%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:11:01 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 82 ( 12 unt; 7 def)
% Number of atoms : 245 ( 31 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 277 ( 114 ~; 123 |; 27 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 122 ( 116 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( B = powerset(A)
<=> ! [C] :
( in(C,B)
<=> subset(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,B)
& in(D,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : subset(set_intersection2(A,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C] :
( ( subset(A,C)
& subset(A,B) )
=> subset(A,set_intersection2(B,C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B,C] :
( ( subset(B,C)
& subset(A,B) )
=> subset(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,conjecture,
! [A,B] : powerset(set_intersection2(A,B)) = set_intersection2(powerset(A),powerset(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ ! [A,B] : powerset(set_intersection2(A,B)) = set_intersection2(powerset(A),powerset(B)),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f17,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
! [A,B] :
( ( ? [C] :
( ( subset(C,A)
| in(C,B) )
& ( ~ subset(C,A)
| ~ in(C,B) ) )
| B = powerset(A) )
& ( ! [C] :
( ( ~ subset(C,A)
| in(C,B) )
& ( subset(C,A)
| ~ in(C,B) ) )
| B != powerset(A) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
( ! [A,B] :
( ? [C] :
( ( subset(C,A)
| in(C,B) )
& ( ~ subset(C,A)
| ~ in(C,B) ) )
| B = powerset(A) )
& ! [A,B] :
( ( ! [C] :
( ~ subset(C,A)
| in(C,B) )
& ! [C] :
( subset(C,A)
| ~ in(C,B) ) )
| B != powerset(A) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f20,plain,
( ! [A,B] :
( ( ( subset(sK0_skl(B,A),A)
| in(sK0_skl(B,A),B) )
& ( ~ subset(sK0_skl(B,A),A)
| ~ in(sK0_skl(B,A),B) ) )
| B = powerset(A) )
& ! [A,B] :
( ( ! [C] :
( ~ subset(C,A)
| in(C,B) )
& ! [C] :
( subset(C,A)
| ~ in(C,B) ) )
| B != powerset(A) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( subset(X2,X1)
| ~ in(X2,X0)
| X0 != powerset(X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ subset(X2,X1)
| in(X2,X0)
| X0 != powerset(X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f23,plain,
! [X0,X1] :
( ~ subset(sK0_skl(X0,X1),X1)
| ~ in(sK0_skl(X0,X1),X0)
| X0 = powerset(X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f24,plain,
! [X0,X1] :
( subset(sK0_skl(X0,X1),X1)
| in(sK0_skl(X0,X1),X0)
| X0 = powerset(X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f25,plain,
! [A,B,C] :
( ( ? [D] :
( ( ( in(D,B)
& in(D,A) )
| in(D,C) )
& ( ~ in(D,B)
| ~ in(D,A)
| ~ in(D,C) ) )
| C = set_intersection2(A,B) )
& ( ! [D] :
( ( ~ in(D,B)
| ~ in(D,A)
| in(D,C) )
& ( ( in(D,B)
& in(D,A) )
| ~ in(D,C) ) )
| C != set_intersection2(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
( ! [A,B,C] :
( ? [D] :
( ( ( in(D,B)
& in(D,A) )
| in(D,C) )
& ( ~ in(D,B)
| ~ in(D,A)
| ~ in(D,C) ) )
| C = set_intersection2(A,B) )
& ! [A,B,C] :
( ( ! [D] :
( ~ in(D,B)
| ~ in(D,A)
| in(D,C) )
& ! [D] :
( ( in(D,B)
& in(D,A) )
| ~ in(D,C) ) )
| C != set_intersection2(A,B) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f27,plain,
( ! [A,B,C] :
( ( ( ( in(sK1_skl(C,B,A),B)
& in(sK1_skl(C,B,A),A) )
| in(sK1_skl(C,B,A),C) )
& ( ~ in(sK1_skl(C,B,A),B)
| ~ in(sK1_skl(C,B,A),A)
| ~ in(sK1_skl(C,B,A),C) ) )
| C = set_intersection2(A,B) )
& ! [A,B,C] :
( ( ! [D] :
( ~ in(D,B)
| ~ in(D,A)
| in(D,C) )
& ! [D] :
( ( in(D,B)
& in(D,A) )
| ~ in(D,C) ) )
| C != set_intersection2(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f26]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( in(X3,X1)
| ~ in(X3,X0)
| X0 != set_intersection2(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( in(X3,X2)
| ~ in(X3,X0)
| X0 != set_intersection2(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ~ in(X3,X2)
| ~ in(X3,X1)
| in(X3,X0)
| X0 != set_intersection2(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f42,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f43,plain,
! [A,B,C] :
( subset(A,set_intersection2(B,C))
| ~ subset(A,C)
| ~ subset(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f44,plain,
! [X0,X1,X2] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [A,B,C] :
( subset(A,C)
| ~ subset(B,C)
| ~ subset(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f46,plain,
! [A,C] :
( subset(A,C)
| ! [B] :
( ~ subset(B,C)
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f53,plain,
? [A,B] : powerset(set_intersection2(A,B)) != set_intersection2(powerset(A),powerset(B)),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f54,plain,
powerset(set_intersection2(sK5_skl,sK6_skl)) != set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl]),skolemize(A,sK5_skl),skolemize(B,sK6_skl)],[f53]) ).
fof(f55,plain,
powerset(set_intersection2(sK5_skl,sK6_skl)) != set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(X0,powerset(X1)) ),
inference(destructive_equality_resolution,[status(thm)],[f21]) ).
fof(f57,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| in(X0,powerset(X1)) ),
inference(destructive_equality_resolution,[status(thm)],[f22]) ).
fof(f58,plain,
! [X0,X1,X2] :
( in(X0,X1)
| ~ in(X0,set_intersection2(X1,X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f28]) ).
fof(f59,plain,
! [X0,X1,X2] :
( in(X0,X2)
| ~ in(X0,set_intersection2(X1,X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f29]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ in(X0,X2)
| ~ in(X0,X1)
| in(X0,set_intersection2(X1,X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f30]) ).
fof(f71,plain,
( ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(sK5_skl,sK6_skl))
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(powerset(sK5_skl),powerset(sK6_skl))) ),
inference(resolution,[status(thm)],[f23,f55]) ).
fof(f72,definition,
( sQ0_spl
<=> in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(powerset(sK5_skl),powerset(sK6_skl))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( ~ sQ0_spl
| in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(powerset(sK5_skl),powerset(sK6_skl))) ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f74,plain,
( sQ0_spl
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(powerset(sK5_skl),powerset(sK6_skl))) ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,definition,
( sQ1_spl
<=> subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(sK5_skl,sK6_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( ~ sQ1_spl
| subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(sK5_skl,sK6_skl)) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f77,plain,
( sQ1_spl
| ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(sK5_skl,sK6_skl)) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f71,f72,f75]) ).
fof(f97,plain,
( sQ0_spl
| subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(sK5_skl,sK6_skl))
| set_intersection2(powerset(sK5_skl),powerset(sK6_skl)) = powerset(set_intersection2(sK5_skl,sK6_skl)) ),
inference(resolution,[status(thm)],[f74,f24]) ).
fof(f100,definition,
( sQ2_spl
<=> set_intersection2(powerset(sK5_skl),powerset(sK6_skl)) = powerset(set_intersection2(sK5_skl,sK6_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ2_spl
| set_intersection2(powerset(sK5_skl),powerset(sK6_skl)) = powerset(set_intersection2(sK5_skl,sK6_skl)) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( sQ0_spl
| sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f97,f100,f75,f72]) ).
fof(f104,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f55]) ).
fof(f105,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f104]) ).
fof(f656,plain,
( sQ0_spl
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),powerset(sK6_skl))
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),powerset(sK5_skl)) ),
inference(resolution,[status(thm)],[f60,f74]) ).
fof(f765,definition,
( sQ23_spl
<=> in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),powerset(sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( sQ23_spl
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),powerset(sK5_skl)) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ24_spl
<=> in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),powerset(sK6_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( sQ24_spl
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),powerset(sK6_skl)) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( sQ0_spl
| ~ sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f656,f765,f768,f72]) ).
fof(f801,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X1),
inference(paramodulation,[status(thm)],[f17,f42]) ).
fof(f845,plain,
( sQ1_spl
| ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),sK6_skl)
| ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),sK5_skl) ),
inference(resolution,[status(thm)],[f77,f44]) ).
fof(f852,definition,
( sQ30_spl
<=> subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( sQ30_spl
| ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),sK5_skl) ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
( sQ31_spl
<=> subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( sQ31_spl
| ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),sK6_skl) ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,plain,
( sQ1_spl
| ~ sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f845,f852,f855,f75]) ).
fof(f860,plain,
( sQ30_spl
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),powerset(sK5_skl)) ),
inference(resolution,[status(thm)],[f854,f56]) ).
fof(f876,plain,
! [X0] :
( sQ30_spl
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(powerset(sK5_skl),X0)) ),
inference(resolution,[status(thm)],[f860,f58]) ).
fof(f877,plain,
( ~ sQ0_spl
| sQ30_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f73,f876]) ).
fof(f878,plain,
( ~ sQ0_spl
| sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f877]) ).
fof(f880,plain,
( sQ31_spl
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),powerset(sK6_skl)) ),
inference(resolution,[status(thm)],[f857,f56]) ).
fof(f886,plain,
! [X0] :
( sQ31_spl
| ~ in(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),set_intersection2(X0,powerset(sK6_skl))) ),
inference(resolution,[status(thm)],[f880,f59]) ).
fof(f888,plain,
( ~ sQ0_spl
| sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f73,f886]) ).
fof(f889,plain,
( ~ sQ0_spl
| sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f888]) ).
fof(f899,plain,
( sQ23_spl
| ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),sK5_skl) ),
inference(resolution,[status(thm)],[f767,f57]) ).
fof(f940,plain,
! [X0] :
( sQ23_spl
| ~ subset(X0,sK5_skl)
| ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),X0) ),
inference(resolution,[status(thm)],[f899,f47]) ).
fof(f946,plain,
( ~ sQ1_spl
| sQ23_spl
| ~ subset(set_intersection2(sK5_skl,sK6_skl),sK5_skl) ),
inference(resolution,[status(thm)],[f940,f76]) ).
fof(f952,plain,
( ~ sQ1_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f42]) ).
fof(f953,plain,
( ~ sQ1_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f952]) ).
fof(f954,plain,
( sQ24_spl
| ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),sK6_skl) ),
inference(resolution,[status(thm)],[f770,f57]) ).
fof(f957,plain,
! [X0] :
( sQ24_spl
| ~ subset(X0,sK6_skl)
| ~ subset(sK0_skl(set_intersection2(powerset(sK5_skl),powerset(sK6_skl)),set_intersection2(sK5_skl,sK6_skl)),X0) ),
inference(resolution,[status(thm)],[f954,f47]) ).
fof(f963,plain,
( ~ sQ1_spl
| sQ24_spl
| ~ subset(set_intersection2(sK5_skl,sK6_skl),sK6_skl) ),
inference(resolution,[status(thm)],[f957,f76]) ).
fof(f969,plain,
( ~ sQ1_spl
| sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f963,f801]) ).
fof(f970,plain,
( ~ sQ1_spl
| sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f969]) ).
fof(f971,plain,
$false,
inference(sat_refutation,[status(thm)],[f78,f103,f105,f771,f858,f878,f889,f953,f970]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n004.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 05:43:50 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.065451 seconds
% 0.11/0.42 % CPU time: 0.269476 seconds
% 0.11/0.42 % Total memory used: 101.258 MB
% 0.11/0.42 % Net memory used: 100.785 MB
%------------------------------------------------------------------------------