%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU168+1 : TPTP v9.3.1. Released v3.3.0.
% 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 02:19:30 PM UTC 2026
% Result : Theorem 7.93s 1.54s
% Output : CNFRefutation 7.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 82 ( 4 unt; 2 def)
% Number of atoms : 351 ( 8 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 435 ( 166 ~; 187 |; 69 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 204 ( 183 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] :
( B = powerset(A)
<=> ! [C] :
( in(C,B)
<=> subset(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,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/sandbox/benchmark/theBenchmark.p') ).
fof(f7,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)],[f6]) ).
fof(f8,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/sandbox/benchmark/theBenchmark.p') ).
fof(f11,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(f12,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)],[f11]) ).
fof(f13,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))],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( subset(X2,X1)
| ~ in(X2,X0)
| X0 != powerset(X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f18,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,B)
| ~ in(C,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f19,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)],[f18]) ).
fof(f20,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)],[f19]) ).
fof(f21,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))],[f20]) ).
fof(f23,plain,
! [X0,X1] :
( in(sK1_skl(X1,X0),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f24,plain,
! [X0,X1] :
( ~ in(sK1_skl(X1,X0),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f27,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)],[f7]) ).
fof(f28,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(f29,definition,
! [B,C] :
( sP1_prd(C,B)
<=> ( ~ in(powerset(C),B)
& in(C,B) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f30,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)],[f27,f29,f28]) ).
fof(f31,plain,
! [B] :
( ( ~ in(sK6_skl(B),B)
& ~ are_equipotent(sK6_skl(B),B)
& subset(sK6_skl(B),B) )
| sP1_prd(sK5_skl(B),B)
| sP0_prd(sK4_skl(B),sK3_skl(B),B)
| ~ in(sK2_skl,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK2_skl),skolemize(C,sK3_skl(B)),skolemize(D,sK4_skl(B)),skolemize(C,sK5_skl(B)),skolemize(C,sK6_skl(B))],[f30]) ).
fof(f32,plain,
! [X0] :
( subset(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| sP0_prd(sK4_skl(X0),sK3_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0] :
( ~ are_equipotent(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| sP0_prd(sK4_skl(X0),sK3_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
! [X0] :
( ~ in(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| sP0_prd(sK4_skl(X0),sK3_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f35,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)],[f8]) ).
fof(f36,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)],[f35]) ).
fof(f37,plain,
! [A] :
( ! [C] :
( in(C,sK7_skl(A))
| are_equipotent(C,sK7_skl(A))
| ~ subset(C,sK7_skl(A)) )
& ! [C] :
( ( ! [E] :
( in(E,sK8_skl(C,A))
| ~ subset(E,C) )
& in(sK8_skl(C,A),sK7_skl(A)) )
| ~ in(C,sK7_skl(A)) )
& ! [D] :
( in(D,sK7_skl(A))
| ! [C] :
( ~ subset(D,C)
| ~ in(C,sK7_skl(A)) ) )
& in(A,sK7_skl(A)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(B,sK7_skl(A)),skolemize(D,sK8_skl(C,A))],[f36]) ).
fof(f38,plain,
! [X0] : in(X0,sK7_skl(X0)),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( in(X2,sK7_skl(X1))
| ~ subset(X2,X0)
| ~ in(X0,sK7_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f40,plain,
! [X0,X1] :
( in(sK8_skl(X0,X1),sK7_skl(X1))
| ~ in(X0,sK7_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f41,plain,
! [X0,X1,X2] :
( in(X2,sK8_skl(X0,X1))
| ~ subset(X2,X0)
| ~ in(X0,sK7_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f42,plain,
! [X0,X1] :
( in(X0,sK7_skl(X1))
| are_equipotent(X0,sK7_skl(X1))
| ~ subset(X0,sK7_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f43,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)],[f28]) ).
fof(f44,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)],[f43]) ).
fof(f45,plain,
! [X0,X1,X2] :
( in(X1,X2)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ in(X0,X2)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f49,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)],[f29]) ).
fof(f50,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)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( in(X0,X1)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ~ in(powerset(X0),X1)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f54,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(X0,powerset(X1)) ),
inference(destructive_equality_resolution,[status(thm)],[f14]) ).
fof(f57,plain,
! [X0] :
( ~ in(sK4_skl(X0),X0)
| subset(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f32,f47]) ).
fof(f58,plain,
! [X0] :
( subset(sK4_skl(X0),sK3_skl(X0))
| subset(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f32,f46]) ).
fof(f59,plain,
! [X0] :
( in(sK3_skl(X0),X0)
| subset(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f32,f45]) ).
fof(f73,plain,
! [X0] :
( ~ in(sK4_skl(X0),X0)
| ~ are_equipotent(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f33,f47]) ).
fof(f74,plain,
! [X0] :
( subset(sK4_skl(X0),sK3_skl(X0))
| ~ are_equipotent(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f33,f46]) ).
fof(f75,plain,
! [X0] :
( in(sK3_skl(X0),X0)
| ~ are_equipotent(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f33,f45]) ).
fof(f76,plain,
! [X0] :
( ~ in(sK4_skl(X0),X0)
| ~ in(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f34,f47]) ).
fof(f77,plain,
! [X0] :
( subset(sK4_skl(X0),sK3_skl(X0))
| ~ in(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f34,f46]) ).
fof(f78,plain,
! [X0] :
( in(sK3_skl(X0),X0)
| ~ in(sK6_skl(X0),X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ in(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f34,f45]) ).
fof(f83,plain,
! [X0,X1] :
( subset(sK1_skl(X1,powerset(X0)),X0)
| subset(powerset(X0),X1) ),
inference(resolution,[status(thm)],[f23,f54]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ in(X1,sK7_skl(X2))
| in(X0,sK7_skl(X2))
| ~ subset(X0,sK8_skl(X1,X2)) ),
inference(resolution,[status(thm)],[f39,f40]) ).
fof(f115,plain,
! [X0,X1,X2] :
( subset(X2,sK8_skl(X0,X1))
| ~ subset(sK1_skl(sK8_skl(X0,X1),X2),X0)
| ~ in(X0,sK7_skl(X1)) ),
inference(resolution,[status(thm)],[f41,f24]) ).
fof(f164,plain,
! [X0] :
( in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| are_equipotent(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| in(sK3_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f59,f42]) ).
fof(f384,plain,
! [X0,X1] :
( subset(powerset(X0),sK8_skl(X0,X1))
| subset(powerset(X0),sK8_skl(X0,X1))
| ~ in(X0,sK7_skl(X1)) ),
inference(resolution,[status(thm)],[f115,f83]) ).
fof(f385,plain,
! [X0,X1] :
( subset(powerset(X0),sK8_skl(X0,X1))
| ~ in(X0,sK7_skl(X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f384]) ).
fof(f396,plain,
! [X0,X1] :
( ~ in(X0,sK7_skl(X1))
| in(powerset(X0),sK7_skl(X1))
| ~ in(X0,sK7_skl(X1)) ),
inference(resolution,[status(thm)],[f385,f98]) ).
fof(f399,plain,
! [X0,X1] :
( in(powerset(X0),sK7_skl(X1))
| ~ in(X0,sK7_skl(X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f396]) ).
fof(f401,plain,
! [X0,X1] :
( ~ sP1_prd(X0,sK7_skl(X1))
| ~ in(X0,sK7_skl(X1)) ),
inference(resolution,[status(thm)],[f399,f52]) ).
fof(f404,plain,
! [X0,X1] : ~ sP1_prd(X0,sK7_skl(X1)),
inference(forward_subsumption_resolution,[status(thm)],[f401,f51]) ).
fof(f606,plain,
! [X0] :
( in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| are_equipotent(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| in(sK3_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f404]) ).
fof(f607,plain,
! [X0] :
( in(sK3_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0))
| in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| in(sK3_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f606,f75]) ).
fof(f613,plain,
! [X0] :
( sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| in(sK3_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f607]) ).
fof(f614,plain,
! [X0] :
( sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| in(sK3_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f613,f78]) ).
fof(f843,plain,
! [X0] :
( in(sK3_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f614,f404]) ).
fof(f844,plain,
! [X0,X1] :
( in(X1,sK7_skl(X0))
| ~ subset(X1,sK3_skl(sK7_skl(X0)))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f843,f39]) ).
fof(f847,plain,
! [X0] :
( ~ in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0))
| in(sK4_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f844,f77]) ).
fof(f848,plain,
! [X0] :
( ~ are_equipotent(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0))
| in(sK4_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f844,f74]) ).
fof(f849,plain,
! [X0] :
( subset(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0))
| in(sK4_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f844,f58]) ).
fof(f857,plain,
! [X0] :
( ~ in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| in(sK4_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f847]) ).
fof(f858,plain,
! [X0] :
( ~ in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f857,f76]) ).
fof(f859,plain,
! [X0] :
( ~ are_equipotent(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| in(sK4_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f848]) ).
fof(f860,plain,
! [X0] :
( ~ are_equipotent(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f859,f73]) ).
fof(f861,plain,
! [X0] :
( subset(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| in(sK4_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f849]) ).
fof(f862,plain,
! [X0] :
( subset(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f861,f57]) ).
fof(f863,plain,
! [X0] :
( ~ in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f858,f404]) ).
fof(f924,plain,
! [X0] :
( ~ are_equipotent(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f860,f404]) ).
fof(f925,plain,
! [X0] :
( subset(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f862,f404]) ).
fof(f928,plain,
! [X0] :
( in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| are_equipotent(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f925,f42]) ).
fof(f933,plain,
! [X0] :
( in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))
| ~ in(sK2_skl,sK7_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f928,f924]) ).
fof(f934,plain,
! [X0] : ~ in(sK2_skl,sK7_skl(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f933,f863]) ).
fof(f940,plain,
$false,
inference(resolution,[status(thm)],[f934,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU168+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:54:19 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 7.93/1.54 % Refutation found
% 7.93/1.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.93/1.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.06/1.57 % Elapsed time: 1.187867 seconds
% 2.06/1.57 % CPU time: 8.927213 seconds
% 2.06/1.57 % Total memory used: 144.999 MB
% 2.06/1.57 % Net memory used: 124.725 MB
%------------------------------------------------------------------------------