796,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73139,c_101376]) ).
tcf(c_103797,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73145,c_101376]) ).
tcf(c_103798,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73144,c_101376]) ).
tcf(c_103799,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73143,c_101376]) ).
tcf(c_103800,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73142,c_101376]) ).
tcf(c_103801,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73141,c_101376]) ).
tcf(c_103802,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73138,c_101376]) ).
tcf(c_103803,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73137,c_101376]) ).
tcf(c_103804,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73136,c_101376]) ).
tcf(c_103805,plain,
( ( sk_c12 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73135,c_101376]) ).
tcf(c_103806,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_29,multiply(multiply(inverse(iPr_def_18),sk_c9),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73134,c_101376]) ).
tcf(c_103807,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73168,c_101376]) ).
tcf(c_103808,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73166,c_101376]) ).
tcf(c_103809,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73164,c_101376]) ).
tcf(c_103810,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73162,c_101376]) ).
tcf(c_103811,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73160,c_101376]) ).
tcf(c_103812,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73158,c_101376]) ).
tcf(c_103813,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73169,c_101376]) ).
tcf(c_103814,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73167,c_101376]) ).
tcf(c_103815,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73165,c_101376]) ).
tcf(c_103816,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73163,c_101376]) ).
tcf(c_103817,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73161,c_101376]) ).
tcf(c_103818,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(sk_c11,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_73159,c_101376]) ).
tcf(c_103819,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77617,c_101376]) ).
tcf(c_103820,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77618,c_101376]) ).
tcf(c_103821,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_19),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77734,c_101376]) ).
tcf(c_103822,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,multiply(multiply(inverse(iPr_def_18),iPr_def_16),sk_c8))),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_77735,c_101376]) ).
tcf(c_103823,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c4))),multiply(multiply(X0,X1),sk_c8))),iPr_def_23) = iPr_def_17,
inference(superposition,[status(thm)],[c_95668,c_101376]) ).
tcf(c_103824,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(multiply(X0,X1),sk_c8))),iPr_def_17) = iPr_def_17,
inference(superposition,[status(thm)],[c_101376,c_101376]) ).
tcf(c_103826,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(multiply(X0,X1),sk_c4))),iPr_def_17) = iPr_def_23,
inference(superposition,[status(thm)],[c_101376,c_95668]) ).
tcf(c_103827,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(iPr_def_17),multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(multiply(X0,X1),X2))) = X2,
inference(superposition,[status(thm)],[c_101376,c_15772]) ).
tcf(c_103828,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(multiply(X0,multiply(X1,sk_c8)))),iPr_def_17) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_101376,c_15741]) ).
tcf(c_103829,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(multiply(X0,X1),X2)) = multiply(iPr_def_17,X2),
inference(superposition,[status(thm)],[c_101376,c_115]) ).
tcf(c_103830,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(X2,sk_c8))))),multiply(X0,iPr_def_17)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_101376,c_15772]) ).
tcf(c_103831,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c8))),X0)),iPr_def_17) = X1,
inference(superposition,[status(thm)],[c_101376,c_15772]) ).
tcf(c_103832,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(inverse(multiply(X0,multiply(sk_c4,sk_c8))),X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_101376,c_95668]) ).
tcf(c_103833,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(inverse(multiply(X0,multiply(sk_c8,sk_c8))),X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_101376,c_101376]) ).
tcf(c_103851,plain,
multiply(inverse(multiply(sk_c8,identity)),identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103464,c_1355]) ).
tcf(c_103852,plain,
! [X0: $i] : multiply(inverse(X0),multiply(X0,iPr_def_17)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103249,c_16791]) ).
tcf(c_103853,plain,
multiply(inverse(multiply(sk_c12,sk_c8)),sk_c12) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103213,c_7201]) ).
tcf(c_103854,plain,
multiply(inverse(multiply(sk_c11,sk_c8)),sk_c11) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103212,c_7196]) ).
tcf(c_103855,plain,
multiply(inverse(multiply(sk_c9,sk_c8)),sk_c9) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103211,c_7191]) ).
tcf(c_103860,plain,
multiply(inverse(multiply(iPr_def_15,sk_c8)),iPr_def_15) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103179,c_45517]) ).
tcf(c_103861,plain,
multiply(inverse(multiply(iPr_def_27,sk_c8)),iPr_def_27) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103178,c_27206]) ).
tcf(c_103862,plain,
multiply(inverse(multiply(iPr_def_14,sk_c8)),iPr_def_14) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103165,c_21749]) ).
tcf(c_103863,plain,
multiply(inverse(multiply(iPr_def_18,sk_c8)),iPr_def_18) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103164,c_734]) ).
tcf(c_103864,plain,
multiply(inverse(multiply(iPr_def_20,sk_c8)),iPr_def_20) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103163,c_20047]) ).
tcf(c_103865,plain,
multiply(inverse(multiply(iPr_def_22,sk_c8)),iPr_def_22) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103154,c_18696]) ).
tcf(c_103866,plain,
multiply(inverse(multiply(iPr_def_24,sk_c8)),iPr_def_24) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103148,c_18271]) ).
tcf(c_103867,plain,
multiply(inverse(multiply(iPr_def_29,sk_c8)),iPr_def_29) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103142,c_23752]) ).
tcf(c_103871,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103239,c_733]) ).
tcf(c_103874,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103238,c_733]) ).
tcf(c_103877,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103237,c_733]) ).
tcf(c_103880,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103236,c_733]) ).
tcf(c_103883,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103235,c_733]) ).
tcf(c_103886,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_14,iPr_def_16)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103234,c_733]) ).
tcf(c_103889,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103209,c_733]) ).
tcf(c_103892,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103208,c_733]) ).
tcf(c_103895,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103207,c_733]) ).
tcf(c_103898,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103206,c_733]) ).
tcf(c_103901,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103205,c_733]) ).
tcf(c_103904,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_14)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103204,c_733]) ).
tcf(c_103907,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103203,c_733]) ).
tcf(c_103910,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103202,c_733]) ).
tcf(c_103913,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103201,c_733]) ).
tcf(c_103916,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103200,c_733]) ).
tcf(c_103919,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103199,c_733]) ).
tcf(c_103922,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_16,iPr_def_17)) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103198,c_733]) ).
tcf(c_103925,plain,
! [X0: $i] : multiply(sk_c8,multiply(inverse(multiply(X0,multiply(sk_c8,sk_c8))),X0)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103833,c_21718]) ).
tcf(c_103926,plain,
! [X0: $i] : multiply(sk_c8,multiply(inverse(multiply(X0,multiply(sk_c4,sk_c8))),X0)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_103832,c_21718]) ).
tcf(c_103927,plain,
! [X0: $i] : multiply(sk_c4,multiply(inverse(multiply(X0,multiply(sk_c8,sk_c4))),X0)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103244,c_18258]) ).
tcf(c_103928,plain,
! [X0: $i] : multiply(sk_c7,multiply(inverse(multiply(multiply(X0,sk_c8),sk_c7)),X0)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103243,c_23140]) ).
tcf(c_103929,plain,
! [X0: $i] : multiply(sk_c8,multiply(inverse(multiply(multiply(X0,sk_c8),sk_c8)),X0)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103242,c_21718]) ).
tcf(c_103930,plain,
! [X0: $i] : multiply(sk_c4,multiply(inverse(multiply(multiply(X0,sk_c8),sk_c4)),X0)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_103241,c_18258]) ).
tcf(c_104367,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,identity)),identity) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103383,c_1355]) ).
tcf(c_104370,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_16,identity)),identity) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103382,c_1355]) ).
tcf(c_104373,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_16,identity)),identity) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103381,c_1355]) ).
tcf(c_104376,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,identity)),identity) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103380,c_1355]) ).
tcf(c_104379,plain,
( ( sk_c12 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,identity)),identity) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103379,c_1355]) ).
tcf(c_104382,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,identity)),identity) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_103378,c_1355]) ).
tcf(c_104731,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(sk_c8,multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(multiply(X0,X1),X2))) = X2,
inference(light_normalisation,[status(thm)],[c_103827,c_21718]) ).
tcf(c_106772,plain,
multiply(inverse(identity),inverse(sk_c3)) = iPr_def_25,
inference(superposition,[status(thm)],[c_114,c_47773]) ).
tcf(c_106773,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c3))),multiply(X0,X1)) = iPr_def_25,
inference(superposition,[status(thm)],[c_115,c_47773]) ).
tcf(c_106774,plain,
multiply(inverse(identity),iPr_def_25) = iPr_def_25,
inference(superposition,[status(thm)],[c_1359,c_47773]) ).
tcf(c_106775,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_29) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26217,c_47773]) ).
tcf(c_106776,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_29) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26153,c_47773]) ).
tcf(c_106777,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_29) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26096,c_47773]) ).
tcf(c_106778,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_29) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_25674,c_47773]) ).
tcf(c_106779,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_29) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24267,c_47773]) ).
tcf(c_106780,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_29) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24189,c_47773]) ).
tcf(c_106781,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_29) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24132,c_47773]) ).
tcf(c_106782,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_29) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24075,c_47773]) ).
tcf(c_106783,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_29) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23853,c_47773]) ).
tcf(c_106784,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_31769,c_47773]) ).
tcf(c_106785,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18422,c_47773]) ).
tcf(c_106786,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18407,c_47773]) ).
tcf(c_106787,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18382,c_47773]) ).
tcf(c_106788,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18367,c_47773]) ).
tcf(c_106789,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_32025,c_47773]) ).
tcf(c_106790,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18684,c_47773]) ).
tcf(c_106791,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18649,c_47773]) ).
tcf(c_106792,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18624,c_47773]) ).
tcf(c_106793,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18596,c_47773]) ).
tcf(c_106794,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_91878,c_47773]) ).
tcf(c_106795,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c3),iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87051,c_47773]) ).
tcf(c_106796,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_85601,c_47773]) ).
tcf(c_106797,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28511,c_47773]) ).
tcf(c_106798,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20930,c_47773]) ).
tcf(c_106799,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20895,c_47773]) ).
tcf(c_106800,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20860,c_47773]) ).
tcf(c_106801,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20819,c_47773]) ).
tcf(c_106802,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_95337,c_47773]) ).
tcf(c_106803,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_93859,c_47773]) ).
tcf(c_106804,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_90219,c_47773]) ).
tcf(c_106805,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_30868,c_47773]) ).
tcf(c_106806,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_30745,c_47773]) ).
tcf(c_106807,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_30604,c_47773]) ).
tcf(c_106808,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_30451,c_47773]) ).
tcf(c_106809,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_29976,c_47773]) ).
tcf(c_106810,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_29360,c_47773]) ).
tcf(c_106811,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27039,c_47773]) ).
tcf(c_106812,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26906,c_47773]) ).
tcf(c_106813,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26808,c_47773]) ).
tcf(c_106814,plain,
multiply(inverse(iPr_def_23),inverse(multiply(sk_c3,sk_c4))) = iPr_def_25,
inference(superposition,[status(thm)],[c_47770,c_47773]) ).
tcf(c_106815,plain,
multiply(inverse(iPr_def_17),inverse(multiply(sk_c3,sk_c8))) = iPr_def_25,
inference(superposition,[status(thm)],[c_47771,c_47773]) ).
tcf(c_106816,plain,
multiply(inverse(iPr_def_16),inverse(multiply(sk_c3,sk_c7))) = iPr_def_25,
inference(superposition,[status(thm)],[c_47772,c_47773]) ).
tcf(c_106818,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89382,c_47773]) ).
tcf(c_106819,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_89264,c_47773]) ).
tcf(c_106820,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87658,c_47773]) ).
tcf(c_106821,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_87351,c_47773]) ).
tcf(c_106822,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_86048,c_47773]) ).
tcf(c_106823,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_85708,c_47773]) ).
tcf(c_106824,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84580,c_47773]) ).
tcf(c_106825,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84310,c_47773]) ).
tcf(c_106826,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_84047,c_47773]) ).
tcf(c_106827,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_83732,c_47773]) ).
tcf(c_106828,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82564,c_47773]) ).
tcf(c_106829,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_82241,c_47773]) ).
tcf(c_106830,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_81232,c_47773]) ).
tcf(c_106831,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_79129,c_47773]) ).
tcf(c_106832,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_77170,c_47773]) ).
tcf(c_106833,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_75078,c_47773]) ).
tcf(c_106834,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_74959,c_47773]) ).
tcf(c_106835,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_73812,c_47773]) ).
tcf(c_106836,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_73662,c_47773]) ).
tcf(c_106837,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_69816,c_47773]) ).
tcf(c_106838,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_69548,c_47773]) ).
tcf(c_106839,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_25 )
| ( inverse(inverse(multiply(sk_c12,sk_c3))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_47773,c_749]) ).
tcf(c_106840,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c3)),multiply(X0,sk_c8))),iPr_def_25) = iPr_def_17,
inference(superposition,[status(thm)],[c_47773,c_101376]) ).
tcf(c_106841,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c3)),multiply(X0,sk_c4))),iPr_def_25) = iPr_def_23,
inference(superposition,[status(thm)],[c_47773,c_95668]) ).
tcf(c_106842,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_25),multiply(inverse(multiply(X0,sk_c3)),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_47773,c_15772]) ).
tcf(c_106843,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c3))),iPr_def_25) = X0,
inference(superposition,[status(thm)],[c_47773,c_15741]) ).
tcf(c_106845,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c3)))),multiply(X0,iPr_def_25)) = X1,
inference(superposition,[status(thm)],[c_47773,c_15772]) ).
tcf(c_106846,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(multiply(X0,X1),sk_c3)),X0)),iPr_def_25) = X1,
inference(superposition,[status(thm)],[c_47773,c_15772]) ).
tcf(c_106847,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 )
| ( inverse(inverse(multiply(inverse(X0),sk_c3))) != iPr_def_25 )
| ( inverse(inverse(inverse(multiply(inverse(X0),sk_c3)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_47773,c_747]) ).
tcf(c_106848,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_18,sk_c3)),sk_c9)),iPr_def_25) = sk_c11,
inference(superposition,[status(thm)],[c_47773,c_47380]) ).
tcf(c_106849,plain,
inverse(multiply(identity,sk_c3)) = iPr_def_25,
inference(superposition,[status(thm)],[c_47773,c_16791]) ).
tcf(c_106850,plain,
multiply(inverse(iPr_def_25),inverse(multiply(sk_c4,sk_c3))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47773,c_47770]) ).
tcf(c_106851,plain,
multiply(inverse(iPr_def_25),inverse(multiply(sk_c8,sk_c3))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47773,c_47771]) ).
tcf(c_106852,plain,
multiply(inverse(iPr_def_25),inverse(multiply(sk_c7,sk_c3))) = iPr_def_16,
inference(superposition,[status(thm)],[c_47773,c_47772]) ).
tcf(c_106853,plain,
multiply(inverse(iPr_def_25),inverse(multiply(sk_c3,sk_c3))) = iPr_def_25,
inference(superposition,[status(thm)],[c_47773,c_47773]) ).
tcf(c_106854,plain,
multiply(inverse(iPr_def_25),multiply(inverse(multiply(sk_c9,sk_c3)),iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_47773,c_47380]) ).
tcf(c_106855,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,inverse(multiply(sk_c4,sk_c3)))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47773,c_95668]) ).
tcf(c_106856,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,inverse(multiply(sk_c8,sk_c3)))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47773,c_101376]) ).
tcf(c_106857,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),multiply(inverse(multiply(multiply(X0,sk_c4),sk_c3)),X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_47773,c_95668]) ).
tcf(c_106858,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),multiply(inverse(multiply(multiply(X0,sk_c8),sk_c3)),X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_47773,c_101376]) ).
tcf(c_106859,plain,
multiply(identity,iPr_def_25) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_106774,c_16822]) ).
tcf(c_106861,plain,
multiply(sk_c3,inverse(multiply(sk_c3,sk_c3))) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_106853,c_45468]) ).
tcf(c_106862,plain,
multiply(sk_c3,inverse(multiply(sk_c7,sk_c3))) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_106852,c_45468]) ).
tcf(c_106863,plain,
multiply(sk_c3,inverse(multiply(sk_c8,sk_c3))) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_106851,c_45468]) ).
tcf(c_106864,plain,
multiply(sk_c3,inverse(multiply(sk_c4,sk_c3))) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_106850,c_45468]) ).
tcf(c_106865,plain,
multiply(sk_c7,inverse(multiply(sk_c3,sk_c7))) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_106816,c_23140]) ).
tcf(c_106866,plain,
multiply(sk_c8,inverse(multiply(sk_c3,sk_c8))) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_106815,c_21718]) ).
tcf(c_106867,plain,
multiply(sk_c4,inverse(multiply(sk_c3,sk_c4))) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_106814,c_18258]) ).
tcf(c_106868,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106813,c_741]) ).
tcf(c_106871,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106812,c_741]) ).
tcf(c_106874,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106811,c_741]) ).
tcf(c_106877,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106810,c_741]) ).
tcf(c_106880,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106809,c_741]) ).
tcf(c_106883,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106808,c_741]) ).
tcf(c_106886,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106807,c_741]) ).
tcf(c_106889,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106806,c_741]) ).
tcf(c_106892,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106805,c_741]) ).
tcf(c_106895,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106804,c_741]) ).
tcf(c_106898,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106803,c_741]) ).
tcf(c_106901,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_27) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106802,c_741]) ).
tcf(c_106904,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106801,c_741]) ).
tcf(c_106907,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106800,c_741]) ).
tcf(c_106910,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106799,c_741]) ).
tcf(c_106913,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106798,c_741]) ).
tcf(c_106916,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106797,c_741]) ).
tcf(c_106919,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106796,c_741]) ).
tcf(c_106922,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106795,c_741]) ).
tcf(c_106925,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106794,c_741]) ).
tcf(c_106928,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_22) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106793,c_741]) ).
tcf(c_106931,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_22) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106792,c_741]) ).
tcf(c_106934,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_22) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106791,c_741]) ).
tcf(c_106937,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_22) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106790,c_741]) ).
tcf(c_106940,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_22) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106789,c_741]) ).
tcf(c_106943,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106788,c_741]) ).
tcf(c_106946,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106787,c_741]) ).
tcf(c_106949,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106786,c_741]) ).
tcf(c_106952,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106785,c_741]) ).
tcf(c_106955,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106784,c_741]) ).
tcf(c_106958,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106783,c_741]) ).
tcf(c_106961,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106782,c_741]) ).
tcf(c_106964,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106781,c_741]) ).
tcf(c_106967,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106780,c_741]) ).
tcf(c_106970,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106779,c_741]) ).
tcf(c_106973,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106778,c_741]) ).
tcf(c_106976,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106777,c_741]) ).
tcf(c_106979,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106776,c_741]) ).
tcf(c_106982,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_29) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_106775,c_741]) ).
tcf(c_106985,plain,
multiply(sk_c3,multiply(inverse(multiply(sk_c9,sk_c3)),iPr_def_18)) = sk_c11,
inference(light_normalisation,[status(thm)],[c_106854,c_45468]) ).
tcf(c_107007,plain,
! [X0: $i] : multiply(sk_c3,multiply(inverse(multiply(multiply(X0,sk_c8),sk_c3)),X0)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_106858,c_45468]) ).
tcf(c_107008,plain,
! [X0: $i] : multiply(sk_c3,multiply(inverse(multiply(multiply(X0,sk_c4),sk_c3)),X0)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_106857,c_45468]) ).
tcf(c_123579,plain,
multiply(inverse(identity),inverse(sk_c5)) = iPr_def_21,
inference(superposition,[status(thm)],[c_114,c_47774]) ).
tcf(c_123580,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c5))),multiply(X0,X1)) = iPr_def_21,
inference(superposition,[status(thm)],[c_115,c_47774]) ).
tcf(c_123581,plain,
multiply(inverse(identity),iPr_def_21) = iPr_def_21,
inference(superposition,[status(thm)],[c_1353,c_47774]) ).
tcf(c_123582,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c5),iPr_def_29) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26217,c_47774]) ).
tcf(c_123583,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c5),iPr_def_29) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26153,c_47774]) ).
tcf(c_123584,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c5),iPr_def_29) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26096,c_47774]) ).
tcf(c_123585,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c5),iPr_def_29) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_25674,c_47774]) ).
tcf(c_123586,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_29) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24267,c_47774]) ).
tcf(c_123587,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c5),iPr_def_29) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24189,c_47774]) ).
tcf(c_123588,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c5),iPr_def_29) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24132,c_47774]) ).
tcf(c_123589,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c5),iPr_def_29) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24075,c_47774]) ).
tcf(c_123590,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c5),iPr_def_29) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_23853,c_47774]) ).
tcf(c_123591,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_31769,c_47774]) ).
tcf(c_123592,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c5),iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_18422,c_47774]) ).
tcf(c_123593,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_18407,c_47774]) ).
tcf(c_123594,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_18382,c_47774]) ).
tcf(c_123595,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_18367,c_47774]) ).
tcf(c_123596,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_32025,c_47774]) ).
tcf(c_123601,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_91878,c_47774]) ).
tcf(c_123602,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_87051,c_47774]) ).
tcf(c_123603,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_85601,c_47774]) ).
tcf(c_123604,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28511,c_47774]) ).
tcf(c_123605,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_20930,c_47774]) ).
tcf(c_123606,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_20895,c_47774]) ).
tcf(c_123607,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_20860,c_47774]) ).
tcf(c_123608,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_20819,c_47774]) ).
tcf(c_123609,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95337,c_47774]) ).
tcf(c_123610,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_93859,c_47774]) ).
tcf(c_123611,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_90219,c_47774]) ).
tcf(c_123612,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_30868,c_47774]) ).
tcf(c_123613,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_30745,c_47774]) ).
tcf(c_123614,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_30604,c_47774]) ).
tcf(c_123615,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_30451,c_47774]) ).
tcf(c_123616,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_29976,c_47774]) ).
tcf(c_123617,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_29360,c_47774]) ).
tcf(c_123618,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_27039,c_47774]) ).
tcf(c_123619,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26906,c_47774]) ).
tcf(c_123620,plain,
( ( identity = iPr_def_20 )
| ( multiply(inverse(sk_c5),iPr_def_27) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_26808,c_47774]) ).
tcf(c_123621,plain,
multiply(inverse(iPr_def_23),inverse(multiply(sk_c5,sk_c4))) = iPr_def_21,
inference(superposition,[status(thm)],[c_47770,c_47774]) ).
tcf(c_123622,plain,
multiply(inverse(iPr_def_17),inverse(multiply(sk_c5,sk_c8))) = iPr_def_21,
inference(superposition,[status(thm)],[c_47771,c_47774]) ).
tcf(c_123623,plain,
multiply(inverse(iPr_def_16),inverse(multiply(sk_c5,sk_c7))) = iPr_def_21,
inference(superposition,[status(thm)],[c_47772,c_47774]) ).
tcf(c_123624,plain,
multiply(inverse(iPr_def_25),inverse(multiply(sk_c5,sk_c3))) = iPr_def_21,
inference(superposition,[status(thm)],[c_47773,c_47774]) ).
tcf(c_123626,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_21 )
| ( inverse(inverse(multiply(sk_c12,sk_c5))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_47774,c_749]) ).
tcf(c_123627,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sk_c8))),iPr_def_21) = iPr_def_17,
inference(superposition,[status(thm)],[c_47774,c_101376]) ).
tcf(c_123628,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c5)),multiply(X0,sk_c4))),iPr_def_21) = iPr_def_23,
inference(superposition,[status(thm)],[c_47774,c_95668]) ).
tcf(c_123629,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_21),multiply(inverse(multiply(X0,sk_c5)),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_47774,c_15772]) ).
tcf(c_123630,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c5))),iPr_def_21) = X0,
inference(superposition,[status(thm)],[c_47774,c_15741]) ).
tcf(c_123632,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c5)))),multiply(X0,iPr_def_21)) = X1,
inference(superposition,[status(thm)],[c_47774,c_15772]) ).
tcf(c_123633,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(multiply(X0,X1),sk_c5)),X0)),iPr_def_21) = X1,
inference(superposition,[status(thm)],[c_47774,c_15772]) ).
tcf(c_123634,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c11) != sk_c12 )
| ( multiply(X0,inverse(X0)) != sk_c12 )
| ( inverse(inverse(multiply(inverse(X0),sk_c5))) != iPr_def_21 )
| ( inverse(inverse(inverse(multiply(inverse(X0),sk_c5)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_47774,c_747]) ).
tcf(c_123635,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_18,sk_c5)),sk_c9)),iPr_def_21) = sk_c11,
inference(superposition,[status(thm)],[c_47774,c_47380]) ).
tcf(c_123636,plain,
inverse(multiply(identity,sk_c5)) = iPr_def_21,
inference(superposition,[status(thm)],[c_47774,c_16791]) ).
tcf(c_123637,plain,
multiply(inverse(iPr_def_21),inverse(multiply(sk_c4,sk_c5))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47774,c_47770]) ).
tcf(c_123638,plain,
multiply(inverse(iPr_def_21),inverse(multiply(sk_c5,sk_c5))) = iPr_def_21,
inference(superposition,[status(thm)],[c_47774,c_47774]) ).
tcf(c_123639,plain,
multiply(inverse(iPr_def_21),inverse(multiply(sk_c8,sk_c5))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47774,c_47771]) ).
tcf(c_123640,plain,
multiply(inverse(iPr_def_21),inverse(multiply(sk_c7,sk_c5))) = iPr_def_16,
inference(superposition,[status(thm)],[c_47774,c_47772]) ).
tcf(c_123641,plain,
multiply(inverse(iPr_def_21),inverse(multiply(sk_c3,sk_c5))) = iPr_def_25,
inference(superposition,[status(thm)],[c_47774,c_47773]) ).
tcf(c_123642,plain,
multiply(inverse(iPr_def_21),multiply(inverse(multiply(sk_c9,sk_c5)),iPr_def_18)) = sk_c11,
inference(superposition,[status(thm)],[c_47774,c_47380]) ).
tcf(c_123643,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,inverse(multiply(sk_c4,sk_c5)))) = iPr_def_23,
inference(superposition,[status(thm)],[c_47774,c_95668]) ).
tcf(c_123644,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,inverse(multiply(sk_c8,sk_c5)))) = iPr_def_17,
inference(superposition,[status(thm)],[c_47774,c_101376]) ).
tcf(c_123645,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(inverse(multiply(multiply(X0,sk_c4),sk_c5)),X0)) = iPr_def_23,
inference(superposition,[status(thm)],[c_47774,c_95668]) ).
tcf(c_123646,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(inverse(multiply(multiply(X0,sk_c8),sk_c5)),X0)) = iPr_def_17,
inference(superposition,[status(thm)],[c_47774,c_101376]) ).
tcf(c_123647,plain,
multiply(identity,iPr_def_21) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_123581,c_16822]) ).
tcf(c_123649,plain,
multiply(sk_c5,inverse(multiply(sk_c3,sk_c5))) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_123641,c_18552]) ).
tcf(c_123650,plain,
multiply(sk_c5,inverse(multiply(sk_c7,sk_c5))) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_123640,c_18552]) ).
tcf(c_123651,plain,
multiply(sk_c5,inverse(multiply(sk_c8,sk_c5))) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_123639,c_18552]) ).
tcf(c_123652,plain,
multiply(sk_c5,inverse(multiply(sk_c5,sk_c5))) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_123638,c_18552]) ).
tcf(c_123653,plain,
multiply(sk_c5,inverse(multiply(sk_c4,sk_c5))) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_123637,c_18552]) ).
tcf(c_123654,plain,
multiply(sk_c3,inverse(multiply(sk_c5,sk_c3))) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_123624,c_45468]) ).
tcf(c_123655,plain,
multiply(sk_c7,inverse(multiply(sk_c5,sk_c7))) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_123623,c_23140]) ).
tcf(c_123656,plain,
multiply(sk_c8,inverse(multiply(sk_c5,sk_c8))) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_123622,c_21718]) ).
tcf(c_123657,plain,
multiply(sk_c4,inverse(multiply(sk_c5,sk_c4))) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_123621,c_18258]) ).
tcf(c_123658,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123620,c_737]) ).
tcf(c_123661,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123619,c_737]) ).
tcf(c_123664,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123618,c_737]) ).
tcf(c_123667,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123617,c_737]) ).
tcf(c_123670,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123616,c_737]) ).
tcf(c_123673,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123615,c_737]) ).
tcf(c_123676,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123614,c_737]) ).
tcf(c_123679,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123613,c_737]) ).
tcf(c_123682,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123612,c_737]) ).
tcf(c_123685,plain,
( ( sk_c12 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123611,c_737]) ).
tcf(c_123688,plain,
( ( sk_c12 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123610,c_737]) ).
tcf(c_123691,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123609,c_737]) ).
tcf(c_123694,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123608,c_737]) ).
tcf(c_123697,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123607,c_737]) ).
tcf(c_123700,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123606,c_737]) ).
tcf(c_123703,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123605,c_737]) ).
tcf(c_123706,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123604,c_737]) ).
tcf(c_123709,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123603,c_737]) ).
tcf(c_123712,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123602,c_737]) ).
tcf(c_123715,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123601,c_737]) ).
tcf(c_123718,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123596,c_737,c_7196]) ).
tcf(c_123721,plain,
( ( iPr_def_26 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123595,c_737]) ).
tcf(c_123724,plain,
( ( iPr_def_15 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123594,c_737]) ).
tcf(c_123727,plain,
( ( iPr_def_25 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123593,c_737]) ).
tcf(c_123730,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123592,c_737]) ).
tcf(c_123733,plain,
( ( iPr_def_27 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123591,c_737]) ).
tcf(c_123736,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_29) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123590,c_737]) ).
tcf(c_123739,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_29) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123589,c_737]) ).
tcf(c_123742,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_21,iPr_def_29) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123588,c_737]) ).
tcf(c_123745,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_29) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123587,c_737]) ).
tcf(c_123748,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_29) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123586,c_737]) ).
tcf(c_123751,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_21,iPr_def_29) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123585,c_737]) ).
tcf(c_123754,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_29) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123584,c_737]) ).
tcf(c_123757,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_29) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123583,c_737]) ).
tcf(c_123760,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_29) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_123582,c_737]) ).
tcf(c_123763,plain,
multiply(sk_c5,multiply(inverse(multiply(sk_c9,sk_c5)),iPr_def_18)) = sk_c11,
inference(light_normalisation,[status(thm)],[c_123642,c_18552]) ).
tcf(c_123764,plain,
! [X0: $i] : multiply(sk_c5,multiply(inverse(multiply(multiply(X0,sk_c8),sk_c5)),X0)) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_123646,c_18552]) ).
tcf(c_123765,plain,
! [X0: $i] : multiply(sk_c5,multiply(inverse(multiply(multiply(X0,sk_c4),sk_c5)),X0)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_123645,c_18552]) ).
tcf(c_134431,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_123765,c_123764,c_123763,c_123760,c_123757,c_123754,c_123751,c_123748,c_123745,c_123742,c_123739,c_123736,c_123733,c_123730,c_123727,c_123724,c_123721,c_123718,c_123715,c_123712,c_123709,c_123706,c_123703,c_123700,c_123697,c_123694,c_123691,c_123688,c_123685,c_123682,c_123679,c_123676,c_123673,c_123670,c_123667,c_123664,c_123661,c_123658,c_123657,c_123656,c_123655,c_123654,c_123653,c_123652,c_123651,c_123650,c_123649,c_123646,c_123645,c_123644,c_123643,c_123642,c_123641,c_123640,c_123639,c_123637,c_123635,c_123634,c_123633,c_123632,c_123630,c_123629,c_123628,c_123627,c_123626,c_123638,c_123624,c_123623,c_123622,c_123621,c_123620,c_123619,c_123618,c_123617,c_123616,c_123615,c_123614,c_123613,c_123612,c_123611,c_123610,c_123609,c_123608,c_123607,c_123606,c_123605,c_123604,c_123603,c_123602,c_123601,c_123596,c_123595,c_123594,c_123593,c_123592,c_123591,c_123590,c_123589,c_123588,c_123587,c_123586,c_123585,c_123584,c_123583,c_123582,c_123581,c_123580,c_123579,c_123636,c_107008,c_107007,c_106985,c_106982,c_106979,c_106976,c_106973,c_106970,c_106967,c_106964,c_106961,c_106958,c_106955,c_106952,c_106949,c_106946,c_106943,c_106940,c_106937,c_106934,c_106931,c_106928,c_106925,c_106922,c_106919,c_106916,c_106913,c_106910,c_106907,c_106904,c_106901,c_106898,c_106895,c_106892,c_106889,c_106886,c_106883,c_106880,c_106877,c_106874,c_106871,c_106868,c_106867,c_106866,c_106865,c_106864,c_106863,c_106862,c_106861,c_106858,c_106857,c_106856,c_106855,c_106854,c_106852,c_106851,c_106850,c_106848,c_106847,c_106846,c_106845,c_106843,c_106842,c_106841,c_106840,c_106839,c_106838,c_106837,c_106836,c_106835,c_106834,c_106833,c_106832,c_106831,c_106830,c_106829,c_106828,c_106827,c_106826,c_106825,c_106824,c_106823,c_106822,c_106821,c_106820,c_106819,c_106818,c_106853,c_106816,c_106815,c_106814,c_106813,c_106812,c_106811,c_106810,c_106809,c_106808,c_106807,c_106806,c_106805,c_106804,c_106803,c_106802,c_106801,c_106800,c_106799,c_106798,c_106797,c_106796,c_106795,c_106794,c_106793,c_106792,c_106791,c_106790,c_106789,c_106788,c_106787,c_106786,c_106785,c_106784,c_106783,c_106782,c_106781,c_106780,c_106779,c_106778,c_106777,c_106776,c_106775,c_106774,c_106773,c_106772,c_106849,c_104731,c_104382,c_104379,c_104376,c_104373,c_104370,c_104367,c_103930,c_103929,c_103928,c_103927,c_103926,c_103925,c_103922,c_103919,c_103916,c_103913,c_103910,c_103907,c_103904,c_103901,c_103898,c_103895,c_103892,c_103889,c_103886,c_103883,c_103880,c_103877,c_103874,c_103871,c_103867,c_103866,c_103865,c_103864,c_103863,c_103862,c_103861,c_103860,c_103855,c_103853,c_103852,c_103851,c_103832,c_103831,c_103830,c_103829,c_103828,c_103827,c_103826,c_103824,c_103823,c_103822,c_103821,c_103820,c_103819,c_103818,c_103817,c_103816,c_103815,c_103814,c_103813,c_103812,c_103811,c_103810,c_103809,c_103808,c_103807,c_103806,c_103805,c_103804,c_103803,c_103802,c_103801,c_103800,c_103799,c_103798,c_103797,c_103796,c_103795,c_103794,c_103793,c_103792,c_103791,c_103790,c_103789,c_103788,c_103787,c_103786,c_103785,c_103784,c_103783,c_103782,c_103781,c_103780,c_103779,c_103778,c_103777,c_103776,c_103775,c_103774,c_103773,c_103772,c_103771,c_103770,c_103769,c_103768,c_103767,c_103766,c_103765,c_103764,c_103763,c_103762,c_103761,c_103760,c_103759,c_103758,c_103757,c_103756,c_103755,c_103754,c_103753,c_103752,c_103751,c_103750,c_103749,c_103748,c_103747,c_103746,c_103745,c_103744,c_103743,c_103742,c_103741,c_103740,c_103739,c_103738,c_103737,c_103736,c_103735,c_103734,c_103733,c_103732,c_103731,c_103730,c_103729,c_103728,c_103727,c_103726,c_103725,c_103724,c_103723,c_103722,c_103721,c_103720,c_103719,c_103718,c_103717,c_103716,c_103715,c_103714,c_103713,c_103712,c_103711,c_103710,c_103709,c_103708,c_103707,c_103706,c_103705,c_103704,c_103703,c_103702,c_103701,c_103700,c_103699,c_103698,c_103697,c_103696,c_103695,c_103694,c_103693,c_103692,c_103691,c_103690,c_103689,c_103688,c_103687,c_103686,c_103685,c_103684,c_103683,c_103682,c_103681,c_103680,c_103679,c_103678,c_103677,c_103676,c_103675,c_103674,c_103673,c_103672,c_103671,c_103670,c_103669,c_103668,c_103667,c_103666,c_103665,c_103664,c_103663,c_103662,c_103661,c_103660,c_103659,c_103658,c_103657,c_103656,c_103655,c_103654,c_103653,c_103652,c_103651,c_103650,c_103649,c_103648,c_103647,c_103646,c_103645,c_103644,c_103643,c_103642,c_103641,c_103640,c_103639,c_103638,c_103637,c_103636,c_103635,c_103634,c_103633,c_103632,c_103631,c_103630,c_103629,c_103628,c_103627,c_103626,c_103625,c_103624,c_103623,c_103622,c_103621,c_103620,c_103619,c_103618,c_103617,c_103616,c_103615,c_103614,c_103613,c_103612,c_103611,c_103610,c_103609,c_103608,c_103607,c_103606,c_103605,c_103604,c_103603,c_103602,c_103601,c_103600,c_103599,c_103598,c_103597,c_103596,c_103595,c_103594,c_103593,c_103592,c_103591,c_103590,c_103589,c_103588,c_103587,c_103586,c_103585,c_103584,c_103583,c_103582,c_103581,c_103580,c_103579,c_103578,c_103577,c_103576,c_103575,c_103574,c_103573,c_103572,c_103571,c_103570,c_103569,c_103568,c_103567,c_103566,c_103565,c_103564,c_103563,c_103562,c_103561,c_103560,c_103559,c_103558,c_103557,c_103556,c_103555,c_103554,c_103553,c_103552,c_103551,c_103550,c_103549,c_103548,c_103547,c_103546,c_103545,c_103544,c_103543,c_103542,c_103541,c_103540,c_103539,c_103538,c_103537,c_103536,c_103535,c_103534,c_103533,c_103532,c_103531,c_103530,c_103529,c_103528,c_103527,c_103526,c_103525,c_103524,c_103523,c_103522,c_103521,c_103520,c_103519,c_103518,c_103517,c_103516,c_103515,c_103514,c_103513,c_103512,c_103511,c_103510,c_103509,c_103508,c_103507,c_103506,c_103505,c_103504,c_103503,c_103502,c_103501,c_103500,c_103499,c_103498,c_103497,c_103496,c_103495,c_103494,c_103493,c_103492,c_103491,c_103490,c_103489,c_103488,c_103487,c_103486,c_103485,c_103484,c_103483,c_103482,c_103481,c_103480,c_103479,c_103478,c_103477,c_103476,c_103475,c_103474,c_103473,c_103472,c_103471,c_103470,c_103469,c_103468,c_103467,c_103466,c_103465,c_103464,c_103463,c_103462,c_103461,c_103460,c_103459,c_103458,c_103457,c_103456,c_103455,c_103454,c_103453,c_103452,c_103451,c_103450,c_103449,c_103448,c_103447,c_103446,c_103445,c_103444,c_103443,c_103442,c_103441,c_103440,c_103439,c_103438,c_103437,c_103436,c_103435,c_103434,c_103433,c_103432,c_103431,c_103430,c_103429,c_103428,c_103427,c_103426,c_103425,c_103424,c_103423,c_103422,c_103421,c_103420,c_103419,c_103418,c_103417,c_103416,c_103415,c_103414,c_103413,c_103412,c_103411,c_103410,c_103409,c_103408,c_103407,c_103406,c_103405,c_103404,c_103403,c_103402,c_103401,c_103400,c_103399,c_103398,c_103397,c_103396,c_103395,c_103394,c_103393,c_103392,c_103391,c_103390,c_103389,c_103388,c_103387,c_103386,c_103385,c_103384,c_103383,c_103382,c_103381,c_103380,c_103379,c_103378,c_103377,c_103376,c_103375,c_103374,c_103373,c_103372,c_103371,c_103370,c_103369,c_103368,c_103367,c_103366,c_103365,c_103364,c_103363,c_103362,c_103361,c_103360,c_103359,c_103358,c_103357,c_103356,c_103355,c_103354,c_103353,c_103352,c_103351,c_103350,c_103349,c_103348,c_103347,c_103346,c_103345,c_103344,c_103343,c_103342,c_103341,c_103340,c_103339,c_103338,c_103337,c_103336,c_103335,c_103334,c_103333,c_103332,c_103331,c_103330,c_103329,c_103328,c_103327,c_103326,c_103325,c_103324,c_103323,c_103322,c_103321,c_103320,c_103319,c_103318,c_103317,c_103316,c_103315,c_103314,c_103313,c_103311,c_103309,c_103307,c_103306,c_103304,c_103302,c_103300,c_103298,c_103297,c_103296,c_103295,c_103294,c_103293,c_103292,c_103291,c_103290,c_103289,c_103288,c_103287,c_103286,c_103285,c_103284,c_103283,c_103282,c_103281,c_103280,c_103279,c_103278,c_103277,c_103276,c_103275,c_103274,c_103273,c_103272,c_103271,c_103270,c_103269,c_103268,c_103267,c_103266,c_103265,c_103264,c_103263,c_103262,c_103261,c_103260,c_103259,c_103258,c_103257,c_103256,c_103255,c_103254,c_103253,c_103252,c_103251,c_103250,c_103249,c_103248,c_103247,c_103833,c_103244,c_103243,c_103242,c_103241,c_103240,c_103239,c_103238,c_103237,c_103236,c_103235,c_103234,c_103233,c_103232,c_103231,c_103230,c_103229,c_103228,c_103227,c_103226,c_103225,c_103224,c_103223,c_103222,c_103221,c_103220,c_103219,c_103218,c_103217,c_103216,c_103215,c_103214,c_103213,c_103212,c_103211,c_103210,c_103209,c_103208,c_103207,c_103206,c_103205,c_103204,c_103203,c_103202,c_103201,c_103200,c_103199,c_103198,c_103197,c_103196,c_103195,c_103194,c_103193,c_103192,c_103191,c_103190,c_103189,c_103188,c_103187,c_103186,c_103185,c_103184,c_103183,c_103182,c_103181,c_103180,c_103179,c_103178,c_103177,c_103176,c_103175,c_103174,c_103173,c_103172,c_103171,c_103170,c_103169,c_103168,c_103167,c_103166,c_103165,c_103164,c_103163,c_103162,c_103161,c_103160,c_103159,c_103158,c_103157,c_103156,c_103155,c_103154,c_103153,c_103152,c_103151,c_103150,c_103149,c_103148,c_103147,c_103146,c_103145,c_103144,c_103143,c_103142,c_103141,c_103140,c_103139,c_103138,c_103137,c_103136,c_103135,c_103134,c_103133,c_103132,c_103131,c_103130,c_103125,c_103100,c_103091,c_103090,c_103088,c_103087,c_103085,c_103082,c_103081,c_103075,c_102825,c_102824,c_102823,c_102821,c_102820,c_102819,c_102815,c_102814,c_102813,c_102812,c_102811,c_102810,c_102591,c_102590,c_102589,c_102588,c_102587,c_102586,c_102585,c_102582,c_102581,c_102580,c_102579,c_102578,c_102577,c_102576,c_101914,c_101907,c_101904,c_101901,c_101898,c_101895,c_101892,c_101889,c_101886,c_101883,c_101880,c_101877,c_101874,c_101871,c_101868,c_101865,c_101862,c_101859,c_101856,c_101853,c_101850,c_101847,c_101844,c_101841,c_101838,c_101835,c_101832,c_101829,c_101826,c_101823,c_101820,c_101817,c_101814,c_101811,c_101808,c_101805,c_101802,c_101799,c_101796,c_101793,c_101790,c_101789,c_101788,c_101787,c_101786,c_101785,c_101782,c_101781,c_101780,c_101778,c_101777,c_101775,c_101774,c_101773,c_101772,c_101770,c_101769,c_101768,c_101767,c_101765,c_101763,c_101761,c_101759,c_101757,c_101755,c_101779,c_101747,c_101746,c_101745,c_101744,c_101743,c_101742,c_101741,c_101740,c_101739,c_101738,c_101737,c_101736,c_101735,c_101734,c_101733,c_101732,c_101731,c_101730,c_101729,c_101728,c_101727,c_101726,c_101725,c_101724,c_10172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5,c_4374,c_4373,c_4361,c_4360,c_4284,c_4283,c_4282,c_4278,c_4277,c_4276,c_4275,c_4240,c_4239,c_4238,c_4226,c_4232,c_4188,c_4187,c_4186,c_4182,c_4181,c_4180,c_4131,c_4130,c_4129,c_4128,c_4127,c_4126,c_4122,c_4080,c_4079,c_4078,c_4074,c_4073,c_4024,c_4023,c_4022,c_4021,c_4020,c_4019,c_4016,c_3910,c_3909,c_3908,c_3907,c_3906,c_3905,c_3904,c_3903,c_3902,c_3901,c_3899,c_3898,c_3897,c_3896,c_3895,c_3894,c_3893,c_3892,c_3891,c_3890,c_3889,c_3900,c_3887,c_3886,c_3885,c_3884,c_3883,c_3882,c_3881,c_3880,c_3879,c_3878,c_3831,c_3827,c_3824,c_3820,c_3817,c_3816,c_3733,c_3732,c_3731,c_3730,c_3729,c_3728,c_3726,c_3725,c_3724,c_3723,c_3722,c_3721,c_3670,c_3664,c_3658,c_3652,c_3646,c_3640,c_3634,c_3628,c_3622,c_3621,c_3620,c_3619,c_3618,c_3617,c_3616,c_3615,c_3614,c_3613,c_3456,c_3449,c_3445,c_3444,c_3443,c_3442,c_3441,c_3440,c_3439,c_3438,c_3437,c_3436,c_3435,c_3434,c_3433,c_3432,c_3431,c_3430,c_3429,c_3351,c_3347,c_3343,c_3339,c_3338,c_3337,c_3336,c_3335,c_3334,c_3333,c_3332,c_3262,c_3258,c_3254,c_3250,c_3249,c_3248,c_3247,c_3246,c_3245,c_3244,c_3243,c_3184,c_3183,c_3182,c_3177,c_3176,c_3175,c_3137,c_3136,c_3135,c_3131,c_3130,c_3129,c_3128,c_3002,c_3001,c_3000,c_2999,c_2998,c_2997,c_2996,c_2995,c_2994,c_2993,c_2992,c_2991,c_2990,c_2989,c_2988,c_2987,c_2986,c_2920,c_2919,c_2918,c_2915,c_2913,c_2912,c_2911,c_2823,c_2822,c_2821,c_2819,c_2818,c_2817,c_2816,c_2815,c_2814,c_2784,c_2782,c_2781,c_2777,c_2722,c_2721,c_2720,c_2719,c_2718,c_2717,c_2716,c_2715,c_2714,c_2713,c_2694,c_2689,c_2688,c_2655,c_2653,c_2652,c_2651,c_2649,c_2619,c_2615,c_2617,c_2614,c_2572,c_2571,c_2570,c_2569,c_2568,c_2567,c_2566,c_2565,c_2564,c_2538,c_2537,c_2536,c_2460,c_2459,c_2458,c_2457,c_2456,c_2455,c_2454,c_2453,c_2452,c_2451,c_2450,c_2449,c_2448,c_2447,c_2446,c_2445,c_2444,c_2391,c_2390,c_2389,c_2388,c_2387,c_2386,c_2385,c_2384,c_106859,c_2363,c_2362,c_2361,c_95721,c_2341,c_2339,c_2338,c_2335,c_2319,c_2318,c_2317,c_2300,c_2295,c_2296,c_2278,c_2276,c_2275,c_101440,c_101783,c_2230,c_2229,c_2228,c_2227,c_2226,c_2225,c_2224,c_2223,c_2222,c_2218,c_2186,c_2184,c_2178,c_2177,c_2131,c_2130,c_2129,c_2124,c_2123,c_2122,c_2081,c_2080,c_2079,c_2078,c_2077,c_2076,c_2072,c_2069,c_2017,c_2016,c_2014,c_2011,c_2010,c_2008,c_2007,c_1941,c_1940,c_1939,c_1938,c_1937,c_1935,c_1934,c_1933,c_1932,c_1931,c_1930,c_1898,c_1896,c_1895,c_1893,c_1832,c_1831,c_1830,c_1829,c_1828,c_1827,c_1826,c_1825,c_1824,c_1823,c_1822,c_1821,c_1820,c_1797,c_1794,c_1764,c_1762,c_1761,c_1765,c_1763,c_1760,c_1734,c_1735,c_1733,c_1732,c_1718,c_1717,c_1716,c_1705,c_1704,c_1703,c_1637,c_1636,c_1635,c_1634,c_1633,c_1632,c_1631,c_1630,c_1629,c_1628,c_1627,c_1596,c_1595,c_1594,c_1583,c_1582,c_1581,c_1560,c_1558,c_1557,c_1556,c_1542,c_1541,c_1540,c_1530,c_1528,c_1513,c_1511,c_1510,c_1500,c_1484,c_1482,c_1460,c_1459,c_1458,c_1429,c_1428,c_1427,c_1426,c_1425,c_1424,c_1403,c_1402,c_1400,c_1374,c_1373,c_1372,c_1371,c_1370,c_1359,c_1358,c_1357,c_1356,c_1355,c_1354,c_1353,c_1352,c_1343,c_1342,c_1341,c_1340,c_1331,c_1330,c_1329,c_1328,c_1322,c_1321,c_1297,c_1296,c_1295,c_1294,c_1293,c_1292,c_1276,c_1275,c_1262,c_1263,c_1250,c_1251,c_1240,c_1231,c_1217,c_1216,c_1215,c_1203,c_1202,c_1197,c_1196,c_1184,c_1172,c_812,c_811,c_810,c_809,c_808,c_807,c_806,c_805,c_804,c_803,c_802,c_801,c_800,c_799,c_798,c_797,c_796,c_795,c_794,c_793,c_792,c_791,c_790,c_789,c_788,c_787,c_786,c_785,c_784,c_783,c_782,c_781,c_780,c_779,c_778,c_777,c_776,c_775,c_774,c_773,c_772,c_771,c_770,c_769,c_768,c_767,c_766,c_765,c_764,c_763,c_762,c_761,c_760,c_759,c_758,c_757,c_756,c_755,c_754,c_753,c_745,c_744,c_743,c_742,c_741,c_740,c_739,c_738,c_737,c_736,c_735,c_734,c_733,c_732,c_731,c_730,c_746,c_747,c_749,c_750,c_752,c_71162,c_115,c_114,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP254-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 14:16:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 38.07/7.92 % SZS status Started for theBenchmark.p
% 38.07/7.92 % SZS status Unsatisfiable for theBenchmark.p
% 38.07/7.92
% 38.07/7.92 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 38.07/7.92
% 38.07/7.92 % ------ iProver source info
% 38.07/7.92
% 38.07/7.92 % git: date: 2026-07-19 20:42:38 +0200
% 38.07/7.92 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 38.07/7.92 % git: non_committed_changes: false
% 38.07/7.92
% 38.07/7.92 % ------ Parsing...% successful
% 38.07/7.92
% 38.07/7.92
% 38.07/7.92 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 38.07/7.92
% 38.07/7.92 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 38.07/7.92
% 38.07/7.92 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e %
% 38.07/7.92
% 38.07/7.92 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 38.07/7.92 % ------ Proving...
% 38.07/7.92 % ------ Problem Properties
% 38.07/7.92
% 38.07/7.92 %
% 38.07/7.92 % clauses 84
% 38.07/7.92 % conjectures 65
% 38.07/7.92 % EPR 61
% 38.07/7.92 % Horn 23
% 38.07/7.92 % unary 19
% 38.07/7.92 % binary 60
% 38.07/7.92 % lits 157
% 38.07/7.92 % lits eq 149
% 38.07/7.92 % fd_pure 0
% 38.07/7.92 % fd_pseudo 0
% 38.07/7.92 % fd_cond 0
% 38.07/7.92 % fd_pseudo_cond 0
% 38.07/7.92 % AC symbols 0
% 38.07/7.92
% 38.07/7.92 % ------ Schedule dynamic 5 is on
% 38.07/7.92
% 38.07/7.92 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 38.07/7.92
% 38.07/7.92
% 38.07/7.92 % ------
% 38.07/7.92 % Current options:
% 38.07/7.92 % ------
% 38.07/7.92
% 38.07/7.92
% 38.07/7.92 %
% 38.07/7.92
% 38.07/7.92 % ------ Proving...
% 38.07/7.92 %
% 38.07/7.92
% 38.07/7.92 % SZS status Unsatisfiable for theBenchmark.p
% 38.07/7.92
% 38.07/7.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.18/8.20
% 50.18/8.20
%------------------------------------------------------------------------------