%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB009+3 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 05:16:42 PM UTC 2026
% Result : Theorem 1.44s 1.77s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 79 ( 31 ~; 28 |; 17 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 38 ( 0 sgn 15 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_restrict_somevaluesfrom,axiom,
! [X1,X11,X2] :
( ( iext(uri_owl_someValuesFrom,X1,X2)
& iext(uri_owl_onProperty,X1,X11) )
=> ! [X3] :
( icext(X1,X3)
<=> ? [X10] :
( iext(X11,X3,X10)
& icext(X2,X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_restrict_somevaluesfrom) ).
fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
? [X22] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,X22)
& iext(uri_rdf_type,X22,uri_owl_Restriction)
& iext(uri_owl_onProperty,X22,uri_ex_p)
& iext(uri_owl_someValuesFrom,X22,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
fof(rdfs_cext_def,axiom,
! [X3,X2] :
( iext(uri_rdf_type,X3,X2)
<=> icext(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',rdfs_cext_def) ).
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
? [X21] :
( iext(uri_ex_p,uri_ex_s,X21)
& iext(uri_rdf_type,X21,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
fof(c_0_4,plain,
! [X335,X336,X337,X338,X340,X341] :
( ( iext(X336,X338,esk18_4(X335,X336,X337,X338))
| ~ icext(X335,X338)
| ~ iext(uri_owl_someValuesFrom,X335,X337)
| ~ iext(uri_owl_onProperty,X335,X336) )
& ( icext(X337,esk18_4(X335,X336,X337,X338))
| ~ icext(X335,X338)
| ~ iext(uri_owl_someValuesFrom,X335,X337)
| ~ iext(uri_owl_onProperty,X335,X336) )
& ( ~ iext(X336,X340,X341)
| ~ icext(X337,X341)
| icext(X335,X340)
| ~ iext(uri_owl_someValuesFrom,X335,X337)
| ~ iext(uri_owl_onProperty,X335,X336) ) ),
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_restrict_somevaluesfrom])])])])])]) ).
fof(c_0_5,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,esk19_0)
& iext(uri_rdf_type,esk19_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk19_0,uri_ex_p)
& iext(uri_owl_someValuesFrom,esk19_0,uri_ex_c) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_009_Existential_Restriction_Entailments])]) ).
fof(c_0_6,plain,
! [X343,X344] :
( ( ~ iext(uri_rdf_type,X343,X344)
| icext(X344,X343) )
& ( ~ icext(X344,X343)
| iext(uri_rdf_type,X343,X344) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_7,plain,
( icext(X1,esk18_4(X2,X3,X1,X4))
| ~ icext(X2,X4)
| ~ iext(uri_owl_someValuesFrom,X2,X1)
| ~ iext(uri_owl_onProperty,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
iext(uri_owl_onProperty,esk19_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
iext(uri_rdf_type,uri_ex_s,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( icext(X1,esk18_4(esk19_0,uri_ex_p,X1,X2))
| ~ icext(esk19_0,X2)
| ~ iext(uri_owl_someValuesFrom,esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
icext(esk19_0,uri_ex_s),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( iext(X1,X2,esk18_4(X3,X1,X4,X2))
| ~ icext(X3,X2)
| ~ iext(uri_owl_someValuesFrom,X3,X4)
| ~ iext(uri_owl_onProperty,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_14,negated_conjecture,
~ ? [X21] :
( iext(uri_ex_p,uri_ex_s,X21)
& iext(uri_rdf_type,X21,uri_ex_c) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).
cnf(c_0_15,plain,
( icext(X1,esk18_4(esk19_0,uri_ex_p,X1,uri_ex_s))
| ~ iext(uri_owl_someValuesFrom,esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
iext(uri_owl_someValuesFrom,esk19_0,uri_ex_c),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( iext(uri_ex_p,X1,esk18_4(esk19_0,uri_ex_p,X2,X1))
| ~ icext(esk19_0,X1)
| ~ iext(uri_owl_someValuesFrom,esk19_0,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
fof(c_0_18,negated_conjecture,
! [X379] :
( ~ iext(uri_ex_p,uri_ex_s,X379)
| ~ iext(uri_rdf_type,X379,uri_ex_c) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_19,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
icext(uri_ex_c,esk18_4(esk19_0,uri_ex_p,uri_ex_c,uri_ex_s)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( iext(uri_ex_p,uri_ex_s,esk18_4(esk19_0,uri_ex_p,X1,uri_ex_s))
| ~ iext(uri_owl_someValuesFrom,esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_22,negated_conjecture,
( ~ iext(uri_ex_p,uri_ex_s,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_c) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
iext(uri_rdf_type,esk18_4(esk19_0,uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
iext(uri_ex_p,uri_ex_s,esk18_4(esk19_0,uri_ex_p,uri_ex_c,uri_ex_s)),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWB009+3 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n020.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 04:07:21 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.44/1.77 % Version : CSE_E---1.7
% 1.44/1.77 % Problem : theBenchmark.p
% 1.44/1.77 % SZS status Theorem for theBenchmark.p
% 1.44/1.77 % SZS output start CNFRefutation
% See solution above
% 1.44/1.77 % Total time : 1.372s
%------------------------------------------------------------------------------