TSTP Solution File: REL004+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL004+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 02:56:31 EDT 2024
% Result : Theorem 57.33s 8.75s
% Output : CNFRefutation 57.33s
% 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(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] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[],[f17]) ).
fof(f19,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( ? [X0] : converse(complement(X0)) != complement(converse(X0))
=> converse(complement(sK0)) != complement(converse(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
converse(complement(sK0)) != complement(converse(sK0)),
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(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,
converse(complement(sK0)) != complement(converse(sK0)),
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_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,
complement(converse(sK0)) != converse(complement(sK0)),
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,
converse(sK0) = sP0_iProver_def,
definition ).
cnf(c_128,plain,
complement(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_129,plain,
complement(sK0) = sP2_iProver_def,
definition ).
cnf(c_130,plain,
converse(sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_131,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_64,c_129,c_130,c_127,c_128]) ).
cnf(c_211,plain,
converse(sP0_iProver_def) = sK0,
inference(superposition,[status(thm)],[c_127,c_55]) ).
cnf(c_212,plain,
converse(sP3_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_130,c_55]) ).
cnf(c_218,plain,
join(complement(join(sP2_iProver_def,X0)),complement(join(sP2_iProver_def,complement(X0)))) = sK0,
inference(superposition,[status(thm)],[c_129,c_80]) ).
cnf(c_219,plain,
join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_120,c_80]) ).
cnf(c_222,plain,
join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_120,c_80]) ).
cnf(c_227,plain,
join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_222,c_50,c_49]) ).
cnf(c_231,plain,
join(sK0,sP2_iProver_def) = top,
inference(superposition,[status(thm)],[c_129,c_59]) ).
cnf(c_232,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_120,c_59]) ).
cnf(c_233,plain,
join(sP0_iProver_def,sP1_iProver_def) = top,
inference(superposition,[status(thm)],[c_128,c_59]) ).
cnf(c_234,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_80]) ).
cnf(c_235,plain,
join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_59,c_80]) ).
cnf(c_236,plain,
join(sP2_iProver_def,sK0) = top,
inference(theory_normalisation,[status(thm)],[c_231,c_50,c_49]) ).
cnf(c_237,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_234,c_50,c_49]) ).
cnf(c_238,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_237,c_120]) ).
cnf(c_239,plain,
join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(light_normalisation,[status(thm)],[c_235,c_120]) ).
cnf(c_242,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_80]) ).
cnf(c_246,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_247,plain,
join(sP0_iProver_def,converse(X0)) = converse(join(sK0,X0)),
inference(superposition,[status(thm)],[c_127,c_56]) ).
cnf(c_249,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_259,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_260,plain,
composition(converse(X0),sP0_iProver_def) = converse(composition(sK0,X0)),
inference(superposition,[status(thm)],[c_127,c_57]) ).
cnf(c_263,plain,
join(sK0,converse(X0)) = converse(join(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_211,c_56]) ).
cnf(c_265,plain,
composition(converse(X0),sK0) = converse(composition(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_211,c_57]) ).
cnf(c_269,plain,
join(sP2_iProver_def,converse(X0)) = converse(join(sP3_iProver_def,X0)),
inference(superposition,[status(thm)],[c_212,c_56]) ).
cnf(c_277,plain,
join(sP0_iProver_def,converse(complement(sK0))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_247]) ).
cnf(c_283,plain,
join(sP0_iProver_def,sP3_iProver_def) = converse(top),
inference(light_normalisation,[status(thm)],[c_277,c_129,c_130]) ).
cnf(c_368,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_232,c_50]) ).
cnf(c_369,plain,
join(sP0_iProver_def,join(sP1_iProver_def,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_233,c_50]) ).
cnf(c_370,plain,
join(sP2_iProver_def,join(sK0,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_236,c_50]) ).
cnf(c_377,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_448,plain,
composition(converse(one),sP0_iProver_def) = converse(sK0),
inference(superposition,[status(thm)],[c_53,c_260]) ).
cnf(c_458,plain,
composition(converse(one),sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_448,c_127]) ).
cnf(c_467,plain,
join(complement(sP0_iProver_def),composition(converse(converse(one)),complement(sP0_iProver_def))) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_458,c_81]) ).
cnf(c_469,plain,
join(sP1_iProver_def,composition(converse(converse(one)),sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_467,c_128]) ).
cnf(c_526,plain,
join(sK0,converse(sP1_iProver_def)) = converse(top),
inference(superposition,[status(thm)],[c_233,c_263]) ).
cnf(c_555,plain,
composition(converse(one),sK0) = converse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_53,c_265]) ).
cnf(c_566,plain,
composition(converse(one),sK0) = sK0,
inference(light_normalisation,[status(thm)],[c_555,c_211]) ).
cnf(c_579,plain,
join(complement(sK0),composition(converse(converse(one)),complement(sK0))) = complement(sK0),
inference(superposition,[status(thm)],[c_566,c_81]) ).
cnf(c_583,plain,
join(sP2_iProver_def,composition(converse(converse(one)),sP2_iProver_def)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_579,c_129]) ).
cnf(c_817,plain,
join(sP2_iProver_def,converse(complement(sP3_iProver_def))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_269]) ).
cnf(c_954,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_59,c_368]) ).
cnf(c_989,plain,
join(top,complement(sP1_iProver_def)) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_59,c_369]) ).
cnf(c_999,plain,
join(top,converse(sP1_iProver_def)) = join(sP2_iProver_def,converse(top)),
inference(superposition,[status(thm)],[c_526,c_370]) ).
cnf(c_1037,plain,
join(sP1_iProver_def,composition(one,sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_469,c_55]) ).
cnf(c_1039,plain,
join(top,composition(one,sP1_iProver_def)) = join(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_1037,c_369]) ).
cnf(c_1040,plain,
join(top,composition(one,sP1_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_1039,c_233]) ).
cnf(c_1051,plain,
join(complement(join(zero,zero)),complement(top)) = top,
inference(superposition,[status(thm)],[c_59,c_219]) ).
cnf(c_1059,plain,
join(complement(top),complement(join(zero,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_1051,c_50,c_49]) ).
cnf(c_1060,plain,
join(zero,complement(join(zero,zero))) = top,
inference(light_normalisation,[status(thm)],[c_1059,c_120]) ).
cnf(c_1074,plain,
join(top,complement(join(zero,zero))) = join(top,top),
inference(superposition,[status(thm)],[c_1060,c_368]) ).
cnf(c_1081,plain,
join(sP2_iProver_def,composition(one,sP2_iProver_def)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_583,c_55]) ).
cnf(c_1131,plain,
join(zero,complement(join(sP1_iProver_def,sP1_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_128,c_238]) ).
cnf(c_1169,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_246]) ).
cnf(c_1486,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_259]) ).
cnf(c_1542,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1486,c_55]) ).
cnf(c_1581,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1542,c_377]) ).
cnf(c_1584,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1581,c_1542]) ).
cnf(c_1598,plain,
join(top,sP1_iProver_def) = top,
inference(demodulation,[status(thm)],[c_1040,c_1584]) ).
cnf(c_1599,plain,
join(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_1037,c_1584]) ).
cnf(c_1600,plain,
join(sP2_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_1081,c_1584]) ).
cnf(c_1602,plain,
join(zero,complement(sP1_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_1131,c_1599]) ).
cnf(c_1603,plain,
join(sP1_iProver_def,top) = top,
inference(theory_normalisation,[status(thm)],[c_1598,c_50,c_49]) ).
cnf(c_1673,plain,
join(sP1_iProver_def,join(sP1_iProver_def,X0)) = join(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_1599,c_50]) ).
cnf(c_1679,plain,
join(sP2_iProver_def,join(sP2_iProver_def,X0)) = join(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_1600,c_50]) ).
cnf(c_1687,plain,
join(top,top) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_1603,c_369]) ).
cnf(c_1689,plain,
join(top,complement(zero)) = join(sP0_iProver_def,top),
inference(demodulation,[status(thm)],[c_954,c_1687]) ).
cnf(c_1883,plain,
join(sP1_iProver_def,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_1169,c_1673]) ).
cnf(c_1899,plain,
join(sP2_iProver_def,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_1169,c_1679]) ).
cnf(c_1910,plain,
join(top,converse(sP1_iProver_def)) = converse(top),
inference(demodulation,[status(thm)],[c_999,c_1899]) ).
cnf(c_1938,plain,
join(converse(sP1_iProver_def),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_1883,c_249]) ).
cnf(c_1939,plain,
join(top,converse(sP1_iProver_def)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_1938,c_50,c_49]) ).
cnf(c_1940,plain,
converse(converse(top)) = converse(top),
inference(light_normalisation,[status(thm)],[c_1939,c_1910]) ).
cnf(c_1941,plain,
converse(top) = top,
inference(demodulation,[status(thm)],[c_1940,c_55]) ).
cnf(c_1944,plain,
join(sP2_iProver_def,converse(complement(sP3_iProver_def))) = top,
inference(demodulation,[status(thm)],[c_817,c_1941]) ).
cnf(c_1947,plain,
join(sP0_iProver_def,sP3_iProver_def) = top,
inference(demodulation,[status(thm)],[c_283,c_1941]) ).
cnf(c_2037,plain,
join(complement(top),complement(join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def)))))) = sK0,
inference(superposition,[status(thm)],[c_1944,c_218]) ).
cnf(c_2045,plain,
join(zero,complement(join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def)))))) = sK0,
inference(light_normalisation,[status(thm)],[c_2037,c_120]) ).
cnf(c_2165,plain,
join(complement(join(top,complement(zero))),complement(top)) = zero,
inference(superposition,[status(thm)],[c_59,c_227]) ).
cnf(c_2167,plain,
join(complement(join(top,complement(join(zero,zero)))),complement(top)) = join(zero,zero),
inference(superposition,[status(thm)],[c_1060,c_227]) ).
cnf(c_2169,plain,
join(complement(join(top,complement(sP1_iProver_def))),complement(sP0_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1602,c_227]) ).
cnf(c_2180,plain,
join(complement(sP0_iProver_def),complement(join(top,complement(sP1_iProver_def)))) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_2169,c_50,c_49]) ).
cnf(c_2181,plain,
join(sP1_iProver_def,complement(join(sP0_iProver_def,top))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_2180,c_128,c_989]) ).
cnf(c_2184,plain,
join(complement(top),complement(join(top,complement(zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_2165,c_50,c_49]) ).
cnf(c_2185,plain,
join(zero,complement(join(sP0_iProver_def,top))) = zero,
inference(light_normalisation,[status(thm)],[c_2184,c_120,c_1689]) ).
cnf(c_2205,plain,
join(complement(top),complement(join(top,complement(join(zero,zero))))) = join(zero,zero),
inference(theory_normalisation,[status(thm)],[c_2167,c_50,c_49]) ).
cnf(c_2206,plain,
join(zero,complement(join(sP0_iProver_def,top))) = join(zero,zero),
inference(light_normalisation,[status(thm)],[c_2205,c_120,c_1074,c_1687]) ).
cnf(c_2438,plain,
join(top,complement(join(sP0_iProver_def,top))) = join(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_2181,c_369]) ).
cnf(c_2441,plain,
join(top,complement(join(sP0_iProver_def,top))) = top,
inference(light_normalisation,[status(thm)],[c_2438,c_233]) ).
cnf(c_2658,plain,
join(complement(top),complement(join(zero,complement(join(sP0_iProver_def,top))))) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_2441,c_227]) ).
cnf(c_2662,plain,
join(sP0_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_2658,c_120,c_1060,c_2206]) ).
cnf(c_2666,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm)],[c_2185,c_2662]) ).
cnf(c_2674,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_2666,c_120]) ).
cnf(c_2703,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_2674,c_50]) ).
cnf(c_3144,plain,
join(complement(join(complement(complement(X0)),X0)),complement(top)) = complement(X0),
inference(superposition,[status(thm)],[c_59,c_242]) ).
cnf(c_3174,plain,
join(complement(top),complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_3144,c_50,c_49]) ).
cnf(c_3175,plain,
join(zero,complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_3174,c_120]) ).
cnf(c_3223,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_239,c_3175]) ).
cnf(c_3227,plain,
complement(sP2_iProver_def) = sK0,
inference(superposition,[status(thm)],[c_129,c_3223]) ).
cnf(c_3229,plain,
complement(sP1_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_128,c_3223]) ).
cnf(c_3236,plain,
join(zero,complement(join(X0,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_3223,c_238]) ).
cnf(c_3243,plain,
join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_3223,c_80]) ).
cnf(c_3932,plain,
join(zero,complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_3236,c_2703]) ).
cnf(c_3941,plain,
complement(join(X0,X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_3236,c_3932]) ).
cnf(c_3956,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_3223,c_3932]) ).
cnf(c_4337,plain,
join(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_3941,c_3223]) ).
cnf(c_4354,plain,
join(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_4337,c_3223]) ).
cnf(c_4397,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_4354,c_50]) ).
cnf(c_31179,plain,
complement(join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def))))) = sK0,
inference(demodulation,[status(thm)],[c_2045,c_3956]) ).
cnf(c_31221,plain,
join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def)))) = complement(sK0),
inference(superposition,[status(thm)],[c_31179,c_3223]) ).
cnf(c_31237,plain,
join(sP2_iProver_def,complement(converse(complement(sP3_iProver_def)))) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_31221,c_129]) ).
cnf(c_145810,plain,
join(complement(top),complement(join(sP0_iProver_def,complement(sP3_iProver_def)))) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_1947,c_3243]) ).
cnf(c_146609,plain,
join(complement(join(X0,X1)),complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_3243,c_4397]) ).
cnf(c_146645,plain,
join(complement(X0),complement(join(X0,X1))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_146609,c_50,c_49]) ).
cnf(c_146654,plain,
join(zero,complement(join(sP0_iProver_def,complement(sP3_iProver_def)))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_145810,c_120,c_128]) ).
cnf(c_147570,plain,
complement(join(sP0_iProver_def,complement(sP3_iProver_def))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_146654,c_3956]) ).
cnf(c_147660,plain,
join(sP0_iProver_def,complement(sP3_iProver_def)) = complement(sP1_iProver_def),
inference(superposition,[status(thm)],[c_147570,c_3223]) ).
cnf(c_147735,plain,
join(sP0_iProver_def,complement(sP3_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_147660,c_3229]) ).
cnf(c_147907,plain,
join(sK0,converse(complement(sP3_iProver_def))) = converse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_147735,c_263]) ).
cnf(c_147936,plain,
join(sK0,converse(complement(sP3_iProver_def))) = sK0,
inference(light_normalisation,[status(thm)],[c_147907,c_211]) ).
cnf(c_148323,plain,
join(complement(X0),complement(join(X1,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_49,c_146645]) ).
cnf(c_154223,plain,
join(complement(converse(complement(sP3_iProver_def))),complement(sK0)) = complement(converse(complement(sP3_iProver_def))),
inference(superposition,[status(thm)],[c_147936,c_148323]) ).
cnf(c_154996,plain,
join(complement(sK0),complement(converse(complement(sP3_iProver_def)))) = complement(converse(complement(sP3_iProver_def))),
inference(theory_normalisation,[status(thm)],[c_154223,c_50,c_49]) ).
cnf(c_154997,plain,
complement(converse(complement(sP3_iProver_def))) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_154996,c_129,c_31237]) ).
cnf(c_156592,plain,
converse(complement(sP3_iProver_def)) = complement(sP2_iProver_def),
inference(superposition,[status(thm)],[c_154997,c_3223]) ).
cnf(c_156683,plain,
converse(complement(sP3_iProver_def)) = sK0,
inference(light_normalisation,[status(thm)],[c_156592,c_3227]) ).
cnf(c_156884,plain,
complement(sP3_iProver_def) = converse(sK0),
inference(superposition,[status(thm)],[c_156683,c_55]) ).
cnf(c_156950,plain,
complement(sP3_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_156884,c_127]) ).
cnf(c_157148,plain,
complement(sP0_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_156950,c_3223]) ).
cnf(c_157217,plain,
sP1_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_157148,c_128]) ).
cnf(c_157218,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_157217,c_131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : REL004+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 19:51:49 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 57.33/8.75 % SZS status Started for theBenchmark.p
% 57.33/8.75 % SZS status Theorem for theBenchmark.p
% 57.33/8.75
% 57.33/8.75 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 57.33/8.75
% 57.33/8.75 ------ iProver source info
% 57.33/8.75
% 57.33/8.75 git: date: 2024-05-02 19:28:25 +0000
% 57.33/8.75 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 57.33/8.75 git: non_committed_changes: false
% 57.33/8.75
% 57.33/8.75 ------ Parsing...
% 57.33/8.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 57.33/8.75
% 57.33/8.75 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 57.33/8.75
% 57.33/8.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 57.33/8.75
% 57.33/8.75 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 57.33/8.75 ------ Proving...
% 57.33/8.75 ------ Problem Properties
% 57.33/8.75
% 57.33/8.75
% 57.33/8.75 clauses 20
% 57.33/8.75 conjectures 1
% 57.33/8.75 EPR 1
% 57.33/8.75 Horn 20
% 57.33/8.75 unary 20
% 57.33/8.75 binary 0
% 57.33/8.75 lits 20
% 57.33/8.75 lits eq 20
% 57.33/8.75 fd_pure 0
% 57.33/8.75 fd_pseudo 0
% 57.33/8.75 fd_cond 0
% 57.33/8.75 fd_pseudo_cond 0
% 57.33/8.75 AC symbols 1
% 57.33/8.75
% 57.33/8.75 ------ Schedule UEQ
% 57.33/8.75
% 57.33/8.75 ------ Option_UEQ Time Limit: 10.
% 57.33/8.75
% 57.33/8.75
% 57.33/8.75 ------
% 57.33/8.75 Current options:
% 57.33/8.75 ------
% 57.33/8.75
% 57.33/8.75
% 57.33/8.75
% 57.33/8.75
% 57.33/8.75 ------ Proving...
% 57.33/8.75
% 57.33/8.75
% 57.33/8.75 % SZS status Theorem for theBenchmark.p
% 57.33/8.75
% 57.33/8.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.33/8.75
% 57.33/8.76
%------------------------------------------------------------------------------