%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL047-1 : 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 : n016.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 02:37:01 PM UTC 2026
% Result : Unsatisfiable 20.43s 8.53s
% Output : CNFRefutation 20.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 22
% Syntax : Number of formulae : 154 ( 154 unt; 7 def)
% Number of atoms : 253 ( 153 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 : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 119 !; 0 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,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_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
fof(f13,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_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f17,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
sk2 = join(sk1,sk2),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
join(sk1,sk3) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
sk3 = join(sk1,sk3),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_16) ).
fof(f22,plain,
meet(sk2,sk3) != join(sk1,meet(sk2,sk3)),
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f24,plain,
complement(join(complement(sk2),complement(sk3))) != join(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(definition_unfolding,[],[f22,f6,f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_69,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_75,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f15]) ).
tcf(c_76,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f23]) ).
tcf(c_77,negated_conjecture,
join(sk1,sk2) = sk2,
inference(cnf_transformation,[],[f18]) ).
tcf(c_78,negated_conjecture,
join(sk1,sk3) = sk3,
inference(cnf_transformation,[],[f20]) ).
tcf(c_79,negated_conjecture,
join(sk1,complement(join(complement(sk2),complement(sk3)))) != complement(join(complement(sk2),complement(sk3))),
inference(cnf_transformation,[],[f24]) ).
tcf(c_92,negated_conjecture,
join(sk2,sk1) = sk2,
inference(theory_normalisation,[status(thm)],[c_77,c_66,c_65]) ).
tcf(c_93,negated_conjecture,
join(sk3,sk1) = sk3,
inference(theory_normalisation,[status(thm)],[c_78,c_66,c_65]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_67,c_66,c_65]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_74,c_66,c_65]) ).
tcf(c_128,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_76,c_75]) ).
tcf(c_135,definition,
iPr_def_10 = join(sk3,sk1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_136,definition,
iPr_def_11 = join(sk2,sk1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_137,definition,
iPr_def_12 = complement(sk2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_138,definition,
iPr_def_13 = complement(sk3),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_139,definition,
iPr_def_14 = join(iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_140,definition,
iPr_def_15 = complement(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_141,definition,
iPr_def_16 = join(sk1,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_142,negated_conjecture,
iPr_def_10 = sk3,
inference(demodulation,[status(thm)],[c_93,c_135]) ).
tcf(c_143,negated_conjecture,
iPr_def_11 = sk2,
inference(demodulation,[status(thm)],[c_92,c_136]) ).
tcf(c_144,negated_conjecture,
iPr_def_16 != iPr_def_15,
inference(demodulation,[status(thm)],[c_79,c_138,c_137,c_139,c_140,c_141]) ).
tcf(c_227,plain,
complement(iPr_def_11) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_137,c_143]) ).
tcf(c_228,plain,
complement(iPr_def_10) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_138,c_142]) ).
tcf(c_229,plain,
join(iPr_def_10,sk1) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_135,c_142]) ).
tcf(c_230,plain,
join(iPr_def_11,sk1) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_136,c_143]) ).
tcf(c_231,plain,
join(iPr_def_15,sk1) = iPr_def_16,
inference(theory_normalisation,[status(thm)],[c_141,c_66,c_65]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_66,c_65]) ).
tcf(c_242,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_13,X0)) = join(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_139,c_66]) ).
tcf(c_245,plain,
! [X0: $i] : join(iPr_def_10,join(sk1,X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_229,c_66]) ).
tcf(c_248,plain,
! [X0: $i] : join(iPr_def_11,join(sk1,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_230,c_66]) ).
tcf(c_262,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_128,c_75]) ).
tcf(c_264,plain,
join(iPr_def_11,iPr_def_12) = top,
inference(superposition,[status(thm)],[c_227,c_75]) ).
tcf(c_265,plain,
join(iPr_def_10,iPr_def_13) = top,
inference(superposition,[status(thm)],[c_228,c_75]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_75,c_66]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_69,c_68]) ).
tcf(c_283,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_264,c_66]) ).
tcf(c_286,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_13,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_265,c_66]) ).
tcf(c_308,plain,
join(iPr_def_10,complement(sk1)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_75,c_245]) ).
tcf(c_322,plain,
join(iPr_def_11,complement(sk1)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_75,c_248]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_71,c_72]) ).
tcf(c_453,plain,
join(top,complement(iPr_def_12)) = join(iPr_def_11,top),
inference(superposition,[status(thm)],[c_75,c_283]) ).
tcf(c_481,plain,
join(top,complement(iPr_def_13)) = join(iPr_def_10,top),
inference(superposition,[status(thm)],[c_75,c_286]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_71,c_73]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[status(thm)],[c_65,c_94]) ).
tcf(c_704,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_75,c_94]) ).
tcf(c_717,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_704,c_65]) ).
tcf(c_718,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_717,c_128]) ).
tcf(c_1288,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_75,c_232]) ).
tcf(c_1956,plain,
! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_75,c_266]) ).
tcf(c_3526,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_75,c_436]) ).
tcf(c_3940,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_69,c_538]) ).
tcf(c_3960,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_3940,c_71]) ).
tcf(c_4000,plain,
! [X0: $i] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(superposition,[status(thm)],[c_3960,c_95]) ).
tcf(c_4002,plain,
! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_3960,c_279]) ).
tcf(c_4005,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_4002,c_3960]) ).
tcf(c_4007,plain,
! [X0: $i] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(demodulation,[status(thm)],[c_4000,c_71]) ).
tcf(c_5753,plain,
join(zero,complement(join(iPr_def_15,iPr_def_15))) = iPr_def_14,
inference(superposition,[status(thm)],[c_140,c_718]) ).
tcf(c_6096,plain,
! [X0: $i] : join(join(complement(X0),complement(X0)),X0) = join(zero,top),
inference(superposition,[status(thm)],[c_718,c_1288]) ).
tcf(c_6229,plain,
! [X0: $i] : join(top,complement(X0)) = join(top,zero),
inference(demodulation,[status(thm)],[c_6096,c_65,c_66,c_75]) ).
tcf(c_6230,plain,
! [X0: $i] : join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_6229,c_262]) ).
tcf(c_6264,plain,
! [X0: $i] : join(X0,top) = top,
inference(demodulation,[status(thm)],[c_1956,c_6230]) ).
tcf(c_6266,plain,
join(iPr_def_11,top) = top,
inference(demodulation,[status(thm)],[c_453,c_6230]) ).
tcf(c_6267,plain,
join(iPr_def_10,top) = top,
inference(demodulation,[status(thm)],[c_481,c_6230]) ).
tcf(c_6270,plain,
join(iPr_def_10,complement(sk1)) = top,
inference(demodulation,[status(thm)],[c_308,c_6267]) ).
tcf(c_6271,plain,
join(iPr_def_11,complement(sk1)) = top,
inference(demodulation,[status(thm)],[c_322,c_6266]) ).
tcf(c_6501,plain,
! [X0: $i] : join(top,X0) = top,
inference(superposition,[status(thm)],[c_6264,c_65]) ).
tcf(c_6505,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[status(thm)],[c_6264,c_94]) ).
tcf(c_6516,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(light_normalisation,[status(thm)],[c_6505,c_128]) ).
tcf(c_6517,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_6516,c_66,c_65]) ).
tcf(c_6569,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_6501,c_3526]) ).
tcf(c_6572,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = top,
inference(demodulation,[status(thm)],[c_3526,c_6569]) ).
tcf(c_8836,plain,
join(zero,complement(top)) = zero,
inference(superposition,[status(thm)],[c_75,c_6517]) ).
tcf(c_8839,plain,
join(zero,complement(iPr_def_14)) = join(iPr_def_15,iPr_def_15),
inference(superposition,[status(thm)],[c_5753,c_6517]) ).
tcf(c_8852,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_8836,c_128]) ).
tcf(c_8860,plain,
join(zero,iPr_def_15) = join(iPr_def_15,iPr_def_15),
inference(light_normalisation,[status(thm)],[c_8839,c_140]) ).
tcf(c_8861,plain,
join(iPr_def_15,zero) = join(iPr_def_15,iPr_def_15),
inference(theory_normalisation,[status(thm)],[c_8860,c_66,c_65]) ).
tcf(c_8868,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_8852,c_66]) ).
tcf(c_10496,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_6517,c_8868]) ).
tcf(c_10521,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_6517,c_10496]) ).
tcf(c_10523,plain,
complement(join(iPr_def_15,iPr_def_15)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_5753,c_10496]) ).
tcf(c_10541,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_10496,c_65]) ).
tcf(c_10598,plain,
converse(complement(converse(zero))) = top,
inference(superposition,[status(thm)],[c_10496,c_6572]) ).
tcf(c_10622,plain,
join(iPr_def_15,iPr_def_15) = iPr_def_15,
inference(demodulation,[status(thm)],[c_8861,c_10541]) ).
tcf(c_11155,plain,
complement(iPr_def_15) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_10523,c_10622]) ).
tcf(c_11236,plain,
complement(converse(zero)) = converse(top),
inference(superposition,[status(thm)],[c_10598,c_71]) ).
tcf(c_11244,plain,
complement(converse(zero)) = top,
inference(light_normalisation,[status(thm)],[c_11236,c_6569]) ).
tcf(c_11288,plain,
! [X0: $i] : join(complement(join(top,X0)),complement(join(top,complement(X0)))) = converse(zero),
inference(superposition,[status(thm)],[c_11244,c_94]) ).
tcf(c_11290,plain,
! [X0: $i] : join(complement(join(complement(X0),converse(zero))),complement(join(complement(X0),top))) = X0,
inference(superposition,[status(thm)],[c_11244,c_94]) ).
tcf(c_11293,plain,
join(complement(top),complement(top)) = converse(zero),
inference(demodulation,[status(thm)],[c_11288,c_6501]) ).
tcf(c_11294,plain,
join(zero,zero) = converse(zero),
inference(light_normalisation,[status(thm)],[c_11293,c_128]) ).
tcf(c_11295,plain,
converse(zero) = zero,
inference(ac_demodulation,[status(thm)],[c_11294,c_10496,c_66,c_65]) ).
tcf(c_11296,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),converse(zero)))) = X0,
inference(demodulation,[status(thm)],[c_11290,c_65,c_6264]) ).
tcf(c_11297,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),converse(zero)))) = X0,
inference(light_normalisation,[status(thm)],[c_11296,c_128]) ).
tcf(c_11298,plain,
! [X0: $i] : complement(join(complement(X0),converse(zero))) = X0,
inference(ac_demodulation,[status(thm)],[c_11297,c_10496,c_66,c_65]) ).
tcf(c_11411,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,complement(complement(X1)))) = join(X0,X1),
inference(superposition,[status(thm)],[c_10521,c_232]) ).
tcf(c_11414,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(superposition,[status(thm)],[c_10521,c_10496]) ).
tcf(c_11422,plain,
! [X0: $i,X1: $i] : join(X0,complement(complement(X1))) = join(X0,X1),
inference(demodulation,[status(thm)],[c_11411,c_10496]) ).
tcf(c_11475,plain,
! [X0: $i] : complement(join(complement(X0),zero)) = X0,
inference(light_normalisation,[status(thm)],[c_11298,c_11295]) ).
tcf(c_11476,plain,
! [X0: $i] : complement(join(zero,complement(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_11475,c_66,c_65]) ).
tcf(c_14560,plain,
! [X0: $i] : join(X0,composition(one,X0)) = X0,
inference(superposition,[status(thm)],[c_11476,c_4007]) ).
tcf(c_14575,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_14560,c_4005]) ).
tcf(c_14612,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_14575,c_66]) ).
tcf(c_19750,plain,
join(complement(top),complement(join(complement(sk1),complement(iPr_def_10)))) = sk1,
inference(superposition,[status(thm)],[c_6270,c_694]) ).
tcf(c_19751,plain,
join(complement(top),complement(join(complement(sk1),complement(iPr_def_11)))) = sk1,
inference(superposition,[status(thm)],[c_6271,c_694]) ).
tcf(c_19807,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),X1) = X1,
inference(superposition,[status(thm)],[c_694,c_14612]) ).
tcf(c_19821,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_19807,c_65]) ).
tcf(c_19844,plain,
join(complement(top),complement(join(complement(iPr_def_11),complement(sk1)))) = sk1,
inference(demodulation,[status(thm)],[c_19751,c_65]) ).
tcf(c_19845,plain,
join(zero,complement(join(iPr_def_12,complement(sk1)))) = sk1,
inference(light_normalisation,[status(thm)],[c_19844,c_128,c_227]) ).
tcf(c_19846,plain,
complement(join(iPr_def_12,complement(sk1))) = sk1,
inference(ac_demodulation,[status(thm)],[c_19845,c_10496,c_66,c_65]) ).
tcf(c_19847,plain,
join(complement(top),complement(join(complement(iPr_def_10),complement(sk1)))) = sk1,
inference(demodulation,[status(thm)],[c_19750,c_65]) ).
tcf(c_19848,plain,
join(zero,complement(join(iPr_def_13,complement(sk1)))) = sk1,
inference(light_normalisation,[status(thm)],[c_19847,c_128,c_228]) ).
tcf(c_19849,plain,
complement(join(iPr_def_13,complement(sk1))) = sk1,
inference(ac_demodulation,[status(thm)],[c_19848,c_10496,c_66,c_65]) ).
tcf(c_20944,plain,
join(iPr_def_12,complement(sk1)) = complement(sk1),
inference(superposition,[status(thm)],[c_19846,c_11414]) ).
tcf(c_20973,plain,
join(iPr_def_13,complement(sk1)) = complement(sk1),
inference(superposition,[status(thm)],[c_19849,c_11414]) ).
tcf(c_21024,plain,
join(iPr_def_12,complement(sk1)) = join(iPr_def_14,complement(sk1)),
inference(superposition,[status(thm)],[c_20973,c_242]) ).
tcf(c_21035,plain,
join(iPr_def_14,complement(sk1)) = complement(sk1),
inference(light_normalisation,[status(thm)],[c_21024,c_20944]) ).
tcf(c_21383,plain,
! [X0: $i] : join(iPr_def_15,complement(join(X0,iPr_def_14))) = iPr_def_15,
inference(superposition,[status(thm)],[c_11155,c_19821]) ).
tcf(c_22165,plain,
! [X0: $i] : join(iPr_def_15,complement(join(iPr_def_14,X0))) = iPr_def_15,
inference(superposition,[status(thm)],[c_65,c_21383]) ).
tcf(c_23419,plain,
join(iPr_def_15,complement(complement(sk1))) = iPr_def_15,
inference(superposition,[status(thm)],[c_21035,c_22165]) ).
tcf(c_23459,plain,
join(iPr_def_15,sk1) = iPr_def_15,
inference(demodulation,[status(thm)],[c_23419,c_11422]) ).
tcf(c_23474,plain,
iPr_def_15 = iPr_def_16,
inference(demodulation,[status(thm)],[c_231,c_23459]) ).
tcf(c_23527,plain,
iPr_def_15 != iPr_def_15,
inference(demodulation,[status(thm)],[c_144,c_23474]) ).
tcf(c_23528,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_23527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL047-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.43 % Computer : n016.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Thu Sep 24 07:42:33 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.49 Running UEQ theorem proving
% 0.16/5.49 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/5.51
% 0.21/5.51 % ======== iProver multi-core TPTP/SMT =========
% 0.21/5.51
% 0.21/5.51 % Detected problem language: tptp
% 0.21/5.53 % Proving...
% 20.43/8.53 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 20.43/8.53 % SZS status Started for theBenchmark.p
% 20.43/8.53 % SZS status Unsatisfiable for theBenchmark.p
% 20.43/8.53
% 20.43/8.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 20.43/8.53
% 20.43/8.53 % ------ iProver source info
% 20.43/8.53
% 20.43/8.53 % git: date: 2026-07-19 20:42:38 +0200
% 20.43/8.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 20.43/8.53 % git: non_committed_changes: false
% 20.43/8.53
% 20.43/8.53 % ------ Parsing...% successful
% 20.43/8.53
% 20.43/8.53
% 20.43/8.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 20.43/8.53
% 20.43/8.53 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 20.43/8.53
% 20.43/8.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 20.43/8.53
% 20.43/8.53 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.43/8.53 % ------ Proving...
% 20.43/8.53 % ------ Problem Properties
% 20.43/8.53
% 20.43/8.53 %
% 20.43/8.53 % clauses 22
% 20.43/8.53 % conjectures 3
% 20.43/8.53 % EPR 3
% 20.43/8.53 % Horn 22
% 20.43/8.53 % unary 22
% 20.43/8.53 % binary 0
% 20.43/8.53 % lits 22
% 20.43/8.53 % lits eq 22
% 20.43/8.53 % fd_pure 0
% 20.43/8.53 % fd_pseudo 0
% 20.43/8.53 % fd_cond 0
% 20.43/8.53 % fd_pseudo_cond 0
% 20.43/8.53 % AC symbols 1
% 20.43/8.53
% 20.43/8.53 % ------ Input Options Time Limit: Unbounded
% 20.43/8.53
% 20.43/8.53
% 20.43/8.53 % ------
% 20.43/8.53 % Current options:
% 20.43/8.53 % ------
% 20.43/8.53
% 20.43/8.53
% 20.43/8.53 %
% 20.43/8.53
% 20.43/8.53 % ------ Proving...
% 20.43/8.53 %
% 20.43/8.53
% 20.43/8.53 % SZS status Unsatisfiable for theBenchmark.p
% 20.43/8.53
% 20.43/8.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.43/8.53
% 20.43/8.53
%------------------------------------------------------------------------------