%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB071+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:37:17 PM UTC 2026
% Result : Theorem 43.35s 5.94s
% Output : CNFRefutation 43.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 61 ( 9 unt; 2 def)
% Number of atoms : 203 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 235 ( 93 ~; 99 |; 34 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 123 ( 113 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,P,O] :
( iext(P,S,O)
=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : ir(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f345,axiom,
! [X,Y] :
( iext(uri_owl_differentFrom,X,Y)
<=> X != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f393,axiom,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ! [X,Y1,Y2] :
( ( iext(P,X,Y2)
& iext(P,X,Y1) )
=> Y1 = Y2 )
& ip(P) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f405,axiom,
! [P,A1,A2] :
( ( ~ iext(P,A1,A2)
& ir(A2)
& ip(P)
& ir(A1) )
=> ? [Z] :
( iext(uri_owl_targetIndividual,Z,A2)
& iext(uri_owl_assertionProperty,Z,P)
& iext(uri_owl_sourceIndividual,Z,A1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
? [X0] :
( iext(uri_owl_targetIndividual,X0,uri_ex_o2)
& iext(uri_owl_assertionProperty,X0,uri_ex_p)
& iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ ? [X0] :
( iext(uri_owl_targetIndividual,X0,uri_ex_o2)
& iext(uri_owl_assertionProperty,X0,uri_ex_p)
& iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_differentFrom,uri_ex_o2,uri_ex_o1)
& iext(uri_ex_p,uri_ex_s,uri_ex_o1)
& iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f562,plain,
! [S,P,O] :
( ip(P)
| ~ iext(P,S,O) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f563,plain,
! [P] :
( ip(P)
| ! [S,O] : ~ iext(P,S,O) ),
inference(miniscoping,[status(thm)],[f562]) ).
fof(f564,plain,
! [X0,X1,X2] :
( ip(X0)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f565,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f592,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f593,plain,
( ! [X,C] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ! [X,C] :
( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(miniscoping,[status(thm)],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f1749,plain,
! [X,Y] :
( ( X = Y
| iext(uri_owl_differentFrom,X,Y) )
& ( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f345]) ).
fof(f1750,plain,
( ! [X,Y] :
( X = Y
| iext(uri_owl_differentFrom,X,Y) )
& ! [X,Y] :
( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) ) ),
inference(miniscoping,[status(thm)],[f1749]) ).
fof(f1751,plain,
! [X0,X1] :
( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1750]) ).
fof(f2016,plain,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) )
& ip(P) ) ),
inference(pre_NNF_transformation,[status(thm)],[f393]) ).
fof(f2017,plain,
! [P] :
( ( ? [X,Y1,Y2] :
( Y1 != Y2
& iext(P,X,Y2)
& iext(P,X,Y1) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ( ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(NNF_transformation,[status(thm)],[f2016]) ).
fof(f2018,plain,
( ! [P] :
( ? [Y1,Y2] :
( Y1 != Y2
& ? [X] :
( iext(P,X,Y2)
& iext(P,X,Y1) ) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ! [P] :
( ( ! [Y1,Y2] :
( Y1 = Y2
| ! [X] :
( ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) ) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(miniscoping,[status(thm)],[f2017]) ).
fof(f2019,plain,
( ! [P] :
( ( sK170_skl(P) != sK171_skl(P)
& iext(P,sK172_skl(P),sK171_skl(P))
& iext(P,sK172_skl(P),sK170_skl(P)) )
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ! [P] :
( ( ! [Y1,Y2] :
( Y1 = Y2
| ! [X] :
( ~ iext(P,X,Y2)
| ~ iext(P,X,Y1) ) )
& ip(P) )
| ~ icext(uri_owl_FunctionalProperty,P) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK170_skl,sK171_skl,sK172_skl]),skolemize(Y1,sK170_skl(P)),skolemize(Y2,sK171_skl(P)),skolemize(X,sK172_skl(P))],[f2018]) ).
fof(f2021,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ icext(uri_owl_FunctionalProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f2019]) ).
fof(f2126,plain,
! [P,A1,A2] :
( ? [Z] :
( iext(uri_owl_targetIndividual,Z,A2)
& iext(uri_owl_assertionProperty,Z,P)
& iext(uri_owl_sourceIndividual,Z,A1) )
| iext(P,A1,A2)
| ~ ir(A2)
| ~ ip(P)
| ~ ir(A1) ),
inference(pre_NNF_transformation,[status(thm)],[f405]) ).
fof(f2127,plain,
! [P,A1,A2] :
( ( iext(uri_owl_targetIndividual,sK198_skl(A2,A1,P),A2)
& iext(uri_owl_assertionProperty,sK198_skl(A2,A1,P),P)
& iext(uri_owl_sourceIndividual,sK198_skl(A2,A1,P),A1) )
| iext(P,A1,A2)
| ~ ir(A2)
| ~ ip(P)
| ~ ir(A1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK198_skl]),skolemize(Z,sK198_skl(A2,A1,P))],[f2126]) ).
fof(f2128,plain,
! [X0,X1,X2] :
( iext(uri_owl_sourceIndividual,sK198_skl(X2,X0,X1),X0)
| iext(X1,X0,X2)
| ~ ir(X2)
| ~ ip(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[status(thm)],[f2127]) ).
fof(f2129,plain,
! [X0,X1,X2] :
( iext(uri_owl_assertionProperty,sK198_skl(X2,X0,X1),X1)
| iext(X1,X0,X2)
| ~ ir(X2)
| ~ ip(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[status(thm)],[f2127]) ).
fof(f2130,plain,
! [X0,X1,X2] :
( iext(uri_owl_targetIndividual,sK198_skl(X2,X0,X1),X2)
| iext(X1,X0,X2)
| ~ ir(X2)
| ~ ip(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[status(thm)],[f2127]) ).
fof(f2405,plain,
! [X0] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o2)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
inference(pre_NNF_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
! [X0] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o2)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
inference(cnf_transformation,[status(thm)],[f2405]) ).
fof(f2407,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2408,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o1),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2409,plain,
iext(uri_owl_differentFrom,uri_ex_o2,uri_ex_o1),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2520,plain,
! [X0] : ~ iext(uri_owl_differentFrom,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f1751]) ).
fof(f3463,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_type,X0,uri_owl_FunctionalProperty)
| X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2) ),
inference(resolution,[status(thm)],[f2021,f594]) ).
fof(f3666,plain,
! [X0,X1,X2] :
( iext(uri_owl_sourceIndividual,sK198_skl(X1,X2,X0),X2)
| iext(X0,X2,X1)
| ~ ir(X1)
| ~ ip(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2128,f565]) ).
fof(f3667,plain,
! [X0,X1,X2] :
( iext(uri_owl_assertionProperty,sK198_skl(X1,X2,X0),X0)
| iext(X0,X2,X1)
| ~ ir(X1)
| ~ ip(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2129,f565]) ).
fof(f3668,plain,
! [X0,X1,X2] :
( iext(uri_owl_targetIndividual,sK198_skl(X1,X2,X0),X1)
| iext(X0,X2,X1)
| ~ ir(X1)
| ~ ip(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2130,f565]) ).
fof(f9600,plain,
! [X0,X1,X2] :
( iext(uri_owl_assertionProperty,sK198_skl(X2,X1,X0),X0)
| iext(X0,X1,X2)
| ~ ip(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3667,f565]) ).
fof(f9603,plain,
! [X0,X1,X2] :
( iext(uri_owl_targetIndividual,sK198_skl(X2,X1,X0),X2)
| iext(X0,X1,X2)
| ~ ip(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3668,f565]) ).
fof(f9604,plain,
! [X0,X1,X2] :
( iext(uri_owl_sourceIndividual,sK198_skl(X2,X1,X0),X1)
| iext(X0,X1,X2)
| ~ ip(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3666,f565]) ).
fof(f11920,plain,
! [X0,X1] :
( ~ iext(uri_owl_assertionProperty,sK198_skl(uri_ex_o2,X1,X0),uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,sK198_skl(uri_ex_o2,X1,X0),uri_ex_s)
| iext(X0,X1,uri_ex_o2)
| ~ ip(X0) ),
inference(resolution,[status(thm)],[f9603,f2406]) ).
fof(f11942,plain,
! [X0] :
( ~ iext(uri_owl_assertionProperty,sK198_skl(uri_ex_o2,uri_ex_s,X0),uri_ex_p)
| iext(X0,uri_ex_s,uri_ex_o2)
| ~ ip(X0)
| iext(X0,uri_ex_s,uri_ex_o2)
| ~ ip(X0) ),
inference(resolution,[status(thm)],[f9604,f11920]) ).
fof(f11945,plain,
! [X0] :
( ~ iext(uri_owl_assertionProperty,sK198_skl(uri_ex_o2,uri_ex_s,X0),uri_ex_p)
| iext(X0,uri_ex_s,uri_ex_o2)
| ~ ip(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f11942]) ).
fof(f11978,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o2)
| ~ ip(uri_ex_p)
| iext(uri_ex_p,uri_ex_s,uri_ex_o2)
| ~ ip(uri_ex_p) ),
inference(resolution,[status(thm)],[f11945,f9600]) ).
fof(f11979,definition,
( sQ1075_spl
<=> ip(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[sQ1075_spl])],[split_symbol_definition]) ).
fof(f11981,plain,
( sQ1075_spl
| ~ ip(uri_ex_p) ),
inference(component_clause,[status(thm)],[f11979]) ).
fof(f11982,definition,
( sQ1076_spl
<=> iext(uri_ex_p,uri_ex_s,uri_ex_o2) ),
introduced(definition,[new_symbols(definition,[sQ1076_spl])],[split_symbol_definition]) ).
fof(f11983,plain,
( ~ sQ1076_spl
| iext(uri_ex_p,uri_ex_s,uri_ex_o2) ),
inference(component_clause,[status(thm)],[f11982]) ).
fof(f11985,plain,
( sQ1076_spl
| ~ sQ1075_spl ),
inference(split_clause,[status(thm)],[f11978,f11979,f11982]) ).
fof(f12021,plain,
! [X0,X1] :
( sQ1075_spl
| ~ iext(uri_ex_p,X0,X1) ),
inference(resolution,[status(thm)],[f11981,f564]) ).
fof(f16183,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ iext(uri_ex_p,X0,X2)
| ~ iext(uri_ex_p,X0,X1) ),
inference(resolution,[status(thm)],[f3463,f2407]) ).
fof(f16749,plain,
! [X0] :
( ~ sQ1076_spl
| X0 = uri_ex_o2
| ~ iext(uri_ex_p,uri_ex_s,X0) ),
inference(resolution,[status(thm)],[f16183,f11983]) ).
fof(f17298,plain,
( ~ sQ1076_spl
| uri_ex_o1 = uri_ex_o2 ),
inference(resolution,[status(thm)],[f16749,f2408]) ).
fof(f17299,plain,
( ~ sQ1076_spl
| iext(uri_owl_differentFrom,uri_ex_o2,uri_ex_o2) ),
inference(backward_demodulation,[status(thm)],[f17298,f2409]) ).
fof(f17301,plain,
( ~ sQ1076_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17299,f2520]) ).
fof(f17302,plain,
~ sQ1076_spl,
inference(contradiction_clause,[status(thm)],[f17301]) ).
fof(f17788,plain,
( sQ1075_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2408,f12021]) ).
fof(f17800,plain,
sQ1075_spl,
inference(contradiction_clause,[status(thm)],[f17788]) ).
fof(f17801,plain,
$false,
inference(sat_refutation,[status(thm)],[f11985,f17302,f17800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB071+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 07:44:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.43 % Drodi V4.1.1
% 43.35/5.94 % Refutation found
% 43.35/5.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 43.35/5.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 43.35/6.00 % Elapsed time: 5.600065 seconds
% 43.35/6.00 % CPU time: 43.869791 seconds
% 43.35/6.00 % Total memory used: 343.698 MB
% 43.35/6.00 % Net memory used: 324.951 MB
%------------------------------------------------------------------------------