TSTP Solution File: REL050+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL050+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:56:53 EDT 2024
% Result : Theorem 3.74s 1.16s
% Output : CNFRefutation 4.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(negated_conjecture,[],[f17]) ).
fof(f19,plain,
? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( ? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top)
=> complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
fof(f22,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f34,f25]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f22]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
cnf(c_51,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_52,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f26]) ).
cnf(c_53,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[],[f27]) ).
cnf(c_54,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f28]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f29]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f30]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f31]) ).
cnf(c_58,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f32]) ).
cnf(c_59,plain,
join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f33]) ).
cnf(c_60,plain,
complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f39]) ).
cnf(c_64,negated_conjecture,
composition(complement(composition(sK0,top)),top) != complement(composition(sK0,top)),
inference(cnf_transformation,[],[f38]) ).
cnf(c_80,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).
cnf(c_81,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).
cnf(c_120,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).
cnf(c_127,plain,
composition(sK0,top) = sP0_iProver_def,
definition ).
cnf(c_128,plain,
complement(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_129,plain,
composition(sP1_iProver_def,top) = sP2_iProver_def,
definition ).
cnf(c_130,negated_conjecture,
sP2_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_64,c_127,c_128,c_129]) ).
cnf(c_214,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_80]) ).
cnf(c_222,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_214,c_50,c_49]) ).
cnf(c_223,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_222,c_120]) ).
cnf(c_231,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_80]) ).
cnf(c_235,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_236,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_237,plain,
join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_239,plain,
converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_240,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_243,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_281,plain,
join(zero,complement(join(sP1_iProver_def,sP1_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_128,c_223]) ).
cnf(c_293,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_235]) ).
cnf(c_304,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_120,c_81]) ).
cnf(c_305,plain,
join(sP1_iProver_def,composition(converse(X0),complement(composition(X0,sP0_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_128,c_81]) ).
cnf(c_310,plain,
join(complement(top),composition(converse(sK0),complement(sP0_iProver_def))) = complement(top),
inference(superposition,[status(thm)],[c_127,c_81]) ).
cnf(c_315,plain,
join(zero,composition(converse(sK0),sP1_iProver_def)) = zero,
inference(light_normalisation,[status(thm)],[c_310,c_120,c_128]) ).
cnf(c_317,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_328,plain,
join(sP0_iProver_def,composition(X0,top)) = composition(join(sK0,X0),top),
inference(superposition,[status(thm)],[c_127,c_54]) ).
cnf(c_329,plain,
join(sP2_iProver_def,composition(X0,top)) = composition(join(sP1_iProver_def,X0),top),
inference(superposition,[status(thm)],[c_129,c_54]) ).
cnf(c_609,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_240]) ).
cnf(c_633,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_609,c_55]) ).
cnf(c_662,plain,
join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_633,c_81]) ).
cnf(c_665,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_633,c_317]) ).
cnf(c_668,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_665,c_633]) ).
cnf(c_838,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_243]) ).
cnf(c_1263,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_662,c_668]) ).
cnf(c_1264,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_223,c_1263]) ).
cnf(c_1268,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_120,c_1263]) ).
cnf(c_1269,plain,
join(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_128,c_1263]) ).
cnf(c_1275,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_1263,c_243]) ).
cnf(c_1284,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_1275,c_59]) ).
cnf(c_1300,plain,
join(zero,complement(sP1_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_281,c_1269]) ).
cnf(c_1301,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_838,c_1284]) ).
cnf(c_1325,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_1268,c_50]) ).
cnf(c_1355,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_1301,c_49]) ).
cnf(c_1379,plain,
join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_243,c_1355]) ).
cnf(c_1390,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_1355,c_293]) ).
cnf(c_1402,plain,
composition(top,converse(X0)) = converse(composition(X0,top)),
inference(superposition,[status(thm)],[c_1390,c_239]) ).
cnf(c_1407,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_1390,c_57]) ).
cnf(c_1483,plain,
join(X0,join(X1,complement(X0))) = top,
inference(superposition,[status(thm)],[c_49,c_1379]) ).
cnf(c_1540,plain,
join(X0,join(X1,join(X2,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_50,c_1483]) ).
cnf(c_1600,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_1264,c_1325]) ).
cnf(c_1609,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_1264,c_1600]) ).
cnf(c_1610,plain,
complement(sP1_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_1300,c_1600]) ).
cnf(c_1612,plain,
composition(converse(sK0),sP1_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_315,c_1600]) ).
cnf(c_1678,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_1600,c_49]) ).
cnf(c_1680,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_1600,c_59]) ).
cnf(c_1683,plain,
join(converse(zero),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1600,c_236]) ).
cnf(c_1692,plain,
join(converse(zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1683,c_55]) ).
cnf(c_1751,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_1609,c_1263]) ).
cnf(c_1793,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_1751,c_50]) ).
cnf(c_1838,plain,
composition(converse(sP1_iProver_def),sK0) = converse(zero),
inference(superposition,[status(thm)],[c_1612,c_240]) ).
cnf(c_1879,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_1692,c_1678]) ).
cnf(c_1967,plain,
composition(converse(sP1_iProver_def),sK0) = zero,
inference(light_normalisation,[status(thm)],[c_1838,c_1879]) ).
cnf(c_1972,plain,
composition(converse(sP1_iProver_def),composition(sK0,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_1967,c_52]) ).
cnf(c_2166,plain,
composition(top,converse(sP1_iProver_def)) = converse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_129,c_1402]) ).
cnf(c_2288,plain,
join(composition(X0,converse(sP1_iProver_def)),converse(sP2_iProver_def)) = composition(join(X0,top),converse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_2166,c_54]) ).
cnf(c_2293,plain,
composition(converse(converse(sP1_iProver_def)),top) = converse(converse(sP2_iProver_def)),
inference(superposition,[status(thm)],[c_2166,c_1407]) ).
cnf(c_2298,plain,
join(converse(sP2_iProver_def),composition(X0,converse(sP1_iProver_def))) = composition(join(X0,top),converse(sP1_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_2288,c_50,c_49]) ).
cnf(c_2299,plain,
join(converse(sP2_iProver_def),composition(X0,converse(sP1_iProver_def))) = converse(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_2298,c_1301,c_2166]) ).
cnf(c_2618,plain,
join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[status(thm)],[c_231,c_1793]) ).
cnf(c_2627,plain,
join(X0,complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_2618,c_50,c_49]) ).
cnf(c_2783,plain,
join(sP1_iProver_def,complement(join(sP0_iProver_def,X0))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1610,c_2627]) ).
cnf(c_3538,plain,
composition(converse(sP1_iProver_def),sP0_iProver_def) = composition(zero,top),
inference(superposition,[status(thm)],[c_127,c_1972]) ).
cnf(c_4130,plain,
join(converse(sP2_iProver_def),converse(sP1_iProver_def)) = converse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_668,c_2299]) ).
cnf(c_4138,plain,
join(converse(sP1_iProver_def),converse(sP2_iProver_def)) = converse(sP2_iProver_def),
inference(theory_normalisation,[status(thm)],[c_4130,c_50,c_49]) ).
cnf(c_4146,plain,
converse(join(sP2_iProver_def,sP1_iProver_def)) = converse(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_4138,c_237]) ).
cnf(c_4147,plain,
converse(join(sP1_iProver_def,sP2_iProver_def)) = converse(sP2_iProver_def),
inference(theory_normalisation,[status(thm)],[c_4146,c_50,c_49]) ).
cnf(c_4158,plain,
join(sP1_iProver_def,sP2_iProver_def) = converse(converse(sP2_iProver_def)),
inference(superposition,[status(thm)],[c_4147,c_55]) ).
cnf(c_4175,plain,
join(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_4158,c_55]) ).
cnf(c_4178,plain,
join(sP1_iProver_def,join(sP2_iProver_def,X0)) = join(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_4175,c_50]) ).
cnf(c_7402,plain,
composition(converse(X0),complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[c_304,c_1600]) ).
cnf(c_7403,plain,
composition(X0,complement(composition(converse(X0),top))) = zero,
inference(superposition,[status(thm)],[c_55,c_7402]) ).
cnf(c_7433,plain,
composition(converse(complement(composition(X0,top))),X0) = converse(zero),
inference(superposition,[status(thm)],[c_7402,c_240]) ).
cnf(c_7438,plain,
composition(converse(complement(composition(X0,top))),X0) = zero,
inference(light_normalisation,[status(thm)],[c_7433,c_1879]) ).
cnf(c_7644,plain,
composition(complement(composition(top,top)),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_7438,c_7403]) ).
cnf(c_7654,plain,
composition(complement(composition(top,top)),top) = zero,
inference(light_normalisation,[status(thm)],[c_7644,c_1680]) ).
cnf(c_7888,plain,
join(sP0_iProver_def,composition(complement(sK0),top)) = composition(top,top),
inference(superposition,[status(thm)],[c_59,c_328]) ).
cnf(c_7940,plain,
join(sP1_iProver_def,complement(composition(top,top))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_7888,c_2783]) ).
cnf(c_7979,plain,
join(composition(top,top),join(X0,sP1_iProver_def)) = top,
inference(superposition,[status(thm)],[c_7940,c_1540]) ).
cnf(c_7983,plain,
join(sP1_iProver_def,join(X0,composition(top,top))) = top,
inference(theory_normalisation,[status(thm)],[c_7979,c_50,c_49]) ).
cnf(c_8083,plain,
join(sP2_iProver_def,composition(top,top)) = top,
inference(superposition,[status(thm)],[c_7983,c_4178]) ).
cnf(c_8312,plain,
join(sP2_iProver_def,composition(top,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_1301,c_329]) ).
cnf(c_8343,plain,
composition(top,top) = top,
inference(light_normalisation,[status(thm)],[c_8312,c_8083]) ).
cnf(c_8376,plain,
composition(complement(top),top) = zero,
inference(demodulation,[status(thm)],[c_7654,c_8343]) ).
cnf(c_8383,plain,
composition(zero,top) = zero,
inference(light_normalisation,[status(thm)],[c_8376,c_120]) ).
cnf(c_8387,plain,
composition(converse(sP1_iProver_def),sP0_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_3538,c_8383]) ).
cnf(c_8683,plain,
join(sP1_iProver_def,composition(converse(converse(sP1_iProver_def)),complement(zero))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_8387,c_305]) ).
cnf(c_8685,plain,
sP1_iProver_def = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_8683,c_1680,c_2293,c_4158,c_4175]) ).
cnf(c_8740,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_130,c_8685]) ).
cnf(c_8741,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_8740]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL050+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 19:45:20 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.74/1.16 % SZS status Started for theBenchmark.p
% 3.74/1.16 % SZS status Theorem for theBenchmark.p
% 3.74/1.16
% 3.74/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.74/1.16
% 3.74/1.16 ------ iProver source info
% 3.74/1.16
% 3.74/1.16 git: date: 2024-05-02 19:28:25 +0000
% 3.74/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.74/1.16 git: non_committed_changes: false
% 3.74/1.16
% 3.74/1.16 ------ Parsing...
% 3.74/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.74/1.16
% 3.74/1.16 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.74/1.16
% 3.74/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.74/1.16
% 3.74/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.74/1.16 ------ Proving...
% 3.74/1.16 ------ Problem Properties
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 clauses 19
% 3.74/1.16 conjectures 1
% 3.74/1.16 EPR 1
% 3.74/1.16 Horn 19
% 3.74/1.16 unary 19
% 3.74/1.16 binary 0
% 3.74/1.16 lits 19
% 3.74/1.16 lits eq 19
% 3.74/1.16 fd_pure 0
% 3.74/1.16 fd_pseudo 0
% 3.74/1.16 fd_cond 0
% 3.74/1.16 fd_pseudo_cond 0
% 3.74/1.16 AC symbols 1
% 3.74/1.16
% 3.74/1.16 ------ Schedule UEQ
% 3.74/1.16
% 3.74/1.16 ------ Option_UEQ Time Limit: 10.
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 ------
% 3.74/1.16 Current options:
% 3.74/1.16 ------
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 ------ Proving...
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 % SZS status Theorem for theBenchmark.p
% 3.74/1.16
% 3.74/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.38/1.16
% 4.38/1.17
%------------------------------------------------------------------------------