%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP374-1 : 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 : n016.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 01:33:26 PM UTC 2026
% Result : Unsatisfiable 17.93s 3.69s
% Output : CNFRefutation 22.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 48
% Syntax : Number of formulae : 451 ( 129 unt; 12 def)
% Number of atoms : 1693 ( 866 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 748 ( 267 ~; 481 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn 102 !; 0 ?; 82 :)
% 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_c8,sk_c7) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c8 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f14]) ).
fof(f18,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f22]) ).
fof(f26,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f26]) ).
fof(f30,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f34]) ).
fof(f38,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f50]) ).
fof(f54,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c8 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f72]) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != X3
| multiply(sk_c8,X3) != sk_c7
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3
| sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != multiply(sk_c8,sk_c6)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| inverse(sk_c8) != sk_c7 ),
inference(reorient_equations,[],[f76]) ).
fof(f78,plain,
! [X2,X0,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != multiply(sk_c8,sk_c6)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f77]) ).
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,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_113,negated_conjecture,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_114,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_117,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_119,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_120,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c6 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X3,sk_c6) != sk_c7 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_473,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).
tcf(c_474,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).
tcf(c_475,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_128]) ).
tcf(c_476,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_477,definition,
iPr_def_13 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_478,definition,
iPr_def_14 = multiply(sk_c8,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_479,definition,
iPr_def_15 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_480,definition,
iPr_def_16 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_481,definition,
iPr_def_17 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_482,definition,
iPr_def_18 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_483,definition,
iPr_def_19 = multiply(sk_c8,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_484,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_485,definition,
iPr_def_21 = multiply(sk_c3,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_486,definition,
iPr_def_22 = multiply(sk_c2,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_487,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_488,definition,
iPr_def_24 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_489,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c7 )
| ( iPr_def_14 != sk_c7 )
| ( iPr_def_13 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_476,c_479,c_478,c_477]) ).
tcf(c_490,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_475]) ).
tcf(c_491,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_474]) ).
tcf(c_493,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_473]) ).
tcf(c_495,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_126,c_482]) ).
tcf(c_496,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_125,c_483]) ).
tcf(c_497,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_124,c_484]) ).
tcf(c_498,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_123,c_485]) ).
tcf(c_499,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_500,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_121,c_486]) ).
tcf(c_501,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_502,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_503,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_504,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_506,negated_conjecture,
( ( iPr_def_16 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_507,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_508,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_509,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_510,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_511,negated_conjecture,
( ( iPr_def_14 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_512,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_109,c_487]) ).
tcf(c_514,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_515,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_516,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_518,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103,c_488]) ).
tcf(c_520,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_521,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_522,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_524,negated_conjecture,
( ( iPr_def_16 = sk_c8 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_525,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_526,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_527,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_528,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_529,negated_conjecture,
( ( iPr_def_15 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_530,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_536,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_871,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_506,c_504]) ).
tcf(c_873,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_506,c_502]) ).
tcf(c_875,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_506,c_500]) ).
tcf(c_906,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_19) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_508,c_477]) ).
tcf(c_953,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_507,c_483]) ).
tcf(c_954,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_501,c_483]) ).
tcf(c_964,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_498,c_486]) ).
tcf(c_966,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_496,c_486]) ).
tcf(c_980,plain,
multiply(iPr_def_15,sk_c8) = identity,
inference(superposition,[status(thm)],[c_479,c_90]) ).
tcf(c_981,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_484,c_90]) ).
tcf(c_982,plain,
multiply(iPr_def_16,sk_c4) = identity,
inference(superposition,[status(thm)],[c_480,c_90]) ).
tcf(c_983,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_487,c_90]) ).
tcf(c_984,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_481,c_90]) ).
tcf(c_997,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_510,c_508]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_1030,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != sk_c7 )
| ( X0 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1029]) ).
tcf(c_1031,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_1075,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c7 != sk_c8 )
| ( sk_c8 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_1076,plain,
( ( sk_c7 = iPr_def_19 )
| ( iPr_def_19 != sk_c7 )
| ( sk_c7 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1030]) ).
tcf(c_1077,plain,
( ( sk_c7 = iPr_def_21 )
| ( iPr_def_21 != sk_c7 )
| ( sk_c7 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1030]) ).
tcf(c_1090,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_23,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_512,c_477]) ).
tcf(c_1111,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != iPr_def_21 )
| ( X0 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1029]) ).
tcf(c_1165,plain,
! [X0: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != iPr_def_21 )
| ( X0 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_1167,plain,
! [X0: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_1187,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_515,c_477]) ).
tcf(c_1215,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_21 )
| ( iPr_def_21 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_1230,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c8 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_516,c_514]) ).
tcf(c_1237,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_516,c_477]) ).
tcf(c_1263,plain,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_21 != iPr_def_21 )
| ( sk_c7 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1165]) ).
tcf(c_1264,plain,
iPr_def_21 = iPr_def_21,
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_1269,plain,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_19 != iPr_def_19 )
| ( sk_c7 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1167]) ).
tcf(c_1270,plain,
iPr_def_19 = iPr_def_19,
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_1420,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( sk_c7 = iPr_def_19 )
| ( sk_c8 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_520,c_509]) ).
tcf(c_1426,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_520,c_477]) ).
tcf(c_1459,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_1523,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = X0 )
| ( iPr_def_21 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_1526,plain,
! [X0: $i] :
( ( X0 = iPr_def_21 )
| ( iPr_def_21 != sk_c7 )
| ( X0 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1215]) ).
tcf(c_1546,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( sk_c7 = iPr_def_21 )
| ( sk_c8 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_522,c_509]) ).
tcf(c_1552,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_522,c_477]) ).
tcf(c_1659,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_524,c_477]) ).
tcf(c_1928,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_527,c_477]) ).
tcf(c_2006,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c7 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_528,c_526]) ).
tcf(c_2019,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_528,c_477]) ).
tcf(c_2135,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != sk_c7 )
| ( X0 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1459]) ).
tcf(c_2178,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_22 )
| ( inverse(sk_c2) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_486,c_491]) ).
tcf(c_2179,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c6 )
| ( inverse(identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_89,c_491]) ).
tcf(c_2180,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c6)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_90,c_491]) ).
tcf(c_2194,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_17 )
| ( sk_c7 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2178,c_481]) ).
tcf(c_2267,plain,
! [X0: $i] :
( ( iPr_def_21 = X0 )
| ( iPr_def_21 != iPr_def_21 )
| ( X0 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1523]) ).
tcf(c_2299,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_488,c_493]) ).
tcf(c_2300,plain,
( ~ iPr_def_10
| ( sk_c8 != sk_c7 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_89,c_493]) ).
tcf(c_2302,plain,
( ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(iPr_def_15) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_980,c_493]) ).
tcf(c_2311,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_24 )
| ( sk_c8 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2299,c_487]) ).
tcf(c_2380,plain,
( ~ iPr_def_12
| ( inverse(sk_c3) != sk_c8 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_485,c_490]) ).
tcf(c_2381,plain,
( ~ iPr_def_12
| ( inverse(sk_c4) != sk_c8 )
| ( multiply(sk_c8,iPr_def_18) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_482,c_490]) ).
tcf(c_2383,plain,
( ~ iPr_def_12
| ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_89,c_490]) ).
tcf(c_2398,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_16 )
| ( multiply(sk_c8,iPr_def_18) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2381,c_480]) ).
tcf(c_2402,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2380,c_484]) ).
tcf(c_2445,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_17 )
| ( sk_c7 != iPr_def_15 )
| ( sk_c7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_499,c_489]) ).
tcf(c_2532,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_477,c_91]) ).
tcf(c_2533,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_485,c_91]) ).
tcf(c_2535,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_482,c_91]) ).
tcf(c_2537,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_478,c_91]) ).
tcf(c_2540,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_90,c_91]) ).
tcf(c_2543,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_980,c_91]) ).
tcf(c_2544,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_981,c_91]) ).
tcf(c_2545,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_982,c_91]) ).
tcf(c_2546,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_983,c_91]) ).
tcf(c_2547,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_984,c_91]) ).
tcf(c_2552,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2547,c_89]) ).
tcf(c_2553,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2546,c_89]) ).
tcf(c_2554,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2545,c_89]) ).
tcf(c_2555,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2544,c_89]) ).
tcf(c_2556,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2543,c_89]) ).
tcf(c_2590,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1029]) ).
tcf(c_2591,plain,
( ( sk_c7 = sk_c8 )
| ( sk_c7 != iPr_def_22 )
| ( sk_c8 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_2590]) ).
tcf(c_2660,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1029]) ).
tcf(c_2661,plain,
( ( sk_c7 = sk_c8 )
| ( sk_c7 != iPr_def_14 )
| ( sk_c8 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_2660]) ).
tcf(c_2833,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_21 != sk_c7 )
| ( iPr_def_19 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1526]) ).
tcf(c_2961,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_1230,c_980]) ).
tcf(c_3758,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1029]) ).
tcf(c_3918,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_22 != sk_c7 )
| ( iPr_def_14 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_2135]) ).
tcf(c_3919,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( iPr_def_24 != sk_c7 )
| ( iPr_def_14 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_2135]) ).
tcf(c_4016,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_4017,plain,
( ( sk_c8 = iPr_def_14 )
| ( iPr_def_14 != sk_c8 )
| ( sk_c8 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_4016]) ).
tcf(c_4434,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2006,c_477]) ).
tcf(c_4483,plain,
multiply(iPr_def_17,iPr_def_22) = sk_c6,
inference(superposition,[status(thm)],[c_486,c_2552]) ).
tcf(c_4507,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_22,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4483,c_91]) ).
tcf(c_4509,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c8,
inference(superposition,[status(thm)],[c_488,c_2553]) ).
tcf(c_4514,plain,
multiply(iPr_def_16,iPr_def_18) = sk_c8,
inference(superposition,[status(thm)],[c_482,c_2554]) ).
tcf(c_4677,plain,
( ( sk_c7 = iPr_def_19 )
| ( iPr_def_19 != iPr_def_21 )
| ( sk_c7 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1111]) ).
tcf(c_5005,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_485,c_2555]) ).
tcf(c_5010,plain,
multiply(iPr_def_15,iPr_def_13) = sk_c7,
inference(superposition,[status(thm)],[c_477,c_2556]) ).
tcf(c_5011,plain,
multiply(iPr_def_15,iPr_def_19) = sk_c5,
inference(superposition,[status(thm)],[c_483,c_2556]) ).
tcf(c_5012,plain,
multiply(iPr_def_15,iPr_def_14) = sk_c6,
inference(superposition,[status(thm)],[c_478,c_2556]) ).
tcf(c_5118,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1459]) ).
tcf(c_5119,plain,
( ( iPr_def_14 = sk_c8 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c8 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_5118]) ).
tcf(c_5195,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_19,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_5011,c_91]) ).
tcf(c_5197,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_5012,c_91]) ).
tcf(c_5393,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_906,c_2556]) ).
tcf(c_5394,plain,
( ( sk_c7 = iPr_def_19 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5393,c_5010]) ).
tcf(c_5703,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_875,c_954]) ).
tcf(c_5719,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5703,c_4514]) ).
tcf(c_6063,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_964,c_2552]) ).
tcf(c_6064,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c7 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_6063,c_4483]) ).
tcf(c_6134,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_966,c_2552]) ).
tcf(c_6135,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6134,c_4483]) ).
tcf(c_6626,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_518,c_1090]) ).
tcf(c_6638,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_6626,c_4509]) ).
tcf(c_7413,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_521,c_1187]) ).
tcf(c_7427,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_7413,c_4509]) ).
tcf(c_7509,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_7427,c_6638]) ).
tcf(c_7548,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_7427,c_477]) ).
tcf(c_7737,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_7427,c_1237]) ).
tcf(c_7807,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_7737,c_5005]) ).
tcf(c_9215,plain,
( ( sk_c7 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_7427,c_2019]) ).
tcf(c_9234,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2019,c_2556]) ).
tcf(c_9235,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9234,c_5010]) ).
tcf(c_9285,plain,
( ( sk_c7 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_9215,c_5005]) ).
tcf(c_9367,plain,
iPr_def_22 = iPr_def_22,
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_9417,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_871,c_504,c_510,c_1031,c_1077,c_3918]) ).
tcf(c_9920,plain,
iPr_def_24 = iPr_def_24,
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_10395,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_873,c_502,c_508,c_1031,c_1076,c_3918]) ).
tcf(c_10428,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_10395,c_9417]) ).
tcf(c_10620,plain,
multiply(sk_c4,iPr_def_14) = multiply(iPr_def_18,sk_c6),
inference(superposition,[status(thm)],[c_478,c_2535]) ).
tcf(c_11035,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_7509,c_980]) ).
tcf(c_11059,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( sk_c7 = identity ) ),
inference(light_normalisation,[status(thm)],[c_11035,c_5010]) ).
tcf(c_11624,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_7807,c_1552]) ).
tcf(c_11626,plain,
( ( sk_c7 = iPr_def_19 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_7807,c_1426]) ).
tcf(c_11758,plain,
( ( sk_c7 = iPr_def_19 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_11626,c_4509]) ).
tcf(c_11761,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_11624,c_4509]) ).
tcf(c_11798,plain,
multiply(iPr_def_16,multiply(iPr_def_18,sk_c6)) = iPr_def_14,
inference(superposition,[status(thm)],[c_10620,c_2554]) ).
tcf(c_13444,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_15 )
| ( sk_c8 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_11059,c_527]) ).
tcf(c_13446,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_15 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_11059,c_524]) ).
tcf(c_13454,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_14 )
| ( sk_c8 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_11059,c_509]) ).
tcf(c_13456,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_14 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_11059,c_506]) ).
tcf(c_13457,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_11059,c_504]) ).
tcf(c_13458,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_11059,c_503]) ).
tcf(c_13459,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_11059,c_502]) ).
tcf(c_13461,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_11059,c_500]) ).
tcf(c_13665,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( sk_c7 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_1420,c_508,c_520,c_1031,c_1076,c_3919]) ).
tcf(c_14022,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_4016]) ).
tcf(c_14028,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_24 )
| ( X0 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_4016]) ).
tcf(c_15286,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11761,c_11758]) ).
tcf(c_15290,plain,
( ( iPr_def_15 = iPr_def_21 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11761,c_9285]) ).
tcf(c_15350,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( sk_c7 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_1546,c_510,c_522,c_1031,c_1077,c_3919]) ).
tcf(c_15397,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_15350,c_13665]) ).
tcf(c_18119,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_15286,c_980]) ).
tcf(c_18146,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c7 = identity ) ),
inference(light_normalisation,[status(thm)],[c_18119,c_5010]) ).
tcf(c_18824,plain,
( ( iPr_def_15 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_15290,c_980]) ).
tcf(c_18849,plain,
( ( iPr_def_15 = iPr_def_21 )
| ( sk_c7 = identity ) ),
inference(light_normalisation,[status(thm)],[c_18824,c_5010]) ).
tcf(c_19908,plain,
( ( sk_c7 = iPr_def_21 )
| ( iPr_def_21 != iPr_def_15 )
| ( sk_c7 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_3758]) ).
tcf(c_21696,plain,
( ( iPr_def_24 = iPr_def_14 )
| ( iPr_def_24 != iPr_def_24 )
| ( iPr_def_14 != iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_14028]) ).
tcf(c_21871,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2540,c_89]) ).
tcf(c_21912,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_89,c_21871]) ).
tcf(c_21913,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_90,c_21871]) ).
tcf(c_21995,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2556,c_21871]) ).
tcf(c_21996,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2555,c_21871]) ).
tcf(c_21997,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2554,c_21871]) ).
tcf(c_22024,plain,
multiply(inverse(iPr_def_17),sk_c6) = iPr_def_22,
inference(superposition,[status(thm)],[c_4483,c_21871]) ).
tcf(c_22044,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_21871,c_21871]) ).
tcf(c_22366,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_21913,c_22044]) ).
tcf(c_22374,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_22366,c_2532]) ).
tcf(c_22376,plain,
multiply(sk_c4,sk_c8) = multiply(iPr_def_18,identity),
inference(superposition,[status(thm)],[c_22366,c_2535]) ).
tcf(c_22381,plain,
multiply(sk_c8,sk_c6) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_22366,c_2537]) ).
tcf(c_22386,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_22366,c_21912]) ).
tcf(c_22387,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_22381,c_478]) ).
tcf(c_22391,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_22376,c_482]) ).
tcf(c_22393,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_22374,c_477]) ).
tcf(c_22577,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_22386,c_90]) ).
tcf(c_23431,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18146,c_2006]) ).
tcf(c_23434,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_18146,c_997]) ).
tcf(c_23451,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_18146,c_502]) ).
tcf(c_23695,plain,
( ( iPr_def_15 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_18849,c_504]) ).
tcf(c_25832,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23431,c_89]) ).
tcf(c_28132,plain,
( ( iPr_def_21 = iPr_def_15 )
| ( iPr_def_21 != iPr_def_21 )
| ( iPr_def_15 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_2267]) ).
tcf(c_29355,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_487,c_90]) ).
tcf(c_29423,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_518,c_506]) ).
tcf(c_29545,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( sk_c8 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_521,c_509]) ).
tcf(c_30958,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29545,c_29423]) ).
tcf(c_31325,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_29355,c_91]) ).
tcf(c_31326,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_31325,c_89]) ).
tcf(c_33772,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13446,c_13444]) ).
tcf(c_34672,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33772,c_89]) ).
tcf(c_34698,plain,
multiply(sk_c8,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_21995,c_90]) ).
tcf(c_34702,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_21995,c_21871]) ).
tcf(c_34703,plain,
multiply(sk_c8,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_21995,c_22366]) ).
tcf(c_34714,plain,
( ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1928,c_34698]) ).
tcf(c_34715,plain,
( ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1659,c_34698]) ).
tcf(c_34762,plain,
multiply(sk_c4,identity) = multiply(iPr_def_18,iPr_def_15),
inference(superposition,[status(thm)],[c_34698,c_2535]) ).
tcf(c_34763,plain,
multiply(sk_c3,identity) = multiply(iPr_def_21,iPr_def_15),
inference(superposition,[status(thm)],[c_34698,c_2533]) ).
tcf(c_34764,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_34698,c_2556]) ).
tcf(c_35098,plain,
inverse(iPr_def_15) = sk_c8,
inference(demodulation,[status(thm)],[c_34703,c_22366]) ).
tcf(c_35927,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13456,c_13454]) ).
tcf(c_36014,plain,
( ( sk_c7 = iPr_def_21 )
| ( identity = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_13457,c_1264,c_9235,c_19908,c_23695,c_28132]) ).
tcf(c_36015,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_21 ) ),
inference(renaming,[status(thm)],[c_36014]) ).
tcf(c_37364,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34715,c_34714]) ).
tcf(c_37706,plain,
( ( sk_c7 = iPr_def_22 )
| ( iPr_def_22 != iPr_def_14 )
| ( sk_c7 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_2660]) ).
tcf(c_37711,plain,
( ( sk_c7 = iPr_def_24 )
| ( iPr_def_24 != iPr_def_14 )
| ( sk_c7 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_2660]) ).
tcf(c_37921,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 )
| ( inverse(iPr_def_15) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_34702,c_490]) ).
tcf(c_38010,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_37921,c_35098]) ).
tcf(c_38327,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c8,
inference(superposition,[status(thm)],[c_488,c_31326]) ).
tcf(c_38329,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_14) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_30958,c_38327]) ).
tcf(c_38580,plain,
( ( sk_c7 = iPr_def_19 )
| ( identity = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_13459,c_4677,c_23451,c_36015]) ).
tcf(c_38581,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(renaming,[status(thm)],[c_38580]) ).
tcf(c_38642,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38581,c_36015]) ).
tcf(c_38924,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_13461,c_13458]) ).
tcf(c_39423,plain,
( ( iPr_def_14 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_10395,c_38010]) ).
tcf(c_39447,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_509,c_38010]) ).
tcf(c_39449,plain,
( ( sk_c8 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_506,c_38010]) ).
tcf(c_39450,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_504,c_38010]) ).
tcf(c_39924,plain,
multiply(iPr_def_18,iPr_def_15) = sk_c4,
inference(demodulation,[status(thm)],[c_34762,c_22366]) ).
tcf(c_41924,plain,
multiply(iPr_def_21,iPr_def_15) = sk_c3,
inference(demodulation,[status(thm)],[c_34763,c_22366]) ).
tcf(c_42715,plain,
! [X0: $i] :
( ( multiply(X0,iPr_def_18) = sk_c7 )
| ( sk_c7 != iPr_def_19 )
| ( multiply(X0,iPr_def_18) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1167]) ).
tcf(c_42716,plain,
( ( multiply(sk_c8,iPr_def_18) = sk_c7 )
| ( sk_c7 != iPr_def_19 )
| ( multiply(sk_c8,iPr_def_18) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_42715]) ).
tcf(c_42805,plain,
( ( sk_c8 != iPr_def_14 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_39447,c_536,c_953,c_1075,c_2398,c_2661,c_5394,c_38010,c_39449,c_42716]) ).
tcf(c_42806,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_42805]) ).
tcf(c_43324,plain,
( ( sk_c8 != iPr_def_22 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_39450,c_536,c_1075,c_2591,c_4017,c_5119,c_5719,c_38010,c_39423,c_42806]) ).
tcf(c_43325,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_43324]) ).
tcf(c_43331,plain,
( ( identity = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_20 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34714,c_43325]) ).
tcf(c_43880,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37364,c_35927]) ).
tcf(c_44411,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_4434,c_34698]) ).
tcf(c_44432,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_44411,c_38642]) ).
tcf(c_44526,plain,
multiply(sk_c6,identity) = multiply(iPr_def_17,iPr_def_22),
inference(superposition,[status(thm)],[c_22366,c_4507]) ).
tcf(c_44535,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_44526,c_4483]) ).
tcf(c_44576,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_38924,c_37364]) ).
tcf(c_48555,plain,
( ( iPr_def_22 = iPr_def_14 )
| ( iPr_def_22 != iPr_def_22 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_14022]) ).
tcf(c_49589,plain,
multiply(sk_c6,identity) = multiply(iPr_def_15,iPr_def_14),
inference(superposition,[status(thm)],[c_22366,c_5197]) ).
tcf(c_56581,plain,
( ~ iPr_def_11
| ( multiply(sk_c3,sk_c6) != sk_c7 )
| ( inverse(inverse(iPr_def_20)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_21996,c_491]) ).
tcf(c_56582,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_21996,c_21871]) ).
tcf(c_56583,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_21996,c_22366]) ).
tcf(c_56706,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_56583,c_22366]) ).
tcf(c_59464,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm)],[c_981,c_56582]) ).
tcf(c_67172,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11761,c_7548]) ).
tcf(c_67230,plain,
sk_c8 = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_67172,c_5005]) ).
tcf(c_67268,plain,
( ~ iPr_def_12
| ( iPr_def_13 != iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_43325,c_67230]) ).
tcf(c_67289,plain,
inverse(iPr_def_15) = iPr_def_13,
inference(demodulation,[status(thm)],[c_35098,c_67230]) ).
tcf(c_67382,plain,
multiply(iPr_def_16,iPr_def_18) = iPr_def_13,
inference(demodulation,[status(thm)],[c_4514,c_67230]) ).
tcf(c_67399,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_490,c_67230]) ).
tcf(c_67411,plain,
multiply(iPr_def_15,iPr_def_13) = identity,
inference(demodulation,[status(thm)],[c_980,c_67230]) ).
tcf(c_67412,plain,
multiply(sk_c1,iPr_def_13) = iPr_def_24,
inference(demodulation,[status(thm)],[c_488,c_67230]) ).
tcf(c_67413,plain,
multiply(sk_c3,iPr_def_13) = iPr_def_21,
inference(demodulation,[status(thm)],[c_485,c_67230]) ).
tcf(c_67414,plain,
multiply(iPr_def_13,sk_c5) = iPr_def_19,
inference(demodulation,[status(thm)],[c_483,c_67230]) ).
tcf(c_67418,plain,
multiply(sk_c4,iPr_def_13) = iPr_def_18,
inference(demodulation,[status(thm)],[c_482,c_67230]) ).
tcf(c_67419,plain,
multiply(iPr_def_13,sk_c6) = iPr_def_14,
inference(demodulation,[status(thm)],[c_478,c_67230]) ).
tcf(c_67420,plain,
inverse(iPr_def_13) = iPr_def_15,
inference(demodulation,[status(thm)],[c_479,c_67230]) ).
tcf(c_67440,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_5010,c_67411]) ).
tcf(c_67496,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity != iPr_def_15 )
| ( identity != iPr_def_14 )
| ( sk_c6 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_489,c_67440]) ).
tcf(c_69847,plain,
( ( iPr_def_16 = iPr_def_20 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_44576,c_67268]) ).
tcf(c_69848,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_44432,c_67268]) ).
tcf(c_72692,plain,
multiply(sk_c4,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_21997,c_90]) ).
tcf(c_72696,plain,
multiply(sk_c4,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_21997,c_22366]) ).
tcf(c_72759,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_72692,c_2554]) ).
tcf(c_72769,plain,
inverse(iPr_def_16) = sk_c4,
inference(demodulation,[status(thm)],[c_72696,c_22366]) ).
tcf(c_75378,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25832,c_2961]) ).
tcf(c_76364,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_75378,c_23434]) ).
tcf(c_77492,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_76364,c_2961]) ).
tcf(c_77519,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c6 = identity ) ),
inference(light_normalisation,[status(thm)],[c_77492,c_5012]) ).
tcf(c_77730,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_17 )
| ( sk_c6 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_77519,c_499]) ).
tcf(c_78545,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_77730,c_997,c_1230,c_1263,c_1264,c_1269,c_1270,c_2194,c_2311,c_2833,c_6064,c_6135,c_9367,c_9920,c_10428,c_15397,c_21696,c_23434,c_23431,c_37706,c_37711,c_48555,c_67496,c_69848,c_77730]) ).
tcf(c_78662,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_78545,c_44411]) ).
tcf(c_79058,plain,
( ~ iPr_def_11
| ( sk_c6 != identity ) ),
inference(light_normalisation,[status(thm)],[c_2179,c_22386,c_67440]) ).
tcf(c_79065,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_77519,c_79058]) ).
tcf(c_79162,plain,
( ~ iPr_def_10
| ( identity != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2300,c_22386,c_67230,c_67440]) ).
tcf(c_79217,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_44411,c_79162]) ).
tcf(c_79517,plain,
( ~ iPr_def_10
| ( inverse(iPr_def_15) != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_2302,c_2302,c_67440]) ).
tcf(c_79519,plain,
~ iPr_def_10,
inference(ground_joinability,[status(thm)],[c_79517,c_67230,c_67289]) ).
tcf(c_79520,plain,
( ~ iPr_def_11
| ( inverse(inverse(sk_c6)) != sk_c6 ) ),
inference(global_subsumption_just,[status(thm)],[c_2180,c_2180,c_67440]) ).
tcf(c_80215,plain,
iPr_def_19 = iPr_def_21,
inference(global_subsumption_just,[status(thm)],[c_79065,c_997,c_2006,c_2445,c_23434,c_23431,c_67496,c_69848,c_78662,c_79065,c_79217]) ).
tcf(c_80252,plain,
multiply(sk_c3,iPr_def_13) = iPr_def_19,
inference(demodulation,[status(thm)],[c_67413,c_80215]) ).
tcf(c_80270,plain,
multiply(iPr_def_19,iPr_def_15) = sk_c3,
inference(demodulation,[status(thm)],[c_41924,c_80215]) ).
tcf(c_80371,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( sk_c6 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_34672,c_5012]) ).
tcf(c_80712,plain,
( ~ iPr_def_12
| ( identity != iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_13) != identity ) ),
inference(light_normalisation,[status(thm)],[c_2383,c_22386,c_67230,c_67440]) ).
tcf(c_80918,plain,
multiply(sk_c5,iPr_def_15) = multiply(iPr_def_15,sk_c3),
inference(superposition,[status(thm)],[c_80270,c_5195]) ).
tcf(c_81272,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_20 )
| ( multiply(sk_c3,sk_c6) != identity ) ),
inference(light_normalisation,[status(thm)],[c_56581,c_484,c_56706,c_67440]) ).
tcf(c_83145,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != identity ) ),
inference(light_normalisation,[status(thm)],[c_67399,c_67440]) ).
tcf(c_83175,plain,
( ~ iPr_def_12
| ( inverse(sk_c1) != iPr_def_13 )
| ( multiply(iPr_def_13,iPr_def_24) != identity ) ),
inference(superposition,[status(thm)],[c_67412,c_83145]) ).
tcf(c_83176,plain,
( ~ iPr_def_12
| ( iPr_def_13 != iPr_def_23 )
| ( multiply(iPr_def_13,iPr_def_24) != identity ) ),
inference(light_normalisation,[status(thm)],[c_83175,c_487]) ).
tcf(c_83254,plain,
( iPr_def_12
| iPr_def_11
| ( identity != iPr_def_15 )
| ( identity != iPr_def_14 )
| ( sk_c6 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67496,c_79519]) ).
tcf(c_83578,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_20 )
| ( iPr_def_13 != iPr_def_14 )
| ( identity != iPr_def_15 )
| ( identity != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_80371,c_83254]) ).
tcf(c_83584,plain,
( ( iPr_def_16 = iPr_def_20 )
| ~ iPr_def_11
| ( identity != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_80371,c_79058]) ).
tcf(c_83616,plain,
( ( iPr_def_16 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c6 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_80371,c_499]) ).
tcf(c_83695,plain,
iPr_def_16 = iPr_def_20,
inference(global_subsumption_just,[status(thm)],[c_38329,c_33772,c_35927,c_43880,c_69847,c_83584,c_83578]) ).
tcf(c_85559,plain,
iPr_def_16 = iPr_def_20,
inference(global_subsumption_just,[status(thm)],[c_83616,c_83695]) ).
tcf(c_85567,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_16 )
| ( multiply(sk_c3,sk_c6) != identity ) ),
inference(demodulation,[status(thm)],[c_81272,c_85559]) ).
tcf(c_85604,plain,
inverse(iPr_def_16) = sk_c3,
inference(demodulation,[status(thm)],[c_56706,c_85559]) ).
tcf(c_85658,plain,
multiply(iPr_def_16,sk_c3) = identity,
inference(demodulation,[status(thm)],[c_981,c_85559]) ).
tcf(c_85659,plain,
inverse(sk_c3) = iPr_def_16,
inference(demodulation,[status(thm)],[c_484,c_85559]) ).
tcf(c_85663,plain,
sk_c3 = sk_c4,
inference(demodulation,[status(thm)],[c_72769,c_85604]) ).
tcf(c_85677,plain,
multiply(sk_c3,iPr_def_13) = iPr_def_18,
inference(demodulation,[status(thm)],[c_67418,c_85663]) ).
tcf(c_85679,plain,
multiply(iPr_def_18,iPr_def_15) = sk_c3,
inference(demodulation,[status(thm)],[c_39924,c_85663]) ).
tcf(c_85680,plain,
multiply(sk_c3,iPr_def_14) = multiply(iPr_def_18,sk_c6),
inference(demodulation,[status(thm)],[c_10620,c_85663]) ).
tcf(c_85687,plain,
iPr_def_18 = iPr_def_19,
inference(demodulation,[status(thm)],[c_80252,c_85677]) ).
tcf(c_85698,plain,
iPr_def_18 = iPr_def_21,
inference(demodulation,[status(thm)],[c_80215,c_85687]) ).
tcf(c_85713,plain,
multiply(iPr_def_13,sk_c5) = iPr_def_18,
inference(demodulation,[status(thm)],[c_67414,c_85687]) ).
tcf(c_85728,plain,
multiply(iPr_def_15,iPr_def_18) = sk_c5,
inference(demodulation,[status(thm)],[c_5011,c_85687]) ).
tcf(c_86381,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_85728,c_85713,c_85698,c_85687,c_85680,c_85679,c_85677,c_85604,c_85567,c_85659,c_85658,c_85559,c_83176,c_80918,c_80712,c_79520,c_79519,c_72759,c_67440,c_67420,c_67418,c_67382,c_67289,c_67419,c_67230,c_59464,c_49589,c_44535,c_43331,c_34764,c_22393,c_22391,c_22387,c_22386,c_22024,c_11798,c_2402,c_2178,c_22577,c_529,c_528,c_525,c_522,c_516,c_511,c_510,c_507,c_504,c_499,c_498,c_497,c_495,c_489,c_481]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP374-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 14:41:44 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 17.93/3.69 % SZS status Started for theBenchmark.p
% 17.93/3.69 % SZS status Unsatisfiable for theBenchmark.p
% 17.93/3.69
% 17.93/3.69 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.93/3.69
% 17.93/3.69 % ------ iProver source info
% 17.93/3.69
% 17.93/3.69 % git: date: 2026-07-19 20:42:38 +0200
% 17.93/3.69 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.93/3.69 % git: non_committed_changes: false
% 17.93/3.69
% 17.93/3.69 % ------ Parsing...% successful
% 17.93/3.69
% 17.93/3.69
% 17.93/3.69 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.93/3.69
% 17.93/3.69 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 17.93/3.69
% 17.93/3.69 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.93/3.69
% 17.93/3.69 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 17.93/3.69 % ------ Proving...
% 17.93/3.69 % ------ Problem Properties
% 17.93/3.69
% 17.93/3.69 %
% 17.93/3.69 % clauses 55
% 17.93/3.69 % conjectures 40
% 17.93/3.69 % EPR 37
% 17.93/3.69 % Horn 18
% 17.93/3.69 % unary 15
% 17.93/3.69 % binary 36
% 17.93/3.69 % lits 102
% 17.93/3.69 % lits eq 96
% 17.93/3.69 % fd_pure 0
% 17.93/3.69 % fd_pseudo 0
% 17.93/3.69 % fd_cond 0
% 17.93/3.69 % fd_pseudo_cond 0
% 17.93/3.69 % AC symbols 0
% 17.93/3.69
% 17.93/3.69 % ------ Schedule dynamic 5 is on
% 17.93/3.69
% 17.93/3.69 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.93/3.69
% 17.93/3.69
% 17.93/3.69 % ------
% 17.93/3.69 % Current options:
% 17.93/3.69 % ------
% 17.93/3.69
% 17.93/3.69
% 17.93/3.69 %
% 17.93/3.69
% 17.93/3.69 % ------ Proving...
% 17.93/3.69 %
% 17.93/3.69
% 17.93/3.69 % SZS status Unsatisfiable for theBenchmark.p
% 17.93/3.69
% 17.93/3.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.39/3.70
% 22.39/3.70
%------------------------------------------------------------------------------