%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR118+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 12:14:15 PM UTC 2026
% Result : Theorem 3.99s 2.28s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 11 unt; 2 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 68 ( 31 ~; 28 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [V__X,V__Y] :
( s__subclass(V__X,V__Y)
=> ( s__instance(V__Y,s__SetOrClass)
& s__instance(V__X,s__SetOrClass) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [V__X,V__Y,V__Z] :
( ( s__instance(V__X,s__SetOrClass)
& s__instance(V__Y,s__SetOrClass) )
=> ( ( s__instance(V__Z,V__X)
& s__subclass(V__X,V__Y) )
=> s__instance(V__Z,V__Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32702,axiom,
s__subclass(s__Human,s__Mammal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37982,axiom,
s__instance(s__AbrahamLincoln,s__Human),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37983,conjecture,
s__instance(s__AbrahamLincoln,s__Mammal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37984,negated_conjecture,
~ s__instance(s__AbrahamLincoln,s__Mammal),
inference(negated_conjecture,[status(cth)],[f37983]) ).
fof(f38024,plain,
! [V__X,V__Y] :
( ( s__instance(V__Y,s__SetOrClass)
& s__instance(V__X,s__SetOrClass) )
| ~ s__subclass(V__X,V__Y) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f38025,plain,
! [X0,X1] :
( s__instance(X0,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38024]) ).
fof(f38026,plain,
! [X0,X1] :
( s__instance(X1,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38024]) ).
fof(f38027,plain,
! [V__X,V__Y,V__Z] :
( s__instance(V__Z,V__Y)
| ~ s__instance(V__Z,V__X)
| ~ s__subclass(V__X,V__Y)
| ~ s__instance(V__X,s__SetOrClass)
| ~ s__instance(V__Y,s__SetOrClass) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f38028,plain,
! [V__X,V__Y] :
( ! [V__Z] :
( s__instance(V__Z,V__Y)
| ~ s__instance(V__Z,V__X)
| ~ s__subclass(V__X,V__Y) )
| ~ s__instance(V__X,s__SetOrClass)
| ~ s__instance(V__Y,s__SetOrClass) ),
inference(miniscoping,[status(thm)],[f38027]) ).
fof(f38029,plain,
! [X0,X1,X2] :
( s__instance(X2,X0)
| ~ s__instance(X2,X1)
| ~ s__subclass(X1,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(thm)],[f38028]) ).
fof(f81390,plain,
s__subclass(s__Human,s__Mammal),
inference(cnf_transformation,[status(thm)],[f32702]) ).
fof(f86670,plain,
s__instance(s__AbrahamLincoln,s__Human),
inference(cnf_transformation,[status(thm)],[f37982]) ).
fof(f86671,plain,
~ s__instance(s__AbrahamLincoln,s__Mammal),
inference(cnf_transformation,[status(thm)],[f37984]) ).
fof(f87806,definition,
( sQ245_spl
<=> s__instance(s__Human,s__SetOrClass) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f87808,plain,
( sQ245_spl
| ~ s__instance(s__Human,s__SetOrClass) ),
inference(component_clause,[status(thm)],[f87806]) ).
fof(f87953,plain,
s__instance(s__Human,s__SetOrClass),
inference(resolution,[status(thm)],[f38025,f81390]) ).
fof(f87989,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__instance(X2,X0)
| ~ s__subclass(X0,X1)
| ~ s__instance(X0,s__SetOrClass) ),
inference(forward_subsumption_resolution,[status(thm)],[f38029,f38026]) ).
fof(f88296,plain,
! [X0] :
( s__instance(X0,s__Mammal)
| ~ s__instance(X0,s__Human)
| ~ s__instance(s__Human,s__SetOrClass) ),
inference(resolution,[status(thm)],[f81390,f87989]) ).
fof(f88307,definition,
! [X0] :
( sQ329_spl
<=> ( s__instance(X0,s__Mammal)
| ~ s__instance(X0,s__Human) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f88308,plain,
! [X0] :
( ~ sQ329_spl
| s__instance(X0,s__Mammal)
| ~ s__instance(X0,s__Human) ),
inference(component_clause,[status(thm)],[f88307]) ).
fof(f88310,plain,
( sQ329_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f88296,f87806,f88307]) ).
fof(f89764,plain,
( sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f87808,f87953]) ).
fof(f89765,plain,
sQ245_spl,
inference(contradiction_clause,[status(thm)],[f89764]) ).
fof(f92482,plain,
( ~ sQ329_spl
| ~ s__instance(s__AbrahamLincoln,s__Human) ),
inference(resolution,[status(thm)],[f88308,f86671]) ).
fof(f92491,plain,
( ~ sQ329_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f92482,f86670]) ).
fof(f92492,plain,
~ sQ329_spl,
inference(contradiction_clause,[status(thm)],[f92491]) ).
fof(f92493,plain,
$false,
inference(sat_refutation,[status(thm)],[f88310,f89765,f92492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR118+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n007.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 15:08:50 UTC 2026
% 0.17/0.45 % CPUTime :
% 1.42/1.78 % Drodi V4.1.1
% 3.99/2.28 % Refutation found
% 3.99/2.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.99/2.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.67/2.98 % Elapsed time: 2.464116 seconds
% 1.67/2.98 % CPU time: 5.715280 seconds
% 1.67/2.98 % Total memory used: 1.726 GB
% 1.67/2.98 % Net memory used: 1.719 GB
%------------------------------------------------------------------------------