%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP377-1 : 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 : n004.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 01:33:27 PM UTC 2026
% Result : Unsatisfiable 26.66s 4.30s
% Output : CNFRefutation 26.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 48
% Syntax : Number of formulae : 674 ( 148 unt; 12 def)
% Number of atoms : 2746 (1472 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1536 ( 624 ~; 912 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 337 ( 0 sgn 337 !; 0 ?; 306 :)
% 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,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c10 = inverse(sk_c2)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c9 = inverse(sk_c3)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c10 = multiply(sk_c4,sk_c7)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c10 = multiply(sk_c7,sk_c9)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f16]) ).
fof(f23,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| sk_c9 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c9 = inverse(sk_c3)
| sk_c9 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c10 = multiply(sk_c4,sk_c7)
| sk_c9 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c4)
| sk_c9 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f36,plain,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f35]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c9 = inverse(sk_c3)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c10 = multiply(sk_c4,sk_c7)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c7 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f56,plain,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f55]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c9 = inverse(sk_c3)
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c10 = multiply(sk_c4,sk_c7)
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c7 = inverse(sk_c4)
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f76,plain,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c10 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f75]) ).
fof(f83,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(X5,X4) != X6
| inverse(X6) != X4
| inverse(X5) != X6
| multiply(X4,sk_c9) != sk_c10
| inverse(X3) != X4
| multiply(X3,X4) != sk_c10
| inverse(X2) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(X5,X4) != X6
| inverse(X6) != X4
| inverse(X5) != X6
| sk_c10 != multiply(X4,sk_c9)
| inverse(X3) != X4
| sk_c10 != multiply(X3,X4)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c10 != inverse(X1)
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != multiply(sk_c8,sk_c9)
| inverse(X0) != sk_c10
| sk_c9 != multiply(X0,sk_c10)
| inverse(sk_c10) != sk_c9 ),
inference(reorient_equations,[],[f83]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X6,X5] :
( multiply(X5,inverse(X3)) != X6
| inverse(X3) != inverse(X6)
| inverse(X5) != X6
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3))
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c10 != inverse(X1)
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != multiply(sk_c8,sk_c9)
| inverse(X0) != sk_c10
| sk_c9 != multiply(X0,sk_c10)
| inverse(sk_c10) != sk_c9 ),
inference(equality_resolution,[],[f84]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X5] :
( inverse(X5) != multiply(X5,inverse(X3))
| inverse(X3) != inverse(inverse(X5))
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3))
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c10 != inverse(X1)
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != multiply(sk_c8,sk_c9)
| inverse(X0) != sk_c10
| sk_c9 != multiply(X0,sk_c10)
| inverse(sk_c10) != sk_c9 ),
inference(equality_resolution,[],[f85]) ).
tcf(c_93,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_94,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_108,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_126,negated_conjecture,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_128,negated_conjecture,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_129,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_130,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_131,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_132,negated_conjecture,
( ( multiply(sk_c7,sk_c9) = sk_c10 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_136,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(sk_c10) != sk_c9 )
| ( inverse(X4) != sk_c9 )
| ( inverse(X3) != sk_c10 )
| ( inverse(X2) != sk_c10 )
| ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( multiply(X4,sk_c9) != sk_c8 )
| ( multiply(X3,sk_c10) != sk_c9 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c9) != sk_c10 )
| ( multiply(X1,inverse(X1)) != sk_c10 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_137,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_517,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_136]) ).
tcf(c_518,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_136]) ).
tcf(c_519,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c9) != sk_c10 )
| ( multiply(X1,inverse(X1)) != sk_c10 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_136]) ).
tcf(c_520,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c10) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_136]) ).
tcf(c_521,definition,
iPr_def_13 = multiply(sk_c8,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_522,definition,
iPr_def_14 = inverse(sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_524,definition,
iPr_def_16 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_526,definition,
iPr_def_18 = multiply(sk_c7,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_527,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_528,definition,
iPr_def_20 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_529,definition,
iPr_def_21 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_530,definition,
iPr_def_22 = multiply(sk_c3,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_531,definition,
iPr_def_23 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_532,definition,
iPr_def_24 = multiply(sk_c2,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_533,definition,
iPr_def_25 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_534,definition,
iPr_def_26 = multiply(sk_c1,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_535,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 != sk_c9 )
| ( iPr_def_13 != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_520,c_522,c_521]) ).
tcf(c_536,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c9) != sk_c10 )
| ( multiply(X1,inverse(X1)) != sk_c10 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(demodulation,[status(thm)],[c_519]) ).
tcf(c_538,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_518]) ).
tcf(c_539,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_517]) ).
tcf(c_543,negated_conjecture,
( ( iPr_def_18 = sk_c10 )
| ( iPr_def_13 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_132,c_526]) ).
tcf(c_544,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_13 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_131,c_527]) ).
tcf(c_545,negated_conjecture,
( ( iPr_def_20 = sk_c10 )
| ( iPr_def_13 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_130,c_528]) ).
tcf(c_546,negated_conjecture,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_13 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_129,c_529]) ).
tcf(c_547,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_13 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_128,c_530]) ).
tcf(c_548,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_13 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_127,c_531]) ).
tcf(c_549,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_13 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_126,c_532]) ).
tcf(c_553,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_554,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_555,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_20 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_556,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_21 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_557,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_22 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_558,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_559,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_563,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_564,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_565,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_20 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_566,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_21 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_567,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_22 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_568,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_569,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_573,negated_conjecture,
( ( iPr_def_18 = sk_c10 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_574,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_575,negated_conjecture,
( ( iPr_def_20 = sk_c10 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_576,negated_conjecture,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_577,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_578,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_579,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_580,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = inverse(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X2) = multiply(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_584,plain,
( ( inverse(sk_c10) = inverse(sk_c10) )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_586,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_864,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_543,c_545]) ).
tcf(c_876,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_547,c_521]) ).
tcf(c_901,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_548,c_545]) ).
tcf(c_1038,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_554,c_528]) ).
tcf(c_1040,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_544,c_528]) ).
tcf(c_1050,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_549,c_530]) ).
tcf(c_1051,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_546,c_530]) ).
tcf(c_1058,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_548,c_532]) ).
tcf(c_1059,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_545,c_532]) ).
tcf(c_1060,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_543,c_532]) ).
tcf(c_1086,plain,
! [X0: $i] :
( ( iPr_def_13 = sk_c10 )
| ( iPr_def_13 != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_1087,plain,
multiply(iPr_def_14,sk_c10) = identity,
inference(superposition,[status(thm)],[c_522,c_94]) ).
tcf(c_1088,plain,
multiply(iPr_def_23,sk_c2) = identity,
inference(superposition,[status(thm)],[c_531,c_94]) ).
tcf(c_1089,plain,
multiply(iPr_def_21,sk_c3) = identity,
inference(superposition,[status(thm)],[c_529,c_94]) ).
tcf(c_1090,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_527,c_94]) ).
tcf(c_1092,plain,
multiply(iPr_def_16,sk_c5) = identity,
inference(superposition,[status(thm)],[c_524,c_94]) ).
tcf(c_1093,plain,
multiply(iPr_def_25,sk_c1) = identity,
inference(superposition,[status(thm)],[c_533,c_94]) ).
tcf(c_1094,plain,
( ( iPr_def_13 = sk_c10 )
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c10 != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_1086]) ).
tcf(c_1095,plain,
iPr_def_13 = iPr_def_13,
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_1096,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_13 = X0 )
| ( iPr_def_13 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_1098,plain,
! [X0: $i] :
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != X0 )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_1099,plain,
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != sk_c10 )
| ( sk_c9 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1098]) ).
tcf(c_1116,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_1117,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1116]) ).
tcf(c_1118,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_1124,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_1126,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_1131,plain,
! [X0: $i] :
( ( iPr_def_13 = sk_c9 )
| ( iPr_def_13 != X0 )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_1096]) ).
tcf(c_1167,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_558,c_534]) ).
tcf(c_1199,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_559,c_556]) ).
tcf(c_1200,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_559,c_530]) ).
tcf(c_1212,plain,
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != iPr_def_24 )
| ( sk_c9 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_1098]) ).
tcf(c_1213,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != iPr_def_24 )
| ( X0 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_1116]) ).
tcf(c_1239,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != iPr_def_21 )
| ( X0 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_1241,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != iPr_def_24 )
| ( X0 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_1299,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_563,c_530]) ).
tcf(c_1300,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_563,c_526]) ).
tcf(c_1302,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_563,c_521]) ).
tcf(c_1322,plain,
( ( sk_c9 = iPr_def_14 )
| ( iPr_def_14 != sk_c9 )
| ( sk_c9 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1117]) ).
tcf(c_1338,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_564,c_528]) ).
tcf(c_1369,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(identity,sk_c9) )
| ( X1 != X0 )
| ( multiply(identity,sk_c9) != X0 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_1372,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(identity,sk_c9) )
| ( X1 != sk_c9 )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_1374,plain,
( ( multiply(sk_c10,sk_c10) = multiply(identity,sk_c9) )
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1372]) ).
tcf(c_1387,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_565,c_530]) ).
tcf(c_1430,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_566,c_530]) ).
tcf(c_1431,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_566,c_526]) ).
tcf(c_1433,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_566,c_521]) ).
tcf(c_1456,plain,
( ( iPr_def_13 = sk_c9 )
| ( iPr_def_13 != iPr_def_21 )
| ( sk_c9 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1131]) ).
tcf(c_1468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_1487,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_568,c_530]) ).
tcf(c_1513,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_21 )
| ( iPr_def_21 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_1556,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_569,c_530]) ).
tcf(c_1581,plain,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_21 != iPr_def_21 )
| ( sk_c9 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1239]) ).
tcf(c_1582,plain,
iPr_def_21 = iPr_def_21,
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_1588,plain,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_24 != iPr_def_24 )
| ( sk_c9 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_1589,plain,
iPr_def_24 = iPr_def_24,
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_1689,plain,
! [X0: $i] :
( ( X0 = multiply(identity,sk_c9) )
| ( X0 != sk_c9 )
| ( multiply(identity,sk_c9) != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1369]) ).
tcf(c_1708,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_573,c_563]) ).
tcf(c_1759,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_1764,plain,
! [X0: $i] :
( ( iPr_def_13 = identity )
| ( iPr_def_13 != X0 )
| ( identity != X0 ) ),
inference(instantiation,[status(thm)],[c_1096]) ).
tcf(c_1777,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_574,c_528]) ).
tcf(c_1796,plain,
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != iPr_def_26 )
| ( sk_c9 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1098]) ).
tcf(c_1797,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != iPr_def_26 )
| ( X0 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_1817,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_575,c_565]) ).
tcf(c_1865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1468]) ).
tcf(c_1868,plain,
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != iPr_def_14 )
| ( sk_c9 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1098]) ).
tcf(c_1894,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_576,c_530]) ).
tcf(c_1946,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = X0 )
| ( iPr_def_21 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_2012,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_578,c_568]) ).
tcf(c_2055,plain,
! [X0: $i,X1: $i] :
( ( identity = X0 )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_2116,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_579,c_576]) ).
tcf(c_2125,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_579,c_530]) ).
tcf(c_2163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( iPr_def_13 = multiply(X0,X1) )
| ( iPr_def_13 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_1096]) ).
tcf(c_2190,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_532,c_95]) ).
tcf(c_2198,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_94,c_95]) ).
tcf(c_2200,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c10,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1087,c_95]) ).
tcf(c_2201,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1088,c_95]) ).
tcf(c_2202,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1089,c_95]) ).
tcf(c_2203,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1090,c_95]) ).
tcf(c_2205,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1092,c_95]) ).
tcf(c_2207,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2205,c_93]) ).
tcf(c_2209,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2203,c_93]) ).
tcf(c_2210,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2202,c_93]) ).
tcf(c_2211,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2201,c_93]) ).
tcf(c_2212,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2200,c_93]) ).
tcf(c_2277,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1093,c_95]) ).
tcf(c_2278,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2277,c_93]) ).
tcf(c_2365,plain,
! [X0: $i] :
( ( X0 = iPr_def_21 )
| ( iPr_def_21 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1513]) ).
tcf(c_2607,plain,
! [X0: $i,X1: $i] :
( ( inverse(X1) = multiply(identity,inverse(X0)) )
| ( inverse(X1) != inverse(X0) )
| ( multiply(identity,inverse(X0)) != inverse(X0) ) ),
inference(instantiation,[status(thm)],[c_1865]) ).
tcf(c_2608,plain,
! [X0: $i] : multiply(identity,inverse(X0)) = inverse(X0),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2609,plain,
( ( inverse(sk_c10) = multiply(identity,inverse(sk_c10)) )
| ( inverse(sk_c10) != inverse(sk_c10) )
| ( multiply(identity,inverse(sk_c10)) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_2607]) ).
tcf(c_2610,plain,
multiply(identity,inverse(sk_c10)) = inverse(sk_c10),
inference(instantiation,[status(thm)],[c_2608]) ).
tcf(c_2612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = inverse(X0) )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_2614,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_14 )
| ( iPr_def_14 != inverse(sk_c10) )
| ( inverse(X0) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_1865]) ).
tcf(c_2615,plain,
( ( inverse(sk_c10) = iPr_def_14 )
| ( iPr_def_14 != inverse(sk_c10) )
| ( inverse(sk_c10) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_2614]) ).
tcf(c_2643,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c9 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_901,c_535]) ).
tcf(c_2644,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_864,c_535]) ).
tcf(c_2650,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_23 )
| ( sk_c9 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_548,c_535]) ).
tcf(c_2651,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_20 )
| ( sk_c9 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_545,c_535]) ).
tcf(c_2652,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_18 )
| ( sk_c9 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_543,c_535]) ).
tcf(c_2725,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_22 )
| ( inverse(sk_c3) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_530,c_538]) ).
tcf(c_2728,plain,
( ~ iPr_def_11
| ( sk_c9 != sk_c8 )
| ( inverse(identity) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_93,c_538]) ).
tcf(c_2730,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,sk_c9)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_95,c_538]) ).
tcf(c_2754,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_22 )
| ( sk_c9 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2725,c_529]) ).
tcf(c_2846,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_26 != X0 )
| ( iPr_def_14 != X0 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_2870,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_2875,plain,
multiply(identity,iPr_def_26) = iPr_def_26,
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2876,plain,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_26 != iPr_def_26 )
| ( sk_c9 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1797]) ).
tcf(c_2877,plain,
iPr_def_26 = iPr_def_26,
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_2907,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_532,c_539]) ).
tcf(c_2908,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_26 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_534,c_539]) ).
tcf(c_2929,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_26 )
| ( sk_c10 != iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_2908,c_533]) ).
tcf(c_2933,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2907,c_531]) ).
tcf(c_3208,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_3211,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_14 != X0 )
| ( iPr_def_13 != X0 ) ),
inference(instantiation,[status(thm)],[c_1096]) ).
tcf(c_3451,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_546,c_876]) ).
tcf(c_3504,plain,
! [X0: $i] :
( ( iPr_def_21 = X0 )
| ( iPr_def_21 != iPr_def_21 )
| ( X0 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1946]) ).
tcf(c_3559,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1199,c_534]) ).
tcf(c_3673,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_2055]) ).
tcf(c_3674,plain,
( ( identity = sk_c10 )
| ( identity != identity )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_3673]) ).
tcf(c_3854,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1708,c_539]) ).
tcf(c_4072,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1817,c_522]) ).
tcf(c_4159,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2012,c_532]) ).
tcf(c_4258,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2116,c_521]) ).
tcf(c_4513,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c7,
inference(superposition,[status(thm)],[c_528,c_2209]) ).
tcf(c_4526,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c9,
inference(superposition,[status(thm)],[c_530,c_2210]) ).
tcf(c_4531,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c10,
inference(superposition,[status(thm)],[c_532,c_2211]) ).
tcf(c_4551,plain,
( ( iPr_def_24 = iPr_def_21 )
| ( iPr_def_24 != sk_c9 )
| ( iPr_def_21 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_2365]) ).
tcf(c_4695,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_555,c_2212]) ).
tcf(c_4696,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_14,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_553,c_2212]) ).
tcf(c_4813,plain,
multiply(iPr_def_25,iPr_def_26) = sk_c10,
inference(superposition,[status(thm)],[c_534,c_2278]) ).
tcf(c_4930,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_5437,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(X0) )
| ( X1 != iPr_def_14 )
| ( inverse(X0) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_2612]) ).
tcf(c_5439,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = X1 )
| ( X1 != iPr_def_14 )
| ( inverse(X0) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1468]) ).
tcf(c_5634,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_13 )
| ( multiply(sk_c4,multiply(iPr_def_19,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1040,c_95]) ).
tcf(c_5655,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1050,c_2210]) ).
tcf(c_5656,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_5655,c_4526]) ).
tcf(c_5666,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_13 )
| ( multiply(sk_c3,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1051,c_95]) ).
tcf(c_5667,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1051,c_2210]) ).
tcf(c_5668,plain,
( ( sk_c9 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_5667,c_4526]) ).
tcf(c_5935,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1058,c_2211]) ).
tcf(c_5936,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_5935,c_4531]) ).
tcf(c_5947,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1059,c_2211]) ).
tcf(c_5948,plain,
( ( sk_c10 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_5947,c_4531]) ).
tcf(c_5959,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1060,c_2211]) ).
tcf(c_5960,plain,
( ( sk_c10 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_5959,c_4531]) ).
tcf(c_6678,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1167,c_2278]) ).
tcf(c_6679,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_6678,c_4813]) ).
tcf(c_6733,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1200,c_2210]) ).
tcf(c_6734,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_6733,c_4526]) ).
tcf(c_6933,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1299,c_2210]) ).
tcf(c_6934,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6933,c_4526]) ).
tcf(c_6968,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c7,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1300,c_95]) ).
tcf(c_6991,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1302,c_95]) ).
tcf(c_7313,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1387,c_2210]) ).
tcf(c_7314,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_7313,c_4526]) ).
tcf(c_7408,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1430,c_2210]) ).
tcf(c_7409,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c9 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7408,c_4526]) ).
tcf(c_7477,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c7,multiply(iPr_def_26,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1431,c_95]) ).
tcf(c_7503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = inverse(X0) )
| ( X2 != multiply(identity,inverse(X1)) )
| ( inverse(X0) != multiply(identity,inverse(X1)) ) ),
inference(instantiation,[status(thm)],[c_2612]) ).
tcf(c_7505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != multiply(identity,inverse(X1)) )
| ( inverse(X0) != multiply(identity,inverse(X1)) ) ),
inference(instantiation,[status(thm)],[c_1468]) ).
tcf(c_7523,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1433,c_95]) ).
tcf(c_7673,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1487,c_95]) ).
tcf(c_7674,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1487,c_2210]) ).
tcf(c_7675,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_7674,c_4526]) ).
tcf(c_7977,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1556,c_2210]) ).
tcf(c_7978,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7977,c_4526]) ).
tcf(c_8541,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1894,c_2210]) ).
tcf(c_8542,plain,
( ( sk_c9 = iPr_def_21 )
| ( sk_c9 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_8541,c_4526]) ).
tcf(c_8929,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2125,c_2210]) ).
tcf(c_8930,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_8929,c_4526]) ).
tcf(c_10809,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2198,c_93]) ).
tcf(c_10849,plain,
multiply(inverse(sk_c8),iPr_def_13) = sk_c9,
inference(superposition,[status(thm)],[c_521,c_10809]) ).
tcf(c_10850,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_93,c_10809]) ).
tcf(c_10851,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_94,c_10809]) ).
tcf(c_10997,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2212,c_10809]) ).
tcf(c_10998,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2211,c_10809]) ).
tcf(c_10999,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2210,c_10809]) ).
tcf(c_11000,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2209,c_10809]) ).
tcf(c_11002,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2207,c_10809]) ).
tcf(c_11003,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2278,c_10809]) ).
tcf(c_11055,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_10809,c_10809]) ).
tcf(c_11433,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_14 != sk_c9 )
| ( iPr_def_13 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_3211]) ).
tcf(c_11435,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_26 != sk_c9 )
| ( iPr_def_14 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_2846]) ).
tcf(c_11446,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_3208]) ).
tcf(c_11626,plain,
( ( sk_c9 = iPr_def_21 )
| ( iPr_def_21 != iPr_def_24 )
| ( sk_c9 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_1213]) ).
tcf(c_12128,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_10851,c_11055]) ).
tcf(c_12165,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12128,c_10850]) ).
tcf(c_12722,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_578,c_2643]) ).
tcf(c_12725,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_23 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_573,c_2643]) ).
tcf(c_12811,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_12722,c_535,c_1094,c_1095,c_1796,c_2012,c_2933,c_2929,c_5936,c_6679,c_6734,c_7675]) ).
tcf(c_12829,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_12725,c_535,c_1094,c_1095,c_1708,c_1796,c_2933,c_2929,c_5960,c_6679,c_6734,c_6934]) ).
tcf(c_12837,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 != iPr_def_14 )
| ( iPr_def_18 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_2644,c_535,c_864,c_1094,c_1095,c_1868,c_2870,c_2933,c_2929,c_6679,c_6734,c_7978,c_12811]) ).
tcf(c_12838,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 != iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_12837]) ).
tcf(c_12871,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_18 = iPr_def_20 )
| ( sk_c9 = iPr_def_24 )
| ( iPr_def_14 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_569,c_12838]) ).
tcf(c_13132,plain,
( ( sk_c9 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_576,c_2754]) ).
tcf(c_13141,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_556,c_2754]) ).
tcf(c_13143,plain,
( ( sk_c10 = iPr_def_13 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_546,c_2754]) ).
tcf(c_13286,plain,
( ( sk_c9 = iPr_def_14 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_577,c_13132]) ).
tcf(c_13306,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_557,c_13141]) ).
tcf(c_13419,plain,
( ( sk_c10 = iPr_def_13 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_547,c_13143]) ).
tcf(c_13751,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_2929,c_2933,c_2929,c_6679,c_6734]) ).
tcf(c_13753,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_13751,c_2933,c_7675,c_7978,c_13751]) ).
tcf(c_13756,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 != iPr_def_14 )
| ( sk_c10 != iPr_def_13 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_535,c_13753]) ).
tcf(c_14073,plain,
multiply(sk_c10,iPr_def_14) = identity,
inference(superposition,[status(thm)],[c_10997,c_94]) ).
tcf(c_14076,plain,
! [X0: $i] : multiply(sk_c10,multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_10997,c_10809]) ).
tcf(c_14077,plain,
multiply(sk_c10,identity) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_10997,c_12128]) ).
tcf(c_14118,plain,
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_545,c_14073]) ).
tcf(c_14123,plain,
multiply(sk_c2,identity) = multiply(iPr_def_24,iPr_def_14),
inference(superposition,[status(thm)],[c_14073,c_2190]) ).
tcf(c_14531,plain,
inverse(iPr_def_14) = sk_c10,
inference(demodulation,[status(thm)],[c_14077,c_12128]) ).
tcf(c_14535,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c10 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_14531,c_536]) ).
tcf(c_14536,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(sk_c10,sk_c9) != sk_c10 )
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_14535,c_1087,c_14531]) ).
tcf(c_14542,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( multiply(sk_c10,sk_c9) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != inverse(sk_c10) )
| ( inverse(inverse(sk_c10)) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_14536]) ).
tcf(c_14990,plain,
multiply(iPr_def_24,iPr_def_14) = sk_c2,
inference(demodulation,[status(thm)],[c_14123,c_12128]) ).
tcf(c_14991,plain,
multiply(inverse(iPr_def_24),sk_c2) = iPr_def_14,
inference(superposition,[status(thm)],[c_14990,c_10809]) ).
tcf(c_14996,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c2,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_14991,c_95]) ).
tcf(c_15204,plain,
multiply(sk_c2,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_10998,c_94]) ).
tcf(c_15208,plain,
multiply(sk_c2,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_10998,c_12128]) ).
tcf(c_15221,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_4159,c_15204]) ).
tcf(c_15222,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_1058,c_15204]) ).
tcf(c_15252,plain,
multiply(inverse(iPr_def_24),identity) = multiply(iPr_def_14,iPr_def_23),
inference(superposition,[status(thm)],[c_15204,c_14996]) ).
tcf(c_15256,plain,
inverse(iPr_def_23) = sk_c2,
inference(demodulation,[status(thm)],[c_15208,c_12128]) ).
tcf(c_15469,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_15221,c_12165]) ).
tcf(c_15471,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_15221,c_93]) ).
tcf(c_15519,plain,
( ( iPr_def_13 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_15222,c_558]) ).
tcf(c_15526,plain,
( ( identity = iPr_def_24 )
| ( inverse(iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15222,c_522]) ).
tcf(c_15591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = multiply(identity,inverse(X2)) )
| ( X1 != inverse(X2) )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_15593,plain,
( ( multiply(sk_c10,sk_c10) = multiply(identity,inverse(sk_c10)) )
| ( sk_c10 != identity )
| ( sk_c10 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_15591]) ).
tcf(c_15597,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = iPr_def_13 )
| ( iPr_def_13 != multiply(identity,inverse(X1)) )
| ( inverse(X0) != multiply(identity,inverse(X1)) ) ),
inference(instantiation,[status(thm)],[c_7505]) ).
tcf(c_15599,plain,
( ( inverse(sk_c10) = iPr_def_13 )
| ( iPr_def_13 != multiply(identity,inverse(sk_c10)) )
| ( inverse(sk_c10) != multiply(identity,inverse(sk_c10)) ) ),
inference(instantiation,[status(thm)],[c_15597]) ).
tcf(c_15607,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15526,c_536]) ).
tcf(c_15623,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != sk_c8 )
| ( inverse(iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_15471,c_538]) ).
tcf(c_15841,plain,
multiply(sk_c3,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_10999,c_94]) ).
tcf(c_15844,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_10999,c_10809]) ).
tcf(c_15845,plain,
multiply(sk_c3,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_10999,c_12128]) ).
tcf(c_15855,plain,
( ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1894,c_15841]) ).
tcf(c_16094,plain,
( ( sk_c10 = iPr_def_20 )
| ( multiply(iPr_def_14,sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4813,c_4695]) ).
tcf(c_16109,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_16094,c_1087]) ).
tcf(c_16236,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_14,sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4813,c_4696]) ).
tcf(c_16251,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_16236,c_1087]) ).
tcf(c_16471,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_15855,c_569]) ).
tcf(c_16473,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_15855,c_566]) ).
tcf(c_16581,plain,
! [X0: $i] :
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != inverse(X0) )
| ( sk_c9 != inverse(X0) ) ),
inference(instantiation,[status(thm)],[c_1098]) ).
tcf(c_16582,plain,
( ( iPr_def_14 = sk_c9 )
| ( iPr_def_14 != inverse(sk_c10) )
| ( sk_c9 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_16581]) ).
tcf(c_16820,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != inverse(sk_c10) )
| ( X0 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_4930]) ).
tcf(c_16821,plain,
( ( iPr_def_14 = sk_c10 )
| ( iPr_def_14 != inverse(sk_c10) )
| ( sk_c10 != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_16820]) ).
tcf(c_16830,plain,
inverse(iPr_def_21) = sk_c3,
inference(demodulation,[status(thm)],[c_15845,c_12128]) ).
tcf(c_17333,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_23 )
| ( sk_c9 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_548,c_13756]) ).
tcf(c_17449,plain,
( ( iPr_def_13 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_15519,c_532]) ).
tcf(c_17462,plain,
( ( iPr_def_13 = iPr_def_25 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_17449,c_15204]) ).
tcf(c_17934,plain,
! [X0: $i] :
( ( inverse(X0) = multiply(identity,sk_c9) )
| ( inverse(X0) != sk_c9 )
| ( multiply(identity,sk_c9) != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1689]) ).
tcf(c_17937,plain,
( ( inverse(sk_c10) = multiply(identity,sk_c9) )
| ( inverse(sk_c10) != sk_c9 )
| ( multiply(identity,sk_c9) != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_17934]) ).
tcf(c_18149,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_16471,c_1868,c_2870,c_2876,c_2877,c_7978,c_8930,c_11435]) ).
tcf(c_18343,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_16473,c_1868,c_2870,c_2876,c_2877,c_7409,c_8542,c_11435]) ).
tcf(c_18426,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18343,c_530]) ).
tcf(c_18434,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_18426,c_15841]) ).
tcf(c_18530,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18434,c_15221]) ).
tcf(c_19075,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_11000,c_94]) ).
tcf(c_19078,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_11000,c_10809]) ).
tcf(c_19088,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1777,c_19075]) ).
tcf(c_19089,plain,
( ( identity = iPr_def_20 )
| ( sk_c9 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_1338,c_19075]) ).
tcf(c_19090,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_1040,c_19075]) ).
tcf(c_19091,plain,
( ( identity = iPr_def_20 )
| ( sk_c10 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1038,c_19075]) ).
tcf(c_19163,plain,
( ~ iPr_def_11
| ( sk_c9 != identity )
| ( sk_c9 != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2728,c_12165]) ).
tcf(c_19174,plain,
( ( sk_c9 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_22 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm)],[c_567,c_19163]) ).
tcf(c_19642,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19089,c_19088]) ).
tcf(c_19891,plain,
( ( iPr_def_13 = iPr_def_25 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19091,c_19090]) ).
tcf(c_19920,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_19091,c_522]) ).
tcf(c_20077,plain,
multiply(sk_c4,sk_c7) = iPr_def_20,
inference(superposition,[status(thm)],[c_4513,c_19078]) ).
tcf(c_20262,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19642,c_12165]) ).
tcf(c_20264,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19642,c_93]) ).
tcf(c_20305,plain,
( ( iPr_def_13 = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19891,c_12165]) ).
tcf(c_20565,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_24 != iPr_def_21 )
| ( iPr_def_21 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_3504]) ).
tcf(c_22526,plain,
multiply(sk_c5,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_11002,c_94]) ).
tcf(c_22529,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_11002,c_10809]) ).
tcf(c_24545,plain,
multiply(sk_c1,iPr_def_25) = identity,
inference(superposition,[status(thm)],[c_11003,c_94]) ).
tcf(c_24549,plain,
multiply(sk_c1,identity) = inverse(iPr_def_25),
inference(superposition,[status(thm)],[c_11003,c_12128]) ).
tcf(c_24589,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_3559,c_24545]) ).
tcf(c_24796,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24589,c_93]) ).
tcf(c_24870,plain,
inverse(iPr_def_25) = sk_c1,
inference(demodulation,[status(thm)],[c_24549,c_12128]) ).
tcf(c_24873,plain,
( ( identity = iPr_def_20 )
| ( sk_c1 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_19920,c_24870]) ).
tcf(c_25206,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_14,sk_c10) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_24873,c_534]) ).
tcf(c_25209,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_25206,c_1087]) ).
tcf(c_26075,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != sk_c8 )
| ( inverse(iPr_def_20) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_20264,c_538]) ).
tcf(c_26172,plain,
multiply(iPr_def_14,iPr_def_23) = inverse(iPr_def_24),
inference(demodulation,[status(thm)],[c_15252,c_12128]) ).
tcf(c_26179,plain,
multiply(sk_c10,inverse(iPr_def_24)) = iPr_def_23,
inference(superposition,[status(thm)],[c_26172,c_14076]) ).
tcf(c_27490,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 = iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_12871,c_5656,c_8930,c_13756]) ).
tcf(c_28992,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c9) != sk_c10 )
| ( multiply(X0,inverse(X0)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24796,c_536]) ).
tcf(c_31032,plain,
( ( iPr_def_13 = identity )
| ( iPr_def_13 != iPr_def_26 )
| ( identity != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1764]) ).
tcf(c_31036,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_13 = multiply(X0,X1) )
| ( iPr_def_13 != iPr_def_26 )
| ( multiply(X0,X1) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_2163]) ).
tcf(c_31401,plain,
( ( identity = iPr_def_14 )
| ( iPr_def_14 != sk_c9 )
| ( identity != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_11446]) ).
tcf(c_32294,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_20262,c_4072]) ).
tcf(c_39225,plain,
( ( identity = sk_c9 )
| ( identity != iPr_def_26 )
| ( sk_c9 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1797]) ).
tcf(c_40776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X1) = inverse(X3) )
| ( inverse(X3) != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_2612]) ).
tcf(c_40779,plain,
( ( multiply(sk_c10,sk_c10) = inverse(sk_c10) )
| ( inverse(sk_c10) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_40776]) ).
tcf(c_55033,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 != iPr_def_14 )
| ( iPr_def_13 != iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_17333,c_2650,c_2933,c_7675,c_7978,c_13751,c_13756]) ).
tcf(c_55034,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_23 )
| ( sk_c9 != iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_55033]) ).
tcf(c_55067,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_24 )
| ( iPr_def_13 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_579,c_55034]) ).
tcf(c_57171,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_26 )
| ~ iPr_def_11
| ( identity != iPr_def_24 )
| ( sk_c9 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_18149,c_19174]) ).
tcf(c_59750,plain,
( ( sk_c9 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_55067,c_1118,c_1212,c_1322,c_8930]) ).
tcf(c_59969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X1) = inverse(X3) )
| ( inverse(X3) != multiply(identity,inverse(X2)) )
| ( multiply(X0,X1) != multiply(identity,inverse(X2)) ) ),
inference(instantiation,[status(thm)],[c_7503]) ).
tcf(c_59972,plain,
( ( multiply(sk_c10,sk_c10) = inverse(sk_c10) )
| ( inverse(sk_c10) != multiply(identity,inverse(sk_c10)) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,inverse(sk_c10)) ) ),
inference(instantiation,[status(thm)],[c_59969]) ).
tcf(c_66877,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(X0) )
| ( X1 != iPr_def_13 )
| ( inverse(X0) != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_2612]) ).
tcf(c_66878,plain,
( ( sk_c10 = inverse(sk_c10) )
| ( sk_c10 != iPr_def_13 )
| ( inverse(sk_c10) != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_66877]) ).
tcf(c_67540,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_14 )
| ( iPr_def_14 != X0 )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_1116]) ).
tcf(c_67541,plain,
( ( sk_c9 = iPr_def_14 )
| ( iPr_def_14 != sk_c10 )
| ( sk_c9 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_67540]) ).
tcf(c_68894,plain,
( ( identity = sk_c9 )
| ( identity != iPr_def_24 )
| ( sk_c9 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_70826,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( sk_c9 != sk_c8 ) ),
inference(superposition,[status(thm)],[c_15469,c_15623]) ).
tcf(c_71991,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c9 )
| ( sk_c9 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_1468]) ).
tcf(c_71992,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( sk_c9 != sk_c10 )
| ( inverse(sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_71991]) ).
tcf(c_72737,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = inverse(X0) )
| ( sk_c9 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_2612]) ).
tcf(c_72738,plain,
( ( sk_c9 = inverse(sk_c10) )
| ( sk_c9 != sk_c10 )
| ( inverse(sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_72737]) ).
tcf(c_74024,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_26075,c_18149,c_70826]) ).
tcf(c_74033,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_567,c_74024]) ).
tcf(c_74040,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c9 != iPr_def_22 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_74033,c_1868,c_2870,c_2876,c_2877,c_11435,c_13286,c_15221,c_57171]) ).
tcf(c_74041,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_74040]) ).
tcf(c_74051,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18149,c_74041]) ).
tcf(c_76962,plain,
! [X0: $i] :
( ( iPr_def_26 = inverse(X0) )
| ( iPr_def_26 != iPr_def_14 )
| ( inverse(X0) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_5437]) ).
tcf(c_76963,plain,
( ( iPr_def_26 = inverse(sk_c10) )
| ( iPr_def_26 != iPr_def_14 )
| ( inverse(sk_c10) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_76962]) ).
tcf(c_81385,plain,
! [X0: $i] :
( ( iPr_def_13 = multiply(identity,inverse(X0)) )
| ( iPr_def_13 != iPr_def_26 )
| ( multiply(identity,inverse(X0)) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_31036]) ).
tcf(c_81386,plain,
( ( iPr_def_13 = multiply(identity,inverse(sk_c10)) )
| ( iPr_def_13 != iPr_def_26 )
| ( multiply(identity,inverse(sk_c10)) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_81385]) ).
tcf(c_82667,plain,
( ( sk_c9 = identity )
| ( identity != sk_c9 )
| ( sk_c9 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_1117]) ).
tcf(c_82873,plain,
! [X0: $i] :
( ( inverse(X0) = identity )
| ( identity != iPr_def_14 )
| ( inverse(X0) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_5439]) ).
tcf(c_82875,plain,
( ( inverse(sk_c10) = identity )
| ( identity != iPr_def_14 )
| ( inverse(sk_c10) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_82873]) ).
tcf(c_84548,plain,
! [X0: $i] :
( ( sk_c10 = identity )
| ( identity != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_84549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_c10 = multiply(X0,X1) )
| ( sk_c10 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_84554,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_84565,plain,
! [X0: $i,X1: $i] :
( ( identity = X0 )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_84595,plain,
! [X0: $i] :
( ( sk_c10 = multiply(identity,X0) )
| ( sk_c10 != X0 )
| ( multiply(identity,X0) != X0 ) ),
inference(instantiation,[status(thm)],[c_84549]) ).
tcf(c_84596,plain,
( ( sk_c10 = multiply(identity,sk_c10) )
| ( sk_c10 != sk_c10 )
| ( multiply(identity,sk_c10) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_84595]) ).
tcf(c_84602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X1) = X3 )
| ( X3 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_84603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sk_c10 = multiply(X0,X1) )
| ( sk_c10 != multiply(X2,X3) )
| ( multiply(X0,X1) != multiply(X2,X3) ) ),
inference(instantiation,[status(thm)],[c_84549]) ).
tcf(c_84631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_84643,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_84662,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_84565]) ).
tcf(c_84708,plain,
! [X0: $i,X1: $i] :
( ( multiply(identity,X0) = X1 )
| ( X1 != X0 )
| ( multiply(identity,X0) != X0 ) ),
inference(instantiation,[status(thm)],[c_84602]) ).
tcf(c_84711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = X2 )
| ( X2 != multiply(X0,X1) )
| ( multiply(X0,X1) != multiply(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_84602]) ).
tcf(c_84712,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X0,X1),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_84714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( multiply(X0,X1) = X4 )
| ( X4 != multiply(X2,X3) )
| ( multiply(X0,X1) != multiply(X2,X3) ) ),
inference(instantiation,[status(thm)],[c_84602]) ).
tcf(c_84723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_c10 = multiply(X0,X1) )
| ( sk_c10 != multiply(identity,X2) )
| ( multiply(X0,X1) != multiply(identity,X2) ) ),
inference(instantiation,[status(thm)],[c_84603]) ).
tcf(c_84724,plain,
( ( sk_c10 = multiply(sk_c10,sk_c10) )
| ( sk_c10 != multiply(identity,sk_c10) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_84723]) ).
tcf(c_84754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = inverse(X0) )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_84886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,sk_c9) = multiply(X1,X2) )
| ( sk_c9 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_84888,plain,
( ( multiply(sk_c10,sk_c9) = multiply(sk_c10,sk_c10) )
| ( sk_c9 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_84886]) ).
tcf(c_85107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = multiply(identity,X2) )
| ( X1 != X2 )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_85108,plain,
( ( multiply(sk_c10,sk_c10) = multiply(identity,sk_c10) )
| ( sk_c10 != identity )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_85107]) ).
tcf(c_85131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = multiply(X0,X1) )
| ( X3 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_85133,plain,
( ( multiply(sk_c8,sk_c9) = iPr_def_13 )
| ( iPr_def_13 != multiply(sk_c8,sk_c9) )
| ( multiply(sk_c8,sk_c9) != multiply(sk_c8,sk_c9) ) ),
inference(instantiation,[status(thm)],[c_84711]) ).
tcf(c_85187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = sk_c10 )
| ( sk_c10 != multiply(identity,X2) )
| ( multiply(X0,X1) != multiply(identity,X2) ) ),
inference(instantiation,[status(thm)],[c_84714]) ).
tcf(c_85188,plain,
( ( multiply(sk_c10,sk_c10) = sk_c10 )
| ( sk_c10 != multiply(identity,sk_c10) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_85187]) ).
tcf(c_85351,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_85360,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_26 )
| ( iPr_def_26 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_85363,plain,
! [X0: $i] :
( ( multiply(identity,X0) = iPr_def_26 )
| ( iPr_def_26 != X0 )
| ( multiply(identity,X0) != X0 ) ),
inference(instantiation,[status(thm)],[c_84708]) ).
tcf(c_86407,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,sk_c9) = multiply(X1,iPr_def_26) )
| ( sk_c9 != iPr_def_26 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_84886]) ).
tcf(c_86904,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c8,sk_c9),
inference(instantiation,[status(thm)],[c_84712]) ).
tcf(c_86914,plain,
! [X0: $i] :
( ( multiply(sk_c4,sk_c7) = X0 )
| ( X0 != iPr_def_20 )
| ( multiply(sk_c4,sk_c7) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_84602]) ).
tcf(c_86915,plain,
( ( sk_c10 = multiply(sk_c4,sk_c7) )
| ( sk_c10 != iPr_def_20 )
| ( multiply(sk_c4,sk_c7) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_84549]) ).
tcf(c_87284,plain,
! [X0: $i] :
( ( X0 = multiply(sk_c4,sk_c7) )
| ( X0 != iPr_def_20 )
| ( multiply(sk_c4,sk_c7) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_85131]) ).
tcf(c_87964,plain,
! [X0: $i] :
( ( inverse(sk_c10) = X0 )
| ( X0 != iPr_def_14 )
| ( inverse(sk_c10) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_84631]) ).
tcf(c_87992,plain,
! [X0: $i] :
( ( sk_c10 = multiply(X0,iPr_def_26) )
| ( sk_c10 != iPr_def_13 )
| ( multiply(X0,iPr_def_26) != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_84549]) ).
tcf(c_88161,plain,
! [X0: $i] :
( ( multiply(X0,sk_c9) = multiply(identity,iPr_def_26) )
| ( sk_c9 != iPr_def_26 )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_86407]) ).
tcf(c_88162,plain,
! [X0: $i] :
( ( multiply(X0,sk_c9) = sk_c10 )
| ( sk_c10 != multiply(identity,iPr_def_26) )
| ( multiply(X0,sk_c9) != multiply(identity,iPr_def_26) ) ),
inference(instantiation,[status(thm)],[c_85187]) ).
tcf(c_88164,plain,
( ( multiply(sk_c10,sk_c9) = multiply(identity,iPr_def_26) )
| ( sk_c9 != iPr_def_26 )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_88161]) ).
tcf(c_88166,plain,
( ( multiply(sk_c10,sk_c9) = sk_c10 )
| ( sk_c10 != multiply(identity,iPr_def_26) )
| ( multiply(sk_c10,sk_c9) != multiply(identity,iPr_def_26) ) ),
inference(instantiation,[status(thm)],[c_88162]) ).
tcf(c_92140,plain,
! [X0: $i] :
( ( X0 = multiply(sk_c8,sk_c9) )
| ( X0 != iPr_def_13 )
| ( multiply(sk_c8,sk_c9) != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_85131]) ).
tcf(c_92142,plain,
( ( sk_c10 = multiply(sk_c8,sk_c9) )
| ( sk_c10 != iPr_def_13 )
| ( multiply(sk_c8,sk_c9) != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_84549]) ).
tcf(c_96922,plain,
( ( sk_c10 = multiply(identity,iPr_def_26) )
| ( sk_c10 != iPr_def_13 )
| ( multiply(identity,iPr_def_26) != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_87992]) ).
tcf(c_96923,plain,
( ( multiply(identity,iPr_def_26) = iPr_def_13 )
| ( iPr_def_13 != iPr_def_26 )
| ( multiply(identity,iPr_def_26) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_84708]) ).
tcf(c_99442,plain,
! [X0: $i] :
( ( X0 = iPr_def_26 )
| ( iPr_def_26 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_85360]) ).
tcf(c_99451,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_26 )
| ( X0 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_85351]) ).
tcf(c_99952,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = inverse(sk_c10) )
| ( inverse(sk_c10) != multiply(identity,sk_c9) )
| ( multiply(X0,X1) != multiply(identity,sk_c9) ) ),
inference(instantiation,[status(thm)],[c_84714]) ).
tcf(c_99953,plain,
( ( multiply(sk_c10,sk_c10) = inverse(sk_c10) )
| ( inverse(sk_c10) != multiply(identity,sk_c9) )
| ( multiply(sk_c10,sk_c10) != multiply(identity,sk_c9) ) ),
inference(instantiation,[status(thm)],[c_99952]) ).
tcf(c_101217,plain,
( ( multiply(sk_c4,sk_c7) = iPr_def_14 )
| ( iPr_def_14 != iPr_def_20 )
| ( multiply(sk_c4,sk_c7) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_86914]) ).
tcf(c_101218,plain,
( ( inverse(sk_c10) = multiply(sk_c4,sk_c7) )
| ( inverse(sk_c10) != iPr_def_14 )
| ( multiply(sk_c4,sk_c7) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_87964]) ).
tcf(c_103082,plain,
( ( multiply(identity,inverse(sk_c10)) = iPr_def_26 )
| ( iPr_def_26 != inverse(sk_c10) )
| ( multiply(identity,inverse(sk_c10)) != inverse(sk_c10) ) ),
inference(instantiation,[status(thm)],[c_85363]) ).
tcf(c_103645,plain,
( ( iPr_def_26 = iPr_def_14 )
| ( iPr_def_26 != iPr_def_26 )
| ( iPr_def_14 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_99451]) ).
tcf(c_103787,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(X0) )
| ( X1 != multiply(sk_c4,sk_c7) )
| ( inverse(X0) != multiply(sk_c4,sk_c7) ) ),
inference(instantiation,[status(thm)],[c_84754]) ).
tcf(c_103790,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = X1 )
| ( X1 != multiply(sk_c4,sk_c7) )
| ( inverse(X0) != multiply(sk_c4,sk_c7) ) ),
inference(instantiation,[status(thm)],[c_84631]) ).
tcf(c_103794,plain,
( ( inverse(sk_c10) = sk_c10 )
| ( sk_c10 != multiply(sk_c4,sk_c7) )
| ( inverse(sk_c10) != multiply(sk_c4,sk_c7) ) ),
inference(instantiation,[status(thm)],[c_103790]) ).
tcf(c_103797,plain,
( ( sk_c10 = inverse(sk_c10) )
| ( sk_c10 != multiply(sk_c4,sk_c7) )
| ( inverse(sk_c10) != multiply(sk_c4,sk_c7) ) ),
inference(instantiation,[status(thm)],[c_103787]) ).
tcf(c_103819,plain,
( ( identity = multiply(sk_c4,sk_c7) )
| ( identity != iPr_def_20 )
| ( multiply(sk_c4,sk_c7) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_87284]) ).
tcf(c_103823,plain,
( ( sk_c10 = identity )
| ( identity != multiply(sk_c4,sk_c7) )
| ( sk_c10 != multiply(sk_c4,sk_c7) ) ),
inference(instantiation,[status(thm)],[c_84548]) ).
tcf(c_105367,plain,
( ( identity = multiply(sk_c8,sk_c9) )
| ( identity != iPr_def_13 )
| ( multiply(sk_c8,sk_c9) != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_92140]) ).
tcf(c_105371,plain,
( ( sk_c10 = identity )
| ( identity != multiply(sk_c8,sk_c9) )
| ( sk_c10 != multiply(sk_c8,sk_c9) ) ),
inference(instantiation,[status(thm)],[c_84548]) ).
tcf(c_110634,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_11055,c_10809]) ).
tcf(c_110635,plain,
! [X0: $i] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_11055,c_12128]) ).
tcf(c_110636,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_110635,c_12128]) ).
tcf(c_110764,plain,
inverse(inverse(sk_c10)) = sk_c10,
inference(instantiation,[status(thm)],[c_110636]) ).
tcf(c_120006,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,iPr_def_14)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_573,c_2730]) ).
tcf(c_120007,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,iPr_def_26)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_569,c_2730]) ).
tcf(c_120009,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,iPr_def_26)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_566,c_2730]) ).
tcf(c_126769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,sk_c9) = X3 )
| ( X3 != multiply(X1,X2) )
| ( multiply(X0,sk_c9) != multiply(X1,X2) ) ),
inference(instantiation,[status(thm)],[c_84714]) ).
tcf(c_126770,plain,
( ( multiply(sk_c10,sk_c9) = sk_c10 )
| ( sk_c10 != multiply(sk_c10,sk_c10) )
| ( multiply(sk_c10,sk_c9) != multiply(sk_c10,sk_c10) ) ),
inference(instantiation,[status(thm)],[c_126769]) ).
tcf(c_127456,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_5634,c_19078]) ).
tcf(c_127487,plain,
( ( identity = iPr_def_14 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_127456,c_14118]) ).
tcf(c_128011,plain,
( ( iPr_def_13 = iPr_def_25 )
| ( identity = iPr_def_14 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_127487,c_555]) ).
tcf(c_128012,plain,
( ( iPr_def_13 = iPr_def_25 )
| ( identity = iPr_def_14 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_127487,c_553]) ).
tcf(c_128382,plain,
( ( sk_c10 = iPr_def_20 )
| ( identity = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_128011,c_1796,c_1817,c_7314,c_16109,c_31401,c_39225]) ).
tcf(c_128383,plain,
( ( identity = iPr_def_14 )
| ( sk_c10 = iPr_def_20 ) ),
inference(renaming,[status(thm)],[c_128382]) ).
tcf(c_128441,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_128383,c_127487]) ).
tcf(c_128539,plain,
( ( identity = iPr_def_14 )
| ( inverse(iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_128383,c_522]) ).
tcf(c_129065,plain,
( ( sk_c10 = iPr_def_18 )
| ( identity = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_128012,c_1708,c_1796,c_6934,c_16251,c_31401,c_39225]) ).
tcf(c_129066,plain,
( ( identity = iPr_def_14 )
| ( sk_c10 = iPr_def_18 ) ),
inference(renaming,[status(thm)],[c_129065]) ).
tcf(c_129126,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_129066,c_127487]) ).
tcf(c_130357,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = X1 )
| ( X1 != identity )
| ( inverse(X0) != identity ) ),
inference(instantiation,[status(thm)],[c_84631]) ).
tcf(c_130358,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(X0) )
| ( X1 != identity )
| ( inverse(X0) != identity ) ),
inference(instantiation,[status(thm)],[c_84754]) ).
tcf(c_130359,plain,
( ( sk_c10 = inverse(sk_c10) )
| ( sk_c10 != identity )
| ( inverse(sk_c10) != identity ) ),
inference(instantiation,[status(thm)],[c_130358]) ).
tcf(c_130360,plain,
( ( inverse(sk_c10) = sk_c10 )
| ( sk_c10 != identity )
| ( inverse(sk_c10) != identity ) ),
inference(instantiation,[status(thm)],[c_130357]) ).
tcf(c_130362,plain,
! [X0: $i] :
( ( X0 = sk_c9 )
| ( sk_c9 != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_84643]) ).
tcf(c_130363,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_84554]) ).
tcf(c_130364,plain,
( ( sk_c9 = sk_c10 )
| ( sk_c9 != identity )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_130363]) ).
tcf(c_130365,plain,
( ( sk_c10 = sk_c9 )
| ( sk_c9 != identity )
| ( sk_c10 != identity ) ),
inference(instantiation,[status(thm)],[c_130362]) ).
tcf(c_130404,plain,
! [X0: $i] :
( ( identity = iPr_def_14 )
| ( iPr_def_14 != X0 )
| ( identity != X0 ) ),
inference(instantiation,[status(thm)],[c_84565]) ).
tcf(c_130406,plain,
( ( identity = iPr_def_26 )
| ( iPr_def_26 != iPr_def_14 )
| ( identity != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_99442]) ).
tcf(c_130410,plain,
( ( identity = iPr_def_14 )
| ( iPr_def_14 != sk_c10 )
| ( identity != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_130404]) ).
tcf(c_131699,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_25 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_128539,c_20305]) ).
tcf(c_131781,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_128441,c_12165]) ).
tcf(c_131784,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_131781,c_14531]) ).
tcf(c_132130,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_129126,c_12165]) ).
tcf(c_132133,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_132130,c_14531]) ).
tcf(c_132516,plain,
( ( identity = iPr_def_13 )
| ( iPr_def_13 != identity )
| ( identity != identity ) ),
inference(instantiation,[status(thm)],[c_84662]) ).
tcf(c_133207,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 != iPr_def_14 )
| ( sk_c9 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_131784,c_13756]) ).
tcf(c_133244,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_131784,c_545]) ).
tcf(c_134131,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_132133,c_545]) ).
tcf(c_138038,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( sk_c10 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_133244,c_137,c_584,c_586,c_522,c_1118,c_2615,c_2652,c_2933,c_5656,c_5948,c_7675,c_7978,c_13419,c_13751,c_14542,c_15222,c_16821,c_19090,c_20077,c_40779,c_67541,c_68894,c_82667,c_82875,c_84596,c_84724,c_84888,c_85108,c_85188,c_86915,c_103819,c_103823,c_110764,c_126770,c_127487,c_130359,c_130360,c_130364,c_134131]) ).
tcf(c_138199,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_25 )
| ( sk_c10 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_138038,c_555]) ).
tcf(c_140880,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_13 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_5666,c_15844]) ).
tcf(c_140910,plain,
( ( sk_c9 = iPr_def_13 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_140880,c_876]) ).
tcf(c_140927,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_140880,c_3451]) ).
tcf(c_141594,plain,
sk_c10 = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_140910,c_137,c_584,c_586,c_522,c_1099,c_1118,c_1456,c_2615,c_2651,c_5656,c_5668,c_5948,c_11433,c_13419,c_13753,c_14542,c_15222,c_16821,c_19090,c_20077,c_40779,c_67541,c_68894,c_82667,c_82875,c_84596,c_84724,c_84888,c_85108,c_85188,c_86915,c_103819,c_103823,c_110764,c_126770,c_127487,c_130359,c_130360,c_130364,c_133207,c_140927]) ).
tcf(c_141776,plain,
multiply(iPr_def_13,inverse(iPr_def_24)) = iPr_def_23,
inference(demodulation,[status(thm)],[c_26179,c_141594]) ).
tcf(c_141796,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_16251,c_141594]) ).
tcf(c_141798,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c9 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_13756,c_141594]) ).
tcf(c_141809,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(iPr_def_14,X0)) = X0,
inference(demodulation,[status(thm)],[c_14076,c_141594]) ).
tcf(c_141810,plain,
inverse(iPr_def_14) = iPr_def_13,
inference(demodulation,[status(thm)],[c_14531,c_141594]) ).
tcf(c_141819,plain,
( ( iPr_def_13 = iPr_def_25 )
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_13306,c_141594]) ).
tcf(c_141901,plain,
multiply(iPr_def_25,iPr_def_26) = iPr_def_13,
inference(demodulation,[status(thm)],[c_4813,c_141594]) ).
tcf(c_141903,plain,
multiply(iPr_def_23,iPr_def_24) = iPr_def_13,
inference(demodulation,[status(thm)],[c_4531,c_141594]) ).
tcf(c_141919,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_573,c_141594]) ).
tcf(c_141923,plain,
( ( iPr_def_13 = iPr_def_25 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_559,c_141594]) ).
tcf(c_141928,plain,
multiply(sk_c1,iPr_def_13) = iPr_def_26,
inference(demodulation,[status(thm)],[c_534,c_141594]) ).
tcf(c_142149,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 != iPr_def_14 ) ),
inference(equality_resolution_simp,[status(thm)],[c_141798]) ).
tcf(c_144667,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_138199,c_137,c_584,c_586,c_522,c_535,c_1094,c_1095,c_1099,c_1118,c_1456,c_2615,c_2651,c_2933,c_5656,c_5668,c_5948,c_7675,c_7978,c_11433,c_13419,c_13751,c_14542,c_15222,c_16821,c_17462,c_19090,c_19891,c_20077,c_40779,c_67541,c_68894,c_82667,c_82875,c_84596,c_84724,c_84888,c_85108,c_85188,c_86915,c_103819,c_103823,c_110764,c_126770,c_127487,c_130359,c_130360,c_130364,c_131699,c_133207,c_138199,c_140927,c_141819,c_141923]) ).
tcf(c_144700,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_144667,c_24545]) ).
tcf(c_144708,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_144700,c_141928]) ).
tcf(c_147803,plain,
iPr_def_14 = iPr_def_26,
inference(global_subsumption_just,[status(thm)],[c_3854,c_137,c_584,c_586,c_522,c_535,c_1094,c_1095,c_1099,c_1118,c_1124,c_1374,c_1456,c_1817,c_2615,c_2651,c_2933,c_5656,c_5668,c_5948,c_7675,c_7978,c_11433,c_13419,c_13751,c_14542,c_15222,c_15221,c_16582,c_16821,c_17937,c_18149,c_18530,c_19090,c_19642,c_20077,c_32294,c_40779,c_67541,c_68894,c_71992,c_72738,c_74051,c_82667,c_82875,c_84596,c_84724,c_84888,c_85108,c_85188,c_86915,c_99953,c_101217,c_101218,c_103794,c_103819,c_103823,c_110764,c_126770,c_127487,c_130359,c_130360,c_130364,c_130365,c_133207,c_140927]) ).
tcf(c_147812,plain,
multiply(iPr_def_25,iPr_def_14) = iPr_def_13,
inference(demodulation,[status(thm)],[c_141901,c_147803]) ).
tcf(c_148278,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(iPr_def_14,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_147812,c_95]) ).
tcf(c_150838,plain,
identity = iPr_def_26,
inference(global_subsumption_just,[status(thm)],[c_141796,c_137,c_584,c_586,c_522,c_535,c_1094,c_1095,c_1099,c_1118,c_1124,c_1374,c_1456,c_1759,c_1817,c_2615,c_2651,c_2877,c_2933,c_3674,c_5656,c_5668,c_5948,c_7675,c_7978,c_11433,c_13419,c_13751,c_14542,c_15222,c_15221,c_16109,c_16582,c_16821,c_17937,c_18149,c_18530,c_19090,c_19642,c_20077,c_25209,c_32294,c_40779,c_67541,c_68894,c_71992,c_72738,c_74051,c_82667,c_82875,c_84596,c_84724,c_84888,c_85108,c_85188,c_86915,c_99953,c_101217,c_101218,c_103645,c_103794,c_103797,c_103819,c_103823,c_110764,c_126770,c_127487,c_130359,c_130360,c_130364,c_130365,c_130410,c_130406,c_133207,c_140927,c_144708]) ).
tcf(c_150840,plain,
identity = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_150838,c_147803]) ).
tcf(c_150882,plain,
multiply(sk_c5,iPr_def_16) = iPr_def_14,
inference(demodulation,[status(thm)],[c_22526,c_150840]) ).
tcf(c_150897,plain,
inverse(iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_12165,c_150840]) ).
tcf(c_150898,plain,
! [X0: $i] : multiply(X0,iPr_def_14) = X0,
inference(demodulation,[status(thm)],[c_12128,c_150840]) ).
tcf(c_150909,plain,
iPr_def_13 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_150897,c_141810]) ).
tcf(c_150975,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c8 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_4258,c_150898]) ).
tcf(c_150985,plain,
sk_c2 = iPr_def_24,
inference(demodulation,[status(thm)],[c_14990,c_150898]) ).
tcf(c_150986,plain,
iPr_def_13 = iPr_def_25,
inference(demodulation,[status(thm)],[c_147812,c_150898]) ).
tcf(c_150991,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(iPr_def_14,X0)) = multiply(iPr_def_13,X0),
inference(demodulation,[status(thm)],[c_148278,c_150986]) ).
tcf(c_151033,plain,
! [X0: $i] : multiply(iPr_def_13,X0) = X0,
inference(light_normalisation,[status(thm)],[c_150991,c_141809]) ).
tcf(c_151036,plain,
inverse(iPr_def_24) = iPr_def_23,
inference(demodulation,[status(thm)],[c_141776,c_151033]) ).
tcf(c_151047,plain,
inverse(iPr_def_23) = iPr_def_24,
inference(demodulation,[status(thm)],[c_15256,c_150985]) ).
tcf(c_151082,plain,
iPr_def_13 = iPr_def_26,
inference(demodulation,[status(thm)],[c_147803,c_150909]) ).
tcf(c_151085,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_142149,c_150909]) ).
tcf(c_151087,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( sk_c9 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_141919,c_150909]) ).
tcf(c_151090,plain,
inverse(iPr_def_13) = iPr_def_13,
inference(demodulation,[status(thm)],[c_141810,c_150909]) ).
tcf(c_151094,plain,
( ( sk_c9 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_59750,c_150909]) ).
tcf(c_151122,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c9 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2116,c_150909]) ).
tcf(c_151127,plain,
( ( sk_c9 = iPr_def_21 )
| ( sk_c9 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_576,c_150909]) ).
tcf(c_151387,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( multiply(X0,multiply(X1,iPr_def_14)) != sk_c8 )
| ( inverse(multiply(X0,X1)) != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_120006,c_137,c_584,c_586,c_521,c_522,c_535,c_1094,c_1095,c_1099,c_1118,c_1124,c_1374,c_1456,c_1759,c_1817,c_2609,c_2610,c_2615,c_2651,c_2875,c_2877,c_2933,c_3674,c_5656,c_5668,c_5948,c_6934,c_7675,c_7978,c_11433,c_12829,c_13419,c_13751,c_14542,c_15222,c_15221,c_15593,c_15599,c_16109,c_16582,c_16821,c_17937,c_18149,c_18530,c_19090,c_19642,c_20077,c_25209,c_31032,c_32294,c_40779,c_59972,c_66878,c_67541,c_68894,c_71992,c_72738,c_74051,c_76963,c_81386,c_82667,c_82875,c_84596,c_84724,c_84888,c_85108,c_85133,c_85188,c_86904,c_86915,c_88164,c_88166,c_92142,c_96922,c_96923,c_99953,c_101217,c_101218,c_103082,c_103645,c_103794,c_103797,c_103819,c_103823,c_105367,c_105371,c_110764,c_120006,c_126770,c_127487,c_130359,c_130360,c_130364,c_130365,c_130410,c_130406,c_132516,c_133207,c_140927,c_144708,c_151082]) ).
tcf(c_151388,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_18 )
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,iPr_def_14)) != sk_c8 ) ),
inference(renaming,[status(thm)],[c_151387]) ).
tcf(c_151390,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_13 = iPr_def_18 )
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,iPr_def_13)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151388,c_141594,c_150909]) ).
tcf(c_151416,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( sk_c8 != iPr_def_13 )
| ( inverse(multiply(sk_c5,iPr_def_16)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_22529,c_151390]) ).
tcf(c_151420,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( sk_c8 != iPr_def_13 )
| ( sk_c9 != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_151416,c_150882,c_150909,c_151090]) ).
tcf(c_151479,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( multiply(X0,multiply(X1,iPr_def_26)) != sk_c8 )
| ( inverse(multiply(X0,X1)) != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_120007,c_137,c_584,c_586,c_521,c_522,c_535,c_1094,c_1095,c_1099,c_1118,c_1124,c_1374,c_1456,c_1759,c_1817,c_2609,c_2610,c_2615,c_2651,c_2875,c_2877,c_2933,c_3674,c_5656,c_5668,c_5948,c_7675,c_7978,c_11433,c_13419,c_13751,c_14542,c_15222,c_15221,c_15593,c_15599,c_16109,c_16582,c_16821,c_17937,c_18149,c_18530,c_19090,c_19642,c_20077,c_25209,c_27490,c_31032,c_32294,c_40779,c_59972,c_66878,c_67541,c_68894,c_71992,c_72738,c_74051,c_76963,c_81386,c_82667,c_82875,c_84596,c_84724,c_84888,c_85108,c_85133,c_85188,c_86904,c_86915,c_88164,c_88166,c_92142,c_96922,c_96923,c_99953,c_101217,c_101218,c_103082,c_103645,c_103794,c_103797,c_103819,c_103823,c_105367,c_105371,c_110764,c_120007,c_126770,c_127487,c_130359,c_130360,c_130364,c_130365,c_130410,c_130406,c_132516,c_133207,c_140927,c_144708,c_151082]) ).
tcf(c_151480,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,iPr_def_26)) != sk_c8 ) ),
inference(renaming,[status(thm)],[c_151479]) ).
tcf(c_151482,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_24 )
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,iPr_def_13)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151480,c_151082]) ).
tcf(c_151508,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c8 != iPr_def_13 )
| ( inverse(multiply(sk_c5,iPr_def_16)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_22529,c_151482]) ).
tcf(c_151512,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c8 != iPr_def_13 )
| ( sk_c9 != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_151508,c_150882,c_150909,c_151090]) ).
tcf(c_151639,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_21 )
| ( multiply(X0,multiply(X1,iPr_def_26)) != sk_c8 )
| ( inverse(multiply(X0,X1)) != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_120009,c_137,c_584,c_586,c_521,c_522,c_535,c_1094,c_1095,c_1099,c_1118,c_1124,c_1374,c_1456,c_1759,c_1817,c_2609,c_2610,c_2615,c_2651,c_2875,c_2877,c_2933,c_3674,c_5656,c_5668,c_5948,c_7409,c_7675,c_7978,c_8542,c_11433,c_13419,c_13751,c_13756,c_14542,c_15222,c_15221,c_15593,c_15599,c_16109,c_16582,c_16821,c_17937,c_18149,c_18530,c_19090,c_19642,c_20077,c_25209,c_31032,c_32294,c_40779,c_59972,c_66878,c_67541,c_68894,c_71992,c_72738,c_74051,c_76963,c_81386,c_82667,c_82875,c_84596,c_84724,c_84888,c_85108,c_85133,c_85188,c_86904,c_86915,c_88164,c_88166,c_92142,c_96922,c_96923,c_99953,c_101217,c_101218,c_103082,c_103645,c_103794,c_103797,c_103819,c_103823,c_105367,c_105371,c_110764,c_120009,c_126770,c_127487,c_130359,c_130360,c_130364,c_130365,c_130410,c_130406,c_132516,c_133207,c_140927,c_144708,c_151082]) ).
tcf(c_151640,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_21 )
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,iPr_def_26)) != sk_c8 ) ),
inference(renaming,[status(thm)],[c_151639]) ).
tcf(c_151642,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_21 )
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,iPr_def_13)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_151640,c_151082]) ).
tcf(c_151668,plain,
( ( sk_c9 = iPr_def_21 )
| ( sk_c8 != iPr_def_13 )
| ( inverse(multiply(sk_c5,iPr_def_16)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_22529,c_151642]) ).
tcf(c_151672,plain,
( ( sk_c9 = iPr_def_21 )
| ( sk_c8 != iPr_def_13 )
| ( sk_c9 != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_151668,c_150882,c_150909,c_151090]) ).
tcf(c_152821,plain,
iPr_def_21 = iPr_def_24,
inference(global_subsumption_just,[status(thm)],[c_28992,c_1581,c_1582,c_1588,c_1589,c_4551,c_20565,c_151122,c_150975,c_151512,c_151672]) ).
tcf(c_152823,plain,
inverse(iPr_def_23) = iPr_def_21,
inference(demodulation,[status(thm)],[c_151047,c_152821]) ).
tcf(c_152824,plain,
inverse(iPr_def_21) = iPr_def_23,
inference(demodulation,[status(thm)],[c_151036,c_152821]) ).
tcf(c_152828,plain,
multiply(iPr_def_23,iPr_def_21) = iPr_def_13,
inference(demodulation,[status(thm)],[c_141903,c_152821]) ).
tcf(c_152831,plain,
sk_c3 = iPr_def_23,
inference(demodulation,[status(thm)],[c_16830,c_152824]) ).
tcf(c_152837,plain,
multiply(iPr_def_23,sk_c9) = iPr_def_22,
inference(demodulation,[status(thm)],[c_530,c_152831]) ).
tcf(c_153258,plain,
! [X0: $i] : multiply(X0,iPr_def_13) = X0,
inference(light_normalisation,[status(thm)],[c_150898,c_150909]) ).
tcf(c_153263,plain,
inverse(sk_c8) = sk_c9,
inference(demodulation,[status(thm)],[c_10849,c_153258]) ).
tcf(c_153284,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = iPr_def_13,
inference(superposition,[status(thm)],[c_153258,c_110634]) ).
tcf(c_153298,plain,
inverse(sk_c9) = sk_c8,
inference(superposition,[status(thm)],[c_153263,c_110636]) ).
tcf(c_153458,plain,
! [X0: $i] :
( ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_15607,c_137,c_584,c_586,c_521,c_522,c_535,c_1094,c_1095,c_1099,c_1118,c_1124,c_1374,c_1456,c_1759,c_1817,c_2609,c_2610,c_2615,c_2651,c_2875,c_2877,c_2933,c_3674,c_5656,c_5668,c_5948,c_7675,c_7978,c_11433,c_13419,c_13751,c_14542,c_15222,c_15221,c_15593,c_15599,c_15607,c_16109,c_16582,c_16821,c_17937,c_18149,c_18530,c_19090,c_19642,c_20077,c_25209,c_31032,c_32294,c_40779,c_59972,c_66878,c_67541,c_68894,c_71992,c_72738,c_74051,c_76963,c_81386,c_82667,c_82875,c_84596,c_84724,c_84888,c_85108,c_85133,c_85188,c_86904,c_86915,c_88164,c_88166,c_92142,c_96922,c_96923,c_99953,c_101217,c_101218,c_103082,c_103645,c_103794,c_103797,c_103819,c_103823,c_105367,c_105371,c_110764,c_126770,c_127487,c_130359,c_130360,c_130364,c_130365,c_130410,c_130406,c_132516,c_133207,c_140927,c_144708,c_151082]) ).
tcf(c_153459,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(iPr_def_13,inverse(iPr_def_13)) != sk_c10 )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(renaming,[status(thm)],[c_153458]) ).
tcf(c_153461,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_13) )
| ( multiply(inverse(iPr_def_13),sk_c9) != sk_c10 ) ),
inference(ground_joinability,[status(thm)],[c_153459,c_141594,c_153284]) ).
tcf(c_153462,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( X0 != iPr_def_13 )
| ( inverse(X0) != X0 )
| ( multiply(iPr_def_13,sk_c9) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_153461,c_110636,c_141594,c_150909,c_151090,c_153258]) ).
tcf(c_153463,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( sk_c9 != iPr_def_13 )
| ( X0 != iPr_def_13 )
| ( inverse(X0) != X0 ) ),
inference(demodulation,[status(thm)],[c_153462,c_151033]) ).
tcf(c_153482,plain,
( ~ iPr_def_12
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c9 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_151090,c_153463]) ).
tcf(c_153490,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_13 ) ),
inference(equality_resolution_simp,[status(thm)],[c_153482]) ).
tcf(c_153499,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_18 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_6968,c_141594,c_151033,c_151082]) ).
tcf(c_153517,plain,
( ( iPr_def_13 = iPr_def_18 )
| ~ iPr_def_11
| ( inverse(sk_c7) != sk_c9 )
| ( multiply(iPr_def_18,sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_153499,c_538]) ).
tcf(c_153557,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_18 )
| ( multiply(sk_c8,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_6991,c_141594,c_151033,c_151082]) ).
tcf(c_153577,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_153557,c_153258]) ).
tcf(c_153612,plain,
iPr_def_13 = iPr_def_18,
inference(global_subsumption_just,[status(thm)],[c_153517,c_151087,c_151420,c_153577]) ).
tcf(c_153945,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c7,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_7477,c_151033,c_151082,c_153612]) ).
tcf(c_153958,plain,
( ( sk_c9 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c9 != sk_c8 )
| ( inverse(sk_c7) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_153945,c_538]) ).
tcf(c_154005,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c8,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_7523,c_151033,c_151082]) ).
tcf(c_154025,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c9 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_154005,c_153258]) ).
tcf(c_154122,plain,
sk_c9 = iPr_def_21,
inference(global_subsumption_just,[status(thm)],[c_153958,c_1581,c_1582,c_1588,c_1589,c_4551,c_11626,c_20565,c_151122,c_151127,c_150975,c_151512,c_151672,c_154025]) ).
tcf(c_154124,plain,
multiply(iPr_def_23,iPr_def_21) = iPr_def_22,
inference(demodulation,[status(thm)],[c_152837,c_154122]) ).
tcf(c_154131,plain,
inverse(iPr_def_21) = sk_c8,
inference(demodulation,[status(thm)],[c_153298,c_154122]) ).
tcf(c_154146,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != iPr_def_21 )
| ( multiply(X0,iPr_def_21) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_538,c_154122]) ).
tcf(c_154148,plain,
sk_c8 = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_154131,c_152824]) ).
tcf(c_154151,plain,
iPr_def_13 = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_154124,c_152828]) ).
tcf(c_154196,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != iPr_def_21 )
| ( multiply(X0,iPr_def_21) != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_154146,c_154148]) ).
tcf(c_154208,plain,
( ~ iPr_def_11
| ( iPr_def_13 != iPr_def_23 )
| ( inverse(iPr_def_23) != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_152828,c_154196]) ).
tcf(c_154209,plain,
( ~ iPr_def_11
| ( iPr_def_13 != iPr_def_23 ) ),
inference(ground_joinability,[status(thm)],[c_154208,c_152823]) ).
tcf(c_154234,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_23 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_7673,c_141594,c_151033,c_151082,c_152831,c_154151]) ).
tcf(c_154247,plain,
iPr_def_13 = iPr_def_23,
inference(superposition,[status(thm)],[c_154234,c_153258]) ).
tcf(c_154254,plain,
inverse(iPr_def_13) = iPr_def_21,
inference(demodulation,[status(thm)],[c_152823,c_154247]) ).
tcf(c_154256,plain,
iPr_def_13 = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_154254,c_151090]) ).
tcf(c_154259,plain,
iPr_def_13 = iPr_def_24,
inference(demodulation,[status(thm)],[c_152821,c_154256]) ).
tcf(c_154263,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_154247,c_154259,c_154209,c_153490,c_151094,c_151085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP377-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 14:36:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 26.66/4.30 % SZS status Started for theBenchmark.p
% 26.66/4.30 % SZS status Unsatisfiable for theBenchmark.p
% 26.66/4.30
% 26.66/4.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.66/4.30
% 26.66/4.30 % ------ iProver source info
% 26.66/4.30
% 26.66/4.30 % git: date: 2026-07-19 20:42:38 +0200
% 26.66/4.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.66/4.30 % git: non_committed_changes: false
% 26.66/4.30
% 26.66/4.30 % ------ Parsing...% successful
% 26.66/4.30
% 26.66/4.30
% 26.66/4.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.66/4.30
% 26.66/4.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 26.66/4.30
% 26.66/4.30 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 26.66/4.30
% 26.66/4.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 26.66/4.30 % ------ Proving...
% 26.66/4.30 % ------ Problem Properties
% 26.66/4.30
% 26.66/4.30 %
% 26.66/4.30 % clauses 61
% 26.66/4.30 % conjectures 44
% 26.66/4.30 % EPR 41
% 26.66/4.30 % Horn 20
% 26.66/4.30 % unary 17
% 26.66/4.30 % binary 40
% 26.66/4.30 % lits 113
% 26.66/4.30 % lits eq 107
% 26.66/4.30 % fd_pure 0
% 26.66/4.30 % fd_pseudo 0
% 26.66/4.30 % fd_cond 0
% 26.66/4.30 % fd_pseudo_cond 0
% 26.66/4.30 % AC symbols 0
% 26.66/4.30
% 26.66/4.30 % ------ Schedule dynamic 5 is on
% 26.66/4.30
% 26.66/4.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.66/4.30
% 26.66/4.30
% 26.66/4.30 % ------
% 26.66/4.30 % Current options:
% 26.66/4.30 % ------
% 26.66/4.30
% 26.66/4.30
% 26.66/4.30 %
% 26.66/4.30
% 26.66/4.30 % ------ Proving...
% 26.66/4.30 %
% 26.66/4.30
% 26.66/4.30 % SZS status Unsatisfiable for theBenchmark.p
% 26.66/4.30
% 26.66/4.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.66/4.32
% 26.66/4.32
%------------------------------------------------------------------------------