%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP322-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:32:50 PM UTC 2026
% Result : Unsatisfiable 11.25s 2.64s
% Output : CNFRefutation 11.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 52
% Syntax : Number of formulae : 346 ( 112 unt; 12 def)
% Number of atoms : 1090 ( 637 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 514 ( 166 ~; 348 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 2 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 : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 90 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c5) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f27,negated_conjecture,
( inverse(sk_c5) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c9 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c9 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f35]) ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c9 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c5) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c5) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c9 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X5) != sk_c9
| multiply(X5,sk_c9) != X4
| multiply(sk_c9,X4) != sk_c8
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c7
| inverse(X2) != sk_c9
| multiply(X2,sk_c9) != X1
| multiply(sk_c9,X1) != sk_c8
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1
| sk_c8 != multiply(sk_c9,X1)
| inverse(X0) != sk_c8
| sk_c9 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X2,X3,X0,X4,X5] :
( sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| inverse(X0) != sk_c8
| sk_c9 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(equality_resolution,[],[f78]) ).
fof(f80,plain,
! [X2,X3,X0,X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| inverse(X0) != sk_c8
| sk_c9 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(equality_resolution,[],[f79]) ).
tcf(c_89,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_90,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_95,negated_conjecture,
( ( multiply(sk_c9,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_96,negated_conjecture,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_113,negated_conjecture,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_114,negated_conjecture,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_116,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_117,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_119,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_120,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c9 )
| ( inverse(X2) != sk_c9 )
| ( inverse(X1) != sk_c9 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c9,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c9) != sk_c7 )
| ( multiply(X3,sk_c9) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c9 )
| ( multiply(sk_c9,multiply(X2,sk_c9)) != sk_c8 )
| ( multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_469,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).
tcf(c_470,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).
tcf(c_471,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_128]) ).
tcf(c_472,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c9,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_473,definition,
iPr_def_13 = multiply(sk_c8,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_474,definition,
iPr_def_14 = multiply(sk_c9,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_475,definition,
iPr_def_15 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_476,definition,
iPr_def_16 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_477,definition,
iPr_def_17 = multiply(sk_c5,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_478,definition,
iPr_def_18 = multiply(sk_c9,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_479,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_480,definition,
iPr_def_20 = multiply(sk_c4,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_481,definition,
iPr_def_21 = multiply(sk_c2,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_482,definition,
iPr_def_22 = multiply(sk_c9,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_483,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_484,definition,
iPr_def_24 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_485,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 != sk_c7 )
| ( iPr_def_13 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_472,c_474,c_473]) ).
tcf(c_487,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_471]) ).
tcf(c_488,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_470]) ).
tcf(c_489,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_469]) ).
tcf(c_490,negated_conjecture,
( ( iPr_def_16 = sk_c9 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_127,c_476,c_475]) ).
tcf(c_491,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_126,c_477]) ).
tcf(c_492,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_125,c_478]) ).
tcf(c_493,negated_conjecture,
( ( iPr_def_19 = sk_c9 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_124,c_479]) ).
tcf(c_494,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_123,c_480]) ).
tcf(c_495,negated_conjecture,
( ( iPr_def_16 = sk_c9 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_496,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_121,c_481]) ).
tcf(c_497,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_498,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_499,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_500,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_501,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_502,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_115,c_482]) ).
tcf(c_503,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_504,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_505,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_506,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_507,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_508,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_109,c_483]) ).
tcf(c_510,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_511,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_512,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_513,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_514,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_103,c_484]) ).
tcf(c_516,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_517,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_518,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_519,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_520,negated_conjecture,
( ( iPr_def_15 = sk_c9 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_521,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_522,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_523,negated_conjecture,
( ( iPr_def_19 = sk_c9 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_524,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_525,negated_conjecture,
( ( iPr_def_14 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_526,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_856,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c9,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_502,c_474]) ).
tcf(c_857,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_502,c_473]) ).
tcf(c_874,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c9,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_503,c_478]) ).
tcf(c_930,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c3) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_490,c_482]) ).
tcf(c_968,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_479,c_90]) ).
tcf(c_969,plain,
multiply(iPr_def_15,sk_c5) = identity,
inference(superposition,[status(thm)],[c_475,c_90]) ).
tcf(c_970,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_483,c_90]) ).
tcf(c_971,plain,
multiply(iPr_def_16,sk_c2) = identity,
inference(superposition,[status(thm)],[c_476,c_90]) ).
tcf(c_972,plain,
! [X0: $i] :
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != X0 )
| ( sk_c7 != X0 ) ),
inference(instantiation,[status(thm)],[c_527]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_527]) ).
tcf(c_999,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != sk_c7 )
| ( X0 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_975]) ).
tcf(c_1000,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_526]) ).
tcf(c_1018,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_508,c_484]) ).
tcf(c_1048,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_527]) ).
tcf(c_1050,plain,
( ( sk_c7 = iPr_def_14 )
| ( iPr_def_14 != sk_c7 )
| ( sk_c7 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_999]) ).
tcf(c_1053,plain,
( ( sk_c7 = iPr_def_13 )
| ( iPr_def_13 != sk_c7 )
| ( sk_c7 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_999]) ).
tcf(c_1076,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_510,c_484]) ).
tcf(c_1110,plain,
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c7 != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_972]) ).
tcf(c_1170,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_512,c_484]) ).
tcf(c_1203,plain,
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != iPr_def_14 )
| ( sk_c7 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_972]) ).
tcf(c_1204,plain,
! [X0: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1048]) ).
tcf(c_1220,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_514,c_481]) ).
tcf(c_1291,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_516,c_484]) ).
tcf(c_1387,plain,
( ( iPr_def_14 = sk_c7 )
| ( iPr_def_14 != iPr_def_14 )
| ( sk_c7 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1204]) ).
tcf(c_1388,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_526]) ).
tcf(c_1412,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_518,c_484]) ).
tcf(c_1627,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c7 = iPr_def_13 )
| ( sk_c8 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_525,c_524]) ).
tcf(c_1629,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c7 = iPr_def_13 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_525,c_522]) ).
tcf(c_1630,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c7 = iPr_def_13 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_525,c_520]) ).
tcf(c_1663,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_20 )
| ( sk_c7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_524,c_485]) ).
tcf(c_1665,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 )
| ( sk_c7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_522,c_485]) ).
tcf(c_1666,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c9 = iPr_def_15 )
| ( sk_c7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_520,c_485]) ).
tcf(c_1757,plain,
( ~ iPr_def_12
| ( sk_c8 != identity )
| ( inverse(inverse(sk_c9)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_90,c_487]) ).
tcf(c_1842,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_484,c_489]) ).
tcf(c_1844,plain,
( ~ iPr_def_10
| ( sk_c9 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_90,c_489]) ).
tcf(c_1860,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( sk_c8 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_1842,c_483]) ).
tcf(c_2021,plain,
( ~ iPr_def_11
| ( inverse(sk_c4) != sk_c9 )
| ( multiply(sk_c9,iPr_def_20) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_480,c_488]) ).
tcf(c_2022,plain,
( ~ iPr_def_11
| ( inverse(sk_c5) != sk_c9 )
| ( multiply(sk_c9,iPr_def_17) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_477,c_488]) ).
tcf(c_2025,plain,
( ~ iPr_def_11
| ( inverse(inverse(sk_c9)) != sk_c9 )
| ( multiply(sk_c9,identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_90,c_488]) ).
tcf(c_2037,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_15 )
| ( multiply(sk_c9,iPr_def_17) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2022,c_475]) ).
tcf(c_2041,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_19 )
| ( multiply(sk_c9,iPr_def_20) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2021,c_479]) ).
tcf(c_2072,plain,
iPr_def_13 = iPr_def_13,
inference(instantiation,[status(thm)],[c_526]) ).
tcf(c_2188,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_473,c_91]) ).
tcf(c_2189,plain,
! [X0: $i] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_474,c_91]) ).
tcf(c_2190,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_480,c_91]) ).
tcf(c_2191,plain,
! [X0: $i] : multiply(sk_c9,multiply(sk_c6,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_478,c_91]) ).
tcf(c_2192,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_477,c_91]) ).
tcf(c_2193,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_484,c_91]) ).
tcf(c_2194,plain,
! [X0: $i] : multiply(sk_c9,multiply(sk_c3,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_482,c_91]) ).
tcf(c_2195,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c9,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_481,c_91]) ).
tcf(c_2197,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_90,c_91]) ).
tcf(c_2199,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_968,c_91]) ).
tcf(c_2200,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_969,c_91]) ).
tcf(c_2201,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_970,c_91]) ).
tcf(c_2202,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_971,c_91]) ).
tcf(c_2207,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2202,c_89]) ).
tcf(c_2208,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2201,c_89]) ).
tcf(c_2209,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2200,c_89]) ).
tcf(c_2210,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2199,c_89]) ).
tcf(c_3000,plain,
multiply(iPr_def_16,iPr_def_21) = sk_c9,
inference(superposition,[status(thm)],[c_481,c_2207]) ).
tcf(c_3541,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_3000,c_91]) ).
tcf(c_3554,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c8,
inference(superposition,[status(thm)],[c_484,c_2208]) ).
tcf(c_3557,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3554,c_91]) ).
tcf(c_3559,plain,
multiply(iPr_def_15,iPr_def_17) = sk_c9,
inference(superposition,[status(thm)],[c_477,c_2209]) ).
tcf(c_3565,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_3559,c_91]) ).
tcf(c_3571,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c9,
inference(superposition,[status(thm)],[c_480,c_2210]) ).
tcf(c_3610,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_3571,c_91]) ).
tcf(c_4289,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_496,c_930]) ).
tcf(c_4291,plain,
( ( sk_c9 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4289,c_3000]) ).
tcf(c_4493,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_4291,c_857]) ).
tcf(c_4494,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4291,c_856]) ).
tcf(c_5547,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1018,c_2208]) ).
tcf(c_5548,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c8 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_5547,c_3554]) ).
tcf(c_6471,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1076,c_2208]) ).
tcf(c_6472,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6471,c_3554]) ).
tcf(c_7611,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1170,c_2208]) ).
tcf(c_7612,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_7611,c_3554]) ).
tcf(c_8037,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1220,c_2207]) ).
tcf(c_8038,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8037,c_3000]) ).
tcf(c_8268,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1291,c_2208]) ).
tcf(c_8269,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_8268,c_3554]) ).
tcf(c_8888,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1412,c_2208]) ).
tcf(c_8889,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_8888,c_3554]) ).
tcf(c_9991,plain,
multiply(sk_c8,iPr_def_18) = multiply(iPr_def_13,sk_c6),
inference(superposition,[status(thm)],[c_478,c_2188]) ).
tcf(c_9992,plain,
multiply(sk_c8,iPr_def_22) = multiply(iPr_def_13,sk_c3),
inference(superposition,[status(thm)],[c_482,c_2188]) ).
tcf(c_10000,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_13,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_874,c_2188]) ).
tcf(c_10623,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c3) = multiply(iPr_def_22,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_506,c_9992]) ).
tcf(c_10625,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c3) = multiply(iPr_def_22,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_504,c_9992]) ).
tcf(c_10626,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_13,sk_c3) = multiply(iPr_def_22,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_502,c_9992]) ).
tcf(c_10734,plain,
multiply(sk_c9,iPr_def_13) = multiply(iPr_def_14,sk_c9),
inference(superposition,[status(thm)],[c_473,c_2189]) ).
tcf(c_11030,plain,
multiply(sk_c4,iPr_def_14) = multiply(iPr_def_20,sk_c8),
inference(superposition,[status(thm)],[c_474,c_2190]) ).
tcf(c_11056,plain,
multiply(sk_c4,multiply(iPr_def_14,sk_c9)) = multiply(iPr_def_20,iPr_def_13),
inference(superposition,[status(thm)],[c_10734,c_2190]) ).
tcf(c_11446,plain,
multiply(sk_c5,iPr_def_18) = multiply(iPr_def_17,sk_c6),
inference(superposition,[status(thm)],[c_478,c_2192]) ).
tcf(c_11728,plain,
multiply(sk_c1,multiply(iPr_def_13,sk_c3)) = multiply(iPr_def_24,iPr_def_22),
inference(superposition,[status(thm)],[c_9992,c_2193]) ).
tcf(c_11896,plain,
( ~ iPr_def_11
| ( inverse(sk_c3) != sk_c9 )
| ( multiply(iPr_def_22,sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_2194,c_488]) ).
tcf(c_11969,plain,
multiply(sk_c2,iPr_def_18) = multiply(iPr_def_21,sk_c6),
inference(superposition,[status(thm)],[c_478,c_2195]) ).
tcf(c_11970,plain,
multiply(sk_c2,iPr_def_22) = multiply(iPr_def_21,sk_c3),
inference(superposition,[status(thm)],[c_482,c_2195]) ).
tcf(c_12219,plain,
multiply(iPr_def_16,multiply(iPr_def_21,sk_c6)) = iPr_def_18,
inference(superposition,[status(thm)],[c_11969,c_2207]) ).
tcf(c_12223,plain,
multiply(iPr_def_16,multiply(iPr_def_21,sk_c3)) = iPr_def_22,
inference(superposition,[status(thm)],[c_11970,c_2207]) ).
tcf(c_13025,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_1627,c_525,c_1000,c_1050,c_1053,c_1203,c_1627]) ).
tcf(c_13026,plain,
( ( sk_c7 = iPr_def_13 )
| ( sk_c8 = iPr_def_20 ) ),
inference(renaming,[status(thm)],[c_13025]) ).
tcf(c_13059,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c7 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_1629,c_525,c_1000,c_1050,c_1053,c_1203,c_1629]) ).
tcf(c_13060,plain,
( ( sk_c7 = iPr_def_13 )
| ( sk_c8 = iPr_def_18 ) ),
inference(renaming,[status(thm)],[c_13059]) ).
tcf(c_13076,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c7 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_1630,c_525,c_1000,c_1050,c_1053,c_1203,c_1630]) ).
tcf(c_13077,plain,
( ( sk_c7 = iPr_def_13 )
| ( sk_c9 = iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_13076]) ).
tcf(c_13093,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c7 != iPr_def_14 )
| ( sk_c8 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_1663,c_485,c_1110,c_1387,c_1388,c_1860,c_2072,c_7612,c_8889,c_13026]) ).
tcf(c_13094,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_20 )
| ( sk_c7 != iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_13093]) ).
tcf(c_13577,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c7 != iPr_def_14 )
| ( sk_c8 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_1665,c_485,c_1110,c_1387,c_1388,c_1860,c_2072,c_6472,c_8269,c_13060]) ).
tcf(c_13578,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_18 )
| ( sk_c7 != iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_13577]) ).
tcf(c_13622,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c7 != iPr_def_14 )
| ( sk_c9 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_1666,c_485,c_1110,c_1387,c_1388,c_1860,c_2072,c_5548,c_8038,c_13077]) ).
tcf(c_13623,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 = iPr_def_15 )
| ( sk_c7 != iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_13622]) ).
tcf(c_13640,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 = iPr_def_15 )
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_520,c_13623]) ).
tcf(c_13844,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2197,c_89]) ).
tcf(c_13850,plain,
multiply(inverse(sk_c9),iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_474,c_13844]) ).
tcf(c_13852,plain,
multiply(inverse(sk_c9),iPr_def_18) = sk_c6,
inference(superposition,[status(thm)],[c_478,c_13844]) ).
tcf(c_13855,plain,
multiply(inverse(sk_c9),iPr_def_22) = sk_c3,
inference(superposition,[status(thm)],[c_482,c_13844]) ).
tcf(c_13857,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_89,c_13844]) ).
tcf(c_13858,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_90,c_13844]) ).
tcf(c_13963,plain,
multiply(inverse(sk_c9),multiply(iPr_def_14,sk_c9)) = iPr_def_13,
inference(superposition,[status(thm)],[c_10734,c_13844]) ).
tcf(c_13973,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2210,c_13844]) ).
tcf(c_13974,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2209,c_13844]) ).
tcf(c_13975,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2208,c_13844]) ).
tcf(c_13976,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2207,c_13844]) ).
tcf(c_14012,plain,
multiply(inverse(sk_c8),multiply(iPr_def_13,sk_c3)) = iPr_def_22,
inference(superposition,[status(thm)],[c_9992,c_13844]) ).
tcf(c_14024,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_13844,c_13844]) ).
tcf(c_14826,plain,
( ~ iPr_def_10
| ( sk_c8 != sk_c9 )
| ( inverse(inverse(identity)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_13857,c_489]) ).
tcf(c_14902,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_13858,c_14024]) ).
tcf(c_14916,plain,
multiply(sk_c8,sk_c9) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_14902,c_2188]) ).
tcf(c_14918,plain,
multiply(sk_c9,sk_c8) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_14902,c_2189]) ).
tcf(c_14919,plain,
multiply(sk_c9,sk_c6) = multiply(iPr_def_18,identity),
inference(superposition,[status(thm)],[c_14902,c_2191]) ).
tcf(c_14925,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14902,c_13857]) ).
tcf(c_14927,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_14919,c_478]) ).
tcf(c_14928,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_14918,c_474]) ).
tcf(c_14930,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_14916,c_473]) ).
tcf(c_15032,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_14925,c_90]) ).
tcf(c_15052,plain,
multiply(sk_c9,identity) = multiply(iPr_def_16,iPr_def_21),
inference(superposition,[status(thm)],[c_14902,c_3541]) ).
tcf(c_15055,plain,
multiply(sk_c9,identity) = sk_c9,
inference(light_normalisation,[status(thm)],[c_15052,c_3000]) ).
tcf(c_15078,plain,
multiply(sk_c8,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_14902,c_3557]) ).
tcf(c_15082,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_15078,c_3554]) ).
tcf(c_15219,plain,
multiply(sk_c9,identity) = multiply(iPr_def_15,iPr_def_17),
inference(superposition,[status(thm)],[c_14902,c_3565]) ).
tcf(c_15229,plain,
multiply(sk_c9,identity) = multiply(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_14902,c_3610]) ).
tcf(c_18487,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_13973,c_90]) ).
tcf(c_18491,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_19)) != sk_c9 )
| ( multiply(sk_c4,sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_13973,c_487]) ).
tcf(c_18492,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_13973,c_13844]) ).
tcf(c_18493,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_13973,c_14902]) ).
tcf(c_18494,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 )
| ( inverse(inverse(iPr_def_19)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_18491,c_480]) ).
tcf(c_18544,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_18493,c_14902]) ).
tcf(c_18555,plain,
multiply(sk_c4,sk_c9) = iPr_def_20,
inference(superposition,[status(thm)],[c_3571,c_18492]) ).
tcf(c_19367,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_15)) != sk_c8 )
| ( multiply(sk_c5,sk_c8) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_13974,c_489]) ).
tcf(c_19368,plain,
multiply(sk_c5,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_13974,c_90]) ).
tcf(c_19373,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_13974,c_13844]) ).
tcf(c_19374,plain,
multiply(sk_c5,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_13974,c_14902]) ).
tcf(c_19411,plain,
inverse(iPr_def_15) = sk_c5,
inference(demodulation,[status(thm)],[c_19374,c_14902]) ).
tcf(c_19988,plain,
multiply(sk_c5,sk_c9) = iPr_def_17,
inference(superposition,[status(thm)],[c_3559,c_19373]) ).
tcf(c_20138,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_23)) != sk_c8 )
| ( multiply(sk_c1,sk_c8) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_13975,c_489]) ).
tcf(c_20139,plain,
multiply(sk_c1,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_13975,c_90]) ).
tcf(c_20144,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_13975,c_13844]) ).
tcf(c_20145,plain,
multiply(sk_c1,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_13975,c_14902]) ).
tcf(c_20161,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(inverse(iPr_def_23)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_20138,c_484]) ).
tcf(c_20168,plain,
( ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1170,c_20139]) ).
tcf(c_21316,plain,
inverse(iPr_def_23) = sk_c1,
inference(demodulation,[status(thm)],[c_20145,c_14902]) ).
tcf(c_21483,plain,
multiply(sk_c1,sk_c8) = iPr_def_24,
inference(superposition,[status(thm)],[c_3554,c_20144]) ).
tcf(c_22384,plain,
multiply(sk_c2,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_13976,c_90]) ).
tcf(c_22388,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_16)) != sk_c9 )
| ( multiply(sk_c2,sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_13976,c_487]) ).
tcf(c_22389,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_13976,c_13844]) ).
tcf(c_22390,plain,
multiply(sk_c2,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_13976,c_14902]) ).
tcf(c_22391,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_21 )
| ( inverse(inverse(iPr_def_16)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_22388,c_481]) ).
tcf(c_23812,plain,
inverse(iPr_def_16) = sk_c2,
inference(demodulation,[status(thm)],[c_22390,c_14902]) ).
tcf(c_23823,plain,
multiply(sk_c2,sk_c9) = iPr_def_21,
inference(superposition,[status(thm)],[c_3000,c_22389]) ).
tcf(c_24468,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(inverse(iPr_def_22),multiply(iPr_def_13,sk_c3)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_10623,c_13844]) ).
tcf(c_24509,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(inverse(iPr_def_22),multiply(iPr_def_13,sk_c3)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_10625,c_13844]) ).
tcf(c_24526,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),multiply(iPr_def_13,sk_c3)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_10626,c_13844]) ).
tcf(c_38163,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4494,c_4493]) ).
tcf(c_38192,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c9 = iPr_def_15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_13640,c_38163]) ).
tcf(c_49328,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_15 )
| ( multiply(sk_c5,sk_c8) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_19367,c_475,c_19411]) ).
tcf(c_51445,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_49328,c_38192,c_24526,c_24509,c_24468,c_23823,c_23812,c_22391,c_22384,c_21483,c_21316,c_20168,c_20161,c_20139,c_19988,c_19374,c_19368,c_18555,c_18544,c_18494,c_18493,c_18487,c_15229,c_15219,c_15082,c_15078,c_15055,c_14930,c_14928,c_14927,c_14919,c_14918,c_14916,c_14925,c_14826,c_14012,c_13963,c_13855,c_13852,c_13850,c_13578,c_13094,c_12223,c_12219,c_11970,c_11969,c_11896,c_11728,c_11446,c_11056,c_11030,c_10734,c_10000,c_9991,c_8889,c_2041,c_2037,c_2025,c_1844,c_1757,c_15032,c_874,c_525,c_524,c_523,c_522,c_521,c_520,c_519,c_517,c_513,c_511,c_507,c_505,c_501,c_500,c_499,c_498,c_497,c_496,c_495,c_494,c_493,c_492,c_491,c_490,c_485,c_483,c_479,c_476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP322-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 14:28:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 11.25/2.64 % SZS status Started for theBenchmark.p
% 11.25/2.64 % SZS status Unsatisfiable for theBenchmark.p
% 11.25/2.64
% 11.25/2.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.25/2.64
% 11.25/2.64 % ------ iProver source info
% 11.25/2.64
% 11.25/2.64 % git: date: 2026-07-19 20:42:38 +0200
% 11.25/2.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.25/2.64 % git: non_committed_changes: false
% 11.25/2.64
% 11.25/2.64 % ------ Parsing...% successful
% 11.25/2.64
% 11.25/2.64
% 11.25/2.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 11.25/2.64
% 11.25/2.64 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 11.25/2.64
% 11.25/2.64 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 11.25/2.64
% 11.25/2.64 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.25/2.64 % ------ Proving...
% 11.25/2.64 % ------ Problem Properties
% 11.25/2.64
% 11.25/2.64 %
% 11.25/2.64 % clauses 55
% 11.25/2.64 % conjectures 40
% 11.25/2.64 % EPR 37
% 11.25/2.64 % Horn 18
% 11.25/2.64 % unary 15
% 11.25/2.64 % binary 36
% 11.25/2.64 % lits 101
% 11.25/2.64 % lits eq 95
% 11.25/2.64 % fd_pure 0
% 11.25/2.64 % fd_pseudo 0
% 11.25/2.64 % fd_cond 0
% 11.25/2.64 % fd_pseudo_cond 0
% 11.25/2.64 % AC symbols 0
% 11.25/2.64
% 11.25/2.64 % ------ Schedule dynamic 5 is on
% 11.25/2.64
% 11.25/2.64 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.25/2.64
% 11.25/2.64
% 11.25/2.64 % ------
% 11.25/2.64 % Current options:
% 11.25/2.64 % ------
% 11.25/2.64
% 11.25/2.64
% 11.25/2.64 %
% 11.25/2.64
% 11.25/2.64 % ------ Proving...
% 11.25/2.64 %
% 11.25/2.64
% 11.25/2.64 % SZS status Unsatisfiable for theBenchmark.p
% 11.25/2.64
% 11.25/2.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.25/2.65
%------------------------------------------------------------------------------