%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL031+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 : n002.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 02:36:56 PM UTC 2026
% Result : Theorem 3.81s 29.37s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 19
% Syntax : Number of formulae : 116 ( 111 unt; 10 def)
% Number of atoms : 293 ( 125 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 19 ( 9 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 96 !; 4 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(f17,conjecture,
! [X0,X1] :
( ( join(composition(converse(X1),X1),one) = one
& join(composition(converse(X0),X0),one) = one )
=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( join(composition(converse(X1),X1),one) = one
& join(composition(converse(X0),X0),one) = one )
=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] :
( join(composition(converse(X1),X1),one) = one
& join(composition(converse(X0),X0),one) = one
& one != join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
? [X0,X1] :
( join(composition(converse(X1),X1),one) = one
& join(composition(converse(X0),X0),one) = one
& one != join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
( one = join(composition(converse(sK1),sK1),one)
& one = join(composition(converse(sK0),sK0),one)
& one != join(composition(converse(composition(sK0,sK1)),composition(sK0,sK1)),one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f22,plain,
one = join(composition(converse(sK1),sK1),one),
inference(cnf_transformation,[],[f21]) ).
fof(f23,plain,
one = join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f21]) ).
fof(f24,plain,
one != join(composition(converse(composition(sK0,sK1)),composition(sK0,sK1)),one),
inference(cnf_transformation,[],[f21]) ).
fof(f25,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_49,negated_conjecture,
join(composition(converse(composition(sK0,sK1)),composition(sK0,sK1)),one) != one,
inference(cnf_transformation,[],[f24]) ).
tcf(c_50,negated_conjecture,
join(composition(converse(sK0),sK0),one) = one,
inference(cnf_transformation,[],[f23]) ).
tcf(c_51,negated_conjecture,
join(composition(converse(sK1),sK1),one) = one,
inference(cnf_transformation,[],[f22]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f26]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f28]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f29]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f30]) ).
tcf(c_58,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f31]) ).
tcf(c_59,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f32]) ).
tcf(c_68,negated_conjecture,
join(one,composition(converse(composition(sK0,sK1)),composition(sK0,sK1))) != one,
inference(theory_normalisation,[status(thm)],[c_49,c_52,c_53]) ).
tcf(c_69,negated_conjecture,
join(one,composition(converse(sK0),sK0)) = one,
inference(theory_normalisation,[status(thm)],[c_50,c_52,c_53]) ).
tcf(c_70,negated_conjecture,
join(one,composition(converse(sK1),sK1)) = one,
inference(theory_normalisation,[status(thm)],[c_51,c_52,c_53]) ).
tcf(c_98,definition,
iPr_def_10 = converse(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_99,definition,
iPr_def_11 = composition(iPr_def_10,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_100,definition,
iPr_def_12 = join(one,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_101,definition,
iPr_def_13 = converse(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_102,definition,
iPr_def_14 = composition(iPr_def_13,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_103,definition,
iPr_def_15 = join(one,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_104,definition,
iPr_def_16 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_105,definition,
iPr_def_17 = converse(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_106,definition,
iPr_def_18 = composition(iPr_def_17,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_107,definition,
iPr_def_19 = join(one,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_108,negated_conjecture,
iPr_def_12 = one,
inference(demodulation,[status(thm)],[c_70,c_98,c_99,c_100]) ).
tcf(c_109,negated_conjecture,
iPr_def_15 = one,
inference(demodulation,[status(thm)],[c_69,c_101,c_102,c_103]) ).
tcf(c_110,negated_conjecture,
iPr_def_19 != one,
inference(demodulation,[status(thm)],[c_68,c_104,c_105,c_106,c_107]) ).
tcf(c_290896,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_52,c_53]) ).
tcf(c_290902,plain,
iPr_def_12 = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_109,c_108]) ).
tcf(c_290911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,composition(X1,X2)),composition(X3,X2)) = composition(join(composition(X0,X1),X3),X2),
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_290912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : join(composition(X0,X1),composition(X2,composition(X3,X1))) = composition(join(X0,composition(X2,X3)),X1),
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_290913,plain,
! [X0: $i] : composition(iPr_def_10,converse(X0)) = converse(composition(X0,sK1)),
inference(superposition,[status(thm)],[c_98,c_56]) ).
tcf(c_290914,plain,
! [X0: $i] : converse(join(sK1,X0)) = join(iPr_def_10,converse(X0)),
inference(superposition,[status(thm)],[c_98,c_54]) ).
tcf(c_290918,plain,
! [X0: $i] : composition(iPr_def_13,converse(X0)) = converse(composition(X0,sK0)),
inference(superposition,[status(thm)],[c_101,c_56]) ).
tcf(c_290923,plain,
! [X0: $i] : composition(X0,iPr_def_12) = X0,
inference(light_normalisation,[status(thm)],[c_58,c_108]) ).
tcf(c_290925,plain,
! [X0: $i,X1: $i] : composition(X0,composition(iPr_def_12,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_290923,c_57]) ).
tcf(c_290930,plain,
converse(iPr_def_13) = sK0,
inference(superposition,[status(thm)],[c_101,c_59]) ).
tcf(c_290931,plain,
converse(iPr_def_10) = sK1,
inference(superposition,[status(thm)],[c_98,c_59]) ).
tcf(c_290934,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_59,c_56]) ).
tcf(c_290940,plain,
converse(iPr_def_17) = iPr_def_16,
inference(superposition,[status(thm)],[c_105,c_59]) ).
tcf(c_290946,plain,
iPr_def_12 != iPr_def_19,
inference(light_normalisation,[status(thm)],[c_110,c_108]) ).
tcf(c_290947,plain,
join(iPr_def_11,one) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_100,c_52,c_53]) ).
tcf(c_290948,plain,
join(iPr_def_11,iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_290947,c_108]) ).
tcf(c_290949,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_290948,c_52]) ).
tcf(c_290950,plain,
! [X0: $i] : composition(iPr_def_13,composition(sK0,X0)) = composition(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_102,c_57]) ).
tcf(c_290954,plain,
join(iPr_def_14,one) = iPr_def_15,
inference(theory_normalisation,[status(thm)],[c_103,c_52,c_53]) ).
tcf(c_290955,plain,
join(iPr_def_14,iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_290954,c_108,c_290902]) ).
tcf(c_290956,plain,
join(iPr_def_12,iPr_def_14) = iPr_def_12,
inference(demodulation,[status(thm)],[c_290955,c_53]) ).
tcf(c_290958,plain,
converse(sK0) = iPr_def_13,
inference(superposition,[status(thm)],[c_290930,c_59]) ).
tcf(c_290961,plain,
! [X0: $i] : composition(converse(X0),sK0) = converse(composition(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_290930,c_56]) ).
tcf(c_290964,plain,
converse(sK1) = iPr_def_10,
inference(superposition,[status(thm)],[c_290931,c_59]) ).
tcf(c_290978,plain,
join(iPr_def_18,one) = iPr_def_19,
inference(theory_normalisation,[status(thm)],[c_107,c_52,c_53]) ).
tcf(c_290979,plain,
join(iPr_def_18,iPr_def_12) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_290978,c_108]) ).
tcf(c_290980,plain,
join(iPr_def_12,iPr_def_18) = iPr_def_19,
inference(demodulation,[status(thm)],[c_290979,c_53]) ).
tcf(c_290982,plain,
converse(iPr_def_16) = iPr_def_17,
inference(superposition,[status(thm)],[c_290940,c_59]) ).
tcf(c_291003,plain,
! [X0: $i] : join(iPr_def_12,join(X0,iPr_def_18)) = join(X0,iPr_def_19),
inference(superposition,[status(thm)],[c_290980,c_290896]) ).
tcf(c_291162,plain,
composition(iPr_def_10,converse(sK0)) = converse(iPr_def_16),
inference(superposition,[status(thm)],[c_104,c_290913]) ).
tcf(c_291175,plain,
composition(iPr_def_10,iPr_def_13) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_291162,c_290958,c_290982]) ).
tcf(c_291292,plain,
! [X0: $i,X1: $i] : composition(join(composition(X0,X1),iPr_def_10),sK1) = join(composition(X0,composition(X1,sK1)),iPr_def_11),
inference(superposition,[status(thm)],[c_99,c_290911]) ).
tcf(c_291306,plain,
! [X0: $i,X1: $i] : composition(join(iPr_def_10,composition(X0,X1)),sK1) = join(iPr_def_11,composition(X0,composition(X1,sK1))),
inference(theory_normalisation,[status(thm)],[c_291292,c_52,c_53]) ).
tcf(c_291312,plain,
! [X0: $i] : composition(iPr_def_10,composition(iPr_def_13,X0)) = composition(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_291175,c_57]) ).
tcf(c_291356,plain,
! [X0: $i,X1: $i] : composition(join(X0,composition(X1,sK0)),sK1) = join(composition(X0,sK1),composition(X1,iPr_def_16)),
inference(superposition,[status(thm)],[c_104,c_290912]) ).
tcf(c_291437,plain,
composition(iPr_def_13,converse(iPr_def_13)) = converse(iPr_def_14),
inference(superposition,[status(thm)],[c_102,c_290918]) ).
tcf(c_291452,plain,
converse(iPr_def_14) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_291437,c_102,c_290930]) ).
tcf(c_291771,plain,
! [X0: $i] : composition(converse(iPr_def_12),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_290923,c_290934]) ).
tcf(c_291822,plain,
! [X0: $i] : composition(converse(iPr_def_12),X0) = X0,
inference(light_normalisation,[status(thm)],[c_291771,c_59]) ).
tcf(c_291876,plain,
! [X0: $i] : composition(converse(iPr_def_12),X0) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_291822,c_290925]) ).
tcf(c_291882,plain,
! [X0: $i] : composition(iPr_def_12,X0) = X0,
inference(light_normalisation,[status(thm)],[c_291876,c_291822]) ).
tcf(c_292023,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(iPr_def_12,X1),X0),
inference(superposition,[status(thm)],[c_291882,c_55]) ).
tcf(c_292165,plain,
join(iPr_def_11,iPr_def_19) = iPr_def_19,
inference(superposition,[status(thm)],[c_290980,c_290949]) ).
tcf(c_292170,plain,
composition(iPr_def_13,iPr_def_16) = composition(iPr_def_14,sK1),
inference(superposition,[status(thm)],[c_104,c_290950]) ).
tcf(c_292218,plain,
composition(iPr_def_10,converse(iPr_def_14)) = converse(composition(iPr_def_13,iPr_def_16)),
inference(superposition,[status(thm)],[c_292170,c_290913]) ).
tcf(c_292221,plain,
converse(composition(iPr_def_13,iPr_def_16)) = composition(iPr_def_10,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_292218,c_291452]) ).
tcf(c_292286,plain,
composition(iPr_def_10,iPr_def_14) = composition(iPr_def_17,sK0),
inference(demodulation,[status(thm)],[c_292221,c_290982,c_290961]) ).
tcf(c_294348,plain,
! [X0: $i] : composition(iPr_def_10,composition(iPr_def_14,X0)) = composition(iPr_def_17,composition(sK0,X0)),
inference(superposition,[status(thm)],[c_290950,c_291312]) ).
tcf(c_298909,plain,
! [X0: $i] : composition(join(iPr_def_10,composition(X0,iPr_def_14)),sK1) = join(iPr_def_11,composition(X0,composition(iPr_def_13,iPr_def_16))),
inference(superposition,[status(thm)],[c_292170,c_291306]) ).
tcf(c_299691,plain,
! [X0: $i] : composition(join(X0,composition(iPr_def_17,sK0)),sK1) = join(composition(X0,sK1),iPr_def_18),
inference(superposition,[status(thm)],[c_106,c_291356]) ).
tcf(c_299709,plain,
! [X0: $i] : composition(join(X0,composition(iPr_def_17,sK0)),sK1) = join(iPr_def_18,composition(X0,sK1)),
inference(theory_normalisation,[status(thm)],[c_299691,c_52,c_53]) ).
tcf(c_299710,plain,
! [X0: $i] : composition(join(X0,composition(iPr_def_10,iPr_def_14)),sK1) = join(iPr_def_18,composition(X0,sK1)),
inference(light_normalisation,[status(thm)],[c_299709,c_292286]) ).
tcf(c_309465,plain,
composition(join(iPr_def_12,iPr_def_14),sK1) = join(sK1,composition(iPr_def_13,iPr_def_16)),
inference(superposition,[status(thm)],[c_292170,c_292023]) ).
tcf(c_309538,plain,
join(sK1,composition(iPr_def_13,iPr_def_16)) = composition(iPr_def_12,sK1),
inference(light_normalisation,[status(thm)],[c_309465,c_290956]) ).
tcf(c_314365,plain,
join(sK1,composition(iPr_def_13,iPr_def_16)) = sK1,
inference(demodulation,[status(thm)],[c_309538,c_291882]) ).
tcf(c_314369,plain,
join(iPr_def_10,converse(composition(iPr_def_13,iPr_def_16))) = converse(sK1),
inference(superposition,[status(thm)],[c_314365,c_290914]) ).
tcf(c_314372,plain,
join(iPr_def_10,converse(composition(iPr_def_13,iPr_def_16))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_314369,c_290964]) ).
tcf(c_314978,plain,
join(iPr_def_10,composition(iPr_def_10,iPr_def_14)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_314372,c_290982,c_290961,c_292286]) ).
tcf(c_324659,plain,
composition(join(iPr_def_10,composition(iPr_def_17,sK0)),sK1) = join(iPr_def_11,composition(iPr_def_10,composition(iPr_def_14,sK1))),
inference(superposition,[status(thm)],[c_294348,c_291306]) ).
tcf(c_324689,plain,
join(iPr_def_11,composition(iPr_def_10,composition(iPr_def_13,iPr_def_16))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_324659,c_99,c_292170,c_292286,c_314978]) ).
tcf(c_325103,plain,
join(iPr_def_11,iPr_def_18) = iPr_def_11,
inference(demodulation,[status(thm)],[c_324689,c_53,c_99,c_298909,c_299710]) ).
tcf(c_325109,plain,
join(iPr_def_11,iPr_def_19) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_325103,c_291003]) ).
tcf(c_325112,plain,
join(iPr_def_11,iPr_def_12) = join(iPr_def_11,iPr_def_19),
inference(theory_normalisation,[status(thm)],[c_325109,c_52,c_53]) ).
tcf(c_325113,plain,
iPr_def_12 = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_325112,c_290948,c_292165]) ).
tcf(c_325114,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_325113,c_290946]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL031+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n002.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Thu Sep 24 07:29:19 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.50
% 0.17/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.50
% 0.17/0.51 % Detected problem language: tptp
% 0.24/0.53 % Proving...
% 3.81/29.37 % SZS status Started for theBenchmark.p
% 3.81/29.37 % SZS status Theorem for theBenchmark.p
% 3.81/29.37
% 3.81/29.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.81/29.37
% 3.81/29.37 % ------ iProver source info
% 3.81/29.37
% 3.81/29.37 % git: date: 2026-07-19 20:42:38 +0200
% 3.81/29.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.81/29.37 % git: non_committed_changes: false
% 3.81/29.37
% 3.81/29.37 % ------ Parsing...
% 3.81/29.37 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_UEQ
% 3.81/29.37 %
% 3.81/29.37
% 3.81/29.37 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.81/29.37
% 3.81/29.37 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 3.81/29.37 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.81/29.37
% 3.81/29.37 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.81/29.37 % ------ Proving...
% 3.81/29.37 % ------ Problem Properties
% 3.81/29.37
% 3.81/29.37 %
% 3.81/29.37 % clauses 21
% 3.81/29.37 % conjectures 3
% 3.81/29.37 % EPR 3
% 3.81/29.37 % Horn 21
% 3.81/29.37 % unary 21
% 3.81/29.37 % binary 0
% 3.81/29.37 % lits 21
% 3.81/29.37 % lits eq 21
% 3.81/29.37 % fd_pure 0
% 3.81/29.37 % fd_pseudo 0
% 3.81/29.37 % fd_cond 0
% 3.81/29.37 % fd_pseudo_cond 0
% 3.81/29.37 % AC symbols 1
% 3.81/29.37
% 3.81/29.37 % ------ Schedule UEQ
% 3.81/29.37
% 3.81/29.37 % ------ Option_UEQ Time Limit: 10.
% 3.81/29.37
% 3.81/29.37
% 3.81/29.37 % ------
% 3.81/29.37 % Current options:
% 3.81/29.37 % ------
% 3.81/29.37
% 3.81/29.37
% 3.81/29.37 %
% 3.81/29.37
% 3.81/29.37 % ------ Proving...
% 3.81/29.37 % Proof_search_loop: time out after: 1955 full_loop iterations
% 3.81/29.37
% 3.81/29.37 % ------ Option_UEQ Time Limit: 15.
% 3.81/29.37
% 3.81/29.37
% 3.81/29.37 %
% 3.81/29.37
% 3.81/29.37 % ------ Proving...
% 3.81/29.37 % Proof_search_loop: time out after: 3329 full_loop iterations
% 3.81/29.37
% 3.81/29.37 % ------ Option_UEQ1: Age-weight queue Time Limit: 40.
% 3.81/29.37
% 3.81/29.37
% 3.81/29.37 % ------
% 3.81/29.37 % Current options:
% 3.81/29.37 % ------
% 3.81/29.37
% 3.81/29.37
% 3.81/29.37 %
% 3.81/29.37
% 3.81/29.37 % ------ Proving...
% 3.81/29.37 %
% 3.81/29.37
% 3.81/29.37 % SZS status Theorem for theBenchmark.p
% 3.81/29.37
% 3.81/29.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/29.37
% 3.81/29.37
%------------------------------------------------------------------------------