%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL004+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 : n026.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 02:36:30 PM UTC 2026
% Result : Theorem 50.47s 7.94s
% Output : CNFRefutation 50.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 17
% Syntax : Number of formulae : 186 ( 186 unt; 4 def)
% Number of atoms : 354 ( 185 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 129 !; 1 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',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,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f18]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f19]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f20]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_53,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f23]) ).
tcf(c_55,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f25]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f28]) ).
tcf(c_59,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f29]) ).
tcf(c_60,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f32]) ).
tcf(c_61,negated_conjecture,
complement(converse(sK0)) != converse(complement(sK0)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).
tcf(c_104,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).
tcf(c_111,definition,
iPr_def_10 = converse(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_112,definition,
iPr_def_11 = complement(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_113,definition,
iPr_def_12 = complement(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_114,definition,
iPr_def_13 = converse(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_115,negated_conjecture,
iPr_def_11 != iPr_def_13,
inference(demodulation,[status(thm)],[c_61,c_113,c_114,c_111,c_112]) ).
tcf(c_189,plain,
converse(iPr_def_10) = sK0,
inference(superposition,[status(thm)],[c_111,c_55]) ).
tcf(c_190,plain,
converse(iPr_def_13) = iPr_def_12,
inference(superposition,[status(thm)],[c_114,c_55]) ).
tcf(c_196,plain,
! [X0: $i] : join(complement(join(iPr_def_12,X0)),complement(join(iPr_def_12,complement(X0)))) = sK0,
inference(superposition,[status(thm)],[c_113,c_74]) ).
tcf(c_197,plain,
! [X0: $i] : join(complement(join(zero,X0)),complement(join(zero,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_104,c_74]) ).
tcf(c_198,plain,
! [X0: $i] : join(complement(join(iPr_def_11,X0)),complement(join(iPr_def_11,complement(X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_112,c_74]) ).
tcf(c_200,plain,
! [X0: $i] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_104,c_74]) ).
tcf(c_205,plain,
! [X0: $i] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_200,c_50,c_49]) ).
tcf(c_209,plain,
join(sK0,iPr_def_12) = top,
inference(superposition,[status(thm)],[c_113,c_59]) ).
tcf(c_210,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_104,c_59]) ).
tcf(c_211,plain,
join(iPr_def_10,iPr_def_11) = top,
inference(superposition,[status(thm)],[c_112,c_59]) ).
tcf(c_212,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
tcf(c_213,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
tcf(c_214,plain,
join(iPr_def_12,sK0) = top,
inference(theory_normalisation,[status(thm)],[c_209,c_50,c_49]) ).
tcf(c_215,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_212,c_50,c_49]) ).
tcf(c_216,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_215,c_104]) ).
tcf(c_217,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(light_normalisation,[status(thm)],[c_213,c_104]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_74]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_225,plain,
! [X0: $i] : join(iPr_def_10,converse(X0)) = converse(join(sK0,X0)),
inference(superposition,[status(thm)],[c_111,c_56]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_238,plain,
! [X0: $i] : composition(converse(X0),iPr_def_10) = converse(composition(sK0,X0)),
inference(superposition,[status(thm)],[c_111,c_57]) ).
tcf(c_241,plain,
! [X0: $i] : join(sK0,converse(X0)) = converse(join(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_189,c_56]) ).
tcf(c_242,plain,
converse(sK0) = iPr_def_10,
inference(superposition,[status(thm)],[c_189,c_55]) ).
tcf(c_243,plain,
! [X0: $i] : composition(converse(X0),sK0) = converse(composition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_189,c_57]) ).
tcf(c_247,plain,
! [X0: $i] : join(iPr_def_12,converse(X0)) = converse(join(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_190,c_56]) ).
tcf(c_248,plain,
converse(iPr_def_12) = iPr_def_13,
inference(superposition,[status(thm)],[c_190,c_55]) ).
tcf(c_267,plain,
join(iPr_def_10,converse(complement(sK0))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_225]) ).
tcf(c_273,plain,
join(iPr_def_10,iPr_def_13) = converse(top),
inference(light_normalisation,[status(thm)],[c_267,c_113,c_248]) ).
tcf(c_331,plain,
! [X0: $i] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_210,c_50]) ).
tcf(c_332,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_211,c_50]) ).
tcf(c_333,plain,
! [X0: $i] : join(iPr_def_12,join(sK0,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_214,c_50]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_391,plain,
composition(converse(one),iPr_def_10) = converse(sK0),
inference(superposition,[status(thm)],[c_53,c_238]) ).
tcf(c_400,plain,
composition(converse(one),iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_391,c_242]) ).
tcf(c_406,plain,
join(complement(iPr_def_10),composition(converse(converse(one)),complement(iPr_def_10))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_400,c_75]) ).
tcf(c_407,plain,
join(iPr_def_11,composition(converse(converse(one)),iPr_def_11)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_406,c_112]) ).
tcf(c_451,plain,
join(sK0,converse(iPr_def_11)) = converse(top),
inference(superposition,[status(thm)],[c_211,c_241]) ).
tcf(c_477,plain,
composition(converse(one),sK0) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_53,c_243]) ).
tcf(c_487,plain,
composition(converse(one),sK0) = sK0,
inference(light_normalisation,[status(thm)],[c_477,c_189]) ).
tcf(c_494,plain,
join(complement(sK0),composition(converse(converse(one)),complement(sK0))) = complement(sK0),
inference(superposition,[status(thm)],[c_487,c_75]) ).
tcf(c_497,plain,
join(iPr_def_12,composition(converse(converse(one)),iPr_def_12)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_494,c_113]) ).
tcf(c_571,plain,
join(iPr_def_12,converse(complement(iPr_def_13))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_247]) ).
tcf(c_658,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_59,c_331]) ).
tcf(c_670,plain,
join(complement(join(zero,zero)),complement(top)) = top,
inference(superposition,[status(thm)],[c_59,c_197]) ).
tcf(c_678,plain,
join(complement(top),complement(join(zero,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_670,c_50,c_49]) ).
tcf(c_679,plain,
join(zero,complement(join(zero,zero))) = top,
inference(light_normalisation,[status(thm)],[c_678,c_104]) ).
tcf(c_693,plain,
join(top,complement(join(zero,zero))) = join(top,top),
inference(superposition,[status(thm)],[c_679,c_331]) ).
tcf(c_707,plain,
join(top,complement(iPr_def_11)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_59,c_332]) ).
tcf(c_717,plain,
join(top,converse(iPr_def_11)) = join(iPr_def_12,converse(top)),
inference(superposition,[status(thm)],[c_451,c_333]) ).
tcf(c_746,plain,
join(iPr_def_11,composition(one,iPr_def_11)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_407,c_55]) ).
tcf(c_748,plain,
join(top,composition(one,iPr_def_11)) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_746,c_332]) ).
tcf(c_749,plain,
join(top,composition(one,iPr_def_11)) = top,
inference(light_normalisation,[status(thm)],[c_748,c_211]) ).
tcf(c_759,plain,
join(complement(join(iPr_def_11,iPr_def_11)),complement(top)) = iPr_def_10,
inference(superposition,[status(thm)],[c_59,c_198]) ).
tcf(c_766,plain,
join(complement(top),complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_759,c_50,c_49]) ).
tcf(c_767,plain,
join(zero,complement(join(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_766,c_104]) ).
tcf(c_784,plain,
join(iPr_def_12,composition(one,iPr_def_12)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_497,c_55]) ).
tcf(c_858,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_224]) ).
tcf(c_1188,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_237]) ).
tcf(c_1242,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1188,c_55]) ).
tcf(c_1271,plain,
! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1242,c_339]) ).
tcf(c_1273,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1271,c_1242]) ).
tcf(c_1279,plain,
join(top,iPr_def_11) = top,
inference(demodulation,[status(thm)],[c_749,c_1273]) ).
tcf(c_1280,plain,
join(iPr_def_11,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_746,c_1273]) ).
tcf(c_1281,plain,
join(iPr_def_12,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_784,c_1273]) ).
tcf(c_1283,plain,
join(zero,complement(iPr_def_11)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_767,c_1280]) ).
tcf(c_1284,plain,
join(iPr_def_11,top) = top,
inference(theory_normalisation,[status(thm)],[c_1279,c_50,c_49]) ).
tcf(c_1320,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1280,c_50]) ).
tcf(c_1326,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_12,X0)) = join(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_1281,c_50]) ).
tcf(c_1333,plain,
join(top,top) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1284,c_332]) ).
tcf(c_1335,plain,
join(top,complement(zero)) = join(iPr_def_10,top),
inference(demodulation,[status(thm)],[c_658,c_1333]) ).
tcf(c_1439,plain,
join(iPr_def_11,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_858,c_1320]) ).
tcf(c_1459,plain,
join(iPr_def_12,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_858,c_1326]) ).
tcf(c_1470,plain,
join(top,converse(iPr_def_11)) = converse(top),
inference(demodulation,[status(thm)],[c_717,c_1459]) ).
tcf(c_1499,plain,
join(converse(iPr_def_11),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_1439,c_227]) ).
tcf(c_1500,plain,
join(top,converse(iPr_def_11)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_1499,c_50,c_49]) ).
tcf(c_1501,plain,
converse(converse(top)) = converse(top),
inference(light_normalisation,[status(thm)],[c_1500,c_1470]) ).
tcf(c_1520,plain,
converse(top) = top,
inference(demodulation,[status(thm)],[c_1501,c_55]) ).
tcf(c_1523,plain,
join(iPr_def_12,converse(complement(iPr_def_13))) = top,
inference(demodulation,[status(thm)],[c_571,c_1520]) ).
tcf(c_1526,plain,
join(iPr_def_10,iPr_def_13) = top,
inference(demodulation,[status(thm)],[c_273,c_1520]) ).
tcf(c_1560,plain,
join(complement(join(top,complement(zero))),complement(top)) = zero,
inference(superposition,[status(thm)],[c_59,c_205]) ).
tcf(c_1562,plain,
join(complement(join(top,complement(join(zero,zero)))),complement(top)) = join(zero,zero),
inference(superposition,[status(thm)],[c_679,c_205]) ).
tcf(c_1564,plain,
join(complement(join(top,complement(iPr_def_11))),complement(iPr_def_10)) = iPr_def_11,
inference(superposition,[status(thm)],[c_1283,c_205]) ).
tcf(c_1573,plain,
join(complement(iPr_def_10),complement(join(top,complement(iPr_def_11)))) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1564,c_50,c_49]) ).
tcf(c_1574,plain,
join(iPr_def_11,complement(join(iPr_def_10,top))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1573,c_112,c_707]) ).
tcf(c_1577,plain,
join(complement(top),complement(join(top,complement(zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_1560,c_50,c_49]) ).
tcf(c_1578,plain,
join(zero,complement(join(iPr_def_10,top))) = zero,
inference(light_normalisation,[status(thm)],[c_1577,c_104,c_1335]) ).
tcf(c_1590,plain,
join(complement(top),complement(join(top,complement(join(zero,zero))))) = join(zero,zero),
inference(theory_normalisation,[status(thm)],[c_1562,c_50,c_49]) ).
tcf(c_1591,plain,
join(zero,complement(join(iPr_def_10,top))) = join(zero,zero),
inference(light_normalisation,[status(thm)],[c_1590,c_104,c_693,c_1333]) ).
tcf(c_1640,plain,
join(complement(top),complement(join(iPr_def_12,complement(converse(complement(iPr_def_13)))))) = sK0,
inference(superposition,[status(thm)],[c_1523,c_196]) ).
tcf(c_1647,plain,
join(zero,complement(join(iPr_def_12,complement(converse(complement(iPr_def_13)))))) = sK0,
inference(light_normalisation,[status(thm)],[c_1640,c_104]) ).
tcf(c_1898,plain,
join(top,complement(join(iPr_def_10,top))) = join(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_1574,c_332]) ).
tcf(c_1901,plain,
join(top,complement(join(iPr_def_10,top))) = top,
inference(light_normalisation,[status(thm)],[c_1898,c_211]) ).
tcf(c_1926,plain,
join(complement(top),complement(join(zero,complement(join(iPr_def_10,top))))) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_1901,c_205]) ).
tcf(c_1928,plain,
join(iPr_def_10,top) = top,
inference(light_normalisation,[status(thm)],[c_1926,c_104,c_679,c_1591]) ).
tcf(c_1930,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm)],[c_1578,c_1928]) ).
tcf(c_1938,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_1930,c_104]) ).
tcf(c_2184,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_1938,c_50]) ).
tcf(c_2447,plain,
! [X0: $i] : join(complement(join(complement(complement(X0)),X0)),complement(top)) = complement(X0),
inference(superposition,[status(thm)],[c_59,c_220]) ).
tcf(c_2475,plain,
! [X0: $i] : join(complement(top),complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_2447,c_50,c_49]) ).
tcf(c_2476,plain,
! [X0: $i] : join(zero,complement(join(X0,complement(complement(X0))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_2475,c_104]) ).
tcf(c_2519,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_217,c_2476]) ).
tcf(c_2523,plain,
complement(iPr_def_12) = sK0,
inference(superposition,[status(thm)],[c_113,c_2519]) ).
tcf(c_2525,plain,
complement(iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_112,c_2519]) ).
tcf(c_2531,plain,
! [X0: $i] : join(zero,complement(join(X0,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_2519,c_216]) ).
tcf(c_2537,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_2519,c_74]) ).
tcf(c_2576,plain,
complement(sK0) = iPr_def_12,
inference(superposition,[status(thm)],[c_2523,c_2519]) ).
tcf(c_2582,plain,
complement(iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_2525,c_2519]) ).
tcf(c_3349,plain,
! [X0: $i] : join(zero,complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_2531,c_2184]) ).
tcf(c_3358,plain,
! [X0: $i] : complement(join(X0,X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_2531,c_3349]) ).
tcf(c_3367,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_2519,c_3349]) ).
tcf(c_3664,plain,
! [X0: $i] : join(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_3358,c_2519]) ).
tcf(c_3667,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_3664,c_2519]) ).
tcf(c_3703,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_3667,c_50]) ).
tcf(c_27067,plain,
complement(join(iPr_def_12,complement(converse(complement(iPr_def_13))))) = sK0,
inference(demodulation,[status(thm)],[c_1647,c_3367]) ).
tcf(c_27098,plain,
join(iPr_def_12,complement(converse(complement(iPr_def_13)))) = complement(sK0),
inference(superposition,[status(thm)],[c_27067,c_2519]) ).
tcf(c_27102,plain,
join(iPr_def_12,complement(converse(complement(iPr_def_13)))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_27098,c_2576]) ).
tcf(c_130773,plain,
join(complement(top),complement(join(iPr_def_10,complement(iPr_def_13)))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_1526,c_2537]) ).
tcf(c_131481,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_2537,c_3703]) ).
tcf(c_131518,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(X0,X1))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_131481,c_50,c_49]) ).
tcf(c_131528,plain,
join(zero,complement(join(iPr_def_10,complement(iPr_def_13)))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_130773,c_104,c_2582]) ).
tcf(c_132510,plain,
complement(join(iPr_def_10,complement(iPr_def_13))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_131528,c_3367]) ).
tcf(c_132588,plain,
join(iPr_def_10,complement(iPr_def_13)) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_132510,c_2519]) ).
tcf(c_132601,plain,
join(iPr_def_10,complement(iPr_def_13)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_132588,c_2525]) ).
tcf(c_132705,plain,
join(sK0,converse(complement(iPr_def_13))) = converse(iPr_def_10),
inference(superposition,[status(thm)],[c_132601,c_241]) ).
tcf(c_132731,plain,
join(sK0,converse(complement(iPr_def_13))) = sK0,
inference(light_normalisation,[status(thm)],[c_132705,c_189]) ).
tcf(c_133072,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_2519,c_131518]) ).
tcf(c_136609,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_133072]) ).
tcf(c_137457,plain,
join(converse(complement(iPr_def_13)),complement(iPr_def_12)) = converse(complement(iPr_def_13)),
inference(superposition,[status(thm)],[c_27102,c_136609]) ).
tcf(c_137889,plain,
join(complement(iPr_def_12),converse(complement(iPr_def_13))) = converse(complement(iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_137457,c_50,c_49]) ).
tcf(c_137890,plain,
converse(complement(iPr_def_13)) = sK0,
inference(light_normalisation,[status(thm)],[c_137889,c_2523,c_132731]) ).
tcf(c_140188,plain,
complement(iPr_def_13) = converse(sK0),
inference(superposition,[status(thm)],[c_137890,c_55]) ).
tcf(c_140255,plain,
complement(iPr_def_13) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_140188,c_242]) ).
tcf(c_140436,plain,
complement(iPr_def_10) = iPr_def_13,
inference(superposition,[status(thm)],[c_140255,c_2519]) ).
tcf(c_140440,plain,
iPr_def_11 = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_140436,c_2582]) ).
tcf(c_140441,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_140440,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL004+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 07:08:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 50.47/7.94 % SZS status Started for theBenchmark.p
% 50.47/7.94 % SZS status Theorem for theBenchmark.p
% 50.47/7.94
% 50.47/7.94 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 50.47/7.94
% 50.47/7.94 % ------ iProver source info
% 50.47/7.94
% 50.47/7.94 % git: date: 2026-07-19 20:42:38 +0200
% 50.47/7.94 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 50.47/7.94 % git: non_committed_changes: false
% 50.47/7.94
% 50.47/7.94 % ------ Parsing...
% 50.47/7.94 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_UEQ
% 50.47/7.94 %
% 50.47/7.94
% 50.47/7.94 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 50.47/7.94
% 50.47/7.94 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 50.47/7.94 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 50.47/7.94
% 50.47/7.94 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 50.47/7.94 % ------ Proving...
% 50.47/7.94 % ------ Problem Properties
% 50.47/7.94
% 50.47/7.94 %
% 50.47/7.94 % clauses 17
% 50.47/7.94 % conjectures 1
% 50.47/7.94 % EPR 1
% 50.47/7.94 % Horn 17
% 50.47/7.94 % unary 17
% 50.47/7.94 % binary 0
% 50.47/7.94 % lits 17
% 50.47/7.94 % lits eq 17
% 50.47/7.94 % fd_pure 0
% 50.47/7.94 % fd_pseudo 0
% 50.47/7.94 % fd_cond 0
% 50.47/7.94 % fd_pseudo_cond 0
% 50.47/7.94 % AC symbols 1
% 50.47/7.94
% 50.47/7.94 % ------ Schedule UEQ
% 50.47/7.94
% 50.47/7.94 % ------ Option_UEQ Time Limit: 10.
% 50.47/7.94
% 50.47/7.94
% 50.47/7.94 % ------
% 50.47/7.94 % Current options:
% 50.47/7.94 % ------
% 50.47/7.94
% 50.47/7.94
% 50.47/7.94 %
% 50.47/7.94
% 50.47/7.94 % ------ Proving...
% 50.47/7.94 %
% 50.47/7.94
% 50.47/7.94 % SZS status Theorem for theBenchmark.p
% 50.47/7.94
% 50.47/7.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.47/7.94
% 50.47/7.94
%------------------------------------------------------------------------------