%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP668-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 01:35:09 PM UTC 2026
% Result : Unsatisfiable 170.72s 31.28s
% Output : CNFRefutation 170.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of formulae : 119 ( 119 unt; 8 def)
% Number of atoms : 304 ( 118 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 96 !; 0 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,negated_conjecture,
mult(mult(a,b),mult(mult(c,b),c)) != mult(mult(a,mult(mult(b,c),b)),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,plain,
! [X0: $i] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X1),X2) = mult(X0,mult(X1,mult(X1,X2))),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
mult(mult(a,mult(mult(b,c),b)),c) != mult(mult(a,b),mult(mult(c,b),c)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_93,plain,
mult(mult(a,mult(b,mult(c,b))),c) != mult(mult(a,b),mult(c,mult(b,c))),
inference(demodulation,[status(thm)],[c_66,c_65]) ).
tcf(c_99,definition,
iPr_def_10 = mult(c,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_100,definition,
iPr_def_11 = mult(b,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_101,definition,
iPr_def_12 = mult(a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_102,definition,
iPr_def_13 = mult(iPr_def_12,c),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_103,definition,
iPr_def_14 = mult(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_104,definition,
iPr_def_15 = mult(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_105,definition,
iPr_def_16 = mult(c,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_106,definition,
iPr_def_17 = mult(iPr_def_14,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_107,plain,
iPr_def_13 != iPr_def_17,
inference(demodulation,[status(thm)],[c_93,c_104,c_105,c_103,c_106,c_99,c_100,c_101,c_102]) ).
tcf(c_186,plain,
! [X0: $i] : ld(X0,X0) = unit,
inference(superposition,[status(thm)],[c_62,c_59]) ).
tcf(c_188,plain,
ld(a,iPr_def_14) = b,
inference(superposition,[status(thm)],[c_103,c_59]) ).
tcf(c_189,plain,
ld(c,iPr_def_10) = b,
inference(superposition,[status(thm)],[c_99,c_59]) ).
tcf(c_190,plain,
ld(b,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_100,c_59]) ).
tcf(c_191,plain,
ld(a,iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_101,c_59]) ).
tcf(c_192,plain,
ld(iPr_def_12,iPr_def_13) = c,
inference(superposition,[status(thm)],[c_102,c_59]) ).
tcf(c_194,plain,
ld(b,iPr_def_15) = c,
inference(superposition,[status(thm)],[c_104,c_59]) ).
tcf(c_196,plain,
ld(c,iPr_def_16) = iPr_def_15,
inference(superposition,[status(thm)],[c_105,c_59]) ).
tcf(c_208,plain,
mult(a,b) = iPr_def_14,
inference(superposition,[status(thm)],[c_188,c_58]) ).
tcf(c_210,plain,
mult(c,b) = iPr_def_10,
inference(superposition,[status(thm)],[c_189,c_58]) ).
tcf(c_212,plain,
mult(b,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_190,c_58]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_60,c_59]) ).
tcf(c_222,plain,
mult(a,iPr_def_11) = iPr_def_12,
inference(superposition,[status(thm)],[c_191,c_58]) ).
tcf(c_224,plain,
mult(iPr_def_12,c) = iPr_def_13,
inference(superposition,[status(thm)],[c_192,c_58]) ).
tcf(c_226,plain,
mult(b,c) = iPr_def_15,
inference(superposition,[status(thm)],[c_194,c_58]) ).
tcf(c_228,plain,
mult(c,iPr_def_15) = iPr_def_16,
inference(superposition,[status(thm)],[c_196,c_58]) ).
tcf(c_354,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,X1),mult(ld(X0,X1),X2))) = mult(mult(X1,ld(X0,X1)),X2),
inference(superposition,[status(thm)],[c_58,c_64]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,X1),mult(X1,mult(X1,X2))) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_60,c_64]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i] : mult(unit,mult(X0,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_63,c_64]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
inference(superposition,[status(thm)],[c_64,c_62]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_379,c_62]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_357,c_63]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X1)),X2) = mult(X0,mult(X1,mult(X1,X2))),
inference(demodulation,[status(thm)],[c_64,c_381]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i] : mult(X0,mult(ld(X0,X1),X0)) = mult(X1,X0),
inference(superposition,[status(thm)],[c_58,c_65]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),mult(X1,rd(X0,X1))) = mult(X0,rd(X0,X1)),
inference(superposition,[status(thm)],[c_60,c_65]) ).
tcf(c_468,plain,
mult(b,mult(c,b)) = mult(iPr_def_15,b),
inference(superposition,[status(thm)],[c_226,c_65]) ).
tcf(c_484,plain,
mult(iPr_def_15,b) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_468,c_210,c_212]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X1,X0)),ld(ld(X1,X0),X2)) = mult(X1,mult(ld(X1,X0),X2)),
inference(superposition,[status(thm)],[c_58,c_354]) ).
tcf(c_782,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),ld(X1,X2)) = mult(rd(X0,X1),mult(X1,X2)),
inference(superposition,[status(thm)],[c_58,c_355]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i,X2: $i] : ld(rd(X0,X1),mult(mult(X0,X1),X2)) = mult(X1,mult(X1,X2)),
inference(superposition,[status(thm)],[c_355,c_59]) ).
tcf(c_2530,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),mult(ld(X1,X0),X1)) = X1,
inference(superposition,[status(thm)],[c_459,c_61]) ).
tcf(c_6873,plain,
! [X0: $i] : rd(X0,mult(ld(X0,unit),X0)) = X0,
inference(superposition,[status(thm)],[c_63,c_2530]) ).
tcf(c_7319,plain,
! [X0: $i] : mult(ld(X0,unit),X0) = ld(X0,X0),
inference(superposition,[status(thm)],[c_6873,c_219]) ).
tcf(c_7321,plain,
! [X0: $i] : mult(ld(X0,unit),X0) = unit,
inference(demodulation,[status(thm)],[c_7319,c_186]) ).
tcf(c_7339,plain,
! [X0: $i] : ld(ld(X0,unit),unit) = X0,
inference(superposition,[status(thm)],[c_7321,c_59]) ).
tcf(c_8546,plain,
! [X0: $i,X1: $i] : mult(ld(X0,unit),mult(X0,X1)) = mult(mult(unit,X0),ld(X0,X1)),
inference(superposition,[status(thm)],[c_7339,c_609]) ).
tcf(c_8568,plain,
! [X0: $i,X1: $i] : mult(ld(X0,unit),mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_8546,c_58,c_63]) ).
tcf(c_9650,plain,
! [X0: $i,X1: $i] : mult(ld(X0,unit),X1) = ld(X0,X1),
inference(superposition,[status(thm)],[c_58,c_8568]) ).
tcf(c_9656,plain,
mult(ld(a,unit),iPr_def_14) = b,
inference(superposition,[status(thm)],[c_208,c_8568]) ).
tcf(c_9660,plain,
mult(ld(b,unit),iPr_def_15) = c,
inference(superposition,[status(thm)],[c_226,c_8568]) ).
tcf(c_9662,plain,
mult(ld(b,unit),iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_212,c_8568]) ).
tcf(c_9664,plain,
mult(ld(a,unit),iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_222,c_8568]) ).
tcf(c_9666,plain,
mult(ld(iPr_def_12,unit),iPr_def_13) = c,
inference(superposition,[status(thm)],[c_224,c_8568]) ).
tcf(c_9739,plain,
! [X0: $i,X1: $i] : rd(X0,mult(X1,X0)) = ld(X1,unit),
inference(superposition,[status(thm)],[c_8568,c_61]) ).
tcf(c_9740,plain,
! [X0: $i,X1: $i] : ld(ld(X0,unit),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_8568,c_59]) ).
tcf(c_10182,plain,
mult(ld(b,unit),mult(iPr_def_15,iPr_def_15)) = mult(c,iPr_def_15),
inference(superposition,[status(thm)],[c_9660,c_381]) ).
tcf(c_10190,plain,
mult(ld(b,unit),mult(iPr_def_15,iPr_def_15)) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_10182,c_228]) ).
tcf(c_10201,plain,
ld(b,unit) = rd(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_9662,c_61]) ).
tcf(c_10304,plain,
ld(a,unit) = rd(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_9664,c_61]) ).
tcf(c_14668,plain,
rd(iPr_def_16,mult(iPr_def_15,iPr_def_15)) = ld(b,unit),
inference(superposition,[status(thm)],[c_10190,c_61]) ).
tcf(c_17299,plain,
! [X0: $i] : mult(mult(iPr_def_16,mult(iPr_def_15,iPr_def_15)),ld(mult(iPr_def_15,iPr_def_15),X0)) = mult(ld(b,unit),mult(mult(iPr_def_15,iPr_def_15),X0)),
inference(superposition,[status(thm)],[c_14668,c_782]) ).
tcf(c_17306,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),ld(X1,unit)) = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c_62,c_782]) ).
tcf(c_17449,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),ld(X1,unit)) = X0,
inference(demodulation,[status(thm)],[c_17306,c_60]) ).
tcf(c_17521,plain,
! [X0: $i] : mult(iPr_def_16,mult(iPr_def_15,mult(iPr_def_15,ld(mult(iPr_def_15,iPr_def_15),X0)))) = ld(b,mult(iPr_def_15,mult(iPr_def_15,X0))),
inference(demodulation,[status(thm)],[c_17299,c_382,c_386,c_9650]) ).
tcf(c_21696,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X1,unit)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_60,c_17449]) ).
tcf(c_21701,plain,
mult(iPr_def_14,ld(b,unit)) = a,
inference(superposition,[status(thm)],[c_208,c_17449]) ).
tcf(c_21703,plain,
mult(iPr_def_10,ld(b,unit)) = c,
inference(superposition,[status(thm)],[c_210,c_17449]) ).
tcf(c_21729,plain,
mult(iPr_def_11,ld(b,unit)) = iPr_def_15,
inference(superposition,[status(thm)],[c_484,c_17449]) ).
tcf(c_21796,plain,
mult(b,ld(iPr_def_14,unit)) = ld(a,unit),
inference(superposition,[status(thm)],[c_9656,c_17449]) ).
tcf(c_21801,plain,
mult(c,ld(iPr_def_13,unit)) = ld(iPr_def_12,unit),
inference(superposition,[status(thm)],[c_9666,c_17449]) ).
tcf(c_22121,plain,
ld(b,unit) = ld(iPr_def_14,a),
inference(superposition,[status(thm)],[c_21701,c_59]) ).
tcf(c_22141,plain,
rd(iPr_def_16,mult(iPr_def_15,iPr_def_15)) = ld(iPr_def_14,a),
inference(demodulation,[status(thm)],[c_14668,c_22121]) ).
tcf(c_22147,plain,
ld(iPr_def_14,a) = rd(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_10201,c_22121]) ).
tcf(c_22224,plain,
mult(iPr_def_10,ld(iPr_def_14,a)) = c,
inference(light_normalisation,[status(thm)],[c_21703,c_22121]) ).
tcf(c_22233,plain,
ld(iPr_def_10,c) = ld(iPr_def_14,a),
inference(superposition,[status(thm)],[c_22224,c_59]) ).
tcf(c_22942,plain,
mult(iPr_def_11,ld(iPr_def_10,c)) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_21729,c_22121,c_22233]) ).
tcf(c_22955,plain,
rd(ld(iPr_def_10,c),iPr_def_15) = ld(iPr_def_11,unit),
inference(superposition,[status(thm)],[c_22942,c_9739]) ).
tcf(c_23537,plain,
ld(iPr_def_10,c) = rd(iPr_def_10,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_22147,c_22233]) ).
tcf(c_23541,plain,
mult(ld(iPr_def_10,c),mult(iPr_def_11,ld(iPr_def_10,c))) = mult(iPr_def_10,ld(iPr_def_10,c)),
inference(superposition,[status(thm)],[c_23537,c_460]) ).
tcf(c_23549,plain,
mult(ld(iPr_def_10,c),mult(iPr_def_11,ld(iPr_def_10,c))) = c,
inference(demodulation,[status(thm)],[c_23541,c_58]) ).
tcf(c_23550,plain,
mult(ld(iPr_def_10,c),iPr_def_15) = c,
inference(light_normalisation,[status(thm)],[c_23549,c_22942]) ).
tcf(c_25013,plain,
ld(ld(iPr_def_10,c),c) = iPr_def_15,
inference(superposition,[status(thm)],[c_23550,c_59]) ).
tcf(c_26848,plain,
! [X0: $i] : mult(ld(iPr_def_10,c),mult(iPr_def_15,mult(iPr_def_15,X0))) = mult(mult(c,iPr_def_15),X0),
inference(superposition,[status(thm)],[c_25013,c_354]) ).
tcf(c_26863,plain,
! [X0: $i] : mult(ld(iPr_def_10,c),mult(iPr_def_15,mult(iPr_def_15,X0))) = mult(iPr_def_16,X0),
inference(light_normalisation,[status(thm)],[c_26848,c_228]) ).
tcf(c_28689,plain,
ld(b,ld(a,unit)) = ld(iPr_def_14,unit),
inference(superposition,[status(thm)],[c_21796,c_59]) ).
tcf(c_43832,plain,
rd(iPr_def_16,mult(iPr_def_15,iPr_def_15)) = ld(iPr_def_10,c),
inference(light_normalisation,[status(thm)],[c_22141,c_22233]) ).
tcf(c_43835,plain,
! [X0: $i] : mult(mult(iPr_def_16,mult(iPr_def_15,iPr_def_15)),ld(mult(iPr_def_15,iPr_def_15),X0)) = mult(ld(iPr_def_10,c),mult(mult(iPr_def_15,iPr_def_15),X0)),
inference(superposition,[status(thm)],[c_43832,c_782]) ).
tcf(c_43845,plain,
! [X0: $i] : mult(iPr_def_16,mult(iPr_def_15,mult(iPr_def_15,ld(mult(iPr_def_15,iPr_def_15),X0)))) = mult(ld(iPr_def_10,c),mult(iPr_def_15,mult(iPr_def_15,X0))),
inference(demodulation,[status(thm)],[c_43835,c_382,c_386]) ).
tcf(c_43846,plain,
! [X0: $i] : ld(b,mult(iPr_def_15,mult(iPr_def_15,X0))) = mult(iPr_def_16,X0),
inference(light_normalisation,[status(thm)],[c_43845,c_17521,c_26863]) ).
tcf(c_48899,plain,
! [X0: $i] : ld(ld(iPr_def_11,unit),mult(mult(ld(iPr_def_10,c),iPr_def_15),X0)) = mult(iPr_def_15,mult(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_22955,c_817]) ).
tcf(c_49171,plain,
! [X0: $i] : mult(iPr_def_11,mult(mult(ld(iPr_def_10,c),iPr_def_15),X0)) = mult(iPr_def_15,mult(iPr_def_15,X0)),
inference(demodulation,[status(thm)],[c_48899,c_9740]) ).
tcf(c_49172,plain,
! [X0: $i] : mult(iPr_def_11,mult(c,X0)) = mult(iPr_def_15,mult(iPr_def_15,X0)),
inference(light_normalisation,[status(thm)],[c_49171,c_23550]) ).
tcf(c_306724,plain,
! [X0: $i] : ld(b,mult(iPr_def_11,mult(c,X0))) = mult(iPr_def_16,X0),
inference(light_normalisation,[status(thm)],[c_43846,c_49172]) ).
tcf(c_306754,plain,
ld(b,mult(iPr_def_11,ld(iPr_def_12,unit))) = mult(iPr_def_16,ld(iPr_def_13,unit)),
inference(superposition,[status(thm)],[c_21801,c_306724]) ).
tcf(c_306810,plain,
ld(b,rd(iPr_def_11,iPr_def_12)) = rd(iPr_def_16,iPr_def_13),
inference(demodulation,[status(thm)],[c_306754,c_21696]) ).
tcf(c_306811,plain,
ld(iPr_def_14,unit) = rd(iPr_def_16,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_306810,c_10304,c_28689]) ).
tcf(c_306920,plain,
mult(ld(iPr_def_14,unit),iPr_def_13) = iPr_def_16,
inference(superposition,[status(thm)],[c_306811,c_60]) ).
tcf(c_306927,plain,
ld(iPr_def_14,iPr_def_13) = iPr_def_16,
inference(demodulation,[status(thm)],[c_306920,c_9650]) ).
tcf(c_307181,plain,
mult(iPr_def_14,iPr_def_16) = iPr_def_13,
inference(superposition,[status(thm)],[c_306927,c_58]) ).
tcf(c_307203,plain,
iPr_def_13 = iPr_def_17,
inference(demodulation,[status(thm)],[c_106,c_307181]) ).
tcf(c_307204,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_307203,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP668-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.36 % Computer : n006.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Wed Sep 23 15:37:48 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.40 Running UEQ theorem proving
% 0.13/5.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 170.72/31.28 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 170.72/31.28 % SZS status Started for theBenchmark.p
% 170.72/31.28 % SZS status Unsatisfiable for theBenchmark.p
% 170.72/31.28
% 170.72/31.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 170.72/31.28
% 170.72/31.28 % ------ iProver source info
% 170.72/31.28
% 170.72/31.28 % git: date: 2026-07-19 20:42:38 +0200
% 170.72/31.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 170.72/31.28 % git: non_committed_changes: false
% 170.72/31.28
% 170.72/31.28 % ------ Parsing...% successful
% 170.72/31.28
% 170.72/31.28
% 170.72/31.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 170.72/31.28
% 170.72/31.28 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 170.72/31.28
% 170.72/31.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 170.72/31.28
% 170.72/31.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 170.72/31.28 % ------ Proving...
% 170.72/31.28 % ------ Problem Properties
% 170.72/31.28
% 170.72/31.28 %
% 170.72/31.28 % clauses 17
% 170.72/31.28 % conjectures 0
% 170.72/31.28 % EPR 1
% 170.72/31.28 % Horn 17
% 170.72/31.28 % unary 17
% 170.72/31.28 % binary 0
% 170.72/31.28 % lits 17
% 170.72/31.28 % lits eq 17
% 170.72/31.28 % fd_pure 0
% 170.72/31.28 % fd_pseudo 0
% 170.72/31.28 % fd_cond 0
% 170.72/31.28 % fd_pseudo_cond 0
% 170.72/31.28 % AC symbols 0
% 170.72/31.28
% 170.72/31.28 % ------ Input Options Time Limit: Unbounded
% 170.72/31.28
% 170.72/31.28
% 170.72/31.28 % ------
% 170.72/31.28 % Current options:
% 170.72/31.28 % ------
% 170.72/31.28
% 170.72/31.28
% 170.72/31.28 %
% 170.72/31.28
% 170.72/31.28 % ------ Proving...
% 170.72/31.28 %
% 170.72/31.28
% 170.72/31.28 % SZS status Unsatisfiable for theBenchmark.p
% 170.72/31.28
% 170.72/31.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 170.72/31.28
% 170.72/31.28
%------------------------------------------------------------------------------