%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB047+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 : n007.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 05:17:26 PM UTC 2026
% Result : Theorem 4.05s 3.25s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 123 ( 11 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 138 ( 51 ~; 56 |; 23 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 61 ( 1 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(conclusion_rdfbased_sem_char_inversefunc_term,conjecture,
iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_inversefunc_term) ).
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
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_char_inversefunctional,axiom,
! [X2] :
( icext(uri_owl_InverseFunctionalProperty,X2)
<=> ( ip(X2)
& ! [X37,X38,X7] :
( ( iext(X2,X37,X7)
& iext(X2,X38,X7) )
=> X37 = X38 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_inversefunctional) ).
fof(premise_rdfbased_sem_char_inversefunc_term,axiom,
( iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1)
& iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_char_inversefunc_term) ).
fof(owl_char_functional,axiom,
! [X2] :
( icext(uri_owl_FunctionalProperty,X2)
<=> ( ip(X2)
& ! [X4,X27,X28] :
( ( iext(X2,X4,X27)
& iext(X2,X4,X28) )
=> X27 = X28 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_functional) ).
fof(c_0_7,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])])]) ).
fof(c_0_8,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_char_inversefunc_term])]) ).
fof(c_0_9,plain,
! [X1021,X1022] :
( ( ~ iext(uri_rdf_type,X1021,X1022)
| icext(X1022,X1021) )
& ( ~ icext(X1022,X1021)
| iext(uri_rdf_type,X1021,X1022) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
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,
! [X2011,X2012,X2013,X2014,X2015] :
( ( ip(X2011)
| ~ icext(uri_owl_InverseFunctionalProperty,X2011) )
& ( ~ iext(X2011,X2012,X2014)
| ~ iext(X2011,X2013,X2014)
| X2012 = X2013
| ~ icext(uri_owl_InverseFunctionalProperty,X2011) )
& ( iext(X2015,esk166_1(X2015),esk168_1(X2015))
| ~ ip(X2015)
| icext(uri_owl_InverseFunctionalProperty,X2015) )
& ( iext(X2015,esk167_1(X2015),esk168_1(X2015))
| ~ ip(X2015)
| icext(uri_owl_InverseFunctionalProperty,X2015) )
& ( esk166_1(X2015) != esk167_1(X2015)
| ~ ip(X2015)
| icext(uri_owl_InverseFunctionalProperty,X2015) ) ),
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_char_inversefunctional])])])])])]) ).
cnf(c_0_12,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_char_inversefunc_term]) ).
cnf(c_0_14,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
! [X2003,X2004,X2005,X2006,X2007] :
( ( ip(X2003)
| ~ icext(uri_owl_FunctionalProperty,X2003) )
& ( ~ iext(X2003,X2004,X2005)
| ~ iext(X2003,X2004,X2006)
| X2005 = X2006
| ~ icext(uri_owl_FunctionalProperty,X2003) )
& ( iext(X2007,esk163_1(X2007),esk164_1(X2007))
| ~ ip(X2007)
| icext(uri_owl_FunctionalProperty,X2007) )
& ( iext(X2007,esk163_1(X2007),esk165_1(X2007))
| ~ ip(X2007)
| icext(uri_owl_FunctionalProperty,X2007) )
& ( esk164_1(X2007) != esk165_1(X2007)
| ~ ip(X2007)
| icext(uri_owl_FunctionalProperty,X2007) ) ),
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_char_functional])])])])])]) ).
cnf(c_0_17,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_char_inversefunc_term]) ).
cnf(c_0_19,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_20,plain,
( iext(X1,esk166_1(X1),esk168_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
ip(uri_ex_p2),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_22,negated_conjecture,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p2),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,plain,
( X3 = X4
| ~ iext(X1,X2,X3)
| ~ iext(X1,X2,X4)
| ~ icext(uri_owl_FunctionalProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
icext(uri_owl_FunctionalProperty,uri_ex_p1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
( iext(uri_ex_p1,X1,X2)
| ~ iext(uri_ex_p2,X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_26,plain,
iext(uri_ex_p2,esk166_1(uri_ex_p2),esk168_1(uri_ex_p2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_27,plain,
( iext(X1,esk167_1(X1),esk168_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,plain,
( X1 = X2
| ~ iext(uri_ex_p1,X3,X2)
| ~ iext(uri_ex_p1,X3,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
iext(uri_ex_p1,esk168_1(uri_ex_p2),esk166_1(uri_ex_p2)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
iext(uri_ex_p2,esk167_1(uri_ex_p2),esk168_1(uri_ex_p2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_22]) ).
cnf(c_0_31,plain,
( X1 = esk166_1(uri_ex_p2)
| ~ iext(uri_ex_p1,esk168_1(uri_ex_p2),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
iext(uri_ex_p1,esk168_1(uri_ex_p2),esk167_1(uri_ex_p2)),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_33,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| esk166_1(X1) != esk167_1(X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,plain,
esk167_1(uri_ex_p2) = esk166_1(uri_ex_p2),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_21])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB047+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 : n007.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 04:10:54 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 4.05/3.25 % Version : CSE_E---1.7
% 4.05/3.25 % Problem : theBenchmark.p
% 4.05/3.25 % SZS status Theorem for theBenchmark.p
% 4.05/3.25 % SZS output start CNFRefutation
% See solution above
% 4.05/3.26 % Total time : 2.479s
%------------------------------------------------------------------------------