%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP226-1 : 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 : n014.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 01:31:52 PM UTC 2026
% Result : Unsatisfiable 5.53s 1.64s
% Output : CNFRefutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 33
% Syntax : Number of formulae : 218 ( 74 unt; 9 def)
% Number of atoms : 644 ( 375 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 304 ( 109 ~; 195 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?; 47 :)
% 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,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c1) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| inverse(sk_c1) = sk_c7 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| inverse(sk_c1) = sk_c7 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = inverse(sk_c5)
| inverse(sk_c1) = sk_c7 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c7,sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c7,sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c3) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c7,sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c7,sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = inverse(sk_c5)
| sk_c6 = multiply(sk_c7,sk_c3) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c6 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c6
| multiply(X4,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| inverse(X3) != sk_c7
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != X1
| multiply(sk_c7,X1) != sk_c6
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X2)
| multiply(X2,sk_c7) != X1
| sk_c6 != multiply(sk_c7,X1)
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c7 ),
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
! [X2,X3,X0,X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X2)
| sk_c6 != multiply(sk_c7,multiply(X2,sk_c7))
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c7 ),
inference(equality_resolution,[],[f46]) ).
tcf(c_73,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_74,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_76,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_77,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_78,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_79,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_80,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_81,negated_conjecture,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_82,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_83,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_84,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_85,negated_conjecture,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c6 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 )
| ( multiply(sk_c7,multiply(X3,sk_c7)) != sk_c6 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_301,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_96]) ).
tcf(c_302,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_96]) ).
tcf(c_303,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_96]) ).
tcf(c_304,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_96]) ).
tcf(c_305,definition,
iPr_def_13 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_306,definition,
iPr_def_14 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_307,definition,
iPr_def_15 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_308,definition,
iPr_def_16 = multiply(sk_c4,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_309,definition,
iPr_def_17 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_310,definition,
iPr_def_18 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_311,definition,
iPr_def_19 = multiply(sk_c7,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_312,definition,
iPr_def_20 = multiply(sk_c1,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_313,definition,
iPr_def_21 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_314,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_304]) ).
tcf(c_315,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_303]) ).
tcf(c_316,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_302]) ).
tcf(c_318,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_301]) ).
tcf(c_319,negated_conjecture,
( ( iPr_def_14 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95,c_306,c_305]) ).
tcf(c_320,negated_conjecture,
( ( iPr_def_15 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94,c_307]) ).
tcf(c_321,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93,c_308]) ).
tcf(c_322,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92,c_309]) ).
tcf(c_323,negated_conjecture,
( ( iPr_def_18 = sk_c3 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_91,c_310]) ).
tcf(c_324,negated_conjecture,
( ( iPr_def_18 = sk_c3 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_325,negated_conjecture,
( ( iPr_def_18 = sk_c3 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_326,negated_conjecture,
( ( iPr_def_18 = sk_c3 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_327,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87,c_311]) ).
tcf(c_328,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_329,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_330,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_331,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_83,c_312]) ).
tcf(c_332,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_333,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_334,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_335,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_79,c_313]) ).
tcf(c_336,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_337,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_338,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_556,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_325,c_311]) ).
tcf(c_557,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_324,c_311]) ).
tcf(c_558,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_323,c_311]) ).
tcf(c_575,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_326,c_311]) ).
tcf(c_650,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_331,c_308]) ).
tcf(c_676,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_332,c_310]) ).
tcf(c_708,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_333,c_310]) ).
tcf(c_772,plain,
multiply(iPr_def_21,sk_c1) = identity,
inference(superposition,[status(thm)],[c_313,c_74]) ).
tcf(c_773,plain,
multiply(iPr_def_17,sk_c4) = identity,
inference(superposition,[status(thm)],[c_309,c_74]) ).
tcf(c_774,plain,
multiply(iPr_def_13,sk_c5) = identity,
inference(superposition,[status(thm)],[c_305,c_74]) ).
tcf(c_775,plain,
multiply(iPr_def_14,sk_c2) = identity,
inference(superposition,[status(thm)],[c_306,c_74]) ).
tcf(c_784,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_334,c_310]) ).
tcf(c_815,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_335,c_312]) ).
tcf(c_859,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_336,c_310]) ).
tcf(c_908,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_337,c_310]) ).
tcf(c_952,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_338,c_310]) ).
tcf(c_985,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_15 )
| ( inverse(sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_307,c_316]) ).
tcf(c_986,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c1) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_312,c_316]) ).
tcf(c_999,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_21 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_986,c_313]) ).
tcf(c_1003,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_13 )
| ( sk_c7 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_985,c_305]) ).
tcf(c_1080,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c4) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_308,c_318]) ).
tcf(c_1082,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_312,c_318]) ).
tcf(c_1095,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_21 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_1082,c_313]) ).
tcf(c_1103,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_17 )
| ( sk_c7 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_1080,c_309]) ).
tcf(c_1175,plain,
( ~ iPr_def_12
| ( inverse(identity) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_73,c_315]) ).
tcf(c_1176,plain,
( ~ iPr_def_12
| ( multiply(sk_c7,identity) != sk_c6 )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_74,c_315]) ).
tcf(c_1588,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_74,c_75]) ).
tcf(c_1591,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_772,c_75]) ).
tcf(c_1592,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_773,c_75]) ).
tcf(c_1593,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_774,c_75]) ).
tcf(c_1594,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_775,c_75]) ).
tcf(c_1599,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1594,c_73]) ).
tcf(c_1600,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1593,c_73]) ).
tcf(c_1601,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1592,c_73]) ).
tcf(c_1602,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1591,c_73]) ).
tcf(c_1992,plain,
multiply(iPr_def_14,iPr_def_18) = sk_c7,
inference(superposition,[status(thm)],[c_310,c_1599]) ).
tcf(c_2001,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_1992,c_75]) ).
tcf(c_2003,plain,
multiply(iPr_def_13,iPr_def_15) = sk_c6,
inference(superposition,[status(thm)],[c_307,c_1600]) ).
tcf(c_2009,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(iPr_def_15,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2003,c_75]) ).
tcf(c_2194,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_336,c_557]) ).
tcf(c_2221,plain,
multiply(iPr_def_17,iPr_def_16) = sk_c6,
inference(superposition,[status(thm)],[c_308,c_1601]) ).
tcf(c_2233,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_16,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2221,c_75]) ).
tcf(c_2249,plain,
multiply(iPr_def_21,iPr_def_20) = sk_c6,
inference(superposition,[status(thm)],[c_312,c_1602]) ).
tcf(c_2252,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_20,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2249,c_75]) ).
tcf(c_2606,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_650,c_1601]) ).
tcf(c_2607,plain,
( ( sk_c6 = iPr_def_13 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2606,c_2221]) ).
tcf(c_2779,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_676,c_1599]) ).
tcf(c_2780,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_2779,c_1992]) ).
tcf(c_2812,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_708,c_1599]) ).
tcf(c_2813,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2812,c_1992]) ).
tcf(c_2907,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_784,c_1599]) ).
tcf(c_2908,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2907,c_1992]) ).
tcf(c_3019,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_815,c_1602]) ).
tcf(c_3020,plain,
( ( sk_c6 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_3019,c_2249]) ).
tcf(c_3069,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_859,c_1599]) ).
tcf(c_3070,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3069,c_1992]) ).
tcf(c_3199,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_908,c_1599]) ).
tcf(c_3200,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_3199,c_1992]) ).
tcf(c_3229,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_952,c_1599]) ).
tcf(c_3230,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3229,c_1992]) ).
tcf(c_3963,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1588,c_73]) ).
tcf(c_3973,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_73,c_3963]) ).
tcf(c_3974,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_74,c_3963]) ).
tcf(c_3975,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_75,c_3963]) ).
tcf(c_4041,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1602,c_3963]) ).
tcf(c_4042,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1601,c_3963]) ).
tcf(c_4043,plain,
! [X0: $i] : multiply(inverse(iPr_def_13),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1600,c_3963]) ).
tcf(c_4044,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1599,c_3963]) ).
tcf(c_4060,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3963,c_3963]) ).
tcf(c_5004,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_3974,c_4060]) ).
tcf(c_5016,plain,
multiply(sk_c6,identity) = multiply(iPr_def_17,iPr_def_16),
inference(superposition,[status(thm)],[c_5004,c_2233]) ).
tcf(c_5020,plain,
multiply(sk_c6,identity) = multiply(iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_5004,c_2009]) ).
tcf(c_5021,plain,
multiply(sk_c6,identity) = multiply(iPr_def_21,iPr_def_20),
inference(superposition,[status(thm)],[c_5004,c_2252]) ).
tcf(c_5023,plain,
multiply(sk_c7,identity) = multiply(iPr_def_14,iPr_def_18),
inference(superposition,[status(thm)],[c_5004,c_2001]) ).
tcf(c_5029,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5004,c_3973]) ).
tcf(c_5031,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_5023,c_1992]) ).
tcf(c_5033,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_5021,c_2249]) ).
tcf(c_5042,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_999,c_1003,c_999,c_2607,c_2780]) ).
tcf(c_5055,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_335,c_5042]) ).
tcf(c_5057,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_19 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_330,c_5042]) ).
tcf(c_5059,plain,
( ( sk_c7 = iPr_def_15 )
| ~ iPr_def_11
| ( iPr_def_19 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_328,c_5042]) ).
tcf(c_5060,plain,
( ( sk_c6 = iPr_def_13 )
| ~ iPr_def_11
| ( iPr_def_19 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_327,c_5042]) ).
tcf(c_5086,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_5055,c_1003,c_3020,c_3070]) ).
tcf(c_5098,plain,
( ( iPr_def_19 != iPr_def_21 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_5057,c_1003,c_5060,c_5059]) ).
tcf(c_5099,plain,
( ~ iPr_def_11
| ( iPr_def_19 != iPr_def_21 ) ),
inference(renaming,[status(thm)],[c_5098]) ).
tcf(c_5506,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_1095,c_1103,c_1095,c_2813,c_2908]) ).
tcf(c_5508,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_5506,c_1103,c_3200,c_3230,c_5506]) ).
tcf(c_5510,plain,
( iPr_def_12
| iPr_def_11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_314,c_5508]) ).
tcf(c_6584,plain,
multiply(sk_c1,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_4041,c_74]) ).
tcf(c_6629,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_6584,c_1602]) ).
tcf(c_6845,plain,
multiply(sk_c4,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_4042,c_74]) ).
tcf(c_6850,plain,
multiply(sk_c4,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_4042,c_5004]) ).
tcf(c_6927,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_6845,c_1601]) ).
tcf(c_7208,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = iPr_def_17,
inference(superposition,[status(thm)],[c_6845,c_3975]) ).
tcf(c_7220,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),X0) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_7208,c_5004]) ).
tcf(c_8234,plain,
inverse(iPr_def_17) = sk_c4,
inference(demodulation,[status(thm)],[c_6850,c_5004]) ).
tcf(c_8293,plain,
multiply(sk_c5,iPr_def_13) = identity,
inference(superposition,[status(thm)],[c_4043,c_74]) ).
tcf(c_8300,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_13,X0)) = X0,
inference(superposition,[status(thm)],[c_4043,c_3963]) ).
tcf(c_8983,plain,
multiply(sk_c5,sk_c6) = iPr_def_15,
inference(superposition,[status(thm)],[c_2003,c_8300]) ).
tcf(c_9040,plain,
( ~ iPr_def_12
| ( sk_c7 != identity )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1175,c_5029]) ).
tcf(c_9618,plain,
multiply(sk_c2,iPr_def_14) = identity,
inference(superposition,[status(thm)],[c_4044,c_74]) ).
tcf(c_9625,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_4044,c_3963]) ).
tcf(c_9626,plain,
multiply(sk_c2,identity) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_4044,c_5004]) ).
tcf(c_9671,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_1176,c_5004]) ).
tcf(c_10194,plain,
inverse(iPr_def_14) = sk_c2,
inference(demodulation,[status(thm)],[c_9626,c_5004]) ).
tcf(c_10203,plain,
multiply(sk_c2,sk_c7) = iPr_def_18,
inference(superposition,[status(thm)],[c_1992,c_9625]) ).
tcf(c_11866,plain,
multiply(inverse(identity),iPr_def_17) = iPr_def_17,
inference(superposition,[status(thm)],[c_773,c_7220]) ).
tcf(c_11874,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_17 )
| ( inverse(inverse(multiply(sk_c6,sk_c4))) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_7220,c_316]) ).
tcf(c_11883,plain,
multiply(identity,iPr_def_17) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_11866,c_5029]) ).
tcf(c_13038,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_11874,c_10203,c_10194,c_9671,c_9618,c_9040,c_8983,c_8293,c_8234,c_6927,c_6629,c_5510,c_11883,c_5099,c_5086,c_5033,c_5031,c_5023,c_5020,c_5016,c_5029,c_2194,c_1003,c_575,c_558,c_557,c_556,c_330,c_329,c_328,c_327,c_322,c_321,c_320,c_319,c_306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP226-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 14:11:33 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 5.53/1.64 % SZS status Started for theBenchmark.p
% 5.53/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 5.53/1.64
% 5.53/1.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.53/1.64
% 5.53/1.64 % ------ iProver source info
% 5.53/1.64
% 5.53/1.64 % git: date: 2026-07-19 20:42:38 +0200
% 5.53/1.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.53/1.64 % git: non_committed_changes: false
% 5.53/1.64
% 5.53/1.64 % ------ Parsing...% successful
% 5.53/1.64
% 5.53/1.64
% 5.53/1.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.53/1.64
% 5.53/1.64 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.53/1.64
% 5.53/1.64 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.53/1.64
% 5.53/1.64 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.53/1.64 % ------ Proving...
% 5.53/1.64 % ------ Problem Properties
% 5.53/1.64
% 5.53/1.64 %
% 5.53/1.64 % clauses 36
% 5.53/1.64 % conjectures 24
% 5.53/1.64 % EPR 21
% 5.53/1.64 % Horn 15
% 5.53/1.64 % unary 12
% 5.53/1.64 % binary 20
% 5.53/1.64 % lits 64
% 5.53/1.64 % lits eq 58
% 5.53/1.65 % fd_pure 0
% 5.53/1.65 % fd_pseudo 0
% 5.53/1.65 % fd_cond 0
% 5.53/1.65 % fd_pseudo_cond 0
% 5.53/1.65 % AC symbols 0
% 5.53/1.65
% 5.53/1.65 % ------ Schedule dynamic 5 is on
% 5.53/1.65
% 5.53/1.65 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.53/1.65
% 5.53/1.65
% 5.53/1.65 % ------
% 5.53/1.65 % Current options:
% 5.53/1.65 % ------
% 5.53/1.65
% 5.53/1.65
% 5.53/1.65 %
% 5.53/1.65
% 5.53/1.65 % ------ Proving...
% 5.53/1.65 %
% 5.53/1.65
% 5.53/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 5.53/1.65
% 5.53/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.53/1.65
% 5.53/1.65
%------------------------------------------------------------------------------