TSTP Solution File: REL004+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL004+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 02:56:30 EDT 2024
% Result : Theorem 41.81s 6.71s
% Output : CNFRefutation 41.81s
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0] : converse(complement(X0)) != complement(converse(X0))
=> converse(complement(sK0)) != complement(converse(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f20]) ).
cnf(c_51,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
cnf(c_53,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_58,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f29]) ).
cnf(c_59,plain,
join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f30]) ).
cnf(c_60,plain,
complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f33]) ).
cnf(c_61,negated_conjecture,
complement(converse(sK0)) != converse(complement(sK0)),
inference(cnf_transformation,[],[f32]) ).
cnf(c_74,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_75,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_104,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).
cnf(c_111,plain,
converse(sK0) = sP0_iProver_def,
definition ).
cnf(c_112,plain,
complement(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_113,plain,
complement(sK0) = sP2_iProver_def,
definition ).
cnf(c_114,plain,
converse(sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_115,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_61,c_113,c_114,c_111,c_112]) ).
cnf(c_189,plain,
converse(sP0_iProver_def) = sK0,
inference(superposition,[status(thm)],[c_111,c_55]) ).
cnf(c_190,plain,
converse(sP3_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_114,c_55]) ).
cnf(c_196,plain,
join(complement(join(sP2_iProver_def,X0)),complement(join(sP2_iProver_def,complement(X0)))) = sK0,
inference(superposition,[status(thm)],[c_113,c_74]) ).
cnf(c_197,plain,
join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_104,c_74]) ).
cnf(c_198,plain,
join(complement(join(sP1_iProver_def,X0)),complement(join(sP1_iProver_def,complement(X0)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_112,c_74]) ).
cnf(c_200,plain,
join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_104,c_74]) ).
cnf(c_205,plain,
join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_200,c_50,c_49]) ).
cnf(c_209,plain,
join(sK0,sP2_iProver_def) = top,
inference(superposition,[status(thm)],[c_113,c_59]) ).
cnf(c_210,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_104,c_59]) ).
cnf(c_211,plain,
join(sP0_iProver_def,sP1_iProver_def) = top,
inference(superposition,[status(thm)],[c_112,c_59]) ).
cnf(c_212,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
cnf(c_213,plain,
join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
cnf(c_214,plain,
join(sP2_iProver_def,sK0) = top,
inference(theory_normalisation,[status(thm)],[c_209,c_50,c_49]) ).
cnf(c_215,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_212,c_50,c_49]) ).
cnf(c_216,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_215,c_104]) ).
cnf(c_217,plain,
join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(light_normalisation,[status(thm)],[c_213,c_104]) ).
cnf(c_220,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_74]) ).
cnf(c_224,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_225,plain,
join(sP0_iProver_def,converse(X0)) = converse(join(sK0,X0)),
inference(superposition,[status(thm)],[c_111,c_56]) ).
cnf(c_227,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_237,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_238,plain,
composition(converse(X0),sP0_iProver_def) = converse(composition(sK0,X0)),
inference(superposition,[status(thm)],[c_111,c_57]) ).
cnf(c_241,plain,
join(sK0,converse(X0)) = converse(join(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_189,c_56]) ).
cnf(c_243,plain,
composition(converse(X0),sK0) = converse(composition(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_189,c_57]) ).
cnf(c_247,plain,
join(sP2_iProver_def,converse(X0)) = converse(join(sP3_iProver_def,X0)),
inference(superposition,[status(thm)],[c_190,c_56]) ).
cnf(c_255,plain,
join(sP0_iProver_def,converse(complement(sK0))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_225]) ).
cnf(c_261,plain,
join(sP0_iProver_def,sP3_iProver_def) = converse(top),
inference(light_normalisation,[status(thm)],[c_255,c_113,c_114]) ).
cnf(c_346,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_210,c_50]) ).
cnf(c_347,plain,
join(sP0_iProver_def,join(sP1_iProver_def,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_211,c_50]) ).
cnf(c_348,plain,
join(sP2_iProver_def,join(sK0,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_214,c_50]) ).
cnf(c_355,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_383,plain,
composition(converse(one),sP0_iProver_def) = converse(sK0),
inference(superposition,[status(thm)],[c_53,c_238]) ).
cnf(c_392,plain,
composition(converse(one),sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_383,c_111]) ).
cnf(c_400,plain,
join(complement(sP0_iProver_def),composition(converse(converse(one)),complement(sP0_iProver_def))) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_392,c_75]) ).
cnf(c_401,plain,
join(sP1_iProver_def,composition(converse(converse(one)),sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_400,c_112]) ).
cnf(c_449,plain,
join(sK0,converse(sP1_iProver_def)) = converse(top),
inference(superposition,[status(thm)],[c_211,c_241]) ).
cnf(c_477,plain,
composition(converse(one),sK0) = converse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_53,c_243]) ).
cnf(c_487,plain,
composition(converse(one),sK0) = sK0,
inference(light_normalisation,[status(thm)],[c_477,c_189]) ).
cnf(c_497,plain,
join(complement(sK0),composition(converse(converse(one)),complement(sK0))) = complement(sK0),
inference(superposition,[status(thm)],[c_487,c_75]) ).
cnf(c_500,plain,
join(sP2_iProver_def,composition(converse(converse(one)),sP2_iProver_def)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_497,c_113]) ).
cnf(c_580,plain,
join(sP2_iProver_def,converse(complement(sP3_iProver_def))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_247]) ).
cnf(c_696,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_59,c_346]) ).
cnf(c_708,plain,
join(complement(join(zero,zero)),complement(top)) = top,
inference(superposition,[status(thm)],[c_59,c_197]) ).
cnf(c_716,plain,
join(complement(top),complement(join(zero,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_708,c_50,c_49]) ).
cnf(c_717,plain,
join(zero,complement(join(zero,zero))) = top,
inference(light_normalisation,[status(thm)],[c_716,c_104]) ).
cnf(c_731,plain,
join(top,complement(join(zero,zero))) = join(top,top),
inference(superposition,[status(thm)],[c_717,c_346]) ).
cnf(c_739,plain,
join(top,complement(sP1_iProver_def)) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_59,c_347]) ).
cnf(c_749,plain,
join(top,converse(sP1_iProver_def)) = join(sP2_iProver_def,converse(top)),
inference(superposition,[status(thm)],[c_449,c_348]) ).
cnf(c_776,plain,
join(sP1_iProver_def,composition(one,sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_401,c_55]) ).
cnf(c_778,plain,
join(top,composition(one,sP1_iProver_def)) = join(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_776,c_347]) ).
cnf(c_779,plain,
join(top,composition(one,sP1_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_778,c_211]) ).
cnf(c_785,plain,
join(sP2_iProver_def,composition(one,sP2_iProver_def)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_500,c_55]) ).
cnf(c_795,plain,
join(complement(join(sP1_iProver_def,sP1_iProver_def)),complement(top)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_59,c_198]) ).
cnf(c_802,plain,
join(complement(top),complement(join(sP1_iProver_def,sP1_iProver_def))) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_795,c_50,c_49]) ).
cnf(c_803,plain,
join(zero,complement(join(sP1_iProver_def,sP1_iProver_def))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_802,c_104]) ).
cnf(c_876,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_224]) ).
cnf(c_1232,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_237]) ).
cnf(c_1284,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1232,c_55]) ).
cnf(c_1333,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1284,c_355]) ).
cnf(c_1336,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1333,c_1284]) ).
cnf(c_1347,plain,
join(top,sP1_iProver_def) = top,
inference(demodulation,[status(thm)],[c_779,c_1336]) ).
cnf(c_1348,plain,
join(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_776,c_1336]) ).
cnf(c_1349,plain,
join(sP2_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_785,c_1336]) ).
cnf(c_1351,plain,
join(zero,complement(sP1_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_803,c_1348]) ).
cnf(c_1352,plain,
join(sP1_iProver_def,top) = top,
inference(theory_normalisation,[status(thm)],[c_1347,c_50,c_49]) ).
cnf(c_1387,plain,
join(sP1_iProver_def,join(sP1_iProver_def,X0)) = join(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_1348,c_50]) ).
cnf(c_1393,plain,
join(sP2_iProver_def,join(sP2_iProver_def,X0)) = join(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_1349,c_50]) ).
cnf(c_1401,plain,
join(top,top) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_1352,c_347]) ).
cnf(c_1403,plain,
join(top,complement(zero)) = join(sP0_iProver_def,top),
inference(demodulation,[status(thm)],[c_696,c_1401]) ).
cnf(c_1538,plain,
join(sP1_iProver_def,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_876,c_1387]) ).
cnf(c_1554,plain,
join(sP2_iProver_def,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_876,c_1393]) ).
cnf(c_1565,plain,
join(top,converse(sP1_iProver_def)) = converse(top),
inference(demodulation,[status(thm)],[c_749,c_1554]) ).
cnf(c_1591,plain,
join(converse(sP1_iProver_def),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_1538,c_227]) ).
cnf(c_1592,plain,
join(top,converse(sP1_iProver_def)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_1591,c_50,c_49]) ).
cnf(c_1593,plain,
converse(converse(top)) = converse(top),
inference(light_normalisation,[status(thm)],[c_1592,c_1565]) ).
cnf(c_1594,plain,
converse(top) = top,
inference(demodulation,[status(thm)],[c_1593,c_55]) ).
cnf(c_1597,plain,
join(sP2_iProver_def,converse(complement(sP3_iProver_def))) = top,
inference(demodulation,[status(thm)],[c_580,c_1594]) ).
cnf(c_1600,plain,
join(sP0_iProver_def,sP3_iProver_def) = top,
inference(demodulation,[status(thm)],[c_261,c_1594]) ).
cnf(c_1638,plain,
join(complement(top),complement(join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def)))))) = sK0,
inference(superposition,[status(thm)],[c_1597,c_196]) ).
cnf(c_1646,plain,
join(zero,complement(join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def)))))) = sK0,
inference(light_normalisation,[status(thm)],[c_1638,c_104]) ).
cnf(c_1661,plain,
join(complement(join(top,complement(zero))),complement(top)) = zero,
inference(superposition,[status(thm)],[c_59,c_205]) ).
cnf(c_1663,plain,
join(complement(join(top,complement(join(zero,zero)))),complement(top)) = join(zero,zero),
inference(superposition,[status(thm)],[c_717,c_205]) ).
cnf(c_1665,plain,
join(complement(join(top,complement(sP1_iProver_def))),complement(sP0_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1351,c_205]) ).
cnf(c_1674,plain,
join(complement(sP0_iProver_def),complement(join(top,complement(sP1_iProver_def)))) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1665,c_50,c_49]) ).
cnf(c_1675,plain,
join(sP1_iProver_def,complement(join(sP0_iProver_def,top))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1674,c_112,c_739]) ).
cnf(c_1678,plain,
join(complement(top),complement(join(top,complement(zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_1661,c_50,c_49]) ).
cnf(c_1679,plain,
join(zero,complement(join(sP0_iProver_def,top))) = zero,
inference(light_normalisation,[status(thm)],[c_1678,c_104,c_1403]) ).
cnf(c_1693,plain,
join(complement(top),complement(join(top,complement(join(zero,zero))))) = join(zero,zero),
inference(theory_normalisation,[status(thm)],[c_1663,c_50,c_49]) ).
cnf(c_1694,plain,
join(zero,complement(join(sP0_iProver_def,top))) = join(zero,zero),
inference(light_normalisation,[status(thm)],[c_1693,c_104,c_731,c_1401]) ).
cnf(c_1982,plain,
join(top,complement(join(sP0_iProver_def,top))) = join(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_1675,c_347]) ).
cnf(c_1985,plain,
join(top,complement(join(sP0_iProver_def,top))) = top,
inference(light_normalisation,[status(thm)],[c_1982,c_211]) ).
cnf(c_2009,plain,
join(complement(top),complement(join(zero,complement(join(sP0_iProver_def,top))))) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_1985,c_205]) ).
cnf(c_2011,plain,
join(sP0_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_2009,c_104,c_717,c_1694]) ).
cnf(c_2013,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm)],[c_1679,c_2011]) ).
cnf(c_2021,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_2013,c_104]) ).
cnf(c_2041,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_2021,c_50]) ).
cnf(c_2607,plain,
join(complement(join(complement(complement(X0)),X0)),complement(top)) = complement(X0),
inference(superposition,[status(thm)],[c_59,c_220]) ).
cnf(c_2635,plain,
join(complement(top),complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_2607,c_50,c_49]) ).
cnf(c_2636,plain,
join(zero,complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_2635,c_104]) ).
cnf(c_2679,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_217,c_2636]) ).
cnf(c_2683,plain,
complement(sP2_iProver_def) = sK0,
inference(superposition,[status(thm)],[c_113,c_2679]) ).
cnf(c_2685,plain,
complement(sP1_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_112,c_2679]) ).
cnf(c_2691,plain,
join(zero,complement(join(X0,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_2679,c_216]) ).
cnf(c_2697,plain,
join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_2679,c_74]) ).
cnf(c_3599,plain,
join(zero,complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_2691,c_2041]) ).
cnf(c_3603,plain,
complement(join(X0,X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_2691,c_3599]) ).
cnf(c_3606,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_2679,c_3599]) ).
cnf(c_3955,plain,
join(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_3603,c_2679]) ).
cnf(c_3958,plain,
join(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_3955,c_2679]) ).
cnf(c_3994,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3958,c_50]) ).
cnf(c_30494,plain,
complement(join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def))))) = sK0,
inference(demodulation,[status(thm)],[c_1646,c_3606]) ).
cnf(c_30535,plain,
join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def)))) = complement(sK0),
inference(superposition,[status(thm)],[c_30494,c_2679]) ).
cnf(c_30539,plain,
join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def)))) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_30535,c_113]) ).
cnf(c_142297,plain,
join(complement(top),complement(join(sP0_iProver_def,complement(sP3_iProver_def)))) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_1600,c_2697]) ).
cnf(c_143069,plain,
join(complement(join(X0,X1)),complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_2697,c_3994]) ).
cnf(c_143106,plain,
join(complement(X0),complement(join(X0,X1))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_143069,c_50,c_49]) ).
cnf(c_143116,plain,
join(zero,complement(join(sP0_iProver_def,complement(sP3_iProver_def)))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_142297,c_104,c_112]) ).
cnf(c_143955,plain,
complement(join(sP0_iProver_def,complement(sP3_iProver_def))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_143116,c_3606]) ).
cnf(c_144033,plain,
join(sP0_iProver_def,complement(sP3_iProver_def)) = complement(sP1_iProver_def),
inference(superposition,[status(thm)],[c_143955,c_2679]) ).
cnf(c_144045,plain,
join(sP0_iProver_def,complement(sP3_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_144033,c_2685]) ).
cnf(c_144127,plain,
join(sK0,converse(complement(sP3_iProver_def))) = converse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_144045,c_241]) ).
cnf(c_144156,plain,
join(sK0,converse(complement(sP3_iProver_def))) = sK0,
inference(light_normalisation,[status(thm)],[c_144127,c_189]) ).
cnf(c_144570,plain,
join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_2679,c_143106]) ).
cnf(c_148787,plain,
join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_144570]) ).
cnf(c_149398,plain,
join(converse(complement(sP3_iProver_def)),complement(sP2_iProver_def)) = converse(complement(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_30539,c_148787]) ).
cnf(c_149864,plain,
join(complement(sP2_iProver_def),converse(complement(sP3_iProver_def))) = converse(complement(sP3_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_149398,c_50,c_49]) ).
cnf(c_149865,plain,
converse(complement(sP3_iProver_def)) = sK0,
inference(light_normalisation,[status(thm)],[c_149864,c_2683,c_144156]) ).
cnf(c_152582,plain,
complement(sP3_iProver_def) = converse(sK0),
inference(superposition,[status(thm)],[c_149865,c_55]) ).
cnf(c_152649,plain,
complement(sP3_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_152582,c_111]) ).
cnf(c_152855,plain,
complement(sP0_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_152649,c_2679]) ).
cnf(c_152859,plain,
sP1_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_152855,c_112]) ).
cnf(c_152860,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_152859,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL004+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n032.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 20:02:53 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 41.81/6.71 % SZS status Started for theBenchmark.p
% 41.81/6.71 % SZS status Theorem for theBenchmark.p
% 41.81/6.71
% 41.81/6.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 41.81/6.71
% 41.81/6.71 ------ iProver source info
% 41.81/6.71
% 41.81/6.71 git: date: 2024-05-02 19:28:25 +0000
% 41.81/6.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 41.81/6.71 git: non_committed_changes: false
% 41.81/6.71
% 41.81/6.71 ------ Parsing...
% 41.81/6.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 41.81/6.71
% 41.81/6.71 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 41.81/6.71
% 41.81/6.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 41.81/6.71
% 41.81/6.71 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 41.81/6.71 ------ Proving...
% 41.81/6.71 ------ Problem Properties
% 41.81/6.71
% 41.81/6.71
% 41.81/6.71 clauses 17
% 41.81/6.71 conjectures 1
% 41.81/6.71 EPR 1
% 41.81/6.71 Horn 17
% 41.81/6.71 unary 17
% 41.81/6.71 binary 0
% 41.81/6.71 lits 17
% 41.81/6.71 lits eq 17
% 41.81/6.71 fd_pure 0
% 41.81/6.71 fd_pseudo 0
% 41.81/6.71 fd_cond 0
% 41.81/6.71 fd_pseudo_cond 0
% 41.81/6.71 AC symbols 1
% 41.81/6.71
% 41.81/6.71 ------ Schedule UEQ
% 41.81/6.71
% 41.81/6.71 ------ Option_UEQ Time Limit: 10.
% 41.81/6.71
% 41.81/6.71
% 41.81/6.71 ------
% 41.81/6.71 Current options:
% 41.81/6.71 ------
% 41.81/6.71
% 41.81/6.71
% 41.81/6.71
% 41.81/6.71
% 41.81/6.71 ------ Proving...
% 41.81/6.71
% 41.81/6.71
% 41.81/6.71 % SZS status Theorem for theBenchmark.p
% 41.81/6.71
% 41.81/6.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 41.81/6.71
% 41.81/6.72
%------------------------------------------------------------------------------