%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB009+2 : 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 : n013.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 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 90 ( 38 ~; 32 |; 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 : 40 ( 0 sgn 15 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
? [X6] :
( iext(uri_ex_p,uri_ex_s,X6)
& iext(uri_rdf_type,X6,uri_ex_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
fof(owl_restrict_somevaluesfrom,axiom,
! [X3,X4,X2] :
( ( iext(uri_owl_someValuesFrom,X3,X2)
& iext(uri_owl_onProperty,X3,X4) )
=> ! [X1] :
( icext(X3,X1)
<=> ? [X5] :
( iext(X4,X1,X5)
& icext(X2,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
? [X7] :
( 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,X7)
& iext(uri_rdf_type,X7,uri_owl_Restriction)
& iext(uri_owl_onProperty,X7,uri_ex_p)
& iext(uri_owl_someValuesFrom,X7,uri_ex_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
fof(c_0_4,negated_conjecture,
~ ? [X6] :
( iext(uri_ex_p,uri_ex_s,X6)
& iext(uri_rdf_type,X6,uri_ex_c) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).
fof(c_0_5,negated_conjecture,
! [X26] :
( ~ iext(uri_ex_p,uri_ex_s,X26)
| ~ iext(uri_rdf_type,X26,uri_ex_c) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_6,plain,
! [X19,X20,X21,X22,X24,X25] :
( ( iext(X20,X22,esk1_4(X19,X20,X21,X22))
| ~ icext(X19,X22)
| ~ iext(uri_owl_someValuesFrom,X19,X21)
| ~ iext(uri_owl_onProperty,X19,X20) )
& ( icext(X21,esk1_4(X19,X20,X21,X22))
| ~ icext(X19,X22)
| ~ iext(uri_owl_someValuesFrom,X19,X21)
| ~ iext(uri_owl_onProperty,X19,X20) )
& ( ~ iext(X20,X24,X25)
| ~ icext(X21,X25)
| icext(X19,X24)
| ~ iext(uri_owl_someValuesFrom,X19,X21)
| ~ iext(uri_owl_onProperty,X19,X20) ) ),
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_7,plain,
! [X17,X18] :
( ( ~ iext(uri_rdf_type,X17,X18)
| icext(X18,X17) )
& ( ~ icext(X18,X17)
| iext(uri_rdf_type,X17,X18) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_8,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_5]) ).
cnf(c_0_9,plain,
( iext(X1,X2,esk1_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_6]) ).
cnf(c_0_10,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( icext(X1,esk1_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_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ icext(X1,uri_ex_s)
| ~ iext(uri_rdf_type,esk1_4(X1,uri_ex_p,X2,uri_ex_s),uri_ex_c)
| ~ iext(uri_owl_onProperty,X1,uri_ex_p)
| ~ iext(uri_owl_someValuesFrom,X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( iext(uri_rdf_type,esk1_4(X1,X2,X3,X4),X3)
| ~ icext(X1,X4)
| ~ iext(uri_owl_someValuesFrom,X1,X3)
| ~ iext(uri_owl_onProperty,X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( ~ icext(X1,uri_ex_s)
| ~ iext(uri_owl_onProperty,X1,uri_ex_p)
| ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,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,esk2_0)
& iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk2_0,uri_ex_p)
& iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_009_Existential_Restriction_Entailments])]) ).
cnf(c_0_17,negated_conjecture,
( ~ iext(uri_owl_onProperty,X1,uri_ex_p)
| ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
| ~ iext(uri_rdf_type,uri_ex_s,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
iext(uri_owl_onProperty,esk2_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
iext(uri_rdf_type,uri_ex_s,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB009+2 : 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
% 0.16/0.33 % Computer : n013.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:07:11 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Theorem for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------