%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB086+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:17:34 PM UTC 2026
% Result : Theorem 8.28s 5.67s
% Output : CNFRefutation 8.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 129 ( 51 ~; 52 |; 18 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 61 ( 3 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_restrict_hasself,axiom,
! [X11,X2,X31] :
( ( iext(uri_owl_hasSelf,X11,X31)
& iext(uri_owl_onProperty,X11,X2) )
=> ! [X4] :
( icext(X11,X4)
<=> iext(X2,X4,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_restrict_hasself) ).
fof(premise_rdfbased_sem_restrict_hasself_cmp_prop,axiom,
( iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2)
& iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1)
& iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_hasself_cmp_prop) ).
fof(rdfs_subpropertyof_main,axiom,
! [X2,X9] :
( iext(uri_rdfs_subPropertyOf,X2,X9)
=> ( ip(X2)
& ip(X9)
& ! [X4,X7] :
( iext(X2,X4,X7)
=> iext(X9,X4,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_subpropertyof_main) ).
fof(owl_prop_hasself_ext,axiom,
! [X4,X7] :
( iext(uri_owl_hasSelf,X4,X7)
=> ( icext(uri_owl_Restriction,X4)
& ir(X7) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_hasself_ext) ).
fof(owl_class_restriction_ext,axiom,
! [X4] :
( icext(uri_owl_Restriction,X4)
=> ic(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_restriction_ext) ).
fof(owl_rdfsext_subclassof,axiom,
! [X13,X15] :
( iext(uri_rdfs_subClassOf,X13,X15)
<=> ( ic(X13)
& ic(X15)
& ! [X4] :
( icext(X13,X4)
=> icext(X15,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).
fof(conclusion_rdfbased_sem_restrict_hasself_cmp_prop,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_hasself_cmp_prop) ).
fof(c_0_7,plain,
! [X1504,X1505,X1506,X1507] :
( ( ~ icext(X1504,X1507)
| iext(X1505,X1507,X1507)
| ~ iext(uri_owl_hasSelf,X1504,X1506)
| ~ iext(uri_owl_onProperty,X1504,X1505) )
& ( ~ iext(X1505,X1507,X1507)
| icext(X1504,X1507)
| ~ iext(uri_owl_hasSelf,X1504,X1506)
| ~ iext(uri_owl_onProperty,X1504,X1505) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_hasself])])])]) ).
cnf(c_0_8,plain,
( icext(X3,X2)
| ~ iext(X1,X2,X2)
| ~ iext(uri_owl_hasSelf,X3,X4)
| ~ iext(uri_owl_onProperty,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_9,plain,
iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).
fof(c_0_10,plain,
! [X1044,X1045,X1046,X1047] :
( ( ip(X1044)
| ~ iext(uri_rdfs_subPropertyOf,X1044,X1045) )
& ( ip(X1045)
| ~ iext(uri_rdfs_subPropertyOf,X1044,X1045) )
& ( ~ iext(X1044,X1046,X1047)
| iext(X1045,X1046,X1047)
| ~ iext(uri_rdfs_subPropertyOf,X1044,X1045) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_main])])])]) ).
fof(c_0_11,plain,
! [X1157,X1158] :
( ( icext(uri_owl_Restriction,X1157)
| ~ iext(uri_owl_hasSelf,X1157,X1158) )
& ( ir(X1158)
| ~ iext(uri_owl_hasSelf,X1157,X1158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_hasself_ext])])]) ).
cnf(c_0_12,plain,
( icext(uri_ex_x2,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X2)
| ~ iext(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).
cnf(c_0_14,plain,
( iext(X4,X2,X3)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdfs_subPropertyOf,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).
cnf(c_0_16,plain,
( iext(X3,X2,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_hasSelf,X1,X4)
| ~ iext(uri_owl_onProperty,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).
fof(c_0_18,plain,
! [X1113] :
( ~ icext(uri_owl_Restriction,X1113)
| ic(X1113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_restriction_ext])]) ).
cnf(c_0_19,plain,
( icext(uri_owl_Restriction,X1)
| ~ iext(uri_owl_hasSelf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
( icext(uri_ex_x2,X1)
| ~ iext(uri_ex_p2,X1,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
( iext(uri_ex_p2,X1,X2)
| ~ iext(uri_ex_p1,X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
( iext(X1,X2,X2)
| ~ icext(uri_ex_x1,X2)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).
fof(c_0_24,plain,
! [X1740,X1741,X1742,X1743,X1744] :
( ( ic(X1740)
| ~ iext(uri_rdfs_subClassOf,X1740,X1741) )
& ( ic(X1741)
| ~ iext(uri_rdfs_subClassOf,X1740,X1741) )
& ( ~ icext(X1740,X1742)
| icext(X1741,X1742)
| ~ iext(uri_rdfs_subClassOf,X1740,X1741) )
& ( icext(X1743,esk109_2(X1743,X1744))
| ~ ic(X1743)
| ~ ic(X1744)
| iext(uri_rdfs_subClassOf,X1743,X1744) )
& ( ~ icext(X1744,esk109_2(X1743,X1744))
| ~ ic(X1743)
| ~ ic(X1744)
| iext(uri_rdfs_subClassOf,X1743,X1744) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof])])])])])]) ).
cnf(c_0_25,plain,
( ic(X1)
| ~ icext(uri_owl_Restriction,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
icext(uri_owl_Restriction,uri_ex_x2),
inference(spm,[status(thm)],[c_0_19,c_0_9]) ).
cnf(c_0_27,plain,
( icext(uri_ex_x2,X1)
| ~ iext(uri_ex_p1,X1,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
( iext(uri_ex_p1,X1,X1)
| ~ icext(uri_ex_x1,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
( icext(X1,esk109_2(X1,X2))
| iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
ic(uri_ex_x2),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
icext(uri_owl_Restriction,uri_ex_x1),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
fof(c_0_32,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_hasself_cmp_prop])]) ).
cnf(c_0_33,plain,
( iext(uri_rdfs_subClassOf,X2,X1)
| ~ icext(X1,esk109_2(X2,X1))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( icext(uri_ex_x2,X1)
| ~ icext(uri_ex_x1,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
( icext(X1,esk109_2(X1,uri_ex_x2))
| iext(uri_rdfs_subClassOf,X1,uri_ex_x2)
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
ic(uri_ex_x1),
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( iext(uri_rdfs_subClassOf,X1,uri_ex_x2)
| ~ ic(X1)
| ~ icext(uri_ex_x1,esk109_2(X1,uri_ex_x2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30])]) ).
cnf(c_0_39,plain,
icext(uri_ex_x1,esk109_2(uri_ex_x1,uri_ex_x2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_40,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_36])]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWB086+1 : TPTP v9.2.1. Released v5.2.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.34 % Computer : n003.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 04:12:11 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 8.28/5.67 % Version : CSE_E---1.7
% 8.28/5.67 % Problem : theBenchmark.p
% 8.28/5.67 % SZS status Theorem for theBenchmark.p
% 8.28/5.67 % SZS output start CNFRefutation
% See solution above
% 8.28/5.69 % Total time : 4.482s
%------------------------------------------------------------------------------