%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL019-2 : 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 : n009.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 02:36:51 PM UTC 2026
% Result : Unsatisfiable 148.92s 22.85s
% Output : CNFRefutation 148.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 24
% Syntax : Number of formulae : 216 ( 216 unt; 7 def)
% Number of atoms : 492 ( 215 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 3 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 202 ( 0 sgn 202 !; 0 ?; 161 :)
% 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(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f21,axiom,
! [X2,X0,X1] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-1.ax',modular_law_2_16) ).
fof(f22,plain,
! [X2,X0,X1] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
sk1 = composition(sk1,top),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
composition(sk2,top) = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
sk2 = composition(sk2,top),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
composition(meet(sk1,sk2),top) != meet(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_19) ).
fof(f28,plain,
meet(sk1,sk2) != composition(meet(sk1,sk2),top),
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f32,plain,
! [X2,X0,X1] : complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2)))),
inference(definition_unfolding,[],[f22,f6,f6,f6,f6,f6]) ).
fof(f33,plain,
complement(join(complement(sk1),complement(sk2))) != composition(complement(join(complement(sk1),complement(sk2))),top),
inference(definition_unfolding,[],[f28,f6,f6]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_72,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f9]) ).
tcf(c_74,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_78,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f15]) ).
tcf(c_79,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f29]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2)))) = complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))),
inference(cnf_transformation,[],[f32]) ).
tcf(c_83,negated_conjecture,
composition(sk1,top) = sk1,
inference(cnf_transformation,[],[f24]) ).
tcf(c_84,negated_conjecture,
composition(sk2,top) = sk2,
inference(cnf_transformation,[],[f26]) ).
tcf(c_85,negated_conjecture,
composition(complement(join(complement(sk1),complement(sk2))),top) != complement(join(complement(sk1),complement(sk2))),
inference(cnf_transformation,[],[f33]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_70,c_69,c_68]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_77,c_69,c_68]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))) = complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))),
inference(theory_normalisation,[status(thm)],[c_82,c_69,c_68]) ).
tcf(c_145,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_79,c_78]) ).
tcf(c_152,definition,
iPr_def_10 = complement(sk1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_153,definition,
iPr_def_11 = complement(sk2),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_154,definition,
iPr_def_12 = join(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_155,definition,
iPr_def_13 = complement(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_156,definition,
iPr_def_14 = composition(iPr_def_13,top),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_157,definition,
iPr_def_15 = composition(sk2,top),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_158,definition,
iPr_def_16 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_159,negated_conjecture,
iPr_def_14 != iPr_def_13,
inference(demodulation,[status(thm)],[c_85,c_153,c_152,c_154,c_155,c_156]) ).
tcf(c_160,negated_conjecture,
iPr_def_15 = sk2,
inference(demodulation,[status(thm)],[c_84,c_157]) ).
tcf(c_161,negated_conjecture,
iPr_def_16 = sk1,
inference(demodulation,[status(thm)],[c_83,c_158]) ).
tcf(c_76807,plain,
complement(iPr_def_16) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_152,c_161]) ).
tcf(c_76808,plain,
complement(iPr_def_15) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_153,c_160]) ).
tcf(c_76809,plain,
composition(iPr_def_15,top) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_157,c_160]) ).
tcf(c_76810,plain,
composition(iPr_def_16,top) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_158,c_161]) ).
tcf(c_76811,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_69,c_68]) ).
tcf(c_76835,plain,
! [X0: $i] : composition(iPr_def_13,composition(top,X0)) = composition(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_156,c_71]) ).
tcf(c_76840,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(composition(X0,converse(X1))),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,X1)))),converse(X1)))))) = complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,X1)))),converse(X1))))),
inference(superposition,[status(thm)],[c_74,c_104]) ).
tcf(c_76845,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(composition(X0,one)),complement(X1))),complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one))))))))) = complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one)))))))),
inference(superposition,[status(thm)],[c_72,c_104]) ).
tcf(c_76846,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one))))))))) = complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one)))))))),
inference(demodulation,[status(thm)],[c_76845,c_72]) ).
tcf(c_76869,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_78,c_69]) ).
tcf(c_76870,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_78,c_69]) ).
tcf(c_76902,plain,
! [X0: $i] : composition(join(iPr_def_13,X0),top) = join(iPr_def_14,composition(X0,top)),
inference(superposition,[status(thm)],[c_156,c_73]) ).
tcf(c_76912,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_74,c_75]) ).
tcf(c_76936,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_154,c_69]) ).
tcf(c_77006,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_74,c_76]) ).
tcf(c_77046,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_72,c_77006]) ).
tcf(c_77061,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_77046,c_74]) ).
tcf(c_77120,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_77061,c_72]) ).
tcf(c_77132,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_77061,c_77120]) ).
tcf(c_77381,plain,
! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_78,c_76869]) ).
tcf(c_77393,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_13,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_155,c_76869]) ).
tcf(c_77531,plain,
! [X0: $i] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_77120,c_102]) ).
tcf(c_77547,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_77531,c_77132]) ).
tcf(c_77598,plain,
! [X0: $i] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_77547,c_101]) ).
tcf(c_77599,plain,
! [X0: $i] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_77547,c_76869]) ).
tcf(c_77609,plain,
! [X0: $i] : join(top,complement(X0)) = top,
inference(demodulation,[status(thm)],[c_77599,c_78]) ).
tcf(c_77610,plain,
! [X0: $i] : join(complement(top),complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_77598,c_68,c_78]) ).
tcf(c_77611,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_77610,c_145]) ).
tcf(c_77620,plain,
! [X0: $i] : join(X0,top) = top,
inference(demodulation,[status(thm)],[c_77381,c_77609]) ).
tcf(c_77635,plain,
! [X0: $i] : join(top,X0) = top,
inference(superposition,[status(thm)],[c_77620,c_68]) ).
tcf(c_77639,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[status(thm)],[c_77620,c_101]) ).
tcf(c_77641,plain,
! [X0: $i] : join(X0,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_77620,c_76912]) ).
tcf(c_77645,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(light_normalisation,[status(thm)],[c_77639,c_145]) ).
tcf(c_77646,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_77645,c_69,c_68]) ).
tcf(c_77651,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_76869,c_77635]) ).
tcf(c_77719,plain,
! [X0: $i] : join(converse(top),X0) = converse(top),
inference(superposition,[status(thm)],[c_77641,c_68]) ).
tcf(c_77745,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_77719,c_76870]) ).
tcf(c_77767,plain,
join(zero,complement(iPr_def_13)) = iPr_def_12,
inference(superposition,[status(thm)],[c_155,c_77611]) ).
tcf(c_77870,plain,
! [X0: $i] : join(zero,complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_77611,c_77646]) ).
tcf(c_77878,plain,
! [X0: $i,X1: $i] : join(zero,join(complement(join(zero,complement(X0))),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_77646,c_69]) ).
tcf(c_77888,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_77611,c_77870]) ).
tcf(c_77890,plain,
complement(iPr_def_13) = iPr_def_12,
inference(demodulation,[status(thm)],[c_77767,c_77870]) ).
tcf(c_77935,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_77870,c_78]) ).
tcf(c_77948,plain,
! [X0: $i,X1: $i] : join(zero,join(X0,X1)) = join(X0,X1),
inference(light_normalisation,[status(thm)],[c_77878,c_77888,c_77870]) ).
tcf(c_77957,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_101,c_77948]) ).
tcf(c_77961,plain,
join(zero,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_154,c_77948]) ).
tcf(c_77983,plain,
join(iPr_def_12,zero) = iPr_def_12,
inference(demodulation,[status(thm)],[c_77961,c_68]) ).
tcf(c_77998,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_77957,c_68]) ).
tcf(c_78018,plain,
! [X0: $i] : join(complement(join(complement(iPr_def_15),complement(X0))),complement(join(complement(X0),complement(composition(complement(join(complement(iPr_def_15),complement(composition(X0,converse(top))))),top))))) = complement(join(complement(X0),complement(composition(complement(join(complement(iPr_def_15),complement(composition(X0,converse(top))))),top)))),
inference(superposition,[status(thm)],[c_76809,c_104]) ).
tcf(c_78024,plain,
! [X0: $i] : join(complement(join(iPr_def_11,complement(X0))),complement(join(complement(X0),complement(composition(complement(join(iPr_def_11,complement(composition(X0,top)))),top))))) = complement(join(complement(X0),complement(composition(complement(join(iPr_def_11,complement(composition(X0,top)))),top)))),
inference(light_normalisation,[status(thm)],[c_78018,c_76808,c_77745]) ).
tcf(c_78136,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_77888,c_77547]) ).
tcf(c_78137,plain,
! [X0: $i,X1: $i] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_77888,c_102]) ).
tcf(c_78138,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_77888,c_101]) ).
tcf(c_78178,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(complement(X1),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_68,c_78138]) ).
tcf(c_78301,plain,
! [X0: $i] : join(complement(join(complement(iPr_def_16),complement(X0))),complement(join(complement(X0),complement(composition(complement(join(complement(iPr_def_16),complement(composition(X0,converse(top))))),top))))) = complement(join(complement(X0),complement(composition(complement(join(complement(iPr_def_16),complement(composition(X0,converse(top))))),top)))),
inference(superposition,[status(thm)],[c_76810,c_104]) ).
tcf(c_78310,plain,
! [X0: $i] : join(complement(join(iPr_def_10,complement(X0))),complement(join(complement(X0),complement(composition(complement(join(iPr_def_10,complement(composition(X0,top)))),top))))) = complement(join(complement(X0),complement(composition(complement(join(iPr_def_10,complement(composition(X0,top)))),top)))),
inference(light_normalisation,[status(thm)],[c_78301,c_76807,c_77745]) ).
tcf(c_78890,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,X1)),join(X2,complement(join(X0,complement(X1))))) = join(X2,complement(X0)),
inference(superposition,[status(thm)],[c_78138,c_76811]) ).
tcf(c_78915,plain,
! [X0: $i,X1: $i,X2: $i] : join(complement(join(X0,join(X1,X2))),complement(join(X1,complement(join(X0,X2))))) = complement(X1),
inference(superposition,[status(thm)],[c_76811,c_78138]) ).
tcf(c_79343,plain,
! [X0: $i] : join(complement(join(complement(X0),composition(complement(join(iPr_def_11,complement(composition(X0,top)))),top))),complement(join(complement(X0),complement(composition(complement(join(iPr_def_11,complement(composition(X0,top)))),top))))) = join(complement(join(iPr_def_11,complement(X0))),complement(complement(X0))),
inference(superposition,[status(thm)],[c_78024,c_78890]) ).
tcf(c_79344,plain,
! [X0: $i] : join(complement(join(complement(X0),composition(complement(join(iPr_def_10,complement(composition(X0,top)))),top))),complement(join(complement(X0),complement(composition(complement(join(iPr_def_10,complement(composition(X0,top)))),top))))) = join(complement(join(iPr_def_10,complement(X0))),complement(complement(X0))),
inference(superposition,[status(thm)],[c_78310,c_78890]) ).
tcf(c_79345,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(complement(X1))) = join(complement(join(complement(X1),X0)),complement(complement(X0))),
inference(superposition,[status(thm)],[c_78178,c_78890]) ).
tcf(c_79422,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X1),X0))) = join(X1,complement(join(complement(X0),X1))),
inference(demodulation,[status(thm)],[c_79345,c_68,c_77888]) ).
tcf(c_79460,plain,
! [X0: $i] : join(X0,complement(join(iPr_def_10,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_79344,c_68,c_77888,c_78138]) ).
tcf(c_79461,plain,
! [X0: $i] : join(X0,complement(join(iPr_def_11,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_79343,c_68,c_77888,c_78138]) ).
tcf(c_79530,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,top)),complement(join(X1,complement(join(X0,complement(X1)))))) = complement(X1),
inference(superposition,[status(thm)],[c_78,c_78915]) ).
tcf(c_79659,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(X0,complement(join(X1,complement(X0)))))) = complement(X0),
inference(demodulation,[status(thm)],[c_79530,c_77620]) ).
tcf(c_79660,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(X0,complement(join(X1,complement(X0)))))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_79659,c_145]) ).
tcf(c_79661,plain,
! [X0: $i,X1: $i] : complement(join(X0,complement(join(X1,complement(X0))))) = complement(X0),
inference(ac_demodulation,[status(thm)],[c_79660,c_77957,c_69,c_68]) ).
tcf(c_80788,plain,
join(iPr_def_10,iPr_def_11) = join(iPr_def_12,zero),
inference(superposition,[status(thm)],[c_77998,c_76936]) ).
tcf(c_80795,plain,
join(iPr_def_10,iPr_def_11) = iPr_def_12,
inference(demodulation,[status(thm)],[c_80788,c_77998]) ).
tcf(c_81037,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_13,X0)) = top,
inference(light_normalisation,[status(thm)],[c_77393,c_77635]) ).
tcf(c_81038,plain,
! [X0: $i] : join(iPr_def_12,join(X0,iPr_def_13)) = top,
inference(superposition,[status(thm)],[c_68,c_81037]) ).
tcf(c_81059,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_13,complement(join(iPr_def_12,X0))))) = complement(iPr_def_13),
inference(superposition,[status(thm)],[c_81037,c_78915]) ).
tcf(c_81064,plain,
! [X0: $i] : join(zero,complement(join(iPr_def_13,complement(join(iPr_def_12,X0))))) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_81059,c_145,c_77890]) ).
tcf(c_81065,plain,
! [X0: $i] : complement(join(iPr_def_13,complement(join(iPr_def_12,X0)))) = iPr_def_12,
inference(ac_demodulation,[status(thm)],[c_81064,c_77957,c_69,c_68]) ).
tcf(c_81977,plain,
! [X0: $i] : join(complement(top),complement(join(iPr_def_12,complement(join(X0,iPr_def_13))))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_81038,c_78138]) ).
tcf(c_81997,plain,
! [X0: $i] : join(zero,complement(join(iPr_def_12,complement(join(X0,iPr_def_13))))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_81977,c_145,c_155]) ).
tcf(c_81998,plain,
! [X0: $i] : complement(join(iPr_def_12,complement(join(X0,iPr_def_13)))) = iPr_def_13,
inference(ac_demodulation,[status(thm)],[c_81997,c_77957,c_69,c_68]) ).
tcf(c_83737,plain,
composition(iPr_def_13,top) = composition(iPr_def_14,one),
inference(superposition,[status(thm)],[c_72,c_76835]) ).
tcf(c_83751,plain,
composition(iPr_def_13,top) = iPr_def_14,
inference(demodulation,[status(thm)],[c_83737,c_72]) ).
tcf(c_83810,plain,
! [X0: $i] : join(iPr_def_13,complement(join(iPr_def_12,X0))) = complement(iPr_def_12),
inference(superposition,[status(thm)],[c_81065,c_77888]) ).
tcf(c_83857,plain,
! [X0: $i] : join(iPr_def_13,complement(join(iPr_def_12,X0))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_83810,c_155]) ).
tcf(c_84063,plain,
join(iPr_def_12,complement(join(iPr_def_10,iPr_def_13))) = iPr_def_12,
inference(superposition,[status(thm)],[c_155,c_79460]) ).
tcf(c_84065,plain,
join(iPr_def_15,complement(join(iPr_def_10,iPr_def_11))) = iPr_def_15,
inference(superposition,[status(thm)],[c_76808,c_79460]) ).
tcf(c_84126,plain,
join(iPr_def_15,iPr_def_13) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_84065,c_155,c_80795]) ).
tcf(c_84127,plain,
join(iPr_def_13,iPr_def_15) = iPr_def_15,
inference(theory_normalisation,[status(thm)],[c_84126,c_69,c_68]) ).
tcf(c_84223,plain,
join(iPr_def_16,complement(join(iPr_def_11,iPr_def_10))) = iPr_def_16,
inference(superposition,[status(thm)],[c_76807,c_79461]) ).
tcf(c_84288,plain,
join(iPr_def_16,complement(join(iPr_def_10,iPr_def_11))) = iPr_def_16,
inference(demodulation,[status(thm)],[c_84223,c_68]) ).
tcf(c_84289,plain,
join(iPr_def_16,iPr_def_13) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_84288,c_155,c_80795]) ).
tcf(c_84290,plain,
join(iPr_def_13,iPr_def_16) = iPr_def_16,
inference(theory_normalisation,[status(thm)],[c_84289,c_69,c_68]) ).
tcf(c_84857,plain,
complement(iPr_def_12) = iPr_def_13,
inference(superposition,[status(thm)],[c_84063,c_81998]) ).
tcf(c_86386,plain,
! [X0: $i] : join(complement(join(complement(composition(X0,converse(top))),complement(iPr_def_13))),complement(join(complement(iPr_def_13),complement(composition(complement(join(complement(X0),complement(iPr_def_14))),converse(top)))))) = complement(join(complement(iPr_def_13),complement(composition(complement(join(complement(X0),complement(iPr_def_14))),converse(top))))),
inference(superposition,[status(thm)],[c_83751,c_76840]) ).
tcf(c_86435,plain,
! [X0: $i] : join(complement(join(complement(iPr_def_13),complement(composition(X0,converse(top))))),complement(join(complement(iPr_def_13),complement(composition(complement(join(complement(X0),complement(iPr_def_14))),converse(top)))))) = complement(join(complement(iPr_def_13),complement(composition(complement(join(complement(X0),complement(iPr_def_14))),converse(top))))),
inference(demodulation,[status(thm)],[c_86386,c_68]) ).
tcf(c_86436,plain,
! [X0: $i] : join(complement(join(iPr_def_12,complement(composition(X0,top)))),complement(join(iPr_def_12,complement(composition(complement(join(complement(X0),complement(iPr_def_14))),top))))) = complement(join(iPr_def_12,complement(composition(complement(join(complement(X0),complement(iPr_def_14))),top)))),
inference(light_normalisation,[status(thm)],[c_86435,c_77745,c_77890]) ).
tcf(c_87001,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_79661,c_77888]) ).
tcf(c_87077,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_87001,c_77888]) ).
tcf(c_87867,plain,
! [X0: $i] : composition(converse(X0),complement(composition(X0,complement(zero)))) = zero,
inference(superposition,[status(thm)],[c_78137,c_77957]) ).
tcf(c_87896,plain,
! [X0: $i] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(light_normalisation,[status(thm)],[c_87867,c_77935]) ).
tcf(c_87933,plain,
! [X0: $i] : composition(X0,complement(composition(converse(X0),top))) = zero,
inference(superposition,[status(thm)],[c_74,c_87896]) ).
tcf(c_87939,plain,
composition(top,complement(composition(top,top))) = zero,
inference(superposition,[status(thm)],[c_77745,c_87896]) ).
tcf(c_88051,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,one)))))))) = complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,one))))))),
inference(light_normalisation,[status(thm)],[c_76846,c_77120]) ).
tcf(c_88127,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(join(complement(X1),complement(composition(X0,one)))))),complement(join(complement(X0),complement(complement(join(complement(X1),complement(composition(X0,one)))))))) = join(complement(join(complement(X1),complement(X0))),complement(complement(X0))),
inference(superposition,[status(thm)],[c_88051,c_78890]) ).
tcf(c_88171,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X1),complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_88127,c_68,c_77888,c_78138]) ).
tcf(c_88602,plain,
! [X0: $i] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[status(thm)],[c_87939,c_73]) ).
tcf(c_88613,plain,
! [X0: $i] : composition(X0,complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(demodulation,[status(thm)],[c_88602,c_77620,c_77998]) ).
tcf(c_88614,plain,
! [X0: $i] : composition(X0,complement(composition(top,top))) = zero,
inference(light_normalisation,[status(thm)],[c_88613,c_87939]) ).
tcf(c_88760,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),X1) = join(X1,complement(complement(X0))),
inference(superposition,[status(thm)],[c_88171,c_78890]) ).
tcf(c_88785,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X1),X0))) = join(X0,X1),
inference(demodulation,[status(thm)],[c_88760,c_68,c_77888]) ).
tcf(c_90368,plain,
complement(composition(top,top)) = zero,
inference(superposition,[status(thm)],[c_88614,c_77132]) ).
tcf(c_90868,plain,
composition(top,top) = complement(zero),
inference(superposition,[status(thm)],[c_90368,c_77888]) ).
tcf(c_90916,plain,
composition(top,top) = top,
inference(light_normalisation,[status(thm)],[c_90868,c_77935]) ).
tcf(c_91095,plain,
composition(iPr_def_13,top) = composition(iPr_def_14,top),
inference(superposition,[status(thm)],[c_90916,c_76835]) ).
tcf(c_91110,plain,
composition(iPr_def_14,top) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_91095,c_83751]) ).
tcf(c_92619,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X1),X0))) = join(X1,X0),
inference(light_normalisation,[status(thm)],[c_79422,c_88785]) ).
tcf(c_92741,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(X0,complement(X1)))) = join(X1,complement(join(complement(X0),complement(X1)))),
inference(superposition,[status(thm)],[c_92619,c_92619]) ).
tcf(c_92799,plain,
! [X0: $i,X1: $i] : join(complement(join(X0,complement(X1))),complement(join(complement(X0),complement(X1)))) = X1,
inference(demodulation,[status(thm)],[c_92741,c_68,c_88171]) ).
tcf(c_96226,plain,
! [X0: $i,X1: $i] : join(X0,composition(join(iPr_def_13,X1),top)) = join(iPr_def_14,join(X0,composition(X1,top))),
inference(superposition,[status(thm)],[c_76902,c_76811]) ).
tcf(c_98513,plain,
complement(composition(converse(one),top)) = zero,
inference(superposition,[status(thm)],[c_87933,c_77132]) ).
tcf(c_98525,plain,
complement(composition(one,top)) = zero,
inference(light_normalisation,[status(thm)],[c_98513,c_77120]) ).
tcf(c_99263,plain,
join(complement(join(iPr_def_12,complement(composition(composition(one,top),top)))),complement(join(iPr_def_12,complement(composition(complement(join(zero,complement(iPr_def_14))),top))))) = complement(join(iPr_def_12,complement(composition(complement(join(zero,complement(iPr_def_14))),top)))),
inference(superposition,[status(thm)],[c_98525,c_86436]) ).
tcf(c_99353,plain,
join(complement(join(iPr_def_12,complement(composition(iPr_def_14,top)))),complement(join(iPr_def_12,complement(composition(top,top))))) = complement(join(iPr_def_12,complement(composition(iPr_def_14,top)))),
inference(demodulation,[status(thm)],[c_99263,c_68,c_71,c_77132,c_77957,c_77888]) ).
tcf(c_99354,plain,
join(complement(join(iPr_def_12,complement(iPr_def_14))),iPr_def_13) = complement(join(iPr_def_12,complement(iPr_def_14))),
inference(light_normalisation,[status(thm)],[c_99353,c_145,c_77983,c_84857,c_90916,c_91110]) ).
tcf(c_99355,plain,
join(iPr_def_13,complement(join(iPr_def_12,complement(iPr_def_14)))) = complement(join(iPr_def_12,complement(iPr_def_14))),
inference(theory_normalisation,[status(thm)],[c_99354,c_69,c_68]) ).
tcf(c_99356,plain,
complement(join(iPr_def_12,complement(iPr_def_14))) = iPr_def_13,
inference(ac_demodulation,[status(thm)],[c_99355,c_83857,c_69,c_68]) ).
tcf(c_99633,plain,
join(iPr_def_12,complement(iPr_def_14)) = complement(iPr_def_13),
inference(superposition,[status(thm)],[c_99356,c_77888]) ).
tcf(c_99658,plain,
join(iPr_def_14,iPr_def_13) = iPr_def_14,
inference(superposition,[status(thm)],[c_99356,c_87077]) ).
tcf(c_99675,plain,
join(iPr_def_13,iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_99658,c_68]) ).
tcf(c_99676,plain,
join(iPr_def_12,complement(iPr_def_14)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_99633,c_77890]) ).
tcf(c_136059,plain,
! [X0: $i] : join(X0,composition(join(iPr_def_13,iPr_def_15),top)) = join(iPr_def_14,join(X0,iPr_def_15)),
inference(superposition,[status(thm)],[c_76809,c_96226]) ).
tcf(c_136060,plain,
! [X0: $i] : join(X0,composition(join(iPr_def_13,iPr_def_16),top)) = join(iPr_def_14,join(X0,iPr_def_16)),
inference(superposition,[status(thm)],[c_76810,c_96226]) ).
tcf(c_136259,plain,
! [X0: $i] : join(iPr_def_14,join(X0,iPr_def_16)) = join(X0,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_136060,c_76810,c_84290]) ).
tcf(c_136260,plain,
! [X0: $i] : join(iPr_def_14,join(X0,iPr_def_15)) = join(X0,iPr_def_15),
inference(light_normalisation,[status(thm)],[c_136059,c_76809,c_84127]) ).
tcf(c_137675,plain,
join(complement(iPr_def_14),iPr_def_16) = top,
inference(superposition,[status(thm)],[c_136259,c_77651]) ).
tcf(c_137691,plain,
join(iPr_def_16,complement(iPr_def_14)) = top,
inference(demodulation,[status(thm)],[c_137675,c_68]) ).
tcf(c_137964,plain,
join(complement(iPr_def_14),iPr_def_15) = top,
inference(superposition,[status(thm)],[c_136260,c_77651]) ).
tcf(c_137980,plain,
join(iPr_def_15,complement(iPr_def_14)) = top,
inference(demodulation,[status(thm)],[c_137964,c_68]) ).
tcf(c_139680,plain,
join(complement(top),complement(join(complement(iPr_def_16),complement(iPr_def_14)))) = iPr_def_14,
inference(superposition,[status(thm)],[c_137691,c_92799]) ).
tcf(c_139714,plain,
join(complement(top),complement(join(complement(iPr_def_14),complement(iPr_def_16)))) = iPr_def_14,
inference(demodulation,[status(thm)],[c_139680,c_68]) ).
tcf(c_139715,plain,
join(zero,complement(join(complement(iPr_def_14),iPr_def_10))) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_139714,c_145,c_76807]) ).
tcf(c_139716,plain,
join(zero,complement(join(iPr_def_10,complement(iPr_def_14)))) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_139715,c_69,c_68]) ).
tcf(c_139717,plain,
complement(join(iPr_def_10,complement(iPr_def_14))) = iPr_def_14,
inference(ac_demodulation,[status(thm)],[c_139716,c_77957,c_69,c_68]) ).
tcf(c_139805,plain,
join(complement(top),complement(join(complement(iPr_def_15),complement(iPr_def_14)))) = iPr_def_14,
inference(superposition,[status(thm)],[c_137980,c_92799]) ).
tcf(c_139841,plain,
join(complement(top),complement(join(complement(iPr_def_14),complement(iPr_def_15)))) = iPr_def_14,
inference(demodulation,[status(thm)],[c_139805,c_68]) ).
tcf(c_139842,plain,
join(zero,complement(join(complement(iPr_def_14),iPr_def_11))) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_139841,c_145,c_76808]) ).
tcf(c_139843,plain,
join(zero,complement(join(iPr_def_11,complement(iPr_def_14)))) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_139842,c_69,c_68]) ).
tcf(c_139844,plain,
complement(join(iPr_def_11,complement(iPr_def_14))) = iPr_def_14,
inference(ac_demodulation,[status(thm)],[c_139843,c_77957,c_69,c_68]) ).
tcf(c_141776,plain,
join(iPr_def_10,complement(iPr_def_14)) = complement(iPr_def_14),
inference(superposition,[status(thm)],[c_139717,c_77888]) ).
tcf(c_141811,plain,
join(iPr_def_14,complement(join(complement(iPr_def_14),complement(composition(complement(join(iPr_def_10,complement(composition(iPr_def_14,top)))),top))))) = complement(join(complement(iPr_def_14),complement(composition(complement(join(iPr_def_10,complement(composition(iPr_def_14,top)))),top)))),
inference(superposition,[status(thm)],[c_139717,c_78310]) ).
tcf(c_141867,plain,
join(iPr_def_14,complement(join(complement(iPr_def_14),complement(iPr_def_14)))) = complement(join(complement(iPr_def_14),complement(iPr_def_14))),
inference(light_normalisation,[status(thm)],[c_141811,c_91110,c_139717]) ).
tcf(c_141868,plain,
join(iPr_def_14,complement(complement(iPr_def_14))) = complement(complement(iPr_def_14)),
inference(ac_demodulation,[status(thm)],[c_141867,c_78136,c_78136,c_69,c_68]) ).
tcf(c_142384,plain,
join(iPr_def_11,complement(iPr_def_14)) = complement(iPr_def_14),
inference(superposition,[status(thm)],[c_139844,c_77888]) ).
tcf(c_145745,plain,
join(iPr_def_10,complement(iPr_def_14)) = join(iPr_def_12,complement(iPr_def_14)),
inference(superposition,[status(thm)],[c_142384,c_76936]) ).
tcf(c_145756,plain,
complement(iPr_def_14) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_145745,c_99676,c_141776]) ).
tcf(c_145790,plain,
join(iPr_def_14,complement(iPr_def_12)) = complement(iPr_def_12),
inference(demodulation,[status(thm)],[c_141868,c_145756]) ).
tcf(c_145821,plain,
join(iPr_def_14,iPr_def_13) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_145790,c_84857]) ).
tcf(c_145822,plain,
join(iPr_def_13,iPr_def_14) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_145821,c_69,c_68]) ).
tcf(c_145823,plain,
iPr_def_13 = iPr_def_14,
inference(demodulation,[status(thm)],[c_99675,c_145822]) ).
tcf(c_145859,plain,
iPr_def_13 != iPr_def_13,
inference(demodulation,[status(thm)],[c_159,c_145823]) ).
tcf(c_145861,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_145859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL019-2 : 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 : n009.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 07:16:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running UEQ theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 148.92/22.85 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 148.92/22.85 % SZS status Started for theBenchmark.p
% 148.92/22.85 % SZS status Unsatisfiable for theBenchmark.p
% 148.92/22.85
% 148.92/22.85 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 148.92/22.85
% 148.92/22.85 % ------ iProver source info
% 148.92/22.85
% 148.92/22.85 % git: date: 2026-07-19 20:42:38 +0200
% 148.92/22.85 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 148.92/22.85 % git: non_committed_changes: false
% 148.92/22.85
% 148.92/22.85 % ------ Parsing...% successful
% 148.92/22.85
% 148.92/22.85
% 148.92/22.85 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 148.92/22.85
% 148.92/22.85 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 148.92/22.85
% 148.92/22.85 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 148.92/22.85
% 148.92/22.85 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 148.92/22.85 % ------ Proving...
% 148.92/22.85 % ------ Problem Properties
% 148.92/22.85
% 148.92/22.85 %
% 148.92/22.85 % clauses 25
% 148.92/22.85 % conjectures 3
% 148.92/22.85 % EPR 3
% 148.92/22.85 % Horn 25
% 148.92/22.85 % unary 25
% 148.92/22.85 % binary 0
% 148.92/22.85 % lits 25
% 148.92/22.85 % lits eq 25
% 148.92/22.85 % fd_pure 0
% 148.92/22.85 % fd_pseudo 0
% 148.92/22.85 % fd_cond 0
% 148.92/22.85 % fd_pseudo_cond 0
% 148.92/22.85 % AC symbols 1
% 148.92/22.85
% 148.92/22.85 % ------ Input Options Time Limit: Unbounded
% 148.92/22.85
% 148.92/22.85
% 148.92/22.85 % ------
% 148.92/22.85 % Current options:
% 148.92/22.85 % ------
% 148.92/22.85
% 148.92/22.85
% 148.92/22.85 %
% 148.92/22.85
% 148.92/22.85 % ------ Proving...
% 148.92/22.85 %
% 148.92/22.85
% 148.92/22.85 % SZS status Unsatisfiable for theBenchmark.p
% 148.92/22.85
% 148.92/22.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 148.92/22.85
% 148.92/22.85
%------------------------------------------------------------------------------