%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP264-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 01:32:38 PM UTC 2026
% Result : Unsatisfiable 8.25s 1.61s
% Output : CNFRefutation 8.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 36
% Syntax : Number of formulae : 225 ( 76 unt; 11 def)
% Number of atoms : 668 ( 399 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 305 ( 99 ~; 206 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c9 = inverse(sk_c3)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f11]) ).
fof(f19,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = inverse(sk_c3)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f33,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c9 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f35]) ).
fof(f39,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c9 = inverse(sk_c3)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(X2) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(X1,sk_c8)
| inverse(X0) != sk_c9
| sk_c8 != multiply(X0,sk_c9) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(X1,sk_c8)
| inverse(X0) != sk_c9
| sk_c8 != multiply(X0,sk_c9) ),
inference(equality_resolution,[],[f62]) ).
tcf(c_81,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_82,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_84,negated_conjecture,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_85,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_103,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c9 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(X4) != sk_c8 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c9 )
| ( inverse(X0) != sk_c9 )
| ( multiply(X3,sk_c8) != sk_c7 )
| ( multiply(X2,sk_c7) != sk_c8 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( multiply(X0,sk_c9) != sk_c8 )
| ( multiply(sk_c8,multiply(X4,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_389,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_112]) ).
tcf(c_390,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_112]) ).
tcf(c_391,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_112]) ).
tcf(c_392,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_112]) ).
tcf(c_393,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_112]) ).
tcf(c_394,definition,
iPr_def_14 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_395,definition,
iPr_def_15 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_396,definition,
iPr_def_16 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_397,definition,
iPr_def_17 = multiply(sk_c8,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_398,definition,
iPr_def_18 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_399,definition,
iPr_def_19 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_400,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_401,definition,
iPr_def_21 = multiply(sk_c3,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_402,definition,
iPr_def_22 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_403,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_404,definition,
iPr_def_24 = multiply(sk_c1,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_405,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_393]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_392]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_391]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_390]) ).
tcf(c_410,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_389]) ).
tcf(c_411,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_111,c_395,c_394]) ).
tcf(c_412,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_110,c_396]) ).
tcf(c_413,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_109,c_397]) ).
tcf(c_414,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_108,c_398]) ).
tcf(c_415,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107,c_399]) ).
tcf(c_416,negated_conjecture,
( ( iPr_def_20 = sk_c9 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_106,c_400]) ).
tcf(c_417,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_105,c_401]) ).
tcf(c_418,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_104,c_402]) ).
tcf(c_419,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_420,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_421,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_423,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_424,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_428,negated_conjecture,
( ( iPr_def_23 = sk_c9 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_429,negated_conjecture,
( ( iPr_def_23 = sk_c9 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_23 = sk_c9 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_23 = sk_c9 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_723,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_418,c_399]) ).
tcf(c_738,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_419,c_397]) ).
tcf(c_747,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_420,c_399]) ).
tcf(c_764,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_421,c_399]) ).
tcf(c_798,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_423,c_399]) ).
tcf(c_815,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_424,c_399]) ).
tcf(c_856,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_400,c_82]) ).
tcf(c_857,plain,
multiply(iPr_def_18,sk_c4) = identity,
inference(superposition,[status(thm)],[c_398,c_82]) ).
tcf(c_858,plain,
multiply(iPr_def_14,sk_c5) = identity,
inference(superposition,[status(thm)],[c_394,c_82]) ).
tcf(c_859,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_403,c_82]) ).
tcf(c_860,plain,
multiply(iPr_def_15,sk_c2) = identity,
inference(superposition,[status(thm)],[c_395,c_82]) ).
tcf(c_948,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_428,c_399]) ).
tcf(c_996,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_429,c_404]) ).
tcf(c_1011,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_430,c_404]) ).
tcf(c_1026,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_431,c_404]) ).
tcf(c_1166,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_435,c_399]) ).
tcf(c_1217,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_436,c_402]) ).
tcf(c_1249,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_437,c_404]) ).
tcf(c_1302,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_438,c_402]) ).
tcf(c_1335,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_397,c_83]) ).
tcf(c_1339,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_82,c_83]) ).
tcf(c_1341,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_856,c_83]) ).
tcf(c_1342,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_857,c_83]) ).
tcf(c_1343,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_858,c_83]) ).
tcf(c_1344,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_859,c_83]) ).
tcf(c_1346,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1344,c_81]) ).
tcf(c_1347,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1343,c_81]) ).
tcf(c_1348,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1342,c_81]) ).
tcf(c_1349,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1341,c_81]) ).
tcf(c_1374,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_860,c_83]) ).
tcf(c_1375,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1374,c_81]) ).
tcf(c_1500,plain,
( ~ iPr_def_12
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_82,c_407]) ).
tcf(c_1633,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c4) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_399,c_409]) ).
tcf(c_1635,plain,
( ~ iPr_def_11
| ( sk_c8 != identity )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_82,c_409]) ).
tcf(c_1652,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_18 )
| ( sk_c8 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1633,c_398]) ).
tcf(c_1796,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_404,c_410]) ).
tcf(c_1797,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_21 )
| ( inverse(sk_c3) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_401,c_410]) ).
tcf(c_1811,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_21 )
| ( sk_c9 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_1797,c_400]) ).
tcf(c_1815,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_24 )
| ( sk_c9 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_1796,c_403]) ).
tcf(c_2253,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c9,
inference(superposition,[status(thm)],[c_404,c_1346]) ).
tcf(c_2279,plain,
multiply(iPr_def_14,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_396,c_1347]) ).
tcf(c_2294,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2279,c_83]) ).
tcf(c_2296,plain,
multiply(iPr_def_18,iPr_def_19) = sk_c7,
inference(superposition,[status(thm)],[c_399,c_1348]) ).
tcf(c_2310,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c9,
inference(superposition,[status(thm)],[c_401,c_1349]) ).
tcf(c_2472,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_723,c_1348]) ).
tcf(c_2473,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_2472,c_2296]) ).
tcf(c_2496,plain,
multiply(iPr_def_15,iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_402,c_1375]) ).
tcf(c_2499,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2496,c_83]) ).
tcf(c_2563,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_747,c_1348]) ).
tcf(c_2564,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2563,c_2296]) ).
tcf(c_2657,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_764,c_1348]) ).
tcf(c_2658,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2657,c_2296]) ).
tcf(c_2698,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_798,c_1348]) ).
tcf(c_2699,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c9 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2698,c_2296]) ).
tcf(c_2710,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_815,c_1348]) ).
tcf(c_2711,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2710,c_2296]) ).
tcf(c_2947,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_948,c_1348]) ).
tcf(c_2948,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2947,c_2296]) ).
tcf(c_2981,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1011,c_1346]) ).
tcf(c_2982,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c9 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2981,c_2253]) ).
tcf(c_3012,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1026,c_1346]) ).
tcf(c_3013,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_3012,c_2253]) ).
tcf(c_3210,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1166,c_1348]) ).
tcf(c_3211,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c8 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_3210,c_2296]) ).
tcf(c_3223,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1217,c_1375]) ).
tcf(c_3224,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_3223,c_2496]) ).
tcf(c_3268,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1249,c_1346]) ).
tcf(c_3269,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c9 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_3268,c_2253]) ).
tcf(c_3291,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1302,c_1375]) ).
tcf(c_3292,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_3291,c_2496]) ).
tcf(c_4337,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1339,c_81]) ).
tcf(c_4349,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_81,c_4337]) ).
tcf(c_4350,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_82,c_4337]) ).
tcf(c_4421,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1349,c_4337]) ).
tcf(c_4422,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1348,c_4337]) ).
tcf(c_4424,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1346,c_4337]) ).
tcf(c_4425,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1375,c_4337]) ).
tcf(c_4444,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4337,c_4337]) ).
tcf(c_4737,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4350,c_4444]) ).
tcf(c_4751,plain,
multiply(sk_c8,sk_c6) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_4737,c_1335]) ).
tcf(c_4752,plain,
multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_4737,c_2294]) ).
tcf(c_4755,plain,
multiply(sk_c8,identity) = multiply(iPr_def_15,iPr_def_22),
inference(superposition,[status(thm)],[c_4737,c_2499]) ).
tcf(c_4761,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4737,c_4349]) ).
tcf(c_4762,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_4755,c_2496]) ).
tcf(c_4766,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_4751,c_397]) ).
tcf(c_4777,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_4761,c_82]) ).
tcf(c_6086,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_1811,c_1815,c_1811,c_2982,c_3269]) ).
tcf(c_6088,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_6086,c_1815,c_3013,c_3292,c_6086]) ).
tcf(c_6090,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_405,c_6088]) ).
tcf(c_6147,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_4421,c_82]) ).
tcf(c_6153,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_4421,c_4337]) ).
tcf(c_6818,plain,
multiply(sk_c3,sk_c9) = iPr_def_21,
inference(superposition,[status(thm)],[c_2310,c_6153]) ).
tcf(c_7358,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_18)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4422,c_406]) ).
tcf(c_7360,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_4422,c_4337]) ).
tcf(c_7361,plain,
multiply(sk_c4,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_4422,c_4737]) ).
tcf(c_7864,plain,
inverse(iPr_def_18) = sk_c4,
inference(demodulation,[status(thm)],[c_7361,c_4737]) ).
tcf(c_7868,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_857,c_7360]) ).
tcf(c_7869,plain,
multiply(sk_c4,sk_c7) = iPr_def_19,
inference(superposition,[status(thm)],[c_2296,c_7360]) ).
tcf(c_8864,plain,
multiply(sk_c1,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_4424,c_82]) ).
tcf(c_8870,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_4424,c_4337]) ).
tcf(c_8885,plain,
( ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_996,c_8864]) ).
tcf(c_9274,plain,
multiply(sk_c1,sk_c9) = iPr_def_24,
inference(superposition,[status(thm)],[c_2253,c_8870]) ).
tcf(c_9992,plain,
multiply(sk_c2,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_4425,c_82]) ).
tcf(c_9996,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_15)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c2,sk_c8)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4425,c_406]) ).
tcf(c_9998,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_4425,c_4337]) ).
tcf(c_9999,plain,
multiply(sk_c2,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_4425,c_4737]) ).
tcf(c_10724,plain,
inverse(iPr_def_15) = sk_c2,
inference(demodulation,[status(thm)],[c_9999,c_4737]) ).
tcf(c_10734,plain,
multiply(sk_c2,sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_2496,c_9998]) ).
tcf(c_11945,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_10734,c_10724,c_9996,c_9992,c_9274,c_8885,c_8864,c_7869,c_7868,c_7864,c_7358,c_6818,c_6147,c_6090,c_4766,c_4762,c_4755,c_4752,c_4751,c_4761,c_3224,c_3211,c_2948,c_2711,c_2699,c_2658,c_2564,c_4777,c_2473,c_1652,c_1635,c_1500,c_738,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_398,c_395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP264-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.34 % Computer : n013.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Wed Sep 23 14:17:51 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.39 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 8.25/1.61 % SZS status Started for theBenchmark.p
% 8.25/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 8.25/1.61
% 8.25/1.61 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.25/1.61
% 8.25/1.61 % ------ iProver source info
% 8.25/1.61
% 8.25/1.61 % git: date: 2026-07-19 20:42:38 +0200
% 8.25/1.61 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.25/1.61 % git: non_committed_changes: false
% 8.25/1.61
% 8.25/1.61 % ------ Parsing...% successful
% 8.25/1.61
% 8.25/1.61
% 8.25/1.61 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.25/1.61
% 8.25/1.61 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.25/1.61
% 8.25/1.61 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.25/1.61
% 8.25/1.61 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.25/1.61 % ------ Proving...
% 8.25/1.61 % ------ Problem Properties
% 8.25/1.61
% 8.25/1.61 %
% 8.25/1.61 % clauses 47
% 8.25/1.61 % conjectures 33
% 8.25/1.61 % EPR 29
% 8.25/1.61 % Horn 18
% 8.25/1.61 % unary 14
% 8.25/1.61 % binary 28
% 8.25/1.61 % lits 86
% 8.25/1.61 % lits eq 78
% 8.25/1.61 % fd_pure 0
% 8.25/1.61 % fd_pseudo 0
% 8.25/1.61 % fd_cond 0
% 8.25/1.61 % fd_pseudo_cond 0
% 8.25/1.61 % AC symbols 0
% 8.25/1.61
% 8.25/1.61 % ------ Schedule dynamic 5 is on
% 8.25/1.61
% 8.25/1.61 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.25/1.61
% 8.25/1.61
% 8.25/1.61 % ------
% 8.25/1.61 % Current options:
% 8.25/1.61 % ------
% 8.25/1.61
% 8.25/1.61
% 8.25/1.61 %
% 8.25/1.61
% 8.25/1.61 % ------ Proving...
% 8.25/1.61 %
% 8.25/1.61
% 8.25/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 8.25/1.61
% 8.25/1.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.25/1.62
% 8.25/1.62
%------------------------------------------------------------------------------