%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET763+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:10:34 PM UTC 2026
% Result : Theorem 102.01s 23.43s
% Output : CNFRefutation 102.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 10 unt; 3 def)
% Number of atoms : 338 ( 9 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 402 ( 149 ~; 150 |; 83 &)
% ( 13 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-4 aty)
% Number of variables : 269 ( 238 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,A)
=> member(X,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( equal_set(A,B)
<=> ( subset(B,A)
& subset(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : ~ member(X,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,A] :
( member(X,sum(A))
<=> ? [Y] :
( member(X,Y)
& member(Y,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,A] :
( member(X,product(A))
<=> ! [Y] :
( member(Y,A)
=> member(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [F,A,B] :
( maps(F,A,B)
<=> ( ! [X,Y1,Y2] :
( ( member(Y2,B)
& member(Y1,B)
& member(X,A) )
=> ( ( apply(F,X,Y2)
& apply(F,X,Y1) )
=> Y1 = Y2 ) )
& ! [X] :
( member(X,A)
=> ? [Y] :
( apply(F,X,Y)
& member(Y,B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [F,A,Y] :
( member(Y,image2(F,A))
<=> ? [X] :
( apply(F,X,Y)
& member(X,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,conjecture,
! [F,A,B,X] :
( ( equal_set(image2(F,X),empty_set)
& subset(X,A)
& maps(F,A,B) )
=> equal_set(X,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ ! [F,A,B,X] :
( ( equal_set(image2(F,X),empty_set)
& subset(X,A)
& maps(F,A,B) )
=> equal_set(X,empty_set) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,B)
| ~ member(X,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
! [A,B] :
( ( ? [X] :
( ~ member(X,B)
& member(X,A) )
| subset(A,B) )
& ( ! [X] :
( member(X,B)
| ~ member(X,A) )
| ~ subset(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
( ! [A,B] :
( ? [X] :
( ~ member(X,B)
& member(X,A) )
| subset(A,B) )
& ! [A,B] :
( ! [X] :
( member(X,B)
| ~ member(X,A) )
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f34,plain,
( ! [A,B] :
( ( ~ member(sK0_skl(B,A),B)
& member(sK0_skl(B,A),A) )
| subset(A,B) )
& ! [A,B] :
( ! [X] :
( member(X,B)
| ~ member(X,A) )
| ~ subset(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( member(sK0_skl(X1,X0),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f38,plain,
! [A,B] :
( ( ~ subset(B,A)
| ~ subset(A,B)
| equal_set(A,B) )
& ( ( subset(B,A)
& subset(A,B) )
| ~ equal_set(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
( ! [A,B] :
( ~ subset(B,A)
| ~ subset(A,B)
| equal_set(A,B) )
& ! [A,B] :
( ( subset(B,A)
& subset(A,B) )
| ~ equal_set(A,B) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ equal_set(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f42,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f57,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f72,plain,
! [X,A] :
( ( ! [Y] :
( ~ member(X,Y)
| ~ member(Y,A) )
| member(X,sum(A)) )
& ( ? [Y] :
( member(X,Y)
& member(Y,A) )
| ~ member(X,sum(A)) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f73,plain,
( ! [X,A] :
( ! [Y] :
( ~ member(X,Y)
| ~ member(Y,A) )
| member(X,sum(A)) )
& ! [X,A] :
( ? [Y] :
( member(X,Y)
& member(Y,A) )
| ~ member(X,sum(A)) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f74,plain,
( ! [X,A] :
( ! [Y] :
( ~ member(X,Y)
| ~ member(Y,A) )
| member(X,sum(A)) )
& ! [X,A] :
( ( member(X,sK1_skl(A,X))
& member(sK1_skl(A,X),A) )
| ~ member(X,sum(A)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(A,X))],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( member(sK1_skl(X1,X0),X1)
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ member(X0,X2)
| ~ member(X2,X1)
| member(X0,sum(X1)) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f78,plain,
! [X,A] :
( member(X,product(A))
<=> ! [Y] :
( member(X,Y)
| ~ member(Y,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f79,plain,
! [X,A] :
( ( ? [Y] :
( ~ member(X,Y)
& member(Y,A) )
| member(X,product(A)) )
& ( ! [Y] :
( member(X,Y)
| ~ member(Y,A) )
| ~ member(X,product(A)) ) ),
inference(NNF_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
( ! [X,A] :
( ? [Y] :
( ~ member(X,Y)
& member(Y,A) )
| member(X,product(A)) )
& ! [X,A] :
( ! [Y] :
( member(X,Y)
| ~ member(Y,A) )
| ~ member(X,product(A)) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
( ! [X,A] :
( ( ~ member(X,sK2_skl(A,X))
& member(sK2_skl(A,X),A) )
| member(X,product(A)) )
& ! [X,A] :
( ! [Y] :
( member(X,Y)
| ~ member(Y,A) )
| ~ member(X,product(A)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(A,X))],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X2,X1)
| ~ member(X0,product(X1)) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( member(sK2_skl(X1,X0),X1)
| member(X0,product(X1)) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f85,plain,
! [F,A,B] :
( maps(F,A,B)
<=> ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ apply(F,X,Y2)
| ~ apply(F,X,Y1)
| ~ member(Y2,B)
| ~ member(Y1,B)
| ~ member(X,A) )
& ! [X] :
( ? [Y] :
( apply(F,X,Y)
& member(Y,B) )
| ~ member(X,A) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f86,definition,
! [F,A,B,X] :
( sP0_prd(X,B,A,F)
<=> ( ? [Y] :
( apply(F,X,Y)
& member(Y,B) )
| ~ member(X,A) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f87,plain,
! [F,A,B] :
( maps(F,A,B)
<=> ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ apply(F,X,Y2)
| ~ apply(F,X,Y1)
| ~ member(Y2,B)
| ~ member(Y1,B)
| ~ member(X,A) )
& ! [X] : sP0_prd(X,B,A,F) ) ),
inference(formula_renaming,[status(thm)],[f85,f86]) ).
fof(f88,plain,
! [F,A,B] :
( ( ? [X,Y1,Y2] :
( Y1 != Y2
& apply(F,X,Y2)
& apply(F,X,Y1)
& member(Y2,B)
& member(Y1,B)
& member(X,A) )
| ? [X] : ~ sP0_prd(X,B,A,F)
| maps(F,A,B) )
& ( ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ apply(F,X,Y2)
| ~ apply(F,X,Y1)
| ~ member(Y2,B)
| ~ member(Y1,B)
| ~ member(X,A) )
& ! [X] : sP0_prd(X,B,A,F) )
| ~ maps(F,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
( ! [F,A,B] :
( ? [X,Y1,Y2] :
( Y1 != Y2
& apply(F,X,Y2)
& apply(F,X,Y1)
& member(Y2,B)
& member(Y1,B)
& member(X,A) )
| ? [X] : ~ sP0_prd(X,B,A,F)
| maps(F,A,B) )
& ! [F,A,B] :
( ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ apply(F,X,Y2)
| ~ apply(F,X,Y1)
| ~ member(Y2,B)
| ~ member(Y1,B)
| ~ member(X,A) )
& ! [X] : sP0_prd(X,B,A,F) )
| ~ maps(F,A,B) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f90,plain,
( ! [F,A,B] :
( ( sK5_skl(B,A,F) != sK6_skl(B,A,F)
& apply(F,sK4_skl(B,A,F),sK6_skl(B,A,F))
& apply(F,sK4_skl(B,A,F),sK5_skl(B,A,F))
& member(sK6_skl(B,A,F),B)
& member(sK5_skl(B,A,F),B)
& member(sK4_skl(B,A,F),A) )
| ~ sP0_prd(sK3_skl(B,A,F),B,A,F)
| maps(F,A,B) )
& ! [F,A,B] :
( ( ! [X,Y1,Y2] :
( Y1 = Y2
| ~ apply(F,X,Y2)
| ~ apply(F,X,Y1)
| ~ member(Y2,B)
| ~ member(Y1,B)
| ~ member(X,A) )
& ! [X] : sP0_prd(X,B,A,F) )
| ~ maps(F,A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(X,sK3_skl(B,A,F)),skolemize(X,sK4_skl(B,A,F)),skolemize(Y1,sK5_skl(B,A,F)),skolemize(Y2,sK6_skl(B,A,F))],[f89]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( sP0_prd(X3,X2,X1,X0)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f176,plain,
! [F,A,Y] :
( ( ! [X] :
( ~ apply(F,X,Y)
| ~ member(X,A) )
| member(Y,image2(F,A)) )
& ( ? [X] :
( apply(F,X,Y)
& member(X,A) )
| ~ member(Y,image2(F,A)) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f177,plain,
( ! [F,A,Y] :
( ! [X] :
( ~ apply(F,X,Y)
| ~ member(X,A) )
| member(Y,image2(F,A)) )
& ! [F,A,Y] :
( ? [X] :
( apply(F,X,Y)
& member(X,A) )
| ~ member(Y,image2(F,A)) ) ),
inference(miniscoping,[status(thm)],[f176]) ).
fof(f178,plain,
( ! [F,A,Y] :
( ! [X] :
( ~ apply(F,X,Y)
| ~ member(X,A) )
| member(Y,image2(F,A)) )
& ! [F,A,Y] :
( ( apply(F,sK23_skl(Y,A,F),Y)
& member(sK23_skl(Y,A,F),A) )
| ~ member(Y,image2(F,A)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(X,sK23_skl(Y,A,F))],[f177]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ apply(X1,X3,X0)
| ~ member(X3,X2)
| member(X0,image2(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f244,plain,
? [F,A,B,X] :
( ~ equal_set(X,empty_set)
& equal_set(image2(F,X),empty_set)
& subset(X,A)
& maps(F,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f245,plain,
? [X] :
( ~ equal_set(X,empty_set)
& ? [F] :
( equal_set(image2(F,X),empty_set)
& ? [A] :
( subset(X,A)
& ? [B] : maps(F,A,B) ) ) ),
inference(miniscoping,[status(thm)],[f244]) ).
fof(f246,plain,
( ~ equal_set(sK39_skl,empty_set)
& equal_set(image2(sK40_skl,sK39_skl),empty_set)
& subset(sK39_skl,sK41_skl)
& maps(sK40_skl,sK41_skl,sK42_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39_skl,sK40_skl,sK41_skl,sK42_skl]),skolemize(X,sK39_skl),skolemize(F,sK40_skl),skolemize(A,sK41_skl),skolemize(B,sK42_skl)],[f245]) ).
fof(f247,plain,
maps(sK40_skl,sK41_skl,sK42_skl),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
subset(sK39_skl,sK41_skl),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f249,plain,
equal_set(image2(sK40_skl,sK39_skl),empty_set),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f250,plain,
~ equal_set(sK39_skl,empty_set),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f251,plain,
! [F,A,B,X] :
( ( ( ! [Y] :
( ~ apply(F,X,Y)
| ~ member(Y,B) )
& member(X,A) )
| sP0_prd(X,B,A,F) )
& ( ? [Y] :
( apply(F,X,Y)
& member(Y,B) )
| ~ member(X,A)
| ~ sP0_prd(X,B,A,F) ) ),
inference(NNF_transformation,[status(thm)],[f86]) ).
fof(f252,plain,
( ! [F,A,B,X] :
( ( ! [Y] :
( ~ apply(F,X,Y)
| ~ member(Y,B) )
& member(X,A) )
| sP0_prd(X,B,A,F) )
& ! [F,A,B,X] :
( ? [Y] :
( apply(F,X,Y)
& member(Y,B) )
| ~ member(X,A)
| ~ sP0_prd(X,B,A,F) ) ),
inference(miniscoping,[status(thm)],[f251]) ).
fof(f253,plain,
( ! [F,A,B,X] :
( ( ! [Y] :
( ~ apply(F,X,Y)
| ~ member(Y,B) )
& member(X,A) )
| sP0_prd(X,B,A,F) )
& ! [F,A,B,X] :
( ( apply(F,X,sK43_skl(X,B,A,F))
& member(sK43_skl(X,B,A,F),B) )
| ~ member(X,A)
| ~ sP0_prd(X,B,A,F) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43_skl]),skolemize(Y,sK43_skl(X,B,A,F))],[f252]) ).
fof(f255,plain,
! [X0,X1,X2,X3] :
( apply(X3,X0,sK43_skl(X0,X1,X2,X3))
| ~ member(X0,X2)
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f267,plain,
( ~ subset(empty_set,sK39_skl)
| ~ subset(sK39_skl,empty_set) ),
inference(resolution,[status(thm)],[f42,f250]) ).
fof(f268,definition,
( sQ0_spl
<=> subset(sK39_skl,empty_set) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( sQ0_spl
| ~ subset(sK39_skl,empty_set) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ1_spl
<=> subset(empty_set,sK39_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( sQ1_spl
| ~ subset(empty_set,sK39_skl) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f267,f268,f271]) ).
fof(f280,plain,
( sQ0_spl
| member(sK0_skl(empty_set,sK39_skl),sK39_skl) ),
inference(resolution,[status(thm)],[f36,f270]) ).
fof(f284,plain,
! [X0] :
( sQ0_spl
| member(sK0_skl(empty_set,sK39_skl),X0)
| ~ subset(sK39_skl,X0) ),
inference(resolution,[status(thm)],[f280,f35]) ).
fof(f285,plain,
( sQ0_spl
| member(sK0_skl(empty_set,sK39_skl),sK41_skl) ),
inference(resolution,[status(thm)],[f284,f248]) ).
fof(f323,plain,
( sQ1_spl
| member(sK0_skl(sK39_skl,empty_set),empty_set) ),
inference(resolution,[status(thm)],[f273,f36]) ).
fof(f326,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f323,f57]) ).
fof(f327,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ0_spl
| member(sK0_skl(empty_set,sK39_skl),sK39_skl) ),
inference(resolution,[status(thm)],[f270,f36]) ).
fof(f353,plain,
! [X0,X1,X2] :
( member(sK1_skl(X1,X2),X1)
| ~ member(X2,X0)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f77,f75]) ).
fof(f371,plain,
! [X0,X1,X2] :
( member(X1,X2)
| ~ member(X2,X0)
| member(sK2_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f83,f82]) ).
fof(f1133,plain,
! [X0,X1,X2,X3] :
( member(sK1_skl(X1,X2),X3)
| ~ subset(X1,X3)
| ~ member(X2,X0)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f353,f35]) ).
fof(f1157,plain,
! [X0,X1,X2,X3] :
( member(sK2_skl(X1,X2),X3)
| ~ subset(X1,X3)
| member(X2,X0)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f371,f35]) ).
fof(f1259,plain,
! [X0,X1,X2,X3] :
( ~ equal_set(X1,X3)
| member(sK1_skl(X1,X2),X3)
| ~ member(X2,X0)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f1133,f40]) ).
fof(f1267,plain,
! [X0,X1,X2,X3] :
( ~ equal_set(X1,X3)
| member(sK2_skl(X1,X2),X3)
| member(X2,X0)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f1157,f40]) ).
fof(f1519,plain,
! [X0,X1,X2,X3] :
( ~ maps(X2,X1,X3)
| apply(X2,X0,sK43_skl(X0,X3,X1,X2))
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f255,f91]) ).
fof(f2006,plain,
! [X0] :
( apply(sK40_skl,X0,sK43_skl(X0,sK42_skl,sK41_skl,sK40_skl))
| ~ member(X0,sK41_skl) ),
inference(resolution,[status(thm)],[f1519,f247]) ).
fof(f2036,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(sK43_skl(X0,sK42_skl,sK41_skl,sK40_skl),image2(sK40_skl,X1))
| ~ member(X0,sK41_skl) ),
inference(resolution,[status(thm)],[f2006,f181]) ).
fof(f4652,plain,
! [X0,X1] :
( member(sK1_skl(image2(sK40_skl,sK39_skl),X1),empty_set)
| ~ member(X1,X0)
| ~ member(X0,image2(sK40_skl,sK39_skl)) ),
inference(resolution,[status(thm)],[f1259,f249]) ).
fof(f4654,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ member(X0,image2(sK40_skl,sK39_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4652,f57]) ).
fof(f4725,plain,
! [X0,X1] :
( member(sK2_skl(image2(sK40_skl,sK39_skl),X1),empty_set)
| member(X1,X0)
| ~ member(X0,image2(sK40_skl,sK39_skl)) ),
inference(resolution,[status(thm)],[f1267,f249]) ).
fof(f4727,plain,
! [X0,X1] :
( member(X1,X0)
| ~ member(X0,image2(sK40_skl,sK39_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4725,f57]) ).
fof(f4755,plain,
! [X0] : ~ member(X0,image2(sK40_skl,sK39_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f4727,f4654]) ).
fof(f5354,plain,
! [X0] :
( ~ member(X0,sK39_skl)
| ~ member(X0,sK41_skl) ),
inference(resolution,[status(thm)],[f2036,f4755]) ).
fof(f5379,plain,
( sQ0_spl
| ~ member(sK0_skl(empty_set,sK39_skl),sK41_skl) ),
inference(resolution,[status(thm)],[f5354,f328]) ).
fof(f5398,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5379,f285]) ).
fof(f5399,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f5398]) ).
fof(f5400,plain,
$false,
inference(sat_refutation,[status(thm)],[f274,f327,f5399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET763+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.39 % Computer : n019.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Mon Sep 21 05:36:46 UTC 2026
% 0.11/10.40 % CPUTime :
% 0.15/10.42 % Drodi V4.1.1
% 102.01/23.43 % Refutation found
% 102.01/23.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 102.01/23.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.21/23.64 % Elapsed time: 13.231948 seconds
% 6.21/23.64 % CPU time: 103.407430 seconds
% 6.21/23.64 % Total memory used: 510.548 MB
% 6.21/23.64 % Net memory used: 438.431 MB
%------------------------------------------------------------------------------