%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU168+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:19:31 PM UTC 2026
% Result : Theorem 0.17s 0.73s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 8 unt; 8 def)
% Number of atoms : 324 ( 8 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 381 ( 145 ~; 148 |; 69 &)
% ( 12 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 177 ( 156 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] :
( B = powerset(A)
<=> ! [C] :
( in(C,B)
<=> subset(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
! [A] :
? [B] :
( ! [C] :
~ ( ~ in(C,B)
& ~ are_equipotent(C,B)
& subset(C,B) )
& ! [C] :
( in(C,B)
=> in(powerset(C),B) )
& ! [C,D] :
( ( subset(D,C)
& in(C,B) )
=> in(D,B) )
& in(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ! [A] :
? [B] :
( ! [C] :
~ ( ~ in(C,B)
& ~ are_equipotent(C,B)
& subset(C,B) )
& ! [C] :
( in(C,B)
=> in(powerset(C),B) )
& ! [C,D] :
( ( subset(D,C)
& in(C,B) )
=> in(D,B) )
& in(A,B) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,axiom,
! [A] :
? [B] :
( ! [C] :
~ ( ~ in(C,B)
& ~ are_equipotent(C,B)
& subset(C,B) )
& ! [C] :
~ ( ! [D] :
~ ( ! [E] :
( subset(E,C)
=> in(E,D) )
& in(D,B) )
& in(C,B) )
& ! [C,D] :
( ( subset(D,C)
& in(C,B) )
=> in(D,B) )
& in(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,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)],[f2]) ).
fof(f13,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)],[f12]) ).
fof(f14,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))],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( subset(X2,X1)
| ~ in(X2,X0)
| X0 != powerset(X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f19,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,B)
| ~ in(C,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
! [A,B] :
( ( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
( ! [A,B] :
( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ! [A,B] :
( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f22,plain,
( ! [A,B] :
( ( ~ in(sK1_skl(B,A),B)
& in(sK1_skl(B,A),A) )
| subset(A,B) )
& ! [A,B] :
( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f21]) ).
fof(f24,plain,
! [X0,X1] :
( in(sK1_skl(X1,X0),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f25,plain,
! [X0,X1] :
( ~ in(sK1_skl(X1,X0),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f30,plain,
! [A] : subset(A,A),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f31,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
? [A] :
! [B] :
( ? [C] :
( ~ in(C,B)
& ~ are_equipotent(C,B)
& subset(C,B) )
| ? [C] :
( ~ in(powerset(C),B)
& in(C,B) )
| ? [C,D] :
( ~ in(D,B)
& subset(D,C)
& in(C,B) )
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f33,definition,
! [B,C,D] :
( sP0_prd(D,C,B)
<=> ( ~ in(D,B)
& subset(D,C)
& in(C,B) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f34,definition,
! [B,C] :
( sP1_prd(C,B)
<=> ( ~ in(powerset(C),B)
& in(C,B) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f35,plain,
? [A] :
! [B] :
( ? [C] :
( ~ in(C,B)
& ~ are_equipotent(C,B)
& subset(C,B) )
| ? [C] : sP1_prd(C,B)
| ? [C,D] : sP0_prd(D,C,B)
| ~ in(A,B) ),
inference(formula_renaming,[status(thm)],[f32,f34,f33]) ).
fof(f36,plain,
! [B] :
( ( ~ in(sK8_skl(B),B)
& ~ are_equipotent(sK8_skl(B),B)
& subset(sK8_skl(B),B) )
| sP1_prd(sK7_skl(B),B)
| sP0_prd(sK6_skl(B),sK5_skl(B),B)
| ~ in(sK4_skl,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(A,sK4_skl),skolemize(C,sK5_skl(B)),skolemize(D,sK6_skl(B)),skolemize(C,sK7_skl(B)),skolemize(C,sK8_skl(B))],[f35]) ).
fof(f37,plain,
! [X0] :
( subset(sK8_skl(X0),X0)
| sP1_prd(sK7_skl(X0),X0)
| sP0_prd(sK6_skl(X0),sK5_skl(X0),X0)
| ~ in(sK4_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [X0] :
( ~ are_equipotent(sK8_skl(X0),X0)
| sP1_prd(sK7_skl(X0),X0)
| sP0_prd(sK6_skl(X0),sK5_skl(X0),X0)
| ~ in(sK4_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f39,plain,
! [X0] :
( ~ in(sK8_skl(X0),X0)
| sP1_prd(sK7_skl(X0),X0)
| sP0_prd(sK6_skl(X0),sK5_skl(X0),X0)
| ~ in(sK4_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f40,plain,
! [A] :
? [B] :
( ! [C] :
( in(C,B)
| are_equipotent(C,B)
| ~ subset(C,B) )
& ! [C] :
( ? [D] :
( ! [E] :
( in(E,D)
| ~ subset(E,C) )
& in(D,B) )
| ~ in(C,B) )
& ! [C,D] :
( in(D,B)
| ~ subset(D,C)
| ~ in(C,B) )
& in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
! [A] :
? [B] :
( ! [C] :
( in(C,B)
| are_equipotent(C,B)
| ~ subset(C,B) )
& ! [C] :
( ? [D] :
( ! [E] :
( in(E,D)
| ~ subset(E,C) )
& in(D,B) )
| ~ in(C,B) )
& ! [D] :
( in(D,B)
| ! [C] :
( ~ subset(D,C)
| ~ in(C,B) ) )
& in(A,B) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f42,plain,
! [A] :
( ! [C] :
( in(C,sK9_skl(A))
| are_equipotent(C,sK9_skl(A))
| ~ subset(C,sK9_skl(A)) )
& ! [C] :
( ( ! [E] :
( in(E,sK10_skl(C,A))
| ~ subset(E,C) )
& in(sK10_skl(C,A),sK9_skl(A)) )
| ~ in(C,sK9_skl(A)) )
& ! [D] :
( in(D,sK9_skl(A))
| ! [C] :
( ~ subset(D,C)
| ~ in(C,sK9_skl(A)) ) )
& in(A,sK9_skl(A)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(B,sK9_skl(A)),skolemize(D,sK10_skl(C,A))],[f41]) ).
fof(f43,plain,
! [X0] : in(X0,sK9_skl(X0)),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( in(X2,sK9_skl(X1))
| ~ subset(X2,X0)
| ~ in(X0,sK9_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f45,plain,
! [X0,X1] :
( in(sK10_skl(X0,X1),sK9_skl(X1))
| ~ in(X0,sK9_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f46,plain,
! [X0,X1,X2] :
( in(X2,sK10_skl(X0,X1))
| ~ subset(X2,X0)
| ~ in(X0,sK9_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f47,plain,
! [X0,X1] :
( in(X0,sK9_skl(X1))
| are_equipotent(X0,sK9_skl(X1))
| ~ subset(X0,sK9_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f48,plain,
! [B,C,D] :
( ( in(D,B)
| ~ subset(D,C)
| ~ in(C,B)
| sP0_prd(D,C,B) )
& ( ( ~ in(D,B)
& subset(D,C)
& in(C,B) )
| ~ sP0_prd(D,C,B) ) ),
inference(NNF_transformation,[status(thm)],[f33]) ).
fof(f49,plain,
( ! [B,C,D] :
( in(D,B)
| ~ subset(D,C)
| ~ in(C,B)
| sP0_prd(D,C,B) )
& ! [B,C,D] :
( ( ~ in(D,B)
& subset(D,C)
& in(C,B) )
| ~ sP0_prd(D,C,B) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( in(X1,X2)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ in(X0,X2)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f54,plain,
! [B,C] :
( ( in(powerset(C),B)
| ~ in(C,B)
| sP1_prd(C,B) )
& ( ( ~ in(powerset(C),B)
& in(C,B) )
| ~ sP1_prd(C,B) ) ),
inference(NNF_transformation,[status(thm)],[f34]) ).
fof(f55,plain,
( ! [B,C] :
( in(powerset(C),B)
| ~ in(C,B)
| sP1_prd(C,B) )
& ! [B,C] :
( ( ~ in(powerset(C),B)
& in(C,B) )
| ~ sP1_prd(C,B) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( in(X0,X1)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ~ in(powerset(X0),X1)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f59,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(X0,powerset(X1)) ),
inference(destructive_equality_resolution,[status(thm)],[f15]) ).
fof(f81,plain,
( subset(sK8_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl))
| sP1_prd(sK7_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl))
| sP0_prd(sK6_skl(sK9_skl(sK4_skl)),sK5_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f43,f37]) ).
fof(f83,definition,
( sQ3_spl
<=> sP0_prd(sK6_skl(sK9_skl(sK4_skl)),sK5_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ3_spl
| sP0_prd(sK6_skl(sK9_skl(sK4_skl)),sK5_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,definition,
( sQ4_spl
<=> sP1_prd(sK7_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ4_spl
| sP1_prd(sK7_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,definition,
( sQ5_spl
<=> subset(sK8_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ5_spl
| subset(sK8_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( sQ5_spl
| sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f81,f83,f86,f89]) ).
fof(f94,plain,
! [X0,X1] :
( subset(sK1_skl(X1,powerset(X0)),X0)
| subset(powerset(X0),X1) ),
inference(resolution,[status(thm)],[f24,f59]) ).
fof(f105,plain,
( ~ sQ4_spl
| ~ in(powerset(sK7_skl(sK9_skl(sK4_skl))),sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f87,f57]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ sP1_prd(X1,sK9_skl(X2))
| in(X0,sK9_skl(X2))
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[f44,f56]) ).
fof(f220,plain,
! [X0,X1,X2] :
( in(X2,sK9_skl(X1))
| ~ subset(X2,sK10_skl(X0,X1))
| ~ in(X0,sK9_skl(X1)) ),
inference(resolution,[status(thm)],[f45,f44]) ).
fof(f228,plain,
! [X0] :
( ~ sQ4_spl
| in(X0,sK9_skl(sK4_skl))
| ~ subset(X0,sK7_skl(sK9_skl(sK4_skl))) ),
inference(resolution,[status(thm)],[f115,f87]) ).
fof(f229,plain,
( ~ sQ3_spl
| ~ in(sK6_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f84,f52]) ).
fof(f230,plain,
( ~ sQ3_spl
| subset(sK6_skl(sK9_skl(sK4_skl)),sK5_skl(sK9_skl(sK4_skl))) ),
inference(resolution,[status(thm)],[f84,f51]) ).
fof(f231,plain,
( ~ sQ3_spl
| in(sK5_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f84,f50]) ).
fof(f233,plain,
! [X0] :
( ~ sQ3_spl
| in(X0,sK9_skl(sK4_skl))
| ~ subset(X0,sK5_skl(sK9_skl(sK4_skl))) ),
inference(resolution,[status(thm)],[f231,f44]) ).
fof(f246,plain,
! [X0,X1,X2] :
( in(sK1_skl(X1,powerset(X0)),sK10_skl(X0,X2))
| ~ in(X0,sK9_skl(X2))
| subset(powerset(X0),X1) ),
inference(resolution,[status(thm)],[f94,f46]) ).
fof(f286,plain,
( ~ sQ4_spl
| in(sK7_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f228,f31]) ).
fof(f296,plain,
( ~ sQ3_spl
| in(sK6_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f233,f230]) ).
fof(f303,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f296,f229]) ).
fof(f304,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f303]) ).
fof(f681,plain,
! [X0,X1] :
( subset(powerset(X0),sK10_skl(X0,X1))
| ~ in(X0,sK9_skl(X1))
| subset(powerset(X0),sK10_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f246,f25]) ).
fof(f683,plain,
! [X0,X1] :
( ~ in(X0,sK9_skl(X1))
| subset(powerset(X0),sK10_skl(X0,X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f681]) ).
fof(f825,plain,
! [X0,X1] :
( in(powerset(X0),sK9_skl(X1))
| ~ in(X0,sK9_skl(X1))
| ~ in(X0,sK9_skl(X1)) ),
inference(resolution,[status(thm)],[f683,f220]) ).
fof(f830,plain,
! [X0,X1] :
( in(powerset(X0),sK9_skl(X1))
| ~ in(X0,sK9_skl(X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f825]) ).
fof(f831,plain,
( ~ sQ4_spl
| ~ in(sK7_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f830,f105]) ).
fof(f837,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f831,f286]) ).
fof(f838,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f839,plain,
( ~ sQ5_spl
| in(sK8_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl))
| are_equipotent(sK8_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f90,f47]) ).
fof(f844,definition,
( sQ53_spl
<=> are_equipotent(sK8_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( ~ sQ53_spl
| are_equipotent(sK8_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,definition,
( sQ54_spl
<=> in(sK8_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( ~ sQ54_spl
| in(sK8_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl)) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( ~ sQ5_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f839,f844,f847,f89]) ).
fof(f855,plain,
( ~ sQ53_spl
| sP1_prd(sK7_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl))
| sP0_prd(sK6_skl(sK9_skl(sK4_skl)),sK5_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl))
| ~ in(sK4_skl,sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f845,f38]) ).
fof(f856,definition,
( sQ55_spl
<=> in(sK4_skl,sK9_skl(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( sQ55_spl
| ~ in(sK4_skl,sK9_skl(sK4_skl)) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,plain,
( ~ sQ53_spl
| sQ4_spl
| sQ3_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f855,f856,f83,f86,f844]) ).
fof(f860,plain,
( sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f858,f43]) ).
fof(f861,plain,
sQ55_spl,
inference(contradiction_clause,[status(thm)],[f860]) ).
fof(f864,plain,
( ~ sQ54_spl
| sP1_prd(sK7_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl))
| sP0_prd(sK6_skl(sK9_skl(sK4_skl)),sK5_skl(sK9_skl(sK4_skl)),sK9_skl(sK4_skl))
| ~ in(sK4_skl,sK9_skl(sK4_skl)) ),
inference(resolution,[status(thm)],[f848,f39]) ).
fof(f869,plain,
( ~ sQ54_spl
| sQ4_spl
| sQ3_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f864,f856,f83,f86,f847]) ).
fof(f870,plain,
$false,
inference(sat_refutation,[status(thm)],[f92,f304,f838,f850,f859,f861,f869]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU168+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n026.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 05:57:23 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.73 % Refutation found
% 0.17/0.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.77 % Elapsed time: 0.325919 seconds
% 0.17/0.77 % CPU time: 2.239444 seconds
% 0.17/0.77 % Total memory used: 101.892 MB
% 0.17/0.77 % Net memory used: 96.802 MB
%------------------------------------------------------------------------------