%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB067+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 : n031.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 05:17:30 PM UTC 2026
% Result : Theorem 78.68s 47.63s
% Output : CNFRefutation 78.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 202 ( 78 ~; 87 |; 27 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 97 ( 4 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_rdfsext_subpropertyof,axiom,
! [X33,X34] :
( iext(uri_rdfs_subPropertyOf,X33,X34)
<=> ( ip(X33)
& ip(X34)
& ! [X4,X7] :
( iext(X33,X4,X7)
=> iext(X34,X4,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subpropertyof) ).
fof(simple_iext_property,axiom,
! [X1,X2,X3] :
( iext(X2,X1,X3)
=> ip(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).
fof(owl_inv,axiom,
! [X33,X34] :
( iext(uri_owl_inverseOf,X33,X34)
<=> ( ip(X33)
& ip(X34)
& ! [X4,X7] :
( iext(X33,X4,X7)
<=> iext(X34,X7,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_inv) ).
fof(owl_prop_inverseof_ext,axiom,
! [X4,X7] :
( iext(uri_owl_inverseOf,X4,X7)
=> ( ip(X4)
& ip(X7) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_inverseof_ext) ).
fof(premise_rdfbased_sem_inv_trans,axiom,
( iext(uri_owl_inverseOf,uri_ex_p3,uri_ex_p2)
& iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_inv_trans) ).
fof(owl_eqdis_equivalentproperty,axiom,
! [X33,X34] :
( iext(uri_owl_equivalentProperty,X33,X34)
<=> ( ip(X33)
& ip(X34)
& ! [X4,X7] :
( iext(X33,X4,X7)
<=> iext(X34,X4,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_equivalentproperty) ).
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(conclusion_rdfbased_sem_inv_trans,conjecture,
iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_inv_trans) ).
fof(c_0_8,plain,
! [X1746,X1747,X1748,X1749,X1750,X1751] :
( ( ip(X1746)
| ~ iext(uri_rdfs_subPropertyOf,X1746,X1747) )
& ( ip(X1747)
| ~ iext(uri_rdfs_subPropertyOf,X1746,X1747) )
& ( ~ iext(X1746,X1748,X1749)
| iext(X1747,X1748,X1749)
| ~ iext(uri_rdfs_subPropertyOf,X1746,X1747) )
& ( iext(X1750,esk110_2(X1750,X1751),esk111_2(X1750,X1751))
| ~ ip(X1750)
| ~ ip(X1751)
| iext(uri_rdfs_subPropertyOf,X1750,X1751) )
& ( ~ iext(X1751,esk110_2(X1750,X1751),esk111_2(X1750,X1751))
| ~ ip(X1750)
| ~ ip(X1751)
| iext(uri_rdfs_subPropertyOf,X1750,X1751) ) ),
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_subpropertyof])])])])])]) ).
fof(c_0_9,plain,
! [X1015,X1016,X1017] :
( ~ iext(X1016,X1015,X1017)
| ip(X1016) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])]) ).
fof(c_0_10,plain,
! [X1987,X1988,X1989,X1990,X1991,X1992,X1993,X1994] :
( ( ip(X1987)
| ~ iext(uri_owl_inverseOf,X1987,X1988) )
& ( ip(X1988)
| ~ iext(uri_owl_inverseOf,X1987,X1988) )
& ( ~ iext(X1987,X1989,X1990)
| iext(X1988,X1990,X1989)
| ~ iext(uri_owl_inverseOf,X1987,X1988) )
& ( ~ iext(X1988,X1992,X1991)
| iext(X1987,X1991,X1992)
| ~ iext(uri_owl_inverseOf,X1987,X1988) )
& ( ~ iext(X1993,esk159_2(X1993,X1994),esk160_2(X1993,X1994))
| ~ iext(X1994,esk160_2(X1993,X1994),esk159_2(X1993,X1994))
| ~ ip(X1993)
| ~ ip(X1994)
| iext(uri_owl_inverseOf,X1993,X1994) )
& ( iext(X1993,esk159_2(X1993,X1994),esk160_2(X1993,X1994))
| iext(X1994,esk160_2(X1993,X1994),esk159_2(X1993,X1994))
| ~ ip(X1993)
| ~ ip(X1994)
| iext(uri_owl_inverseOf,X1993,X1994) ) ),
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_inv])])])])])]) ).
fof(c_0_11,plain,
! [X1167,X1168] :
( ( ip(X1167)
| ~ iext(uri_owl_inverseOf,X1167,X1168) )
& ( ip(X1168)
| ~ iext(uri_owl_inverseOf,X1167,X1168) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_inverseof_ext])])]) ).
cnf(c_0_12,plain,
( iext(uri_rdfs_subPropertyOf,X2,X1)
| ~ iext(X1,esk110_2(X2,X1),esk111_2(X2,X1))
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( ip(X1)
| ~ iext(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_inv_trans]) ).
cnf(c_0_16,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ iext(X2,esk110_2(X1,X2),esk111_2(X1,X2)) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( iext(uri_ex_p1,X1,X2)
| ~ iext(uri_ex_p2,X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
iext(uri_owl_inverseOf,uri_ex_p3,uri_ex_p2),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_inv_trans]) ).
cnf(c_0_20,plain,
( iext(X1,esk110_2(X1,X2),esk111_2(X1,X2))
| iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
ip(uri_ex_p1),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_22,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( iext(uri_rdfs_subPropertyOf,X1,uri_ex_p1)
| ~ ip(X1)
| ~ iext(uri_ex_p2,esk111_2(X1,uri_ex_p1),esk110_2(X1,uri_ex_p1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( iext(uri_ex_p2,X1,X2)
| ~ iext(uri_ex_p3,X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_25,plain,
( iext(X1,esk110_2(X1,uri_ex_p1),esk111_2(X1,uri_ex_p1))
| iext(uri_rdfs_subPropertyOf,X1,uri_ex_p1)
| ~ ip(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
ip(uri_ex_p3),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
fof(c_0_27,plain,
! [X1794,X1795,X1796,X1797,X1798,X1799,X1800,X1801] :
( ( ip(X1794)
| ~ iext(uri_owl_equivalentProperty,X1794,X1795) )
& ( ip(X1795)
| ~ iext(uri_owl_equivalentProperty,X1794,X1795) )
& ( ~ iext(X1794,X1796,X1797)
| iext(X1795,X1796,X1797)
| ~ iext(uri_owl_equivalentProperty,X1794,X1795) )
& ( ~ iext(X1795,X1798,X1799)
| iext(X1794,X1798,X1799)
| ~ iext(uri_owl_equivalentProperty,X1794,X1795) )
& ( ~ iext(X1800,esk117_2(X1800,X1801),esk118_2(X1800,X1801))
| ~ iext(X1801,esk117_2(X1800,X1801),esk118_2(X1800,X1801))
| ~ ip(X1800)
| ~ ip(X1801)
| iext(uri_owl_equivalentProperty,X1800,X1801) )
& ( iext(X1800,esk117_2(X1800,X1801),esk118_2(X1800,X1801))
| iext(X1801,esk117_2(X1800,X1801),esk118_2(X1800,X1801))
| ~ ip(X1800)
| ~ ip(X1801)
| iext(uri_owl_equivalentProperty,X1800,X1801) ) ),
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_eqdis_equivalentproperty])])])])])]) ).
fof(c_0_28,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])])])]) ).
cnf(c_0_29,plain,
( iext(uri_rdfs_subPropertyOf,X1,uri_ex_p1)
| ~ ip(X1)
| ~ iext(uri_ex_p3,esk110_2(X1,uri_ex_p1),esk111_2(X1,uri_ex_p1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( iext(uri_ex_p3,esk110_2(uri_ex_p3,uri_ex_p1),esk111_2(uri_ex_p3,uri_ex_p1))
| iext(uri_rdfs_subPropertyOf,uri_ex_p3,uri_ex_p1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( iext(X1,esk117_2(X1,X2),esk118_2(X1,X2))
| iext(X2,esk117_2(X1,X2),esk118_2(X1,X2))
| iext(uri_owl_equivalentProperty,X1,X2)
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,negated_conjecture,
~ iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_inv_trans])]) ).
cnf(c_0_33,plain,
( iext(X4,X2,X3)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdfs_subPropertyOf,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_p3,uri_ex_p1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_26])]) ).
cnf(c_0_35,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_36,plain,
( iext(uri_ex_p1,esk117_2(X1,uri_ex_p1),esk118_2(X1,uri_ex_p1))
| iext(X1,esk117_2(X1,uri_ex_p1),esk118_2(X1,uri_ex_p1))
| iext(uri_owl_equivalentProperty,X1,uri_ex_p1)
| ~ ip(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_37,negated_conjecture,
~ iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( iext(uri_ex_p1,X1,X2)
| ~ iext(uri_ex_p3,X1,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( iext(uri_owl_equivalentProperty,X1,X2)
| ~ iext(X1,esk117_2(X1,X2),esk118_2(X1,X2))
| ~ iext(X2,esk117_2(X1,X2),esk118_2(X1,X2))
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( iext(uri_ex_p2,X1,X2)
| ~ iext(uri_ex_p1,X2,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_15]) ).
cnf(c_0_41,plain,
iext(uri_ex_p1,esk117_2(uri_ex_p3,uri_ex_p1),esk118_2(uri_ex_p3,uri_ex_p1)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_37]),c_0_38]) ).
cnf(c_0_42,plain,
( iext(uri_owl_equivalentProperty,X1,X2)
| ~ iext(X2,esk117_2(X1,X2),esk118_2(X1,X2))
| ~ iext(X1,esk117_2(X1,X2),esk118_2(X1,X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_39,c_0_13]),c_0_13]) ).
cnf(c_0_43,plain,
( iext(uri_ex_p3,X1,X2)
| ~ iext(uri_ex_p2,X2,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_19]) ).
cnf(c_0_44,plain,
iext(uri_ex_p2,esk118_2(uri_ex_p3,uri_ex_p1),esk117_2(uri_ex_p3,uri_ex_p1)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
~ iext(uri_ex_p3,esk117_2(uri_ex_p3,uri_ex_p1),esk118_2(uri_ex_p3,uri_ex_p1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_37]) ).
cnf(c_0_46,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB067+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n031.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:13:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 78.68/47.63 % Version : CSE_E---1.7
% 78.68/47.63 % Problem : theBenchmark.p
% 78.68/47.63 % SZS status Theorem for theBenchmark.p
% 78.68/47.63 % SZS output start CNFRefutation
% See solution above
% 78.89/47.89 % Total time : 37.610s
%------------------------------------------------------------------------------