%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB057+1 : 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 : n004.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 05:17:28 PM UTC 2026
% Result : Theorem 1.90s 1.93s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 58 ( 5 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 55 ( 21 ~; 15 |; 13 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 17 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conclusion_rdfbased_sem_eqdis_different_ext,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_different_ext) ).
fof(owl_eqdis_differentfrom,axiom,
! [X4,X7] :
( iext(uri_owl_differentFrom,X4,X7)
<=> X4 != X7 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).
fof(owl_bool_complementof_class,axiom,
! [X11,X5] :
( iext(uri_owl_complementOf,X11,X5)
=> ( ic(X11)
& ic(X5)
& ! [X4] :
( icext(X11,X4)
<=> ~ icext(X5,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_bool_complementof_class) ).
fof(premise_rdfbased_sem_eqdis_different_ext,axiom,
? [X42] :
( iext(uri_rdf_type,uri_ex_u,X42)
& iext(uri_owl_complementOf,X42,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_different_ext) ).
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
fof(c_0_5,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_eqdis_different_ext])]) ).
fof(c_0_6,plain,
! [X1756,X1757] :
( ( ~ iext(uri_owl_differentFrom,X1756,X1757)
| X1756 != X1757 )
& ( X1756 = X1757
| iext(uri_owl_differentFrom,X1756,X1757) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_differentfrom])]) ).
fof(c_0_7,plain,
! [X11,X5] :
( iext(uri_owl_complementOf,X11,X5)
=> ( ic(X11)
& ic(X5)
& ! [X4] :
( icext(X11,X4)
<=> ~ icext(X5,X4) ) ) ),
inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).
fof(c_0_8,plain,
( iext(uri_rdf_type,uri_ex_u,esk192_0)
& iext(uri_owl_complementOf,esk192_0,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_eqdis_different_ext])]) ).
cnf(c_0_9,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( X1 = X2
| iext(uri_owl_differentFrom,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,plain,
! [X1227,X1228,X1229] :
( ( ic(X1227)
| ~ iext(uri_owl_complementOf,X1227,X1228) )
& ( ic(X1228)
| ~ iext(uri_owl_complementOf,X1227,X1228) )
& ( ~ icext(X1227,X1229)
| ~ icext(X1228,X1229)
| ~ iext(uri_owl_complementOf,X1227,X1228) )
& ( icext(X1228,X1229)
| icext(X1227,X1229)
| ~ iext(uri_owl_complementOf,X1227,X1228) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_12,plain,
! [X1023,X1024] :
( ( ~ iext(uri_rdf_type,X1023,X1024)
| icext(X1024,X1023) )
& ( ~ icext(X1024,X1023)
| iext(uri_rdf_type,X1023,X1024) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_13,plain,
iext(uri_rdf_type,uri_ex_u,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
uri_ex_u = uri_ex_w,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_complementOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
iext(uri_owl_complementOf,esk192_0,uri_ex_c),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
iext(uri_rdf_type,uri_ex_w,esk192_0),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,plain,
( ~ icext(uri_ex_c,X1)
| ~ icext(esk192_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
icext(esk192_0,uri_ex_w),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
icext(uri_ex_c,uri_ex_w),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_23,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB057+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n004.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
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 04:11:17 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.90/1.93 % Version : CSE_E---1.7
% 1.90/1.93 % Problem : theBenchmark.p
% 1.90/1.93 % SZS status Theorem for theBenchmark.p
% 1.90/1.93 % SZS output start CNFRefutation
% See solution above
% 1.90/1.94 % Total time : 1.480s
%------------------------------------------------------------------------------