%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP247-1 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:32:27 PM UTC 2026
% Result : Unsatisfiable 10.07s 2.79s
% Output : CNFRefutation 14.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 46
% Syntax : Number of formulae : 330 ( 98 unt; 12 def)
% Number of atoms : 1017 ( 589 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 491 ( 175 ~; 316 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 97 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f7]) ).
fof(f12,negated_conjecture,
( inverse(sk_c6) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f18]) ).
fof(f24,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f26]) ).
fof(f32,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c6) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c9 = inverse(sk_c6)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f38]) ).
fof(f44,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c9 = inverse(sk_c6)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c9 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( inverse(sk_c6) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f74]) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X5,sk_c8) != sk_c9
| inverse(X5) != sk_c9
| inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(X2,sk_c7) != sk_c9
| inverse(X2) != sk_c9
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c9 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != multiply(X2,sk_c7)
| sk_c9 != inverse(X2)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(X1,sk_c8)
| inverse(X0) != sk_c9
| sk_c8 != multiply(X0,sk_c9) ),
inference(reorient_equations,[],[f76]) ).
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_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_97,negated_conjecture,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_109,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_122,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_124,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_127,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( inverse(X5) != sk_c8 )
| ( inverse(X4) != sk_c8 )
| ( inverse(X3) != sk_c9 )
| ( inverse(X2) != sk_c9 )
| ( inverse(X1) != sk_c9 )
| ( inverse(X0) != sk_c9 )
| ( multiply(X5,sk_c8) != sk_c7 )
| ( multiply(X4,sk_c8) != sk_c7 )
| ( multiply(X3,sk_c9) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c9 )
| ( multiply(X1,sk_c8) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_477,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).
tcf(c_478,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c7) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).
tcf(c_479,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_128]) ).
tcf(c_480,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c8) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_128]) ).
tcf(c_481,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_482,definition,
iPr_def_14 = multiply(sk_c6,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_483,definition,
iPr_def_15 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_484,definition,
iPr_def_16 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_485,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_486,definition,
iPr_def_18 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_487,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_488,definition,
iPr_def_20 = multiply(sk_c4,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_489,definition,
iPr_def_21 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_490,definition,
iPr_def_22 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_491,definition,
iPr_def_23 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_492,definition,
iPr_def_24 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_493,definition,
iPr_def_25 = multiply(sk_c1,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_494,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_481]) ).
tcf(c_497,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c8) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_480]) ).
tcf(c_498,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_479]) ).
tcf(c_499,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c7) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_478]) ).
tcf(c_500,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_477]) ).
tcf(c_501,negated_conjecture,
( ( iPr_def_15 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_127,c_483,c_482]) ).
tcf(c_502,negated_conjecture,
( ( iPr_def_16 = sk_c9 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_126,c_484]) ).
tcf(c_503,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_125,c_485]) ).
tcf(c_504,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_124,c_486]) ).
tcf(c_505,negated_conjecture,
( ( iPr_def_19 = sk_c9 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_123,c_487]) ).
tcf(c_506,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_122,c_488]) ).
tcf(c_507,negated_conjecture,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_121,c_489]) ).
tcf(c_508,negated_conjecture,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_509,negated_conjecture,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_510,negated_conjecture,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_511,negated_conjecture,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_512,negated_conjecture,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_513,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_115,c_490]) ).
tcf(c_514,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_515,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_516,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_519,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_109,c_491]) ).
tcf(c_520,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_521,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_522,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_525,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_103,c_492]) ).
tcf(c_526,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_529,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_530,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_531,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_97,c_493]) ).
tcf(c_532,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_535,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_536,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_537,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_909,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_512,c_482]) ).
tcf(c_979,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_515,c_482]) ).
tcf(c_1000,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_509,c_486]) ).
tcf(c_1017,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_511,c_488]) ).
tcf(c_1018,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_508,c_488]) ).
tcf(c_1019,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_507,c_488]) ).
tcf(c_1020,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_505,c_488]) ).
tcf(c_1021,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_502,c_488]) ).
tcf(c_1022,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_501,c_488]) ).
tcf(c_1035,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c9 )
| ( sk_c9 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_538]) ).
tcf(c_1037,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_514,c_491]) ).
tcf(c_1038,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_513,c_491]) ).
tcf(c_1058,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_537]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_538]) ).
tcf(c_1088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1061]) ).
tcf(c_1101,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c6) )
| ( inverse(X0) != inverse(sk_c6) ) ),
inference(instantiation,[status(thm)],[c_1088]) ).
tcf(c_1105,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_19 )
| ( iPr_def_19 != inverse(sk_c4) )
| ( inverse(X0) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_1088]) ).
tcf(c_1114,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_487,c_90]) ).
tcf(c_1115,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_485,c_90]) ).
tcf(c_1116,plain,
multiply(iPr_def_16,sk_c6) = identity,
inference(superposition,[status(thm)],[c_484,c_90]) ).
tcf(c_1117,plain,
multiply(iPr_def_24,sk_c1) = identity,
inference(superposition,[status(thm)],[c_492,c_90]) ).
tcf(c_1118,plain,
multiply(iPr_def_22,sk_c2) = identity,
inference(superposition,[status(thm)],[c_490,c_90]) ).
tcf(c_1119,plain,
multiply(iPr_def_21,sk_c3) = identity,
inference(superposition,[status(thm)],[c_489,c_90]) ).
tcf(c_1124,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_516,c_483]) ).
tcf(c_1163,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c9 )
| ( sk_c9 != iPr_def_16 )
| ( inverse(X0) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_1035]) ).
tcf(c_1213,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_519,c_483]) ).
tcf(c_1228,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c9 )
| ( sk_c9 != iPr_def_19 )
| ( inverse(X0) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1035]) ).
tcf(c_1240,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_520,c_483]) ).
tcf(c_1267,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_521,c_483]) ).
tcf(c_1294,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_522,c_483]) ).
tcf(c_1383,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_525,c_493]) ).
tcf(c_1421,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_526,c_493]) ).
tcf(c_1458,plain,
( ( inverse(sk_c6) = iPr_def_16 )
| ( iPr_def_16 != inverse(sk_c6) )
| ( inverse(sk_c6) != inverse(sk_c6) ) ),
inference(instantiation,[status(thm)],[c_1101]) ).
tcf(c_1459,plain,
inverse(sk_c6) = inverse(sk_c6),
inference(instantiation,[status(thm)],[c_1058]) ).
tcf(c_1586,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_529,c_493]) ).
tcf(c_1635,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_530,c_491]) ).
tcf(c_1747,plain,
( ( inverse(sk_c4) = iPr_def_19 )
| ( iPr_def_19 != inverse(sk_c4) )
| ( inverse(sk_c4) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_1105]) ).
tcf(c_1748,plain,
inverse(sk_c4) = inverse(sk_c4),
inference(instantiation,[status(thm)],[c_1058]) ).
tcf(c_2068,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_535,c_491]) ).
tcf(c_2163,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_536,c_491]) ).
tcf(c_2206,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( sk_c9 != iPr_def_16 )
| ( inverse(sk_c6) != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_1163]) ).
tcf(c_2241,plain,
( ~ iPr_def_13
| ( sk_c9 != iPr_def_14 )
| ( inverse(sk_c6) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_482,c_497]) ).
tcf(c_2268,plain,
( ~ iPr_def_13
| ( sk_c9 != iPr_def_16 )
| ( sk_c9 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_2241,c_484]) ).
tcf(c_2373,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( sk_c9 != iPr_def_19 )
| ( inverse(sk_c4) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1228]) ).
tcf(c_2451,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_18 )
| ( inverse(sk_c5) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_486,c_498]) ).
tcf(c_2453,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_23 )
| ( inverse(sk_c2) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_491,c_498]) ).
tcf(c_2475,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_23 )
| ( sk_c8 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2453,c_490]) ).
tcf(c_2483,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_18 )
| ( sk_c8 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2451,c_485]) ).
tcf(c_2702,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_482,c_91]) ).
tcf(c_2706,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_90,c_91]) ).
tcf(c_2708,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1114,c_91]) ).
tcf(c_2709,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1115,c_91]) ).
tcf(c_2710,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1116,c_91]) ).
tcf(c_2711,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1117,c_91]) ).
tcf(c_2712,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1118,c_91]) ).
tcf(c_2713,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1119,c_91]) ).
tcf(c_2717,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2713,c_89]) ).
tcf(c_2718,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2712,c_89]) ).
tcf(c_2719,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2711,c_89]) ).
tcf(c_2720,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2710,c_89]) ).
tcf(c_2721,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2709,c_89]) ).
tcf(c_2722,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2708,c_89]) ).
tcf(c_3465,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_15 )
| ( inverse(sk_c3) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_483,c_499]) ).
tcf(c_3483,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_21 )
| ( sk_c9 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3465,c_489]) ).
tcf(c_3664,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_25 )
| ( inverse(sk_c1) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_493,c_500]) ).
tcf(c_3665,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_20 )
| ( inverse(sk_c4) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_488,c_500]) ).
tcf(c_3689,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_20 )
| ( sk_c9 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_3665,c_487]) ).
tcf(c_3693,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_25 )
| ( sk_c9 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_3664,c_492]) ).
tcf(c_4725,plain,
multiply(iPr_def_21,iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_483,c_2717]) ).
tcf(c_4745,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c8,
inference(superposition,[status(thm)],[c_491,c_2718]) ).
tcf(c_4825,plain,
multiply(iPr_def_24,iPr_def_25) = sk_c9,
inference(superposition,[status(thm)],[c_493,c_2719]) ).
tcf(c_4830,plain,
multiply(iPr_def_16,iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_482,c_2720]) ).
tcf(c_4897,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c6,multiply(iPr_def_20,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_909,c_91]) ).
tcf(c_5000,plain,
multiply(iPr_def_17,iPr_def_18) = sk_c8,
inference(superposition,[status(thm)],[c_486,c_2721]) ).
tcf(c_5005,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c9,
inference(superposition,[status(thm)],[c_488,c_2722]) ).
tcf(c_5008,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_5005,c_91]) ).
tcf(c_5057,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_979,c_2720]) ).
tcf(c_5058,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_5057,c_4830]) ).
tcf(c_5209,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1017,c_2722]) ).
tcf(c_5210,plain,
( ( sk_c9 = iPr_def_21 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5209,c_5005]) ).
tcf(c_5225,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1018,c_2722]) ).
tcf(c_5226,plain,
( ( sk_c9 = iPr_def_21 )
| ( sk_c9 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_5225,c_5005]) ).
tcf(c_5241,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1019,c_2722]) ).
tcf(c_5242,plain,
( ( sk_c9 = iPr_def_21 )
| ( sk_c9 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5241,c_5005]) ).
tcf(c_5253,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1020,c_2722]) ).
tcf(c_5254,plain,
( ( sk_c9 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5253,c_5005]) ).
tcf(c_5322,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1021,c_2722]) ).
tcf(c_5323,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c9 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5322,c_5005]) ).
tcf(c_5334,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1022,c_2722]) ).
tcf(c_5335,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c9 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5334,c_5005]) ).
tcf(c_5543,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1124,c_2717]) ).
tcf(c_5544,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_5543,c_4725]) ).
tcf(c_5779,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1267,c_2717]) ).
tcf(c_5780,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_5779,c_4725]) ).
tcf(c_5791,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1294,c_2717]) ).
tcf(c_5792,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5791,c_4725]) ).
tcf(c_6134,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1586,c_2719]) ).
tcf(c_6135,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6134,c_4825]) ).
tcf(c_6161,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1635,c_2718]) ).
tcf(c_6162,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c9 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6161,c_4745]) ).
tcf(c_6515,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2068,c_2718]) ).
tcf(c_6516,plain,
( ( sk_c8 = iPr_def_25 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6515,c_4745]) ).
tcf(c_6559,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2163,c_2718]) ).
tcf(c_6560,plain,
( ( sk_c8 = iPr_def_25 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6559,c_4745]) ).
tcf(c_8359,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2706,c_89]) ).
tcf(c_8372,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_89,c_8359]) ).
tcf(c_8373,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_90,c_8359]) ).
tcf(c_8487,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2722,c_8359]) ).
tcf(c_8488,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2721,c_8359]) ).
tcf(c_8489,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2720,c_8359]) ).
tcf(c_8490,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2719,c_8359]) ).
tcf(c_8491,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2718,c_8359]) ).
tcf(c_8492,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2717,c_8359]) ).
tcf(c_8513,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_8359,c_8359]) ).
tcf(c_8855,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_8373,c_8513]) ).
tcf(c_8885,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_8855,c_8372]) ).
tcf(c_8919,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_8487,c_90]) ).
tcf(c_8923,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_19)) != sk_c9 )
| ( multiply(sk_c4,sk_c8) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_8487,c_497]) ).
tcf(c_8924,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_19)) != sk_c9 )
| ( multiply(sk_c4,sk_c7) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_8487,c_499]) ).
tcf(c_8925,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_8487,c_8359]) ).
tcf(c_8926,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_8487,c_8855]) ).
tcf(c_9222,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_8926,c_8855]) ).
tcf(c_9227,plain,
multiply(sk_c4,sk_c9) = iPr_def_20,
inference(superposition,[status(thm)],[c_5005,c_8925]) ).
tcf(c_9273,plain,
multiply(sk_c5,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_8488,c_90]) ).
tcf(c_9279,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_8488,c_8359]) ).
tcf(c_9280,plain,
multiply(sk_c5,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_8488,c_8855]) ).
tcf(c_9298,plain,
( ( identity = iPr_def_18 )
| ( sk_c9 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1000,c_9273]) ).
tcf(c_10213,plain,
inverse(iPr_def_17) = sk_c5,
inference(demodulation,[status(thm)],[c_9280,c_8855]) ).
tcf(c_10218,plain,
multiply(sk_c5,sk_c8) = iPr_def_18,
inference(superposition,[status(thm)],[c_5000,c_9279]) ).
tcf(c_11096,plain,
( ~ iPr_def_11
| ( inverse(sk_c4) != sk_c9 )
| ( multiply(sk_c4,sk_c7) != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_499]) ).
tcf(c_11097,plain,
( ~ iPr_def_11
| ( inverse(sk_c6) != sk_c9 )
| ( multiply(sk_c6,sk_c7) != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_499]) ).
tcf(c_12113,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_16)) != sk_c9 )
| ( multiply(sk_c6,sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_8489,c_500]) ).
tcf(c_12119,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_16)) != sk_c9 )
| ( multiply(sk_c6,sk_c7) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_8489,c_499]) ).
tcf(c_12120,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_8489,c_8359]) ).
tcf(c_12121,plain,
multiply(sk_c6,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_8489,c_8855]) ).
tcf(c_12382,plain,
multiply(sk_c1,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_8490,c_90]) ).
tcf(c_12425,plain,
( ( identity = iPr_def_25 )
| ( sk_c9 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1421,c_12382]) ).
tcf(c_12426,plain,
( ( identity = iPr_def_25 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1383,c_12382]) ).
tcf(c_14828,plain,
multiply(sk_c2,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_8491,c_90]) ).
tcf(c_14852,plain,
( ( identity = iPr_def_23 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1038,c_14828]) ).
tcf(c_14853,plain,
( ( identity = iPr_def_23 )
| ( sk_c9 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1037,c_14828]) ).
tcf(c_19277,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_21)) != sk_c9 )
| ( multiply(sk_c3,sk_c8) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_8492,c_497]) ).
tcf(c_19280,plain,
multiply(sk_c3,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_8492,c_8855]) ).
tcf(c_19332,plain,
inverse(iPr_def_21) = sk_c3,
inference(demodulation,[status(thm)],[c_19280,c_8855]) ).
tcf(c_25655,plain,
( ~ iPr_def_13
| ( sk_c9 != iPr_def_19 )
| ( multiply(sk_c4,sk_c8) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_8923,c_487,c_9222]) ).
tcf(c_25801,plain,
( ~ iPr_def_11
| ( multiply(sk_c4,sk_c7) != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_8924,c_487,c_1747,c_1748,c_2373,c_3483,c_5210,c_5254,c_11096]) ).
tcf(c_25824,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_11
| ( multiply(sk_c4,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_520,c_25801]) ).
tcf(c_26485,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_25824,c_3483,c_5226,c_5323]) ).
tcf(c_30274,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_2475,c_2483,c_2475,c_5058,c_5544]) ).
tcf(c_30276,plain,
~ iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_30274,c_2483,c_5780,c_5792,c_30274]) ).
tcf(c_30278,plain,
( iPr_def_13
| iPr_def_11
| iPr_def_10 ),
inference(backward_subsumption_resolution,[status(thm)],[c_494,c_30276]) ).
tcf(c_30344,plain,
( ~ iPr_def_10
| ( multiply(sk_c6,sk_c9) != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_12113,c_3693,c_3689,c_6135,c_6162,c_6516,c_6560]) ).
tcf(c_30389,plain,
( ( sk_c9 = iPr_def_19 )
| ~ iPr_def_10
| ( multiply(sk_c6,iPr_def_24) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_529,c_30344]) ).
tcf(c_31313,plain,
( ( sk_c9 = iPr_def_19 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_30389,c_3693,c_3689,c_6135,c_6162,c_6516,c_6560]) ).
tcf(c_31315,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_31313,c_3693,c_3689,c_6162,c_6560,c_31313]) ).
tcf(c_31317,plain,
( iPr_def_13
| iPr_def_11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_30278,c_31315]) ).
tcf(c_32019,plain,
( ~ iPr_def_11
| ( multiply(sk_c6,sk_c7) != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_12119,c_484,c_1458,c_1459,c_2206,c_11097,c_26485]) ).
tcf(c_32045,plain,
( ( sk_c9 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(sk_c6,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_510,c_32019]) ).
tcf(c_32046,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_11
| ( multiply(sk_c6,iPr_def_18) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_504,c_32019]) ).
tcf(c_32144,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_18) != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_32045,c_494,c_2268,c_2483,c_3693,c_3689,c_5226,c_5242,c_5780,c_5792,c_6135,c_6162,c_6516,c_6560,c_30274,c_32045]) ).
tcf(c_32150,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_32046,c_494,c_2268,c_5323,c_5335,c_30276,c_31315,c_32046]) ).
tcf(c_32910,plain,
( ~ iPr_def_13
| ( sk_c9 != iPr_def_21 )
| ( multiply(sk_c3,sk_c8) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_19277,c_489,c_19332]) ).
tcf(c_32948,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_13
| ( sk_c9 != iPr_def_21 )
| ( multiply(sk_c3,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_532,c_32910]) ).
tcf(c_32949,plain,
( ( sk_c9 = iPr_def_14 )
| ~ iPr_def_13
| ( sk_c9 != iPr_def_21 )
| ( multiply(sk_c3,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_531,c_32910]) ).
tcf(c_36496,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_8513,c_90]) ).
tcf(c_36502,plain,
! [X0: $i] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_8513,c_8855]) ).
tcf(c_36503,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_36502,c_8855]) ).
tcf(c_36906,plain,
inverse(sk_c4) = iPr_def_19,
inference(superposition,[status(thm)],[c_9222,c_36503]) ).
tcf(c_36907,plain,
inverse(sk_c5) = iPr_def_17,
inference(superposition,[status(thm)],[c_10213,c_36503]) ).
tcf(c_42074,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_36496,c_91]) ).
tcf(c_42091,plain,
multiply(sk_c9,inverse(iPr_def_20)) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_36496,c_5008]) ).
tcf(c_42101,plain,
multiply(iPr_def_14,inverse(sk_c8)) = multiply(sk_c6,identity),
inference(superposition,[status(thm)],[c_36496,c_2702]) ).
tcf(c_42113,plain,
multiply(iPr_def_19,identity) = inverse(sk_c4),
inference(superposition,[status(thm)],[c_36496,c_2722]) ).
tcf(c_42114,plain,
multiply(iPr_def_17,identity) = inverse(sk_c5),
inference(superposition,[status(thm)],[c_36496,c_2721]) ).
tcf(c_42480,plain,
multiply(sk_c5,multiply(iPr_def_17,inverse(identity))) = identity,
inference(superposition,[status(thm)],[c_9273,c_42074]) ).
tcf(c_42486,plain,
multiply(sk_c4,multiply(iPr_def_19,inverse(identity))) = identity,
inference(superposition,[status(thm)],[c_8919,c_42074]) ).
tcf(c_42713,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(X0,inverse(multiply(iPr_def_20,X0)))) = multiply(sk_c6,identity) ) ),
inference(superposition,[status(thm)],[c_42074,c_4897]) ).
tcf(c_42720,plain,
! [X0: $i] : multiply(sk_c9,multiply(X0,inverse(multiply(iPr_def_20,X0)))) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_42074,c_5008]) ).
tcf(c_42784,plain,
! [X0: $i] : multiply(X0,inverse(multiply(iPr_def_16,X0))) = multiply(sk_c6,identity),
inference(superposition,[status(thm)],[c_42074,c_12120]) ).
tcf(c_42826,plain,
multiply(sk_c4,multiply(iPr_def_19,identity)) = identity,
inference(light_normalisation,[status(thm)],[c_42486,c_8885]) ).
tcf(c_42827,plain,
multiply(sk_c5,multiply(iPr_def_17,identity)) = identity,
inference(light_normalisation,[status(thm)],[c_42480,c_8885]) ).
tcf(c_42839,plain,
! [X0: $i] : multiply(X0,inverse(multiply(iPr_def_16,X0))) = multiply(iPr_def_14,inverse(sk_c8)),
inference(light_normalisation,[status(thm)],[c_42784,c_42101]) ).
tcf(c_43378,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(X0,inverse(multiply(iPr_def_20,X0)))) = multiply(iPr_def_14,inverse(sk_c8)) ) ),
inference(light_normalisation,[status(thm)],[c_42713,c_42101]) ).
tcf(c_44831,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_43378,c_42839,c_42827,c_42826,c_42784,c_42720,c_42091,c_42114,c_42113,c_36907,c_36906,c_32949,c_32948,c_32150,c_32144,c_31317,c_25655,c_14853,c_14852,c_12426,c_12425,c_12121,c_10218,c_9298,c_9227,c_8926,c_5242,c_5210,c_3483,c_2268,c_1240,c_1213,c_506,c_505,c_503,c_502,c_501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP247-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 14:18:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 10.07/2.79 % SZS status Started for theBenchmark.p
% 10.07/2.79 % SZS status Unsatisfiable for theBenchmark.p
% 10.07/2.79
% 10.07/2.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.07/2.79
% 10.07/2.79 % ------ iProver source info
% 10.07/2.79
% 10.07/2.79 % git: date: 2026-07-19 20:42:38 +0200
% 10.07/2.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.07/2.79 % git: non_committed_changes: false
% 10.07/2.79
% 10.07/2.79 % ------ Parsing...% successful
% 10.07/2.79
% 10.07/2.79
% 10.07/2.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.07/2.79
% 10.07/2.79 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.07/2.79
% 10.07/2.79 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.07/2.79
% 10.07/2.79 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.07/2.79 % ------ Proving...
% 10.07/2.79 % ------ Problem Properties
% 10.07/2.79
% 10.07/2.79 %
% 10.07/2.79 % clauses 56
% 10.07/2.79 % conjectures 41
% 10.07/2.79 % EPR 37
% 10.07/2.79 % Horn 19
% 10.07/2.79 % unary 15
% 10.07/2.79 % binary 36
% 10.07/2.79 % lits 103
% 10.07/2.79 % lits eq 95
% 10.07/2.79 % fd_pure 0
% 10.07/2.79 % fd_pseudo 0
% 10.07/2.79 % fd_cond 0
% 10.07/2.79 % fd_pseudo_cond 0
% 10.07/2.79 % AC symbols 0
% 10.07/2.79
% 10.07/2.79 % ------ Schedule dynamic 5 is on
% 10.07/2.79
% 10.07/2.79 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.07/2.79
% 10.07/2.79
% 10.07/2.79 % ------
% 10.07/2.79 % Current options:
% 10.07/2.79 % ------
% 10.07/2.79
% 10.07/2.79
% 10.07/2.79 %
% 10.07/2.79
% 10.07/2.79 % ------ Proving...
% 10.07/2.79 %
% 10.07/2.79
% 10.07/2.79 % SZS status Unsatisfiable for theBenchmark.p
% 10.07/2.79
% 10.07/2.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.00/2.80
% 14.00/2.80
%------------------------------------------------------------------------------