%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP240-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:32:26 PM UTC 2026
% Result : Unsatisfiable 25.49s 10.69s
% Output : CNFRefutation 35.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 70
% Syntax : Number of formulae : 816 ( 145 unt; 15 def)
% Number of atoms : 3369 (1794 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1712 ( 651 ~;1061 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 281 ( 0 sgn 281 !; 0 ?; 241 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c10 = inverse(sk_c4)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = inverse(sk_c5)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c10 = inverse(sk_c7)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c9
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = inverse(sk_c5)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f27]) ).
fof(f31,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c10 = inverse(sk_c7)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c5)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c10 = inverse(sk_c7)
| sk_c10 = multiply(sk_c1,sk_c9) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c10 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c10 = inverse(sk_c7)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c9
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c6 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c9
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f80,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c10,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(reorient_equations,[],[f83]) ).
fof(f99,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f100,plain,
( sk_c10 = inverse(sk_c7)
| sk_c3 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f101]) ).
fof(f105,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f106,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f105]) ).
fof(f107,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f108,plain,
( sk_c6 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f107]) ).
fof(f109,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f110,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f112,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f114,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f116,plain,
( sk_c10 = inverse(sk_c7)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(X7) != sk_c10
| multiply(X7,sk_c10) != X6
| multiply(sk_c10,X6) != sk_c9
| multiply(X5,sk_c10) != sk_c9
| inverse(X4) != X5
| multiply(X4,X5) != sk_c9
| multiply(X3,sk_c9) != sk_c10
| inverse(X3) != sk_c10
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != X1
| multiply(sk_c10,X1) != sk_c9
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c10
| inverse(sk_c9) != sk_c10
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
fof(f118,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sk_c10 != inverse(X7)
| multiply(X7,sk_c10) != X6
| sk_c9 != multiply(sk_c10,X6)
| sk_c9 != multiply(X5,sk_c10)
| inverse(X4) != X5
| sk_c9 != multiply(X4,X5)
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| sk_c10 != inverse(X2)
| multiply(X2,sk_c10) != X1
| sk_c9 != multiply(sk_c10,X1)
| inverse(X0) != sk_c9
| sk_c10 != multiply(X0,sk_c9)
| sk_c10 != inverse(sk_c9)
| inverse(sk_c10) != sk_c9 ),
inference(reorient_equations,[],[f117]) ).
fof(f119,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( sk_c10 != inverse(X7)
| multiply(X7,sk_c10) != X6
| sk_c9 != multiply(sk_c10,X6)
| sk_c9 != multiply(X5,sk_c10)
| inverse(X4) != X5
| sk_c9 != multiply(X4,X5)
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| sk_c10 != inverse(X2)
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| inverse(X0) != sk_c9
| sk_c10 != multiply(X0,sk_c9)
| sk_c10 != inverse(sk_c9)
| inverse(sk_c10) != sk_c9 ),
inference(equality_resolution,[],[f118]) ).
fof(f120,plain,
! [X2,X3,X0,X6,X7,X4] :
( sk_c10 != inverse(X7)
| multiply(X7,sk_c10) != X6
| sk_c9 != multiply(sk_c10,X6)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| sk_c10 != inverse(X2)
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| inverse(X0) != sk_c9
| sk_c10 != multiply(X0,sk_c9)
| sk_c10 != inverse(sk_c9)
| inverse(sk_c10) != sk_c9 ),
inference(equality_resolution,[],[f119]) ).
fof(f121,plain,
! [X2,X3,X0,X7,X4] :
( sk_c10 != inverse(X7)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| sk_c10 != inverse(X2)
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| inverse(X0) != sk_c9
| sk_c10 != multiply(X0,sk_c9)
| sk_c10 != inverse(sk_c9)
| inverse(sk_c10) != sk_c9 ),
inference(equality_resolution,[],[f120]) ).
tcf(c_109,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_110,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c5,sk_c6) = sk_c9 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c9 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c9) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_128,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_129,negated_conjecture,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_130,negated_conjecture,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c9 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_131,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_132,negated_conjecture,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c6,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_133,negated_conjecture,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_134,negated_conjecture,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_135,negated_conjecture,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_136,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_137,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_138,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c6) = sk_c9 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_139,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_140,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_141,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_142,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_143,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c7) = sk_c10 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_144,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_145,negated_conjecture,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_146,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c9 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_147,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_148,negated_conjecture,
( ( multiply(sk_c6,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_149,negated_conjecture,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_150,negated_conjecture,
( ( multiply(sk_c7,sk_c10) = sk_c8 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_151,negated_conjecture,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_159,negated_conjecture,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_160,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_162,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c9 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_163,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_164,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c6,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_165,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_166,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c8 ) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_167,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_168,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(sk_c9) != sk_c10 )
| ( inverse(sk_c10) != sk_c9 )
| ( inverse(X3) != sk_c10 )
| ( inverse(X2) != sk_c10 )
| ( inverse(X1) != sk_c10 )
| ( inverse(X0) != sk_c9 )
| ( multiply(X1,sk_c9) != sk_c10 )
| ( multiply(X0,sk_c9) != sk_c10 )
| ( multiply(inverse(X4),sk_c10) != sk_c9 )
| ( multiply(X4,inverse(X4)) != sk_c9 )
| ( multiply(sk_c10,multiply(X3,sk_c10)) != sk_c9 )
| ( multiply(sk_c10,multiply(X2,sk_c10)) != sk_c9 ) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_677,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_168]) ).
tcf(c_678,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c9) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_168]) ).
tcf(c_679,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(inverse(X0),sk_c10) != sk_c9 )
| ( multiply(X0,inverse(X0)) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_168]) ).
tcf(c_680,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c10 )
| ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_168]) ).
tcf(c_681,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c9) != sk_c10 )
| ( inverse(sk_c10) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_168]) ).
tcf(c_682,definition,
iPr_def_14 = inverse(sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_683,definition,
iPr_def_15 = inverse(sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_684,definition,
iPr_def_16 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_685,definition,
iPr_def_17 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_686,definition,
iPr_def_18 = multiply(sk_c7,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_687,definition,
iPr_def_19 = multiply(sk_c10,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_688,definition,
iPr_def_20 = multiply(sk_c6,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_689,definition,
iPr_def_21 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_690,definition,
iPr_def_22 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_691,definition,
iPr_def_23 = multiply(sk_c4,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_692,definition,
iPr_def_24 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_693,definition,
iPr_def_25 = multiply(sk_c2,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_694,definition,
iPr_def_26 = multiply(sk_c10,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_695,definition,
iPr_def_27 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_696,definition,
iPr_def_28 = multiply(sk_c1,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_697,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c10 )
| ( iPr_def_14 != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_681,c_683,c_682]) ).
tcf(c_699,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c10 )
| ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_680]) ).
tcf(c_700,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(inverse(X0),sk_c10) != sk_c9 )
| ( multiply(X0,inverse(X0)) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_679]) ).
tcf(c_701,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_678]) ).
tcf(c_702,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_677]) ).
tcf(c_703,negated_conjecture,
( ( iPr_def_17 = sk_c10 )
| ( iPr_def_16 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_167,c_685,c_684]) ).
tcf(c_704,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_166,c_686]) ).
tcf(c_705,negated_conjecture,
( ( iPr_def_19 = sk_c9 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_165,c_687]) ).
tcf(c_706,negated_conjecture,
( ( iPr_def_20 = sk_c9 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_164,c_688]) ).
tcf(c_707,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_163,c_689]) ).
tcf(c_708,negated_conjecture,
( ( iPr_def_22 = sk_c9 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_162,c_690]) ).
tcf(c_710,negated_conjecture,
( ( iPr_def_24 = sk_c10 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_160,c_692]) ).
tcf(c_711,negated_conjecture,
( ( iPr_def_25 = sk_c3 )
| ( iPr_def_16 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_159,c_693]) ).
tcf(c_719,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_16 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_151,c_694]) ).
tcf(c_720,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_150]) ).
tcf(c_721,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_149]) ).
tcf(c_722,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_148]) ).
tcf(c_723,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_21 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_147]) ).
tcf(c_724,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_22 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_146]) ).
tcf(c_725,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_145]) ).
tcf(c_726,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_24 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_727,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_16 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_143,c_695]) ).
tcf(c_728,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_729,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_141]) ).
tcf(c_730,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_140]) ).
tcf(c_731,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_21 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_732,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_22 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_138]) ).
tcf(c_733,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_137]) ).
tcf(c_734,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_24 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_136]) ).
tcf(c_735,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_16 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_135,c_696]) ).
tcf(c_736,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_737,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_738,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_739,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_21 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_131]) ).
tcf(c_740,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_22 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_741,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_742,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_24 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_743,negated_conjecture,
( ( iPr_def_16 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_127]) ).
tcf(c_744,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_126]) ).
tcf(c_745,negated_conjecture,
( ( iPr_def_19 = sk_c9 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_125]) ).
tcf(c_747,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_748,negated_conjecture,
( ( iPr_def_22 = sk_c9 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_749,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_750,negated_conjecture,
( ( iPr_def_24 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_751,negated_conjecture,
( ( iPr_def_16 = sk_c10 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_752,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_753,negated_conjecture,
( ( iPr_def_19 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_754,negated_conjecture,
( ( iPr_def_20 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_755,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_756,negated_conjecture,
( ( iPr_def_22 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_757,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_758,negated_conjecture,
( ( iPr_def_24 = sk_c10 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_759,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_761,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = inverse(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X2) = multiply(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_763,plain,
( ( inverse(sk_c10) = inverse(sk_c10) )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_761]) ).
tcf(c_765,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_1140,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_710,c_682]) ).
tcf(c_1199,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c8) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_710,c_687]) ).
tcf(c_1203,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_704,c_687]) ).
tcf(c_1214,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_707,c_688]) ).
tcf(c_1226,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_707,c_690]) ).
tcf(c_1229,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_708,c_691]) ).
tcf(c_1230,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_706,c_691]) ).
tcf(c_1231,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_705,c_691]) ).
tcf(c_1249,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,sk_c3) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_703,c_694]) ).
tcf(c_1286,plain,
multiply(iPr_def_14,sk_c10) = identity,
inference(superposition,[status(thm)],[c_682,c_110]) ).
tcf(c_1287,plain,
multiply(iPr_def_24,sk_c4) = identity,
inference(superposition,[status(thm)],[c_692,c_110]) ).
tcf(c_1288,plain,
multiply(iPr_def_21,sk_c5) = identity,
inference(superposition,[status(thm)],[c_689,c_110]) ).
tcf(c_1289,plain,
multiply(iPr_def_16,sk_c7) = identity,
inference(superposition,[status(thm)],[c_684,c_110]) ).
tcf(c_1290,plain,
multiply(iPr_def_15,sk_c9) = identity,
inference(superposition,[status(thm)],[c_683,c_110]) ).
tcf(c_1291,plain,
multiply(iPr_def_27,sk_c1) = identity,
inference(superposition,[status(thm)],[c_695,c_110]) ).
tcf(c_1292,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_685,c_110]) ).
tcf(c_1311,plain,
( ( sk_c10 = iPr_def_16 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_719,c_683]) ).
tcf(c_1334,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_720,c_687]) ).
tcf(c_1365,plain,
! [X0: $i] :
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != X0 )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_1368,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_1397,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_1398,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_1406,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_1407,plain,
( ( sk_c10 = sk_c9 )
| ( sk_c9 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_1408,plain,
( ( sk_c9 = iPr_def_19 )
| ( iPr_def_19 != sk_c9 )
| ( sk_c9 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1397]) ).
tcf(c_1409,plain,
( ( sk_c9 = iPr_def_20 )
| ( iPr_def_20 != sk_c9 )
| ( sk_c9 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1397]) ).
tcf(c_1410,plain,
( ( sk_c9 = iPr_def_22 )
| ( iPr_def_22 != sk_c9 )
| ( sk_c9 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1397]) ).
tcf(c_1416,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_723,c_690]) ).
tcf(c_1417,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_723,c_688]) ).
tcf(c_1479,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_1480,plain,
( ( sk_c9 = sk_c10 )
| ( sk_c9 != iPr_def_19 )
| ( sk_c10 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1479]) ).
tcf(c_1484,plain,
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1365]) ).
tcf(c_1485,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_1521,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_1523,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != iPr_def_20 )
| ( X0 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_1525,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_1526,plain,
( ( sk_c10 = sk_c9 )
| ( sk_c9 != iPr_def_19 )
| ( sk_c10 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1525]) ).
tcf(c_1587,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_19 )
| ( iPr_def_19 != X0 )
| ( iPr_def_14 != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_1591,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_22 != X0 )
| ( iPr_def_14 != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_1598,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_1605,plain,
( ( sk_c9 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_728,c_687]) ).
tcf(c_1625,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_729,c_721]) ).
tcf(c_1659,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_1665,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_1715,plain,
( ( iPr_def_22 = sk_c9 )
| ( iPr_def_22 != iPr_def_22 )
| ( sk_c9 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1521]) ).
tcf(c_1716,plain,
iPr_def_22 = iPr_def_22,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_1729,plain,
( ( sk_c9 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_731,c_690]) ).
tcf(c_1730,plain,
( ( sk_c9 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_731,c_688]) ).
tcf(c_1738,plain,
iPr_def_19 = iPr_def_19,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_1815,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_732,c_724]) ).
tcf(c_1875,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_733,c_696]) ).
tcf(c_1917,plain,
( ( iPr_def_14 = iPr_def_19 )
| ( iPr_def_19 != iPr_def_14 )
| ( iPr_def_14 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1587]) ).
tcf(c_1918,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_1919,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_1941,plain,
( ( sk_c10 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_734,c_696]) ).
tcf(c_1973,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_22 != inverse(sk_c10) )
| ( iPr_def_14 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_1591]) ).
tcf(c_1981,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_14,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_735,c_1286]) ).
tcf(c_2018,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_19 = X0 )
| ( iPr_def_19 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_2019,plain,
! [X0: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != multiply(sk_c10,sk_c8) )
| ( X0 != multiply(sk_c10,sk_c8) ) ),
inference(instantiation,[status(thm)],[c_1598]) ).
tcf(c_2021,plain,
! [X0: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1598]) ).
tcf(c_2022,plain,
( ( sk_c10 = iPr_def_19 )
| ( iPr_def_19 != sk_c9 )
| ( sk_c10 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_2021]) ).
tcf(c_2026,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != multiply(sk_c6,sk_c10) )
| ( X0 != multiply(sk_c6,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_1659]) ).
tcf(c_2035,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_736,c_687]) ).
tcf(c_2039,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = X0 )
| ( iPr_def_22 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_2040,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != multiply(sk_c5,sk_c6) )
| ( X0 != multiply(sk_c5,sk_c6) ) ),
inference(instantiation,[status(thm)],[c_1665]) ).
tcf(c_2074,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_737,c_696]) ).
tcf(c_2132,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_22 != sk_c9 )
| ( iPr_def_14 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1591]) ).
tcf(c_2179,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_738,c_696]) ).
tcf(c_2249,plain,
multiply(identity,identity) = identity,
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_2254,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_2256,plain,
! [X0: $i,X1: $i] :
( ( X0 = identity )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_2290,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_739,c_690]) ).
tcf(c_2291,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_739,c_688]) ).
tcf(c_2317,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_740,c_737]) ).
tcf(c_2331,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_740,c_696]) ).
tcf(c_2422,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_741,c_1286]) ).
tcf(c_2424,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_741,c_693]) ).
tcf(c_2490,plain,
( ( sk_c10 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_742,c_1286]) ).
tcf(c_2492,plain,
( ( sk_c10 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_742,c_693]) ).
tcf(c_2576,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_743,c_687]) ).
tcf(c_2700,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_745,c_691]) ).
tcf(c_2701,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_745,c_683]) ).
tcf(c_2792,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_19 )
| ( iPr_def_19 != multiply(sk_c10,sk_c8) )
| ( multiply(X0,X1) != multiply(sk_c10,sk_c8) ) ),
inference(instantiation,[status(thm)],[c_2019]) ).
tcf(c_2793,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(sk_c10,sk_c8) )
| ( X1 != sk_c8 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_762]) ).
tcf(c_2891,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_20 )
| ( iPr_def_20 != multiply(sk_c6,sk_c10) )
| ( multiply(X0,X1) != multiply(sk_c6,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_2026]) ).
tcf(c_2892,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(sk_c6,sk_c10) )
| ( X1 != sk_c10 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_762]) ).
tcf(c_2909,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_747,c_690]) ).
tcf(c_2942,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_748,c_745]) ).
tcf(c_3017,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_22 )
| ( iPr_def_22 != multiply(sk_c5,sk_c6) )
| ( multiply(X0,X1) != multiply(sk_c5,sk_c6) ) ),
inference(instantiation,[status(thm)],[c_2040]) ).
tcf(c_3018,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(sk_c5,sk_c6) )
| ( X1 != sk_c6 )
| ( X0 != sk_c5 ) ),
inference(instantiation,[status(thm)],[c_762]) ).
tcf(c_3079,plain,
! [X0: $i] :
( ( iPr_def_19 = X0 )
| ( iPr_def_19 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_2018]) ).
tcf(c_3080,plain,
( ( iPr_def_19 = sk_c10 )
| ( iPr_def_19 != iPr_def_19 )
| ( sk_c10 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_3079]) ).
tcf(c_3097,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_749,c_693]) ).
tcf(c_3158,plain,
! [X0: $i] :
( ( iPr_def_22 = X0 )
| ( iPr_def_22 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_2039]) ).
tcf(c_3160,plain,
! [X0: $i] :
( ( iPr_def_22 = X0 )
| ( iPr_def_22 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_2039]) ).
tcf(c_3180,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_750,c_693]) ).
tcf(c_3184,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_750,c_682]) ).
tcf(c_3289,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_22 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_751,c_732]) ).
tcf(c_3291,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_751,c_730]) ).
tcf(c_3292,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_19 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_751,c_729]) ).
tcf(c_3293,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_751,c_727]) ).
tcf(c_3296,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_22 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_751,c_724]) ).
tcf(c_3297,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_20 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_751,c_722]) ).
tcf(c_3298,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_19 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_751,c_721]) ).
tcf(c_3299,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_751,c_719]) ).
tcf(c_3381,plain,
! [X0: $i,X1: $i] :
( ( identity = X0 )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_3463,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_752,c_687]) ).
tcf(c_3595,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1665]) ).
tcf(c_3741,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_755,c_690]) ).
tcf(c_3912,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_757,c_733]) ).
tcf(c_3919,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_757,c_725]) ).
tcf(c_4124,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c10 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_758,c_734]) ).
tcf(c_4131,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_758,c_726]) ).
tcf(c_4266,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_696,c_111]) ).
tcf(c_4268,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_693,c_111]) ).
tcf(c_4270,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_110,c_111]) ).
tcf(c_4272,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c10,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1286,c_111]) ).
tcf(c_4273,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1287,c_111]) ).
tcf(c_4274,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1288,c_111]) ).
tcf(c_4275,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1289,c_111]) ).
tcf(c_4276,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1290,c_111]) ).
tcf(c_4277,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1291,c_111]) ).
tcf(c_4278,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1292,c_111]) ).
tcf(c_4280,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4278,c_109]) ).
tcf(c_4281,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4277,c_109]) ).
tcf(c_4282,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4276,c_109]) ).
tcf(c_4283,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4275,c_109]) ).
tcf(c_4284,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4274,c_109]) ).
tcf(c_4285,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4273,c_109]) ).
tcf(c_4286,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4272,c_109]) ).
tcf(c_4324,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1919]) ).
tcf(c_4391,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != iPr_def_26 )
| ( X0 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_4426,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != iPr_def_27 )
| ( X0 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_4427,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != iPr_def_27 )
| ( X0 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_4428,plain,
( ( sk_c9 = sk_c10 )
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_4427]) ).
tcf(c_4562,plain,
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != iPr_def_14 )
| ( sk_c9 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1365]) ).
tcf(c_4564,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_4567,plain,
( ( sk_c10 = sk_c9 )
| ( sk_c9 != iPr_def_14 )
| ( sk_c10 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_4564]) ).
tcf(c_4841,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_24 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_758,c_697]) ).
tcf(c_4842,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_757,c_697]) ).
tcf(c_5127,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_23 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_691,c_701]) ).
tcf(c_5170,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_5127,c_692]) ).
tcf(c_5477,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_696,c_702]) ).
tcf(c_5491,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_740,c_702]) ).
tcf(c_5515,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_27 )
| ( sk_c10 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_5477,c_695]) ).
tcf(c_5652,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(sk_c10) != sk_c9 )
| ( multiply(sk_c10,iPr_def_22) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_5491]) ).
tcf(c_5691,plain,
multiply(identity,inverse(sk_c10)) = inverse(sk_c10),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_5693,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(sk_c10) )
| ( X1 != X0 )
| ( inverse(sk_c10) != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_5725,plain,
( ~ iPr_def_13
| ( inverse(sk_c7) != sk_c10 )
| ( multiply(sk_c10,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_686,c_699]) ).
tcf(c_5754,plain,
( ~ iPr_def_13
| ( sk_c10 != iPr_def_16 )
| ( multiply(sk_c10,iPr_def_18) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_5725,c_684]) ).
tcf(c_5951,plain,
( ~ iPr_def_12
| ( inverse(identity) != sk_c9 )
| ( multiply(inverse(identity),sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_109,c_700]) ).
tcf(c_5955,plain,
( ~ iPr_def_12
| ( multiply(sk_c5,iPr_def_21) != sk_c9 )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_689,c_700]) ).
tcf(c_5979,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_21,sk_c10) != sk_c9 )
| ( multiply(sk_c5,iPr_def_21) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_5955,c_689]) ).
tcf(c_6116,plain,
! [X0: $i] :
( ( multiply(X0,iPr_def_18) = multiply(sk_c10,sk_c8) )
| ( iPr_def_18 != sk_c8 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_2793]) ).
tcf(c_6117,plain,
( ( multiply(sk_c10,iPr_def_18) = multiply(sk_c10,sk_c8) )
| ( iPr_def_18 != sk_c8 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_6116]) ).
tcf(c_6156,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_14 != iPr_def_19 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1625,c_697]) ).
tcf(c_6267,plain,
! [X0: $i] :
( ( multiply(iPr_def_21,X0) = multiply(sk_c6,sk_c10) )
| ( iPr_def_21 != sk_c6 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_2892]) ).
tcf(c_6268,plain,
( ( multiply(iPr_def_21,sk_c10) = multiply(sk_c6,sk_c10) )
| ( iPr_def_21 != sk_c6 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_6267]) ).
tcf(c_6332,plain,
! [X0: $i] :
( ( multiply(sk_c5,X0) = multiply(sk_c5,sk_c6) )
| ( sk_c5 != sk_c5 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_3018]) ).
tcf(c_6333,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_6517,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_3381]) ).
tcf(c_6528,plain,
( ( iPr_def_22 = iPr_def_19 )
| ( iPr_def_22 != iPr_def_22 )
| ( iPr_def_19 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_3160]) ).
tcf(c_6531,plain,
! [X0: $i] :
( ( iPr_def_19 = X0 )
| ( iPr_def_19 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_2018]) ).
tcf(c_6532,plain,
! [X0: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1598]) ).
tcf(c_6585,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1815,c_1625]) ).
tcf(c_7303,plain,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_26 != iPr_def_26 )
| ( sk_c9 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_4391]) ).
tcf(c_7304,plain,
iPr_def_26 = iPr_def_26,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_7808,plain,
! [X0: $i] :
( ( multiply(X0,iPr_def_18) = iPr_def_19 )
| ( iPr_def_19 != multiply(sk_c10,sk_c8) )
| ( multiply(X0,iPr_def_18) != multiply(sk_c10,sk_c8) ) ),
inference(instantiation,[status(thm)],[c_2792]) ).
tcf(c_7809,plain,
( ( multiply(sk_c10,iPr_def_18) = iPr_def_19 )
| ( iPr_def_19 != multiply(sk_c10,sk_c8) )
| ( multiply(sk_c10,iPr_def_18) != multiply(sk_c10,sk_c8) ) ),
inference(instantiation,[status(thm)],[c_7808]) ).
tcf(c_7813,plain,
! [X0: $i] :
( ( multiply(iPr_def_21,X0) = iPr_def_20 )
| ( iPr_def_20 != multiply(sk_c6,sk_c10) )
| ( multiply(iPr_def_21,X0) != multiply(sk_c6,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_2891]) ).
tcf(c_7814,plain,
( ( multiply(iPr_def_21,sk_c10) = iPr_def_20 )
| ( iPr_def_20 != multiply(sk_c6,sk_c10) )
| ( multiply(iPr_def_21,sk_c10) != multiply(sk_c6,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_7813]) ).
tcf(c_7864,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2942,c_2317]) ).
tcf(c_8935,plain,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_27 != iPr_def_27 )
| ( sk_c9 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_4426]) ).
tcf(c_8936,plain,
iPr_def_27 = iPr_def_27,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_9694,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_26 != sk_c9 )
| ( iPr_def_14 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_4324]) ).
tcf(c_9695,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( iPr_def_27 != sk_c9 )
| ( iPr_def_14 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_4324]) ).
tcf(c_10643,plain,
multiply(iPr_def_17,iPr_def_25) = sk_c10,
inference(superposition,[status(thm)],[c_693,c_4280]) ).
tcf(c_10745,plain,
multiply(iPr_def_27,iPr_def_28) = sk_c9,
inference(superposition,[status(thm)],[c_696,c_4281]) ).
tcf(c_10961,plain,
multiply(iPr_def_16,iPr_def_18) = sk_c10,
inference(superposition,[status(thm)],[c_686,c_4283]) ).
tcf(c_10974,plain,
multiply(iPr_def_24,iPr_def_23) = sk_c9,
inference(superposition,[status(thm)],[c_691,c_4285]) ).
tcf(c_11126,plain,
multiply(iPr_def_14,iPr_def_19) = sk_c8,
inference(superposition,[status(thm)],[c_687,c_4286]) ).
tcf(c_11127,plain,
multiply(iPr_def_14,iPr_def_26) = sk_c3,
inference(superposition,[status(thm)],[c_694,c_4286]) ).
tcf(c_11754,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c8,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_1199,c_111]) ).
tcf(c_12508,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1229,c_4285]) ).
tcf(c_12509,plain,
( ( sk_c9 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_12508,c_10974]) ).
tcf(c_12521,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1230,c_4285]) ).
tcf(c_12522,plain,
( ( sk_c9 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_12521,c_10974]) ).
tcf(c_12652,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1231,c_4285]) ).
tcf(c_12653,plain,
( ( sk_c9 = iPr_def_19 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_12652,c_10974]) ).
tcf(c_12733,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_711,c_1249]) ).
tcf(c_12735,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_12733,c_10643]) ).
tcf(c_13056,plain,
( ( sk_c10 = iPr_def_16 )
| ( multiply(iPr_def_14,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_12735,c_1286]) ).
tcf(c_13062,plain,
( ( sk_c10 = iPr_def_16 )
| ( inverse(iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12735,c_682]) ).
tcf(c_13082,plain,
( ( sk_c3 = identity )
| ( sk_c10 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_13056,c_11127]) ).
tcf(c_15281,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3299,c_1334]) ).
tcf(c_15389,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_15281,c_10961]) ).
tcf(c_16644,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3293,c_1605]) ).
tcf(c_16747,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_27 )
| ( sk_c10 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_16644,c_10961]) ).
tcf(c_17029,plain,
( ( identity = multiply(identity,identity) )
| ( identity != identity )
| ( multiply(identity,identity) != identity ) ),
inference(instantiation,[status(thm)],[c_6517]) ).
tcf(c_17056,plain,
( ( identity = iPr_def_25 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_13082,c_711]) ).
tcf(c_17201,plain,
( ( identity = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_17056,c_686]) ).
tcf(c_17743,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != iPr_def_27 )
| ( X0 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_1919]) ).
tcf(c_18052,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_13062,c_1311]) ).
tcf(c_18365,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1875,c_4281]) ).
tcf(c_18366,plain,
( ( sk_c9 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_18365,c_10745]) ).
tcf(c_18420,plain,
( ( sk_c10 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1941,c_4281]) ).
tcf(c_18421,plain,
( ( sk_c9 = iPr_def_27 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_18420,c_10745]) ).
tcf(c_19492,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2074,c_4281]) ).
tcf(c_19493,plain,
( ( sk_c9 = iPr_def_19 )
| ( sk_c10 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_19492,c_10745]) ).
tcf(c_19522,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2179,c_4281]) ).
tcf(c_19523,plain,
( ( sk_c9 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_19522,c_10745]) ).
tcf(c_19888,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2331,c_4281]) ).
tcf(c_19889,plain,
( ( sk_c9 = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_19888,c_10745]) ).
tcf(c_20002,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2424,c_4280]) ).
tcf(c_20003,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_20002,c_10643]) ).
tcf(c_20421,plain,
( ( sk_c10 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2492,c_4280]) ).
tcf(c_20422,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_20421,c_10643]) ).
tcf(c_20529,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_18052,c_2035]) ).
tcf(c_20531,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c9 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_18052,c_1605]) ).
tcf(c_20546,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_18052,c_1203]) ).
tcf(c_20579,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_18052,c_686]) ).
tcf(c_20661,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_19 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_20546,c_10961]) ).
tcf(c_20693,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c9 = iPr_def_27 )
| ( sk_c10 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_20531,c_10961]) ).
tcf(c_20700,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_20529,c_10961]) ).
tcf(c_21247,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_744,c_2576]) ).
tcf(c_21254,plain,
( ( sk_c10 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_21247,c_10961]) ).
tcf(c_21366,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21254,c_743]) ).
tcf(c_21370,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_21254,c_1286]) ).
tcf(c_21376,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21254,c_682]) ).
tcf(c_21398,plain,
( ( sk_c8 = identity )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_21370,c_11126]) ).
tcf(c_21539,plain,
( ( multiply(sk_c5,iPr_def_21) = multiply(sk_c5,sk_c6) )
| ( iPr_def_21 != sk_c6 )
| ( sk_c5 != sk_c5 ) ),
inference(instantiation,[status(thm)],[c_6332]) ).
tcf(c_21557,plain,
! [X0: $i] :
( ( sk_c9 = identity )
| ( identity != X0 )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_21896,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c9 )
| ( sk_c9 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_22250,plain,
! [X0: $i] :
( ( X0 = inverse(sk_c10) )
| ( X0 != iPr_def_19 )
| ( inverse(sk_c10) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_5693]) ).
tcf(c_22251,plain,
( ( sk_c10 = inverse(sk_c10) )
| ( sk_c10 != iPr_def_19 )
| ( inverse(sk_c10) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_22250]) ).
tcf(c_22470,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21366,c_682]) ).
tcf(c_23223,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21376,c_2701]) ).
tcf(c_23720,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3097,c_4280]) ).
tcf(c_23721,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_23720,c_10643]) ).
tcf(c_23931,plain,
( ( identity = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21398,c_744]) ).
tcf(c_23932,plain,
( ( identity = iPr_def_18 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21398,c_736]) ).
tcf(c_24190,plain,
( ( identity = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_23931,c_682]) ).
tcf(c_24452,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3180,c_4280]) ).
tcf(c_24453,plain,
( ( sk_c10 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_24452,c_10643]) ).
tcf(c_24580,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3293,c_3463]) ).
tcf(c_24640,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c10 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_24580,c_10961]) ).
tcf(c_24942,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23223,c_742]) ).
tcf(c_24943,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23223,c_741]) ).
tcf(c_24951,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_23223,c_682]) ).
tcf(c_24952,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23223,c_710]) ).
tcf(c_25078,plain,
( ( iPr_def_22 = inverse(sk_c10) )
| ( iPr_def_22 != sk_c9 )
| ( inverse(sk_c10) != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_3158]) ).
tcf(c_26178,plain,
( ( sk_c9 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1485]) ).
tcf(c_26220,plain,
( ( identity = sk_c9 )
| ( identity != iPr_def_22 )
| ( sk_c9 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1521]) ).
tcf(c_26223,plain,
! [X0: $i] :
( ( X0 = identity )
| ( identity != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_2256]) ).
tcf(c_26224,plain,
( ( sk_c10 = identity )
| ( identity != sk_c9 )
| ( sk_c10 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_26223]) ).
tcf(c_26733,plain,
! [X0: $i] :
( ( X0 = identity )
| ( identity != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_2256]) ).
tcf(c_26735,plain,
( ( sk_c10 = identity )
| ( identity != iPr_def_19 )
| ( sk_c10 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_26733]) ).
tcf(c_27875,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_22 != iPr_def_19 )
| ( iPr_def_14 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_3595]) ).
tcf(c_27880,plain,
( ( iPr_def_14 = iPr_def_19 )
| ( iPr_def_19 != iPr_def_22 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1587]) ).
tcf(c_28631,plain,
( ( iPr_def_19 = iPr_def_14 )
| ( iPr_def_19 != iPr_def_22 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_6531]) ).
tcf(c_31760,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_3289,c_732,c_756,c_1398,c_1410,c_9695]) ).
tcf(c_31848,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_31760,c_702]) ).
tcf(c_31851,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31760,c_758]) ).
tcf(c_31965,plain,
( ( iPr_def_14 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(sk_c10) != sk_c9 )
| ( multiply(sk_c10,iPr_def_22) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_31848]) ).
tcf(c_32327,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_14 )
| ( iPr_def_19 != X0 )
| ( iPr_def_14 != X0 ) ),
inference(instantiation,[status(thm)],[c_2018]) ).
tcf(c_32328,plain,
( ( iPr_def_19 = iPr_def_14 )
| ( iPr_def_19 != sk_c10 )
| ( iPr_def_14 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_32327]) ).
tcf(c_32523,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_3291,c_730,c_754,c_1398,c_1409,c_9695]) ).
tcf(c_33259,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_3292,c_729,c_753,c_1398,c_1408,c_9695]) ).
tcf(c_33319,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_33259,c_31760]) ).
tcf(c_33465,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_3296,c_724,c_756,c_1398,c_1410,c_9694]) ).
tcf(c_33557,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_33465,c_702]) ).
tcf(c_33560,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33465,c_758]) ).
tcf(c_33659,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(sk_c10) != sk_c9 )
| ( multiply(sk_c10,iPr_def_22) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_33557]) ).
tcf(c_34083,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33319,c_6585]) ).
tcf(c_34390,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_3297,c_722,c_754,c_1398,c_1409,c_9694]) ).
tcf(c_34563,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_3298,c_721,c_753,c_1398,c_1408,c_9694]) ).
tcf(c_36603,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_4270,c_109]) ).
tcf(c_36701,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_109,c_36603]) ).
tcf(c_36702,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_110,c_36603]) ).
tcf(c_37005,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_4286,c_36603]) ).
tcf(c_37006,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_4285,c_36603]) ).
tcf(c_37007,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_4284,c_36603]) ).
tcf(c_37008,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4283,c_36603]) ).
tcf(c_37009,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_4282,c_36603]) ).
tcf(c_37010,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_4281,c_36603]) ).
tcf(c_37011,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_4280,c_36603]) ).
tcf(c_37101,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_36603,c_36603]) ).
tcf(c_39246,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_36702,c_37101]) ).
tcf(c_39276,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_39246,c_36701]) ).
tcf(c_40638,plain,
! [X0: $i] : multiply(sk_c10,multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_37005,c_36603]) ).
tcf(c_40639,plain,
multiply(sk_c10,identity) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_37005,c_39246]) ).
tcf(c_41335,plain,
inverse(iPr_def_14) = sk_c10,
inference(demodulation,[status(thm)],[c_40639,c_39246]) ).
tcf(c_41442,plain,
( ~ iPr_def_13
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_40638,c_699]) ).
tcf(c_41575,plain,
( ~ iPr_def_13
| ( sk_c10 != sk_c9 ) ),
inference(ground_joinability,[status(thm)],[c_41442,c_41335]) ).
tcf(c_41679,plain,
( ( identity = iPr_def_19 )
| ( iPr_def_19 != iPr_def_22 )
| ( identity != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_6532]) ).
tcf(c_42096,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_34563,c_41575]) ).
tcf(c_42099,plain,
( ( iPr_def_14 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_33259,c_41575]) ).
tcf(c_42140,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_751,c_41575]) ).
tcf(c_42144,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_740,c_41575]) ).
tcf(c_42147,plain,
( ( sk_c10 = iPr_def_24 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_734,c_41575]) ).
tcf(c_42151,plain,
( ( sk_c9 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_729,c_41575]) ).
tcf(c_42158,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_719,c_41575]) ).
tcf(c_42282,plain,
( ( multiply(sk_c5,iPr_def_21) = iPr_def_22 )
| ( iPr_def_22 != multiply(sk_c5,sk_c6) )
| ( multiply(sk_c5,iPr_def_21) != multiply(sk_c5,sk_c6) ) ),
inference(instantiation,[status(thm)],[c_3017]) ).
tcf(c_43399,plain,
! [X0: $i] :
( ( multiply(iPr_def_21,X0) = sk_c9 )
| ( sk_c9 != iPr_def_20 )
| ( multiply(iPr_def_21,X0) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_1523]) ).
tcf(c_43400,plain,
( ( multiply(iPr_def_21,sk_c10) = sk_c9 )
| ( sk_c9 != iPr_def_20 )
| ( multiply(iPr_def_21,sk_c10) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_43399]) ).
tcf(c_43968,plain,
! [X0: $i] :
( ( multiply(X0,iPr_def_18) = sk_c9 )
| ( sk_c9 != iPr_def_19 )
| ( multiply(X0,iPr_def_18) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1525]) ).
tcf(c_43969,plain,
( ( multiply(sk_c10,iPr_def_18) = sk_c9 )
| ( sk_c9 != iPr_def_19 )
| ( multiply(sk_c10,iPr_def_18) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_43968]) ).
tcf(c_44148,plain,
( ( sk_c10 = iPr_def_16 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_42140,c_12735,c_42158]) ).
tcf(c_44393,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_42144,c_2035,c_5754,c_19493,c_43969,c_44148]) ).
tcf(c_44403,plain,
( ( sk_c10 != iPr_def_27 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_42147,c_765,c_1407,c_1605,c_4428,c_5754,c_12735,c_41575,c_42158,c_42151,c_43969]) ).
tcf(c_44404,plain,
( ~ iPr_def_13
| ( sk_c10 != iPr_def_27 ) ),
inference(renaming,[status(thm)],[c_44403]) ).
tcf(c_44727,plain,
multiply(sk_c4,identity) = inverse(iPr_def_24),
inference(superposition,[status(thm)],[c_37006,c_39246]) ).
tcf(c_49557,plain,
inverse(iPr_def_24) = sk_c4,
inference(demodulation,[status(thm)],[c_44727,c_39246]) ).
tcf(c_49562,plain,
( ( sk_c4 = iPr_def_14 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_3184,c_49557]) ).
tcf(c_49563,plain,
( ( sk_c4 = iPr_def_14 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1140,c_49557]) ).
tcf(c_50378,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_49562,c_2700]) ).
tcf(c_50404,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_50378,c_11126]) ).
tcf(c_50469,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_49563,c_691]) ).
tcf(c_51067,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50404,c_21398]) ).
tcf(c_51538,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_51067,c_742]) ).
tcf(c_51539,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_51067,c_741]) ).
tcf(c_51547,plain,
( ( identity = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_51067,c_682]) ).
tcf(c_53483,plain,
multiply(sk_c5,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_37007,c_110]) ).
tcf(c_53500,plain,
( ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_3741,c_53483]) ).
tcf(c_53501,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_2909,c_53483]) ).
tcf(c_53502,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_2290,c_53483]) ).
tcf(c_53503,plain,
( ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1729,c_53483]) ).
tcf(c_53504,plain,
( ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_1416,c_53483]) ).
tcf(c_53505,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1226,c_53483]) ).
tcf(c_54323,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_53502,c_53501]) ).
tcf(c_54723,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_53503,c_53500]) ).
tcf(c_55170,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_53504,c_53500]) ).
tcf(c_55338,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_53505,c_53502]) ).
tcf(c_55875,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_27 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_54723,c_39246]) ).
tcf(c_55876,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_27 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_54723,c_109]) ).
tcf(c_55884,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_22) = sk_c10 ) ),
inference(instantiation,[status(thm)],[c_55875]) ).
tcf(c_55905,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_55170,c_39246]) ).
tcf(c_55906,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_55170,c_109]) ).
tcf(c_55914,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_22) = sk_c10 ) ),
inference(instantiation,[status(thm)],[c_55905]) ).
tcf(c_56016,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_55338,c_39246]) ).
tcf(c_56025,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_22) = sk_c10 ) ),
inference(instantiation,[status(thm)],[c_56016]) ).
tcf(c_56058,plain,
multiply(sk_c7,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_37008,c_110]) ).
tcf(c_56062,plain,
multiply(sk_c7,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_37008,c_39246]) ).
tcf(c_56097,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( identity = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_20579,c_56058]) ).
tcf(c_56098,plain,
( ( identity = iPr_def_25 )
| ( identity = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_17201,c_56058]) ).
tcf(c_56707,plain,
! [X0: $i] :
( ( identity = iPr_def_18 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56098,c_109]) ).
tcf(c_56854,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c9 )
| ( sk_c9 != iPr_def_14 )
| ( inverse(X0) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_21896]) ).
tcf(c_56855,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( sk_c9 != iPr_def_14 )
| ( inverse(sk_c10) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_56854]) ).
tcf(c_56970,plain,
inverse(iPr_def_16) = sk_c7,
inference(demodulation,[status(thm)],[c_56062,c_39246]) ).
tcf(c_57001,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_16,sk_c7) != sk_c9 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_56970,c_700]) ).
tcf(c_57005,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_18 )
| ( sk_c9 != identity ) ),
inference(light_normalisation,[status(thm)],[c_57001,c_686,c_1289,c_56970]) ).
tcf(c_57097,plain,
! [X0: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1598]) ).
tcf(c_60522,plain,
( ( sk_c9 = identity )
| ( identity != iPr_def_22 )
| ( sk_c9 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_21557]) ).
tcf(c_60531,plain,
( ( sk_c9 = identity )
| ( identity != iPr_def_14 )
| ( sk_c9 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_21557]) ).
tcf(c_64159,plain,
( ( multiply(sk_c5,iPr_def_21) = sk_c9 )
| ( sk_c9 != iPr_def_22 )
| ( multiply(sk_c5,iPr_def_21) != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1521]) ).
tcf(c_66314,plain,
multiply(sk_c9,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_37009,c_110]) ).
tcf(c_66317,plain,
! [X0: $i] : multiply(sk_c9,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_37009,c_36603]) ).
tcf(c_66318,plain,
multiply(sk_c9,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_37009,c_39246]) ).
tcf(c_66503,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_756,c_66314]) ).
tcf(c_66530,plain,
multiply(sk_c1,identity) = multiply(iPr_def_28,iPr_def_15),
inference(superposition,[status(thm)],[c_66314,c_4266]) ).
tcf(c_66741,plain,
inverse(iPr_def_15) = sk_c9,
inference(demodulation,[status(thm)],[c_66318,c_39246]) ).
tcf(c_66745,plain,
( ( identity = iPr_def_23 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_51547,c_66741]) ).
tcf(c_66746,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_24951,c_66741]) ).
tcf(c_66747,plain,
( ( identity = iPr_def_18 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_24190,c_66741]) ).
tcf(c_66748,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_22470,c_66741]) ).
tcf(c_66974,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_23 )
| ( inverse(iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_50469,c_702]) ).
tcf(c_66986,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_23 )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_66974,c_41335]) ).
tcf(c_67828,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_726,c_66317]) ).
tcf(c_67829,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_725,c_66317]) ).
tcf(c_68433,plain,
multiply(iPr_def_28,iPr_def_15) = sk_c1,
inference(demodulation,[status(thm)],[c_66530,c_39246]) ).
tcf(c_69573,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_66745,c_702]) ).
tcf(c_69582,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_66745,c_740]) ).
tcf(c_69732,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(sk_c10) != sk_c9 )
| ( multiply(sk_c10,iPr_def_14) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_69573]) ).
tcf(c_69934,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66746,c_33465]) ).
tcf(c_69937,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66746,c_31760]) ).
tcf(c_69993,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_66746,c_696]) ).
tcf(c_70965,plain,
! [X0: $i] :
( ( identity = iPr_def_18 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_66747,c_702]) ).
tcf(c_70967,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_18 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66747,c_697]) ).
tcf(c_71073,plain,
( ( identity = iPr_def_18 )
| ~ iPr_def_10
| ( inverse(sk_c10) != sk_c9 )
| ( multiply(sk_c10,iPr_def_14) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_70965]) ).
tcf(c_71231,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_66748,c_740]) ).
tcf(c_71955,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c9 )
| ( sk_c9 != identity )
| ( inverse(X0) != identity ) ),
inference(instantiation,[status(thm)],[c_21896]) ).
tcf(c_71956,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( sk_c9 != identity )
| ( inverse(sk_c10) != identity ) ),
inference(instantiation,[status(thm)],[c_71955]) ).
tcf(c_77403,plain,
multiply(sk_c1,iPr_def_27) = identity,
inference(superposition,[status(thm)],[c_37010,c_110]) ).
tcf(c_77407,plain,
multiply(sk_c1,identity) = inverse(iPr_def_27),
inference(superposition,[status(thm)],[c_37010,c_39246]) ).
tcf(c_78504,plain,
( ( inverse(sk_c10) = iPr_def_19 )
| ( iPr_def_19 != iPr_def_14 )
| ( inverse(sk_c10) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_57097]) ).
tcf(c_80673,plain,
inverse(iPr_def_27) = sk_c1,
inference(demodulation,[status(thm)],[c_77407,c_39246]) ).
tcf(c_85801,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_26 != iPr_def_27 )
| ( iPr_def_14 != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_17743]) ).
tcf(c_88050,plain,
multiply(sk_c2,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_37011,c_39246]) ).
tcf(c_88415,plain,
! [X0: $i] :
( ( iPr_def_15 = sk_c10 )
| ( iPr_def_15 != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_88416,plain,
( ( iPr_def_15 = sk_c10 )
| ( iPr_def_15 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88415]) ).
tcf(c_88417,plain,
iPr_def_15 = iPr_def_15,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_88418,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_88419,plain,
( ( iPr_def_15 = sk_c10 )
| ( iPr_def_15 != inverse(sk_c9) )
| ( sk_c10 != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_88415]) ).
tcf(c_88420,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_88423,plain,
! [X0: $i] :
( ( sk_c10 = inverse(sk_c9) )
| ( sk_c10 != X0 )
| ( inverse(sk_c9) != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_88428,plain,
! [X0: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != inverse(sk_c9) )
| ( X0 != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_88418]) ).
tcf(c_88429,plain,
! [X0: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88418]) ).
tcf(c_88432,plain,
( ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != inverse(sk_c9) )
| ( sk_c10 != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_88420]) ).
tcf(c_88435,plain,
! [X0: $i,X1: $i] :
( ( inverse(sk_c9) = X1 )
| ( X1 != X0 )
| ( inverse(sk_c9) != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_88436,plain,
! [X0: $i] :
( ( sk_c10 = inverse(sk_c9) )
| ( sk_c10 != inverse(X0) )
| ( inverse(sk_c9) != inverse(X0) ) ),
inference(instantiation,[status(thm)],[c_88423]) ).
tcf(c_88437,plain,
! [X0: $i] :
( ( inverse(sk_c9) = inverse(X0) )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_761]) ).
tcf(c_88438,plain,
( ( sk_c10 = inverse(sk_c9) )
| ( sk_c10 != inverse(sk_c10) )
| ( inverse(sk_c9) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_88436]) ).
tcf(c_88439,plain,
( ( inverse(sk_c9) = inverse(sk_c10) )
| ( sk_c9 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_88437]) ).
tcf(c_88443,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(sk_c9) )
| ( X1 != X0 )
| ( inverse(sk_c9) != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_88444,plain,
! [X0: $i] :
( ( iPr_def_15 = inverse(X0) )
| ( iPr_def_15 != inverse(sk_c9) )
| ( inverse(X0) != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_88428]) ).
tcf(c_88445,plain,
! [X0: $i] :
( ( inverse(X0) = inverse(sk_c9) )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_761]) ).
tcf(c_88446,plain,
( ( iPr_def_15 = inverse(sk_c10) )
| ( iPr_def_15 != inverse(sk_c9) )
| ( inverse(sk_c10) != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_88444]) ).
tcf(c_88447,plain,
( ( inverse(sk_c10) = inverse(sk_c9) )
| ( sk_c10 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_88445]) ).
tcf(c_88449,plain,
( ( iPr_def_15 = multiply(identity,iPr_def_15) )
| ( iPr_def_15 != iPr_def_15 )
| ( multiply(identity,iPr_def_15) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88429]) ).
tcf(c_88450,plain,
multiply(identity,iPr_def_15) = iPr_def_15,
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_88452,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_88461,plain,
! [X0: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != multiply(identity,iPr_def_15) )
| ( X0 != multiply(identity,iPr_def_15) ) ),
inference(instantiation,[status(thm)],[c_88418]) ).
tcf(c_88471,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != inverse(X1) )
| ( X0 != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_88418]) ).
tcf(c_88476,plain,
! [X0: $i] :
( ( inverse(sk_c9) = X0 )
| ( X0 != inverse(sk_c9) )
| ( inverse(sk_c9) != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_88435]) ).
tcf(c_88477,plain,
inverse(sk_c9) = inverse(sk_c9),
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_88489,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(sk_c9) )
| ( X1 != inverse(X0) )
| ( inverse(sk_c9) != inverse(X0) ) ),
inference(instantiation,[status(thm)],[c_88443]) ).
tcf(c_88496,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != inverse(X1) )
| ( X0 != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_88452]) ).
tcf(c_88516,plain,
( ( iPr_def_15 = multiply(identity,multiply(identity,iPr_def_15)) )
| ( iPr_def_15 != multiply(identity,iPr_def_15) )
| ( multiply(identity,multiply(identity,iPr_def_15)) != multiply(identity,iPr_def_15) ) ),
inference(instantiation,[status(thm)],[c_88461]) ).
tcf(c_88517,plain,
multiply(identity,multiply(identity,iPr_def_15)) = multiply(identity,iPr_def_15),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_88533,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c7) )
| ( iPr_def_15 != inverse(sk_c7) ) ),
inference(instantiation,[status(thm)],[c_88471]) ).
tcf(c_88552,plain,
( ( inverse(sk_c9) = iPr_def_15 )
| ( iPr_def_15 != inverse(sk_c9) )
| ( inverse(sk_c9) != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_88476]) ).
tcf(c_88588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_88618,plain,
( ( iPr_def_14 = inverse(sk_c9) )
| ( iPr_def_14 != inverse(sk_c10) )
| ( inverse(sk_c9) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_88489]) ).
tcf(c_88637,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_15 != inverse(sk_c10) )
| ( iPr_def_14 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_88496]) ).
tcf(c_88676,plain,
! [X0: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != multiply(identity,multiply(identity,iPr_def_15)) )
| ( X0 != multiply(identity,multiply(identity,iPr_def_15)) ) ),
inference(instantiation,[status(thm)],[c_88418]) ).
tcf(c_88680,plain,
( ( iPr_def_15 = sk_c10 )
| ( iPr_def_15 != iPr_def_14 )
| ( sk_c10 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_88415]) ).
tcf(c_88681,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_88452]) ).
tcf(c_88682,plain,
! [X0: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_88418]) ).
tcf(c_88769,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != multiply(identity,inverse(X1)) )
| ( X0 != multiply(identity,inverse(X1)) ) ),
inference(instantiation,[status(thm)],[c_88452]) ).
tcf(c_88831,plain,
! [X0: $i] :
( ( X0 = inverse(sk_c9) )
| ( X0 != iPr_def_15 )
| ( inverse(sk_c9) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88443]) ).
tcf(c_88833,plain,
( ( sk_c10 = inverse(sk_c9) )
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c9) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88423]) ).
tcf(c_88874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_88588]) ).
tcf(c_88881,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = X1 )
| ( X1 != iPr_def_15 )
| ( inverse(X0) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88588]) ).
tcf(c_88884,plain,
( ( iPr_def_15 = iPr_def_14 )
| ( iPr_def_15 != iPr_def_15 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88429]) ).
tcf(c_88895,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_15 != inverse(sk_c9) )
| ( iPr_def_14 != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_88496]) ).
tcf(c_88997,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( iPr_def_14 != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_89015,plain,
( ( iPr_def_15 = multiply(multiply(identity,identity),iPr_def_15) )
| ( iPr_def_15 != multiply(identity,multiply(identity,iPr_def_15)) )
| ( multiply(multiply(identity,identity),iPr_def_15) != multiply(identity,multiply(identity,iPr_def_15)) ) ),
inference(instantiation,[status(thm)],[c_88676]) ).
tcf(c_89016,plain,
multiply(multiply(identity,identity),iPr_def_15) = multiply(identity,multiply(identity,iPr_def_15)),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_89031,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_89037,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_17 )
| ( iPr_def_17 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_89054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = multiply(identity,inverse(X2)) )
| ( X1 != inverse(X2) )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_762]) ).
tcf(c_89117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_c10 = multiply(X0,X1) )
| ( sk_c10 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_89304,plain,
! [X0: $i] :
( ( inverse(sk_c7) = inverse(X0) )
| ( sk_c7 != X0 ) ),
inference(instantiation,[status(thm)],[c_761]) ).
tcf(c_89646,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_14 )
| ( iPr_def_14 != inverse(sk_c10) )
| ( inverse(X0) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_88874]) ).
tcf(c_89647,plain,
( ( inverse(sk_c10) = iPr_def_14 )
| ( iPr_def_14 != inverse(sk_c10) )
| ( inverse(sk_c10) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_89646]) ).
tcf(c_89649,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c7) )
| ( inverse(X0) != inverse(sk_c7) ) ),
inference(instantiation,[status(thm)],[c_88874]) ).
tcf(c_89719,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_89721,plain,
( ( sk_c10 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88997]) ).
tcf(c_89990,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != inverse(sk_c10) )
| ( X0 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_89031]) ).
tcf(c_89997,plain,
! [X0: $i] :
( ( X0 = iPr_def_17 )
| ( iPr_def_17 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_89037]) ).
tcf(c_90051,plain,
! [X0: $i] :
( ( multiply(X0,iPr_def_14) = multiply(identity,inverse(sk_c10)) )
| ( iPr_def_14 != inverse(sk_c10) )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_89054]) ).
tcf(c_90052,plain,
( ( multiply(sk_c10,iPr_def_14) = multiply(identity,inverse(sk_c10)) )
| ( iPr_def_14 != inverse(sk_c10) )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_90051]) ).
tcf(c_90232,plain,
( ( inverse(sk_c7) = inverse(sk_c7) )
| ( sk_c7 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_89304]) ).
tcf(c_90233,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_90745,plain,
! [X0: $i] :
( ( sk_c10 = multiply(identity,X0) )
| ( sk_c10 != X0 )
| ( multiply(identity,X0) != X0 ) ),
inference(instantiation,[status(thm)],[c_89117]) ).
tcf(c_90752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X1) = X3 )
| ( X3 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_91189,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_15 )
| ( iPr_def_15 != iPr_def_14 )
| ( inverse(X0) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_88681]) ).
tcf(c_91192,plain,
( ( inverse(sk_c10) = iPr_def_15 )
| ( iPr_def_15 != iPr_def_14 )
| ( inverse(sk_c10) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_91189]) ).
tcf(c_92089,plain,
( ( inverse(sk_c7) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c7) )
| ( inverse(sk_c7) != inverse(sk_c7) ) ),
inference(instantiation,[status(thm)],[c_89649]) ).
tcf(c_92187,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( iPr_def_28 != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_92239,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(multiply(identity,identity),iPr_def_15) )
| ( X1 != iPr_def_15 )
| ( X0 != multiply(identity,identity) ) ),
inference(instantiation,[status(thm)],[c_762]) ).
tcf(c_92263,plain,
( ( iPr_def_28 = iPr_def_17 )
| ( iPr_def_28 != iPr_def_28 )
| ( iPr_def_17 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_89997]) ).
tcf(c_92264,plain,
iPr_def_28 = iPr_def_28,
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_92265,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_28 )
| ( iPr_def_28 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_93019,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_89719]) ).
tcf(c_93020,plain,
( ( iPr_def_14 = sk_c10 )
| ( iPr_def_14 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_93019]) ).
tcf(c_94046,plain,
( ( multiply(identity,inverse(sk_c10)) = iPr_def_14 )
| ( iPr_def_14 != inverse(sk_c10) )
| ( multiply(identity,inverse(sk_c10)) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_89990]) ).
tcf(c_94209,plain,
! [X0: $i] :
( ( multiply(X0,iPr_def_14) = iPr_def_15 )
| ( iPr_def_15 != multiply(identity,inverse(sk_c10)) )
| ( multiply(X0,iPr_def_14) != multiply(identity,inverse(sk_c10)) ) ),
inference(instantiation,[status(thm)],[c_88769]) ).
tcf(c_94211,plain,
( ( multiply(sk_c10,iPr_def_14) = iPr_def_15 )
| ( iPr_def_15 != multiply(identity,inverse(sk_c10)) )
| ( multiply(sk_c10,iPr_def_14) != multiply(identity,inverse(sk_c10)) ) ),
inference(instantiation,[status(thm)],[c_94209]) ).
tcf(c_97791,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_28 != X0 )
| ( iPr_def_15 != X0 ) ),
inference(instantiation,[status(thm)],[c_92265]) ).
tcf(c_97794,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_28 != sk_c10 )
| ( iPr_def_15 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_97791]) ).
tcf(c_99183,plain,
( ( iPr_def_15 = multiply(identity,inverse(sk_c10)) )
| ( iPr_def_15 != iPr_def_14 )
| ( multiply(identity,inverse(sk_c10)) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_88682]) ).
tcf(c_102682,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(identity,identity) )
| ( X1 != X0 )
| ( multiply(identity,identity) != X0 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_103880,plain,
( ( sk_c10 = multiply(identity,identity) )
| ( sk_c10 != identity )
| ( multiply(identity,identity) != identity ) ),
inference(instantiation,[status(thm)],[c_90745]) ).
tcf(c_104581,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,iPr_def_14) = X1 )
| ( X1 != iPr_def_15 )
| ( multiply(X0,iPr_def_14) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_90752]) ).
tcf(c_104582,plain,
( ( multiply(sk_c10,iPr_def_14) = sk_c10 )
| ( sk_c10 != iPr_def_15 )
| ( multiply(sk_c10,iPr_def_14) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_104581]) ).
tcf(c_108458,plain,
! [X0: $i] :
( ( iPr_def_15 = multiply(identity,identity) )
| ( iPr_def_15 != X0 )
| ( multiply(identity,identity) != X0 ) ),
inference(instantiation,[status(thm)],[c_102682]) ).
tcf(c_108460,plain,
( ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != multiply(identity,identity) )
| ( sk_c10 != multiply(identity,identity) ) ),
inference(instantiation,[status(thm)],[c_88420]) ).
tcf(c_109810,plain,
inverse(iPr_def_17) = sk_c2,
inference(demodulation,[status(thm)],[c_88050,c_39246]) ).
tcf(c_109834,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_17,sk_c2) != sk_c9 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_109810,c_700]) ).
tcf(c_109836,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_25 )
| ( sk_c9 != identity ) ),
inference(light_normalisation,[status(thm)],[c_109834,c_693,c_1292,c_109810]) ).
tcf(c_112745,plain,
! [X0: $i] :
( ( inverse(sk_c7) = X0 )
| ( X0 != iPr_def_16 )
| ( inverse(sk_c7) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_88588]) ).
tcf(c_112748,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( sk_c10 != iPr_def_16 )
| ( inverse(sk_c7) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_112745]) ).
tcf(c_113999,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( identity = iPr_def_15 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_55876,c_66503]) ).
tcf(c_115809,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_15 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_55906,c_66503]) ).
tcf(c_125127,plain,
( ( iPr_def_15 = multiply(identity,identity) )
| ( iPr_def_15 != multiply(multiply(identity,identity),iPr_def_15) )
| ( multiply(identity,identity) != multiply(multiply(identity,identity),iPr_def_15) ) ),
inference(instantiation,[status(thm)],[c_108458]) ).
tcf(c_125933,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_88452]) ).
tcf(c_131961,plain,
( ( multiply(identity,identity) = multiply(multiply(identity,identity),iPr_def_15) )
| ( identity != iPr_def_15 )
| ( identity != multiply(identity,identity) ) ),
inference(instantiation,[status(thm)],[c_92239]) ).
tcf(c_132048,plain,
! [X0: $i] :
( ( iPr_def_15 = inverse(sk_c7) )
| ( iPr_def_15 != X0 )
| ( inverse(sk_c7) != X0 ) ),
inference(instantiation,[status(thm)],[c_88418]) ).
tcf(c_132049,plain,
( ( iPr_def_15 = inverse(sk_c7) )
| ( iPr_def_15 != sk_c10 )
| ( inverse(sk_c7) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_132048]) ).
tcf(c_132976,plain,
( ( sk_c10 = iPr_def_28 )
| ( iPr_def_28 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_92187]) ).
tcf(c_137415,plain,
( ( identity = iPr_def_18 )
| ( sk_c10 = iPr_def_28 ) ),
inference(global_subsumption_just,[status(thm)],[c_23932,c_763,c_765,c_682,c_2291,c_2290,c_4567,c_5170,c_5691,c_5979,c_19523,c_19889,c_20003,c_20422,c_23931,c_26220,c_26224,c_43400,c_44393,c_53502,c_56097,c_56855,c_64159,c_66747,c_70967,c_71073,c_88417,c_88884,c_89647,c_89721,c_90052,c_94046,c_94211,c_99183,c_104582]) ).
tcf(c_137599,plain,
( ( identity = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_28) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_137415,c_693]) ).
tcf(c_140532,plain,
( ( sk_c10 = iPr_def_28 )
| ( iPr_def_28 != iPr_def_17 )
| ( sk_c10 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_92187]) ).
tcf(c_141287,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_24942,c_765,c_682,c_683,c_687,c_688,c_690,c_697,c_736,c_737,c_738,c_739,c_740,c_1398,c_1408,c_1409,c_1410,c_1526,c_1918,c_4562,c_5170,c_5515,c_5754,c_5979,c_6117,c_6268,c_6333,c_7809,c_7814,c_18052,c_20700,c_20693,c_21539,c_23223,c_24943,c_24942,c_42282,c_43400,c_43969,c_64159,c_66746,c_88416,c_88417,c_88446,c_88447,c_88637,c_97794]) ).
tcf(c_141461,plain,
( ( sk_c10 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_24952,c_682,c_683,c_1526,c_12653,c_20661,c_88446,c_88447,c_88637]) ).
tcf(c_141462,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(renaming,[status(thm)],[c_141461]) ).
tcf(c_141639,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_17,sk_c3) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_141462,c_694]) ).
tcf(c_144503,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_31851,c_1715,c_1716,c_1738,c_1917,c_1918,c_2132,c_2249,c_2254,c_3080,c_4562,c_6528,c_17029,c_24640,c_26735,c_27875,c_31760,c_32328,c_33319,c_41679,c_54723,c_69937,c_88417,c_88449,c_88450,c_88516,c_88517,c_89015,c_89016,c_93020,c_103880,c_108460,c_113999,c_125127,c_131961]) ).
tcf(c_144505,plain,
iPr_def_14 = iPr_def_27,
inference(global_subsumption_just,[status(thm)],[c_144503,c_763,c_765,c_682,c_683,c_697,c_1480,c_1484,c_1730,c_1729,c_3912,c_4124,c_5170,c_5979,c_8935,c_8936,c_9695,c_16747,c_22251,c_26178,c_28631,c_31760,c_31965,c_32523,c_33259,c_33319,c_42099,c_43400,c_55884,c_56855,c_64159,c_78504,c_88419,c_88438,c_88439,c_89647,c_144503]) ).
tcf(c_144528,plain,
inverse(iPr_def_14) = sk_c1,
inference(demodulation,[status(thm)],[c_80673,c_144505]) ).
tcf(c_144529,plain,
multiply(sk_c1,iPr_def_14) = identity,
inference(demodulation,[status(thm)],[c_77403,c_144505]) ).
tcf(c_144560,plain,
( ~ iPr_def_13
| ( sk_c10 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_44404,c_144505]) ).
tcf(c_144644,plain,
multiply(iPr_def_14,iPr_def_28) = sk_c9,
inference(demodulation,[status(thm)],[c_10745,c_144505]) ).
tcf(c_144665,plain,
sk_c10 = sk_c1,
inference(light_normalisation,[status(thm)],[c_144528,c_41335]) ).
tcf(c_144699,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_69993,c_144529]) ).
tcf(c_144733,plain,
( ( sk_c9 = identity )
| ( sk_c10 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_2490,c_144644]) ).
tcf(c_144734,plain,
( ( sk_c9 = identity )
| ( sk_c10 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_2422,c_144644]) ).
tcf(c_144735,plain,
( ( sk_c9 = identity )
| ( sk_c10 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1981,c_144644]) ).
tcf(c_144759,plain,
multiply(iPr_def_28,iPr_def_15) = sk_c10,
inference(demodulation,[status(thm)],[c_68433,c_144665]) ).
tcf(c_144788,plain,
multiply(sk_c10,sk_c9) = iPr_def_28,
inference(demodulation,[status(thm)],[c_696,c_144665]) ).
tcf(c_145181,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_28 )
| ( inverse(sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_144788,c_702]) ).
tcf(c_145182,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_28 )
| ( inverse(sk_c10) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_144788,c_701]) ).
tcf(c_145185,plain,
multiply(sk_c2,iPr_def_28) = multiply(iPr_def_25,sk_c9),
inference(superposition,[status(thm)],[c_144788,c_4268]) ).
tcf(c_145298,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_145182,c_682]) ).
tcf(c_145302,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_14 )
| ( sk_c10 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_145181,c_682]) ).
tcf(c_145429,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_13
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51067,c_144560]) ).
tcf(c_147365,plain,
( ( iPr_def_18 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_144699,c_56097]) ).
tcf(c_148681,plain,
( ( identity = iPr_def_14 )
| ( sk_c10 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_144735,c_751]) ).
tcf(c_153680,plain,
( ( identity = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_148681,c_686]) ).
tcf(c_153692,plain,
( ( identity = iPr_def_18 )
| ( identity = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_153680,c_56058]) ).
tcf(c_157026,plain,
( ( iPr_def_28 = iPr_def_15 )
| ( iPr_def_28 != iPr_def_28 )
| ( iPr_def_15 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_125933]) ).
tcf(c_157650,plain,
! [X0: $i] :
( ( inverse(X0) = identity )
| ( identity != iPr_def_15 )
| ( inverse(X0) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88881]) ).
tcf(c_157652,plain,
( ( inverse(sk_c10) = identity )
| ( identity != iPr_def_15 )
| ( inverse(sk_c10) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_157650]) ).
tcf(c_160234,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_760]) ).
tcf(c_160248,plain,
( ( sk_c9 = inverse(sk_c9) )
| ( sk_c9 != iPr_def_15 )
| ( inverse(sk_c9) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_88831]) ).
tcf(c_164972,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_147365,c_141287]) ).
tcf(c_169467,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_33560,c_763,c_765,c_682,c_1715,c_1716,c_1918,c_1973,c_2132,c_4562,c_25078,c_33465,c_55170,c_60522,c_69934,c_71956,c_88417,c_88884,c_89647,c_91192,c_115809,c_157652]) ).
tcf(c_169469,plain,
iPr_def_14 = iPr_def_26,
inference(global_subsumption_just,[status(thm)],[c_169467,c_763,c_765,c_682,c_683,c_697,c_1417,c_1416,c_1480,c_1484,c_1730,c_1729,c_3919,c_3912,c_4131,c_4124,c_5170,c_5979,c_6156,c_7303,c_7304,c_8935,c_8936,c_9694,c_9695,c_15389,c_16747,c_22251,c_26178,c_27880,c_28631,c_31760,c_31965,c_32523,c_33259,c_33319,c_33465,c_33659,c_34083,c_34390,c_34563,c_42099,c_42096,c_43400,c_55884,c_55914,c_56855,c_64159,c_78504,c_85801,c_88419,c_88432,c_88438,c_88439,c_89647,c_144503,c_169467]) ).
tcf(c_169649,plain,
( ( sk_c10 = iPr_def_16 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_12735,c_169469]) ).
tcf(c_169655,plain,
multiply(iPr_def_14,iPr_def_14) = sk_c3,
inference(demodulation,[status(thm)],[c_11127,c_169469]) ).
tcf(c_172145,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != inverse(sk_c9) )
| ( X0 != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_160234]) ).
tcf(c_172148,plain,
( ( sk_c9 = sk_c10 )
| ( sk_c9 != inverse(sk_c9) )
| ( sk_c10 != inverse(sk_c9) ) ),
inference(instantiation,[status(thm)],[c_172145]) ).
tcf(c_172464,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_169649,c_686]) ).
tcf(c_172472,plain,
( ( identity = iPr_def_18 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_172464,c_56058]) ).
tcf(c_173920,plain,
( ( identity = iPr_def_18 )
| ~ iPr_def_13 ),
inference(superposition,[status(thm)],[c_172472,c_144560]) ).
tcf(c_174007,plain,
( ( identity = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_172472,c_1286]) ).
tcf(c_174030,plain,
( ( identity = iPr_def_18 )
| ( sk_c3 = identity ) ),
inference(light_normalisation,[status(thm)],[c_174007,c_169655]) ).
tcf(c_176531,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_51538,c_763,c_765,c_682,c_688,c_690,c_697,c_737,c_738,c_739,c_740,c_1398,c_1409,c_1410,c_1918,c_2022,c_4562,c_4567,c_5170,c_5691,c_5979,c_6268,c_6333,c_7814,c_7864,c_21539,c_26735,c_41679,c_42282,c_43400,c_51067,c_51539,c_51538,c_54323,c_56855,c_64159,c_66745,c_69732,c_88416,c_88417,c_88884,c_89647,c_89721,c_90052,c_94046,c_94211,c_97794,c_99183,c_104582,c_141287,c_145429]) ).
tcf(c_192134,plain,
( ( identity = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_137599,c_145185]) ).
tcf(c_192237,plain,
( ( identity = iPr_def_18 )
| ( sk_c9 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_192134,c_56707]) ).
tcf(c_192603,plain,
identity = iPr_def_18,
inference(global_subsumption_just,[status(thm)],[c_174030,c_23931,c_60531,c_66747,c_70967,c_109836,c_137415,c_145302,c_145298,c_153692,c_172472,c_173920,c_192237]) ).
tcf(c_192660,plain,
( ( sk_c9 = iPr_def_18 )
| ( sk_c10 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_144734,c_192603]) ).
tcf(c_192661,plain,
( ( sk_c9 = iPr_def_18 )
| ( sk_c10 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_144733,c_192603]) ).
tcf(c_192745,plain,
multiply(sk_c9,iPr_def_15) = iPr_def_18,
inference(demodulation,[status(thm)],[c_66314,c_192603]) ).
tcf(c_192776,plain,
inverse(iPr_def_18) = iPr_def_18,
inference(demodulation,[status(thm)],[c_39276,c_192603]) ).
tcf(c_192777,plain,
! [X0: $i] : multiply(X0,iPr_def_18) = X0,
inference(demodulation,[status(thm)],[c_39246,c_192603]) ).
tcf(c_193155,plain,
sk_c10 = iPr_def_16,
inference(demodulation,[status(thm)],[c_10961,c_192777]) ).
tcf(c_193206,plain,
multiply(iPr_def_28,iPr_def_15) = iPr_def_16,
inference(demodulation,[status(thm)],[c_144759,c_193155]) ).
tcf(c_193263,plain,
( ~ iPr_def_13
| ( sk_c9 != iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_41575,c_193155]) ).
tcf(c_193379,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_16 )
| ( sk_c9 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_697,c_193155]) ).
tcf(c_193410,plain,
inverse(iPr_def_16) = iPr_def_14,
inference(demodulation,[status(thm)],[c_682,c_193155]) ).
tcf(c_193433,plain,
sk_c7 = iPr_def_14,
inference(demodulation,[status(thm)],[c_56970,c_193410]) ).
tcf(c_193464,plain,
inverse(iPr_def_14) = iPr_def_16,
inference(demodulation,[status(thm)],[c_684,c_193433]) ).
tcf(c_194408,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_164972,c_192776]) ).
tcf(c_194415,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c9 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_194408,c_66741]) ).
tcf(c_194904,plain,
iPr_def_14 = iPr_def_15,
inference(global_subsumption_just,[status(thm)],[c_141639,c_682,c_683,c_23223,c_88439,c_88477,c_88552,c_88618,c_88833,c_88895,c_160248,c_172148,c_194415]) ).
tcf(c_194969,plain,
inverse(iPr_def_14) = sk_c9,
inference(demodulation,[status(thm)],[c_66741,c_194904]) ).
tcf(c_195015,plain,
sk_c9 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_194969,c_193464]) ).
tcf(c_195581,plain,
multiply(iPr_def_16,iPr_def_14) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_192745,c_194904,c_195015]) ).
tcf(c_195679,plain,
sk_c10 = iPr_def_24,
inference(global_subsumption_just,[status(thm)],[c_67828,c_682,c_683,c_4841,c_5515,c_18421,c_20422,c_23223,c_24453,c_57005,c_88439,c_88477,c_88552,c_88618,c_88833,c_88895,c_89721,c_144733,c_145298,c_160248,c_172148,c_193263,c_192661,c_194415,c_195015]) ).
tcf(c_195850,plain,
sk_c10 = iPr_def_23,
inference(global_subsumption_just,[status(thm)],[c_67829,c_682,c_683,c_4842,c_5515,c_18366,c_20003,c_23223,c_23721,c_57005,c_88439,c_88477,c_88552,c_88618,c_88833,c_88895,c_89721,c_144734,c_145298,c_160248,c_172148,c_193263,c_192660,c_194415,c_195015]) ).
tcf(c_195852,plain,
iPr_def_16 = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_195850,c_193155]) ).
tcf(c_196109,plain,
( ( sk_c10 = iPr_def_28 )
| ( identity = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_69582,c_51067,c_92264,c_132976,c_157026,c_176531]) ).
tcf(c_196110,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(renaming,[status(thm)],[c_196109]) ).
tcf(c_196111,plain,
( ( iPr_def_16 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_196110,c_192603,c_193155,c_195852]) ).
tcf(c_196285,plain,
multiply(iPr_def_28,iPr_def_14) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_193206,c_194904]) ).
tcf(c_196286,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_196111,c_196285]) ).
tcf(c_196297,plain,
iPr_def_16 = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_196286,c_195581]) ).
tcf(c_196301,plain,
! [X0: $i] : multiply(X0,iPr_def_16) = X0,
inference(demodulation,[status(thm)],[c_192777,c_196297]) ).
tcf(c_196308,plain,
inverse(iPr_def_16) = iPr_def_16,
inference(demodulation,[status(thm)],[c_192776,c_196297]) ).
tcf(c_196309,plain,
identity = iPr_def_16,
inference(demodulation,[status(thm)],[c_192603,c_196297]) ).
tcf(c_196314,plain,
iPr_def_14 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_196308,c_193410]) ).
tcf(c_196329,plain,
inverse(iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_193410,c_196314]) ).
tcf(c_196330,plain,
sk_c9 = iPr_def_14,
inference(demodulation,[status(thm)],[c_195015,c_196314]) ).
tcf(c_196333,plain,
sk_c10 = iPr_def_14,
inference(demodulation,[status(thm)],[c_193155,c_196314]) ).
tcf(c_196415,plain,
identity = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_196309,c_196314]) ).
tcf(c_196490,plain,
sk_c10 = iPr_def_17,
inference(global_subsumption_just,[status(thm)],[c_11754,c_682,c_683,c_684,c_1214,c_1226,c_4567,c_4842,c_4841,c_5170,c_5515,c_5979,c_12509,c_12522,c_18366,c_18421,c_20003,c_20422,c_23223,c_23721,c_24453,c_43400,c_57005,c_64159,c_66986,c_88417,c_88439,c_88477,c_88533,c_88552,c_88618,c_88680,c_88833,c_88884,c_88895,c_89721,c_90232,c_90233,c_92089,c_112748,c_132049,c_144734,c_144733,c_145298,c_160248,c_172148,c_193155,c_193263,c_192661,c_192660,c_193379,c_194415,c_195015,c_196333,c_196330]) ).
tcf(c_196532,plain,
sk_c10 = iPr_def_28,
inference(global_subsumption_just,[status(thm)],[c_71231,c_763,c_765,c_682,c_683,c_697,c_1918,c_2291,c_2290,c_4562,c_4842,c_4841,c_5170,c_5515,c_5652,c_5979,c_18366,c_18421,c_19523,c_19889,c_20003,c_20422,c_23223,c_23721,c_24453,c_43400,c_56025,c_56855,c_57005,c_64159,c_88417,c_88439,c_88477,c_88552,c_88618,c_88680,c_88833,c_88884,c_88895,c_89647,c_89721,c_92263,c_92264,c_140532,c_144734,c_144733,c_145298,c_160248,c_172148,c_193263,c_192661,c_192660,c_194415,c_195015,c_196333,c_196330,c_196490]) ).
tcf(c_196665,plain,
! [X0: $i] : multiply(X0,iPr_def_14) = X0,
inference(light_normalisation,[status(thm)],[c_196301,c_196314]) ).
tcf(c_196669,plain,
! [X0: $i] : multiply(inverse(X0),X0) = iPr_def_14,
inference(superposition,[status(thm)],[c_196665,c_36603]) ).
tcf(c_197773,plain,
( ( multiply(inverse(identity),sk_c10) != sk_c9 )
| ( inverse(identity) != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_5951,c_697,c_1918,c_4562,c_5170,c_5951,c_88417,c_88680,c_88884,c_145302,c_193263,c_194904,c_195015,c_195679,c_195850,c_196333,c_196330,c_196532]) ).
tcf(c_197774,plain,
( ( inverse(identity) != sk_c9 )
| ( multiply(inverse(identity),sk_c10) != sk_c9 ) ),
inference(renaming,[status(thm)],[c_197773]) ).
tcf(c_197775,plain,
$false,
inference(ground_joinability,[status(thm)],[c_197774,c_196329,c_196330,c_196333,c_196415,c_196669]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP240-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n026.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 14:16:44 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 25.49/10.69 % SZS status Started for theBenchmark.p
% 25.49/10.69 % SZS status Unsatisfiable for theBenchmark.p
% 25.49/10.69
% 25.49/10.69 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.49/10.69
% 25.49/10.69 % ------ iProver source info
% 25.49/10.69
% 25.49/10.69 % git: date: 2026-07-19 20:42:38 +0200
% 25.49/10.69 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.49/10.69 % git: non_committed_changes: false
% 25.49/10.69
% 25.49/10.69 % ------ Parsing...% successful
% 25.49/10.69
% 25.49/10.69
% 25.49/10.69 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.49/10.69
% 25.49/10.69 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 25.49/10.69
% 25.49/10.69 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 25.49/10.69
% 25.49/10.69 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 25.49/10.69 % ------ Proving...
% 25.49/10.69 % ------ Problem Properties
% 25.49/10.69
% 25.49/10.69 %
% 25.49/10.69 % clauses 79
% 25.49/10.69 % conjectures 61
% 25.49/10.69 % EPR 57
% 25.49/10.69 % Horn 22
% 25.49/10.69 % unary 18
% 25.49/10.69 % binary 56
% 25.49/10.69 % lits 148
% 25.49/10.69 % lits eq 140
% 25.49/10.69 % fd_pure 0
% 25.49/10.69 % fd_pseudo 0
% 25.49/10.69 % fd_cond 0
% 25.49/10.69 % fd_pseudo_cond 0
% 25.49/10.69 % AC symbols 0
% 25.49/10.69
% 25.49/10.69 % ------ Schedule dynamic 5 is on
% 25.49/10.69
% 25.49/10.69 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.49/10.69
% 25.49/10.69
% 25.49/10.69 % ------
% 25.49/10.69 % Current options:
% 25.49/10.69 % ------
% 25.49/10.69
% 25.49/10.69
% 25.49/10.69 %
% 25.49/10.69
% 25.49/10.69 % ------ Proving...
% 25.49/10.69 %
% 25.49/10.69
% 25.49/10.69 % SZS status Unsatisfiable for theBenchmark.p
% 25.49/10.69
% 25.49/10.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.23/10.71
% 35.23/10.71
%------------------------------------------------------------------------------