%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL027-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 02:36:54 PM UTC 2026
% Result : Unsatisfiable 52.91s 15.34s
% Output : CNFRefutation 52.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 26
% Syntax : Number of formulae : 160 ( 160 unt; 12 def)
% Number of atoms : 373 ( 159 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 133 !; 0 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f17,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f21,plain,
complement(join(complement(complement(composition(sk1,top))),complement(one))) != complement(join(complement(complement(sk1)),complement(one))),
inference(definition_unfolding,[],[f19,f6,f6]) ).
tcf(c_64,negated_conjecture,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_66,negated_conjecture,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,negated_conjecture,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f9]) ).
tcf(c_70,negated_conjecture,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,negated_conjecture,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_73,negated_conjecture,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_74,negated_conjecture,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f15]) ).
tcf(c_76,negated_conjecture,
join(sk1,one) = one,
inference(cnf_transformation,[],[f18]) ).
tcf(c_77,negated_conjecture,
complement(join(complement(complement(composition(sk1,top))),complement(one))) != complement(join(complement(complement(sk1)),complement(one))),
inference(cnf_transformation,[],[f21]) ).
tcf(c_90,negated_conjecture,
join(one,sk1) = one,
inference(theory_normalisation,[status(thm)],[c_76,c_65,c_64]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_66,c_65,c_64]) ).
tcf(c_92,negated_conjecture,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_73,c_65,c_64]) ).
tcf(c_93,negated_conjecture,
complement(join(complement(one),complement(complement(composition(sk1,top))))) != complement(join(complement(one),complement(complement(sk1)))),
inference(theory_normalisation,[status(thm)],[c_77,c_65,c_64]) ).
tcf(c_131,definition,
iPr_def_10 = complement(top),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_132,definition,
iPr_def_11 = complement(one),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_133,definition,
iPr_def_12 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_134,definition,
iPr_def_13 = complement(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_135,definition,
iPr_def_14 = complement(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_136,definition,
iPr_def_15 = join(iPr_def_11,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_137,definition,
iPr_def_16 = complement(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_138,definition,
iPr_def_17 = complement(sk1),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_139,definition,
iPr_def_18 = complement(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_140,definition,
iPr_def_19 = join(iPr_def_11,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_141,definition,
iPr_def_20 = complement(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_142,definition,
iPr_def_21 = join(one,sk1),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_144,negated_conjecture,
iPr_def_16 != iPr_def_20,
inference(demodulation,[status(thm)],[c_93,c_138,c_139,c_140,c_141,c_133,c_134,c_135,c_132,c_136,c_137]) ).
tcf(c_145,negated_conjecture,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_146,negated_conjecture,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_147,negated_conjecture,
iPr_def_21 = one,
inference(demodulation,[status(thm)],[c_90,c_142]) ).
tcf(c_148,negated_conjecture,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_149,negated_conjecture,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_150,negated_conjecture,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_151,negated_conjecture,
! [X0: $i] : converse(converse(X0)) = X0,
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_152,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_153,negated_conjecture,
! [X0: $i] : composition(X0,one) = X0,
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_154,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_155,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_156,negated_conjecture,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_250,plain,
complement(iPr_def_21) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_132,c_147]) ).
tcf(c_265,plain,
join(iPr_def_21,sk1) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_142,c_147]) ).
tcf(c_266,plain,
! [X0: $i] : composition(X0,iPr_def_21) = X0,
inference(light_normalisation,[status(thm)],[c_153,c_147]) ).
tcf(c_269,plain,
join(iPr_def_12,iPr_def_13) = top,
inference(superposition,[status(thm)],[c_134,c_148]) ).
tcf(c_274,plain,
join(iPr_def_21,iPr_def_11) = top,
inference(superposition,[status(thm)],[c_250,c_148]) ).
tcf(c_275,plain,
join(iPr_def_11,iPr_def_21) = top,
inference(theory_normalisation,[status(thm)],[c_274,c_155,c_156]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_151,c_149]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_151,c_150]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_151,c_150]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] : composition(X0,composition(iPr_def_21,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_266,c_154]) ).
tcf(c_380,plain,
! [X0: $i] : composition(converse(iPr_def_21),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_266,c_279]) ).
tcf(c_393,plain,
! [X0: $i] : composition(converse(iPr_def_21),X0) = X0,
inference(demodulation,[status(thm)],[c_380,c_151]) ).
tcf(c_416,plain,
converse(iPr_def_21) = iPr_def_21,
inference(superposition,[status(thm)],[c_393,c_266]) ).
tcf(c_419,plain,
! [X0: $i] : composition(converse(iPr_def_21),X0) = composition(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_393,c_301]) ).
tcf(c_420,plain,
! [X0: $i] : composition(iPr_def_21,X0) = X0,
inference(demodulation,[status(thm)],[c_419,c_393]) ).
tcf(c_425,plain,
! [X0: $i] : join(iPr_def_21,converse(X0)) = converse(join(iPr_def_21,X0)),
inference(superposition,[status(thm)],[c_416,c_150]) ).
tcf(c_441,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_18,X0)) = join(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_140,c_155]) ).
tcf(c_443,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_13,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_269,c_155]) ).
tcf(c_448,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_21,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_275,c_155]) ).
tcf(c_505,plain,
! [X0: $i] : join(complement(iPr_def_21),composition(converse(X0),complement(X0))) = complement(iPr_def_21),
inference(superposition,[status(thm)],[c_266,c_145]) ).
tcf(c_508,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(X0))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_505,c_250]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(iPr_def_21,X1),X0),
inference(superposition,[status(thm)],[c_420,c_152]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i] : join(composition(X0,X1),X1) = composition(join(X0,iPr_def_21),X1),
inference(superposition,[status(thm)],[c_420,c_152]) ).
tcf(c_721,plain,
! [X0: $i] : join(complement(X0),composition(converse(iPr_def_21),complement(X0))) = complement(X0),
inference(superposition,[status(thm)],[c_420,c_145]) ).
tcf(c_723,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_721,c_416,c_420]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(X1,iPr_def_21),X0),
inference(theory_normalisation,[status(thm)],[c_720,c_155,c_156]) ).
tcf(c_749,plain,
join(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_131,c_723]) ).
tcf(c_753,plain,
join(iPr_def_18,iPr_def_18) = iPr_def_18,
inference(superposition,[status(thm)],[c_139,c_723]) ).
tcf(c_755,plain,
join(iPr_def_11,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_250,c_723]) ).
tcf(c_757,plain,
! [X0: $i] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_723,c_146]) ).
tcf(c_759,plain,
! [X0: $i] : join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_757,c_155,c_156]) ).
tcf(c_760,plain,
! [X0: $i] : join(iPr_def_10,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_759,c_156,c_148,c_131]) ).
tcf(c_799,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_10,X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_749,c_155]) ).
tcf(c_821,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_11,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_755,c_155]) ).
tcf(c_822,plain,
join(iPr_def_10,complement(iPr_def_17)) = sk1,
inference(superposition,[status(thm)],[c_138,c_760]) ).
tcf(c_824,plain,
join(iPr_def_10,complement(iPr_def_13)) = iPr_def_12,
inference(superposition,[status(thm)],[c_134,c_760]) ).
tcf(c_826,plain,
join(iPr_def_10,complement(iPr_def_16)) = iPr_def_15,
inference(superposition,[status(thm)],[c_137,c_760]) ).
tcf(c_828,plain,
join(iPr_def_10,complement(iPr_def_20)) = iPr_def_19,
inference(superposition,[status(thm)],[c_141,c_760]) ).
tcf(c_829,plain,
join(iPr_def_10,complement(iPr_def_11)) = iPr_def_21,
inference(superposition,[status(thm)],[c_250,c_760]) ).
tcf(c_831,plain,
join(iPr_def_10,iPr_def_14) = iPr_def_12,
inference(demodulation,[status(thm)],[c_824,c_135]) ).
tcf(c_832,plain,
join(iPr_def_10,iPr_def_18) = sk1,
inference(demodulation,[status(thm)],[c_822,c_139]) ).
tcf(c_856,plain,
join(iPr_def_21,converse(complement(iPr_def_21))) = converse(top),
inference(superposition,[status(thm)],[c_148,c_425]) ).
tcf(c_867,plain,
join(iPr_def_21,converse(iPr_def_11)) = converse(top),
inference(demodulation,[status(thm)],[c_856,c_250]) ).
tcf(c_1010,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_18)) = join(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_156,c_441]) ).
tcf(c_1013,plain,
join(iPr_def_11,iPr_def_18) = join(iPr_def_19,iPr_def_18),
inference(superposition,[status(thm)],[c_753,c_441]) ).
tcf(c_1015,plain,
join(iPr_def_11,iPr_def_18) = join(iPr_def_18,iPr_def_19),
inference(theory_normalisation,[status(thm)],[c_1013,c_155,c_156]) ).
tcf(c_1016,plain,
join(iPr_def_18,iPr_def_19) = iPr_def_19,
inference(demodulation,[status(thm)],[c_1015,c_140]) ).
tcf(c_1055,plain,
join(iPr_def_11,iPr_def_19) = join(iPr_def_19,iPr_def_19),
inference(superposition,[status(thm)],[c_1016,c_441]) ).
tcf(c_1249,plain,
join(top,converse(iPr_def_11)) = join(iPr_def_11,converse(top)),
inference(superposition,[status(thm)],[c_867,c_448]) ).
tcf(c_1515,plain,
! [X0: $i] : join(iPr_def_10,X0) = X0,
inference(superposition,[status(thm)],[c_760,c_799]) ).
tcf(c_1526,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_760,c_1515]) ).
tcf(c_1528,plain,
iPr_def_12 = iPr_def_14,
inference(demodulation,[status(thm)],[c_831,c_1515]) ).
tcf(c_1529,plain,
sk1 = iPr_def_18,
inference(demodulation,[status(thm)],[c_832,c_1515]) ).
tcf(c_1533,plain,
complement(iPr_def_16) = iPr_def_15,
inference(demodulation,[status(thm)],[c_826,c_1515]) ).
tcf(c_1535,plain,
complement(iPr_def_20) = iPr_def_19,
inference(demodulation,[status(thm)],[c_828,c_1515]) ).
tcf(c_1536,plain,
complement(iPr_def_11) = iPr_def_21,
inference(demodulation,[status(thm)],[c_829,c_1515]) ).
tcf(c_1557,plain,
join(iPr_def_21,iPr_def_18) = iPr_def_21,
inference(demodulation,[status(thm)],[c_265,c_1529]) ).
tcf(c_1558,plain,
composition(iPr_def_18,top) = iPr_def_12,
inference(demodulation,[status(thm)],[c_133,c_1529]) ).
tcf(c_1560,plain,
join(iPr_def_18,iPr_def_21) = iPr_def_21,
inference(theory_normalisation,[status(thm)],[c_1557,c_155,c_156]) ).
tcf(c_1569,plain,
join(iPr_def_11,iPr_def_12) = iPr_def_15,
inference(demodulation,[status(thm)],[c_136,c_1528]) ).
tcf(c_1683,plain,
join(iPr_def_19,iPr_def_19) = iPr_def_19,
inference(superposition,[status(thm)],[c_1535,c_723]) ).
tcf(c_1690,plain,
join(iPr_def_11,iPr_def_19) = iPr_def_19,
inference(demodulation,[status(thm)],[c_1055,c_1683]) ).
tcf(c_1720,plain,
join(iPr_def_11,composition(converse(iPr_def_11),iPr_def_21)) = iPr_def_11,
inference(superposition,[status(thm)],[c_1536,c_508]) ).
tcf(c_1726,plain,
join(iPr_def_11,converse(iPr_def_11)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_1720,c_266]) ).
tcf(c_1853,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_19,X0)) = join(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_441,c_821]) ).
tcf(c_1902,plain,
complement(iPr_def_15) = iPr_def_16,
inference(superposition,[status(thm)],[c_1533,c_1526]) ).
tcf(c_1907,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_1526,c_723]) ).
tcf(c_2349,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_1907,c_155]) ).
tcf(c_3486,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_19)) = join(X0,iPr_def_19),
inference(superposition,[status(thm)],[c_156,c_1853]) ).
tcf(c_3685,plain,
! [X0: $i] : join(X0,top) = top,
inference(superposition,[status(thm)],[c_148,c_2349]) ).
tcf(c_3858,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_13,X0)) = top,
inference(ac_demodulation,[status(thm)],[c_443,c_3685,c_155,c_156]) ).
tcf(c_3859,plain,
! [X0: $i] : join(top,X0) = top,
inference(demodulation,[status(thm)],[c_443,c_3858]) ).
tcf(c_3883,plain,
join(iPr_def_11,converse(top)) = top,
inference(demodulation,[status(thm)],[c_1249,c_3859]) ).
tcf(c_4057,plain,
! [X0: $i] : join(iPr_def_11,join(converse(top),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_3883,c_155]) ).
tcf(c_4058,plain,
! [X0: $i] : join(iPr_def_11,join(converse(top),X0)) = top,
inference(demodulation,[status(thm)],[c_4057,c_3859]) ).
tcf(c_4670,plain,
join(iPr_def_19,converse(top)) = top,
inference(superposition,[status(thm)],[c_4058,c_1010]) ).
tcf(c_7850,plain,
! [X0: $i] : join(X0,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_3685,c_284]) ).
tcf(c_7894,plain,
converse(top) = top,
inference(demodulation,[status(thm)],[c_4670,c_7850]) ).
tcf(c_7904,plain,
join(iPr_def_21,converse(iPr_def_11)) = top,
inference(demodulation,[status(thm)],[c_867,c_7894]) ).
tcf(c_8043,plain,
join(converse(iPr_def_11),iPr_def_11) = converse(iPr_def_11),
inference(superposition,[status(thm)],[c_1726,c_285]) ).
tcf(c_8069,plain,
join(iPr_def_11,converse(iPr_def_11)) = converse(iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_8043,c_155,c_156]) ).
tcf(c_8070,plain,
converse(iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_8069,c_1726]) ).
tcf(c_8222,plain,
! [X0: $i] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_7894,c_149]) ).
tcf(c_8246,plain,
! [X0: $i] : composition(converse(X0),iPr_def_11) = converse(composition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_8070,c_149]) ).
tcf(c_8745,plain,
join(iPr_def_21,iPr_def_11) = top,
inference(light_normalisation,[status(thm)],[c_7904,c_8070]) ).
tcf(c_36984,plain,
! [X0: $i] : join(X0,composition(iPr_def_11,X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_8745,c_718]) ).
tcf(c_37743,plain,
! [X0: $i] : join(X0,composition(iPr_def_18,X0)) = composition(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_1560,c_724]) ).
tcf(c_37810,plain,
! [X0: $i] : join(X0,composition(iPr_def_18,X0)) = X0,
inference(demodulation,[status(thm)],[c_37743,c_420]) ).
tcf(c_37999,plain,
! [X0: $i,X1: $i] : join(X0,join(composition(iPr_def_18,X0),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_37810,c_155]) ).
tcf(c_43378,plain,
! [X0: $i] : join(X0,converse(composition(iPr_def_11,converse(X0)))) = converse(composition(top,converse(X0))),
inference(superposition,[status(thm)],[c_36984,c_284]) ).
tcf(c_43504,plain,
! [X0: $i] : join(X0,composition(X0,iPr_def_11)) = composition(X0,top),
inference(demodulation,[status(thm)],[c_43378,c_151,c_8222,c_8246]) ).
tcf(c_60411,plain,
join(iPr_def_11,composition(iPr_def_18,top)) = join(iPr_def_19,composition(iPr_def_18,iPr_def_11)),
inference(superposition,[status(thm)],[c_43504,c_441]) ).
tcf(c_60555,plain,
join(iPr_def_19,composition(iPr_def_18,iPr_def_11)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_60411,c_1558,c_1569]) ).
tcf(c_139099,plain,
join(composition(iPr_def_18,iPr_def_11),iPr_def_19) = join(iPr_def_11,iPr_def_19),
inference(superposition,[status(thm)],[c_37999,c_3486]) ).
tcf(c_139455,plain,
join(iPr_def_19,composition(iPr_def_18,iPr_def_11)) = join(iPr_def_11,iPr_def_19),
inference(theory_normalisation,[status(thm)],[c_139099,c_155,c_156]) ).
tcf(c_139456,plain,
iPr_def_15 = iPr_def_19,
inference(demodulation,[status(thm)],[c_139455,c_1690,c_60555]) ).
tcf(c_139738,plain,
complement(iPr_def_15) = iPr_def_20,
inference(demodulation,[status(thm)],[c_141,c_139456]) ).
tcf(c_139739,plain,
iPr_def_16 = iPr_def_20,
inference(demodulation,[status(thm)],[c_139738,c_1902]) ).
tcf(c_139740,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_139739,c_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL027-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 07:22:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running UEQ theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 52.91/15.34 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 52.91/15.34 % SZS status Started for theBenchmark.p
% 52.91/15.34 % SZS status Unsatisfiable for theBenchmark.p
% 52.91/15.34
% 52.91/15.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 52.91/15.34
% 52.91/15.34 % ------ iProver source info
% 52.91/15.34
% 52.91/15.34 % git: date: 2026-07-19 20:42:38 +0200
% 52.91/15.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 52.91/15.34 % git: non_committed_changes: false
% 52.91/15.34
% 52.91/15.34 % ------ Parsing...% successful
% 52.91/15.34
% 52.91/15.34
% 52.91/15.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 52.91/15.34
% 52.91/15.34 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 52.91/15.34
% 52.91/15.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 52.91/15.34
% 52.91/15.34 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 52.91/15.34 % ------ Proving...
% 52.91/15.34 % ------ Problem Properties
% 52.91/15.34
% 52.91/15.34 %
% 52.91/15.34 % clauses 26
% 52.91/15.34 % conjectures 13
% 52.91/15.34 % EPR 3
% 52.91/15.34 % Horn 26
% 52.91/15.34 % unary 26
% 52.91/15.34 % binary 0
% 52.91/15.34 % lits 26
% 52.91/15.34 % lits eq 26
% 52.91/15.34 % fd_pure 0
% 52.91/15.34 % fd_pseudo 0
% 52.91/15.34 % fd_cond 0
% 52.91/15.34 % fd_pseudo_cond 0
% 52.91/15.34 % AC symbols 1
% 52.91/15.34
% 52.91/15.34 % ------ Input Options Time Limit: Unbounded
% 52.91/15.34
% 52.91/15.34
% 52.91/15.34 % ------
% 52.91/15.34 % Current options:
% 52.91/15.34 % ------
% 52.91/15.34
% 52.91/15.34
% 52.91/15.34 %
% 52.91/15.34
% 52.91/15.34 % ------ Proving...
% 52.91/15.34 %
% 52.91/15.34
% 52.91/15.34 % SZS status Unsatisfiable for theBenchmark.p
% 52.91/15.34
% 52.91/15.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 52.91/15.34
% 52.91/15.34
%------------------------------------------------------------------------------