%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU356+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 02:20:16 PM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 39
% Syntax : Number of formulae : 187 ( 8 unt; 35 def)
% Number of atoms : 951 ( 44 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 1346 ( 582 ~; 639 |; 68 &)
% ( 39 <=>; 17 =>; 0 <=; 1 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 36 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 191 ( 170 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( ! [D] :
( element(D,the_carrier(A))
=> ( ( ! [E] :
( element(E,the_carrier(A))
=> ( relstr_set_smaller(A,B,E)
=> related(A,D,E) ) )
& relstr_set_smaller(A,B,D) )
=> D = C ) )
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) )
& relstr_set_smaller(A,B,C)
& element(C,the_carrier(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
? [A] : rel_str(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
! [A] :
( ( rel_str(A)
& antisymmetric_relstr(A) )
=> ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) )
& relstr_set_smaller(A,B,C)
& element(C,the_carrier(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ! [A] :
( ( rel_str(A)
& antisymmetric_relstr(A) )
=> ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) )
& relstr_set_smaller(A,B,C)
& element(C,the_carrier(A)) ) ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,axiom,
! [A] :
( ( rel_str(A)
& antisymmetric_relstr(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> ( ( related(A,C,B)
& related(A,B,C) )
=> B = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [A] :
( ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( ! [D] :
( D = C
| ? [E] :
( ~ related(A,D,E)
& relstr_set_smaller(A,B,E)
& element(E,the_carrier(A)) )
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& ! [D] :
( related(A,C,D)
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& relstr_set_smaller(A,B,C)
& element(C,the_carrier(A)) ) )
| ~ rel_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
! [A] :
( ! [B] :
( ( ! [C] :
( ? [D] :
( D != C
& ! [E] :
( related(A,D,E)
| ~ relstr_set_smaller(A,B,E)
| ~ element(E,the_carrier(A)) )
& relstr_set_smaller(A,B,D)
& element(D,the_carrier(A)) )
| ? [D] :
( ~ related(A,C,D)
& relstr_set_smaller(A,B,D)
& element(D,the_carrier(A)) )
| ~ relstr_set_smaller(A,B,C)
| ~ element(C,the_carrier(A)) )
| ex_sup_of_relstr_set(A,B) )
& ( ? [C] :
( ! [D] :
( D = C
| ? [E] :
( ~ related(A,D,E)
& relstr_set_smaller(A,B,E)
& element(E,the_carrier(A)) )
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& ! [D] :
( related(A,C,D)
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& relstr_set_smaller(A,B,C)
& element(C,the_carrier(A)) )
| ~ ex_sup_of_relstr_set(A,B) ) )
| ~ rel_str(A) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
! [A] :
( ( ! [B] :
( ! [C] :
( ? [D] :
( D != C
& ! [E] :
( related(A,D,E)
| ~ relstr_set_smaller(A,B,E)
| ~ element(E,the_carrier(A)) )
& relstr_set_smaller(A,B,D)
& element(D,the_carrier(A)) )
| ? [D] :
( ~ related(A,C,D)
& relstr_set_smaller(A,B,D)
& element(D,the_carrier(A)) )
| ~ relstr_set_smaller(A,B,C)
| ~ element(C,the_carrier(A)) )
| ex_sup_of_relstr_set(A,B) )
& ! [B] :
( ? [C] :
( ! [D] :
( D = C
| ? [E] :
( ~ related(A,D,E)
& relstr_set_smaller(A,B,E)
& element(E,the_carrier(A)) )
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& ! [D] :
( related(A,C,D)
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& relstr_set_smaller(A,B,C)
& element(C,the_carrier(A)) )
| ~ ex_sup_of_relstr_set(A,B) ) )
| ~ rel_str(A) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f15,plain,
! [A] :
( ( ! [B] :
( ! [C] :
( ( sK3_skl(C,B,A) != C
& ! [E] :
( related(A,sK3_skl(C,B,A),E)
| ~ relstr_set_smaller(A,B,E)
| ~ element(E,the_carrier(A)) )
& relstr_set_smaller(A,B,sK3_skl(C,B,A))
& element(sK3_skl(C,B,A),the_carrier(A)) )
| ( ~ related(A,C,sK2_skl(C,B,A))
& relstr_set_smaller(A,B,sK2_skl(C,B,A))
& element(sK2_skl(C,B,A),the_carrier(A)) )
| ~ relstr_set_smaller(A,B,C)
| ~ element(C,the_carrier(A)) )
| ex_sup_of_relstr_set(A,B) )
& ! [B] :
( ( ! [D] :
( D = sK0_skl(B,A)
| ( ~ related(A,D,sK1_skl(D,B,A))
& relstr_set_smaller(A,B,sK1_skl(D,B,A))
& element(sK1_skl(D,B,A),the_carrier(A)) )
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& ! [D] :
( related(A,sK0_skl(B,A),D)
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& relstr_set_smaller(A,B,sK0_skl(B,A))
& element(sK0_skl(B,A),the_carrier(A)) )
| ~ ex_sup_of_relstr_set(A,B) ) )
| ~ rel_str(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(C,sK0_skl(B,A)),skolemize(E,sK1_skl(D,B,A)),skolemize(D,sK2_skl(C,B,A)),skolemize(D,sK3_skl(C,B,A))],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( element(sK0_skl(X1,X0),the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,sK0_skl(X1,X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f18,plain,
! [X0,X1,X2] :
( related(X0,sK0_skl(X1,X0),X2)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f22,plain,
! [X0,X1,X2] :
( element(sK3_skl(X2,X1,X0),the_carrier(X0))
| element(sK2_skl(X2,X1,X0),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f23,plain,
! [X0,X1,X2] :
( relstr_set_smaller(X0,X1,sK3_skl(X2,X1,X0))
| element(sK2_skl(X2,X1,X0),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( related(X0,sK3_skl(X2,X1,X0),X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| element(sK2_skl(X2,X1,X0),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f25,plain,
! [X0,X1,X2] :
( sK3_skl(X2,X1,X0) != X2
| element(sK2_skl(X2,X1,X0),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f26,plain,
! [X0,X1,X2] :
( element(sK3_skl(X2,X1,X0),the_carrier(X0))
| relstr_set_smaller(X0,X1,sK2_skl(X2,X1,X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f27,plain,
! [X0,X1,X2] :
( relstr_set_smaller(X0,X1,sK3_skl(X2,X1,X0))
| relstr_set_smaller(X0,X1,sK2_skl(X2,X1,X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( related(X0,sK3_skl(X2,X1,X0),X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| relstr_set_smaller(X0,X1,sK2_skl(X2,X1,X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f29,plain,
! [X0,X1,X2] :
( sK3_skl(X2,X1,X0) != X2
| relstr_set_smaller(X0,X1,sK2_skl(X2,X1,X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f30,plain,
! [X0,X1,X2] :
( element(sK3_skl(X2,X1,X0),the_carrier(X0))
| ~ related(X0,X2,sK2_skl(X2,X1,X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f31,plain,
! [X0,X1,X2] :
( relstr_set_smaller(X0,X1,sK3_skl(X2,X1,X0))
| ~ related(X0,X2,sK2_skl(X2,X1,X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( related(X0,sK3_skl(X2,X1,X0),X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| ~ related(X0,X2,sK2_skl(X2,X1,X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sK3_skl(X2,X1,X0) != X2
| ~ related(X0,X2,sK2_skl(X2,X1,X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f36,plain,
rel_str(sK4_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(A,sK4_skl)],[f6]) ).
fof(f37,plain,
rel_str(sK4_skl),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f42,plain,
? [A] :
( ? [B] :
( ex_sup_of_relstr_set(A,B)
<~> ? [C] :
( ! [D] :
( related(A,C,D)
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& relstr_set_smaller(A,B,C)
& element(C,the_carrier(A)) ) )
& rel_str(A)
& antisymmetric_relstr(A) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f43,plain,
? [A] :
( ? [B] :
( ( ! [C] :
( ? [D] :
( ~ related(A,C,D)
& relstr_set_smaller(A,B,D)
& element(D,the_carrier(A)) )
| ~ relstr_set_smaller(A,B,C)
| ~ element(C,the_carrier(A)) )
| ~ ex_sup_of_relstr_set(A,B) )
& ( ? [C] :
( ! [D] :
( related(A,C,D)
| ~ relstr_set_smaller(A,B,D)
| ~ element(D,the_carrier(A)) )
& relstr_set_smaller(A,B,C)
& element(C,the_carrier(A)) )
| ex_sup_of_relstr_set(A,B) ) )
& rel_str(A)
& antisymmetric_relstr(A) ),
inference(NNF_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
( ( ! [C] :
( ( ~ related(sK7_skl,C,sK10_skl(C))
& relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(C))
& element(sK10_skl(C),the_carrier(sK7_skl)) )
| ~ relstr_set_smaller(sK7_skl,sK8_skl,C)
| ~ element(C,the_carrier(sK7_skl)) )
| ~ ex_sup_of_relstr_set(sK7_skl,sK8_skl) )
& ( ( ! [D] :
( related(sK7_skl,sK9_skl,D)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,D)
| ~ element(D,the_carrier(sK7_skl)) )
& relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
& element(sK9_skl,the_carrier(sK7_skl)) )
| ex_sup_of_relstr_set(sK7_skl,sK8_skl) )
& rel_str(sK7_skl)
& antisymmetric_relstr(sK7_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(A,sK7_skl),skolemize(B,sK8_skl),skolemize(C,sK9_skl),skolemize(D,sK10_skl(C))],[f43]) ).
fof(f45,plain,
antisymmetric_relstr(sK7_skl),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
rel_str(sK7_skl),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f47,plain,
( element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f48,plain,
( relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f49,plain,
! [X0] :
( related(sK7_skl,sK9_skl,X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f50,plain,
! [X0] :
( element(sK10_skl(X0),the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f51,plain,
! [X0] :
( relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(X0))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f52,plain,
! [X0] :
( ~ related(sK7_skl,X0,sK10_skl(X0))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f53,plain,
! [A] :
( ! [B] :
( ! [C] :
( B = C
| ~ related(A,C,B)
| ~ related(A,B,C)
| ~ element(C,the_carrier(A)) )
| ~ element(B,the_carrier(A)) )
| ~ rel_str(A)
| ~ antisymmetric_relstr(A) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f54,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,definition,
( sQ0_spl
<=> ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f58,definition,
( sQ1_spl
<=> element(sK9_skl,the_carrier(sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f55,f58]) ).
fof(f62,definition,
( sQ2_spl
<=> relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( ~ sQ2_spl
| relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f48,f55,f62]) ).
fof(f66,definition,
! [X0] :
( sQ3_spl
<=> ( related(sK7_skl,sK9_skl,X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f67,plain,
! [X0] :
( ~ sQ3_spl
| related(sK7_skl,sK9_skl,X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f49,f55,f66]) ).
fof(f70,definition,
! [X0] :
( sQ4_spl
<=> ( element(sK10_skl(X0),the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f71,plain,
! [X0] :
( ~ sQ4_spl
| element(sK10_skl(X0),the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f50,f55,f70]) ).
fof(f74,definition,
! [X0] :
( sQ5_spl
<=> ( relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(X0))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f75,plain,
! [X0] :
( ~ sQ5_spl
| relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(X0))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,plain,
( sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f51,f55,f74]) ).
fof(f78,definition,
! [X0] :
( sQ6_spl
<=> ( ~ related(sK7_skl,X0,sK10_skl(X0))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f79,plain,
! [X0] :
( ~ sQ6_spl
| ~ related(sK7_skl,X0,sK10_skl(X0))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( sQ6_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f55,f78]) ).
fof(f82,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| related(sK7_skl,sK9_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f67,f63]) ).
fof(f83,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(sK9_skl))
| ~ element(sK10_skl(sK9_skl),the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f67,f79]) ).
fof(f84,definition,
( sQ7_spl
<=> related(sK7_skl,sK9_skl,sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ7_spl
| related(sK7_skl,sK9_skl,sK9_skl) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| sQ7_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f82,f58,f84,f66,f62]) ).
fof(f88,definition,
( sQ8_spl
<=> element(sK10_skl(sK9_skl),the_carrier(sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( sQ8_spl
| ~ element(sK10_skl(sK9_skl),the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,definition,
( sQ9_spl
<=> relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(sK9_skl)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f83,f88,f91,f58,f62,f66,f78]) ).
fof(f95,plain,
! [X0,X1] :
( X0 = X1
| ~ related(sK7_skl,X1,X0)
| ~ related(sK7_skl,X0,X1)
| ~ element(X1,the_carrier(sK7_skl))
| ~ element(X0,the_carrier(sK7_skl))
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f54,f45]) ).
fof(f96,definition,
( sQ10_spl
<=> rel_str(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( sQ10_spl
| ~ rel_str(sK7_skl) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,definition,
! [X0,X1] :
( sQ11_spl
<=> ( X0 = X1
| ~ related(sK7_skl,X1,X0)
| ~ related(sK7_skl,X0,X1)
| ~ element(X1,the_carrier(sK7_skl))
| ~ element(X0,the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f100,plain,
! [X0,X1] :
( ~ sQ11_spl
| X0 = X1
| ~ related(sK7_skl,X1,X0)
| ~ related(sK7_skl,X0,X1)
| ~ element(X1,the_carrier(sK7_skl))
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,plain,
( sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f95,f96,f99]) ).
fof(f103,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f46]) ).
fof(f104,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(sK9_skl))
| ~ element(sK9_skl,the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f75,f63]) ).
fof(f106,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f105,f58,f91,f74,f62]) ).
fof(f107,plain,
( ~ sQ4_spl
| sQ8_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f90,f71]) ).
fof(f108,plain,
( ~ sQ4_spl
| sQ8_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f107,f58,f62,f88,f70]) ).
fof(f109,plain,
! [X0] :
( ~ sQ6_spl
| ~ relstr_set_smaller(sK7_skl,X0,sK10_skl(sK0_skl(X0,sK7_skl)))
| ~ element(sK10_skl(sK0_skl(X0,sK7_skl)),the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X0)
| ~ rel_str(sK7_skl)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK0_skl(X0,sK7_skl))
| ~ element(sK0_skl(X0,sK7_skl),the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f79,f18]) ).
fof(f110,definition,
! [X0] :
( sQ12_spl
<=> ( ~ relstr_set_smaller(sK7_skl,X0,sK10_skl(sK0_skl(X0,sK7_skl)))
| ~ element(sK10_skl(sK0_skl(X0,sK7_skl)),the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK0_skl(X0,sK7_skl))
| ~ element(sK0_skl(X0,sK7_skl),the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f111,plain,
! [X0] :
( ~ sQ12_spl
| ~ relstr_set_smaller(sK7_skl,X0,sK10_skl(sK0_skl(X0,sK7_skl)))
| ~ element(sK10_skl(sK0_skl(X0,sK7_skl)),the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK0_skl(X0,sK7_skl))
| ~ element(sK0_skl(X0,sK7_skl),the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f109,f110,f96,f78]) ).
fof(f114,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ4_spl
| ~ relstr_set_smaller(sK7_skl,X0,sK10_skl(sK0_skl(X0,sK7_skl)))
| ~ ex_sup_of_relstr_set(sK7_skl,X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK0_skl(X0,sK7_skl))
| ~ element(sK0_skl(X0,sK7_skl),the_carrier(sK7_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f71]) ).
fof(f115,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sK9_skl = sK9_skl
| ~ related(sK7_skl,sK9_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ~ element(sK9_skl,the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f100,f85]) ).
fof(f116,plain,
! [X0,X1] :
( ~ sQ11_spl
| ~ relstr_set_smaller(sK7_skl,X1,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X1)
| ~ rel_str(sK7_skl)
| X0 = sK0_skl(X1,sK7_skl)
| ~ related(sK7_skl,X0,sK0_skl(X1,sK7_skl))
| ~ element(sK0_skl(X1,sK7_skl),the_carrier(sK7_skl))
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f100,f18]) ).
fof(f117,definition,
( sQ13_spl
<=> sK9_skl = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ11_spl
| sQ13_spl
| ~ sQ7_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f115,f58,f84,f117,f99]) ).
fof(f121,definition,
! [X0,X1] :
( sQ14_spl
<=> ( ~ relstr_set_smaller(sK7_skl,X1,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X1)
| X0 = sK0_skl(X1,sK7_skl)
| ~ related(sK7_skl,X0,sK0_skl(X1,sK7_skl))
| ~ element(sK0_skl(X1,sK7_skl),the_carrier(sK7_skl))
| ~ element(X0,the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f116,f121,f96,f99]) ).
fof(f126,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| ~ ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(sK0_skl(sK8_skl,sK7_skl)))
| ~ ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ element(sK0_skl(sK8_skl,sK7_skl),the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f114,f17]) ).
fof(f127,definition,
( sQ15_spl
<=> element(sK0_skl(sK8_skl,sK7_skl),the_carrier(sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( sQ15_spl
| ~ element(sK0_skl(sK8_skl,sK7_skl),the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ16_spl
<=> relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(sK0_skl(sK8_skl,sK7_skl))) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( sQ16_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK10_skl(sK0_skl(sK8_skl,sK7_skl))) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f126,f127,f55,f130,f96,f70,f110]) ).
fof(f136,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ3_spl
| X0 = sK9_skl
| ~ related(sK7_skl,X0,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ~ element(X0,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f67,f100]) ).
fof(f137,definition,
! [X0] :
( sQ17_spl
<=> ( X0 = sK9_skl
| ~ related(sK7_skl,X0,sK9_skl)
| ~ element(X0,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f138,plain,
! [X0] :
( ~ sQ17_spl
| X0 = sK9_skl
| ~ related(sK7_skl,X0,sK9_skl)
| ~ element(X0,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f136,f137,f58,f66,f99]) ).
fof(f141,plain,
! [X0] :
( ~ sQ17_spl
| X0 = sK9_skl
| ~ related(sK7_skl,X0,sK9_skl)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(duplicate_literals_removal,[status(thm)],[f138]) ).
fof(f144,plain,
! [X0] :
( ~ sQ17_spl
| ~ relstr_set_smaller(sK7_skl,X0,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X0)
| ~ rel_str(sK7_skl)
| sK0_skl(X0,sK7_skl) = sK9_skl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK0_skl(X0,sK7_skl))
| ~ element(sK0_skl(X0,sK7_skl),the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f141,f18]) ).
fof(f147,definition,
! [X0] :
( sQ18_spl
<=> ( ~ relstr_set_smaller(sK7_skl,X0,sK9_skl)
| ~ ex_sup_of_relstr_set(sK7_skl,X0)
| sK0_skl(X0,sK7_skl) = sK9_skl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK0_skl(X0,sK7_skl))
| ~ element(sK0_skl(X0,sK7_skl),the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ17_spl
| ~ sQ1_spl
| ~ sQ10_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f144,f147,f96,f58,f137]) ).
fof(f151,plain,
! [X0,X1] :
( sK3_skl(X1,X0,sK4_skl) != X1
| ~ related(sK4_skl,X1,sK2_skl(X1,X0,sK4_skl))
| ~ relstr_set_smaller(sK4_skl,X0,X1)
| ~ element(X1,the_carrier(sK4_skl))
| ex_sup_of_relstr_set(sK4_skl,X0) ),
inference(resolution,[status(thm)],[f33,f37]) ).
fof(f152,plain,
! [X0,X1] :
( sK3_skl(X1,X0,sK7_skl) != X1
| ~ related(sK7_skl,X1,sK2_skl(X1,X0,sK7_skl))
| ~ relstr_set_smaller(sK7_skl,X0,X1)
| ~ element(X1,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f33,f46]) ).
fof(f153,plain,
! [X0,X1] :
( ~ relstr_set_smaller(sK4_skl,X1,sK2_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl))
| ~ element(sK2_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl),the_carrier(sK4_skl))
| ~ ex_sup_of_relstr_set(sK4_skl,X1)
| ~ rel_str(sK4_skl)
| sK3_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl) != sK0_skl(X1,sK4_skl)
| ~ relstr_set_smaller(sK4_skl,X0,sK0_skl(X1,sK4_skl))
| ~ element(sK0_skl(X1,sK4_skl),the_carrier(sK4_skl))
| ex_sup_of_relstr_set(sK4_skl,X0) ),
inference(resolution,[status(thm)],[f151,f18]) ).
fof(f154,definition,
! [X0,X1] :
( sQ19_spl
<=> ( ~ relstr_set_smaller(sK4_skl,X1,sK2_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl))
| ~ element(sK2_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl),the_carrier(sK4_skl))
| ~ ex_sup_of_relstr_set(sK4_skl,X1)
| sK3_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl) != sK0_skl(X1,sK4_skl)
| ~ relstr_set_smaller(sK4_skl,X0,sK0_skl(X1,sK4_skl))
| ~ element(sK0_skl(X1,sK4_skl),the_carrier(sK4_skl))
| ex_sup_of_relstr_set(sK4_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f157,definition,
( sQ20_spl
<=> rel_str(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( sQ20_spl
| ~ rel_str(sK4_skl) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( ~ sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f153,f154,f157]) ).
fof(f161,plain,
! [X0] :
( ~ sQ3_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,X0,sK7_skl))
| ~ element(sK2_skl(sK9_skl,X0,sK7_skl),the_carrier(sK7_skl))
| sK3_skl(sK9_skl,X0,sK7_skl) != sK9_skl
| ~ relstr_set_smaller(sK7_skl,X0,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f152,f67]) ).
fof(f162,plain,
! [X0,X1] :
( ~ relstr_set_smaller(sK7_skl,X1,sK2_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl))
| ~ element(sK2_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl),the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X1)
| ~ rel_str(sK7_skl)
| sK3_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl) != sK0_skl(X1,sK7_skl)
| ~ relstr_set_smaller(sK7_skl,X0,sK0_skl(X1,sK7_skl))
| ~ element(sK0_skl(X1,sK7_skl),the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f152,f18]) ).
fof(f163,definition,
! [X0] :
( sQ21_spl
<=> ( ~ relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,X0,sK7_skl))
| ~ element(sK2_skl(sK9_skl,X0,sK7_skl),the_carrier(sK7_skl))
| sK3_skl(sK9_skl,X0,sK7_skl) != sK9_skl
| ~ relstr_set_smaller(sK7_skl,X0,sK9_skl)
| ex_sup_of_relstr_set(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f164,plain,
! [X0] :
( ~ sQ21_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,X0,sK7_skl))
| ~ element(sK2_skl(sK9_skl,X0,sK7_skl),the_carrier(sK7_skl))
| sK3_skl(sK9_skl,X0,sK7_skl) != sK9_skl
| ~ relstr_set_smaller(sK7_skl,X0,sK9_skl)
| ex_sup_of_relstr_set(sK7_skl,X0) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f161,f163,f58,f66]) ).
fof(f167,definition,
! [X0,X1] :
( sQ22_spl
<=> ( ~ relstr_set_smaller(sK7_skl,X1,sK2_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl))
| ~ element(sK2_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl),the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X1)
| sK3_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl) != sK0_skl(X1,sK7_skl)
| ~ relstr_set_smaller(sK7_skl,X0,sK0_skl(X1,sK7_skl))
| ~ element(sK0_skl(X1,sK7_skl),the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ10_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f162,f167,f96]) ).
fof(f171,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl))
| ~ element(sK2_skl(sK9_skl,sK8_skl,sK7_skl),the_carrier(sK7_skl))
| sK3_skl(sK9_skl,sK8_skl,sK7_skl) != sK9_skl
| ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(resolution,[status(thm)],[f164,f63]) ).
fof(f172,definition,
( sQ23_spl
<=> sK3_skl(sK9_skl,sK8_skl,sK7_skl) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f175,definition,
( sQ24_spl
<=> element(sK2_skl(sK9_skl,sK8_skl,sK7_skl),the_carrier(sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( sQ24_spl
| ~ element(sK2_skl(sK9_skl,sK8_skl,sK7_skl),the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ25_spl
<=> relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( sQ25_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl)) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f171,f55,f172,f175,f178,f163,f62]) ).
fof(f182,plain,
! [X0] :
( sQ25_spl
| related(sK7_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl),X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f180,f28]) ).
fof(f183,plain,
( sQ25_spl
| sK3_skl(sK9_skl,sK8_skl,sK7_skl) != sK9_skl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f180,f29]) ).
fof(f184,definition,
! [X0] :
( sQ26_spl
<=> ( related(sK7_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl),X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f185,plain,
! [X0] :
( ~ sQ26_spl
| related(sK7_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl),X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( sQ25_spl
| sQ26_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f182,f96,f55,f58,f62,f184,f178]) ).
fof(f188,plain,
( sQ25_spl
| ~ sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f183,f96,f55,f58,f62,f172,f178]) ).
fof(f190,plain,
( ~ sQ17_spl
| ~ sQ26_spl
| sK3_skl(sK9_skl,sK8_skl,sK7_skl) = sK9_skl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl))
| ~ element(sK3_skl(sK9_skl,sK8_skl,sK7_skl),the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f185,f141]) ).
fof(f195,definition,
( sQ28_spl
<=> element(sK3_skl(sK9_skl,sK8_skl,sK7_skl),the_carrier(sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ28_spl
| ~ element(sK3_skl(sK9_skl,sK8_skl,sK7_skl),the_carrier(sK7_skl)) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f199,definition,
( sQ29_spl
<=> relstr_set_smaller(sK7_skl,sK8_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( sQ29_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl)) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( ~ sQ17_spl
| ~ sQ26_spl
| sQ23_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f190,f58,f62,f195,f199,f172,f184,f137]) ).
fof(f207,plain,
( sQ28_spl
| element(sK2_skl(sK9_skl,sK8_skl,sK7_skl),the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f197,f22]) ).
fof(f208,plain,
( sQ28_spl
| relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f197,f26]) ).
fof(f209,plain,
( sQ28_spl
| sQ24_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f207,f96,f55,f58,f62,f175,f195]) ).
fof(f210,plain,
( sQ28_spl
| sQ25_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f208,f96,f55,f58,f62,f178,f195]) ).
fof(f224,plain,
( sQ28_spl
| ~ related(sK7_skl,sK9_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f30,f197]) ).
fof(f225,definition,
( sQ33_spl
<=> related(sK7_skl,sK9_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ33_spl
| related(sK7_skl,sK9_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl)) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ33_spl
| ~ related(sK7_skl,sK9_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl)) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( sQ28_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f224,f96,f55,f58,f62,f225,f195]) ).
fof(f229,plain,
( ~ sQ3_spl
| sQ33_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl))
| ~ element(sK2_skl(sK9_skl,sK8_skl,sK7_skl),the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f227,f67]) ).
fof(f230,plain,
( ~ sQ3_spl
| sQ33_spl
| ~ sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f229,f175,f178,f225,f66]) ).
fof(f231,plain,
! [X0] :
( sQ24_spl
| related(sK7_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl),X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f177,f24]) ).
fof(f232,plain,
( sQ24_spl
| relstr_set_smaller(sK7_skl,sK8_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f177,f23]) ).
fof(f233,plain,
( sQ24_spl
| sK3_skl(sK9_skl,sK8_skl,sK7_skl) != sK9_skl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f177,f25]) ).
fof(f234,plain,
( sQ24_spl
| sQ26_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f231,f96,f55,f58,f62,f184,f175]) ).
fof(f235,plain,
( sQ24_spl
| sQ29_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f232,f96,f55,f58,f62,f199,f175]) ).
fof(f236,plain,
( sQ24_spl
| ~ sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f233,f96,f55,f58,f62,f172,f175]) ).
fof(f237,plain,
( sQ29_spl
| ~ related(sK7_skl,sK9_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f201,f31]) ).
fof(f238,plain,
( sQ29_spl
| relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,sK8_skl,sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f201,f27]) ).
fof(f239,plain,
( sQ29_spl
| ~ sQ33_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f237,f96,f55,f58,f62,f225,f199]) ).
fof(f240,plain,
( sQ29_spl
| sQ25_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f238,f96,f55,f58,f62,f178,f199]) ).
fof(f247,definition,
( sQ35_spl
<=> sK2_skl(sK9_skl,sK8_skl,sK7_skl) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ35_spl
| sK2_skl(sK9_skl,sK8_skl,sK7_skl) = sK9_skl ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f251,plain,
! [X0,X1,X2] :
( related(sK4_skl,sK3_skl(X1,X0,sK4_skl),X2)
| ~ relstr_set_smaller(sK4_skl,X0,X2)
| ~ element(X2,the_carrier(sK4_skl))
| ~ related(sK4_skl,X1,sK2_skl(X1,X0,sK4_skl))
| ~ relstr_set_smaller(sK4_skl,X0,X1)
| ~ element(X1,the_carrier(sK4_skl))
| ex_sup_of_relstr_set(sK4_skl,X0) ),
inference(resolution,[status(thm)],[f32,f37]) ).
fof(f252,plain,
! [X0,X1,X2] :
( related(sK7_skl,sK3_skl(X1,X0,sK7_skl),X2)
| ~ relstr_set_smaller(sK7_skl,X0,X2)
| ~ element(X2,the_carrier(sK7_skl))
| ~ related(sK7_skl,X1,sK2_skl(X1,X0,sK7_skl))
| ~ relstr_set_smaller(sK7_skl,X0,X1)
| ~ element(X1,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f32,f46]) ).
fof(f253,plain,
! [X0,X1,X2] :
( ~ relstr_set_smaller(sK4_skl,X1,sK2_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl))
| ~ element(sK2_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl),the_carrier(sK4_skl))
| ~ ex_sup_of_relstr_set(sK4_skl,X1)
| ~ rel_str(sK4_skl)
| related(sK4_skl,sK3_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl),X2)
| ~ relstr_set_smaller(sK4_skl,X0,X2)
| ~ element(X2,the_carrier(sK4_skl))
| ~ relstr_set_smaller(sK4_skl,X0,sK0_skl(X1,sK4_skl))
| ~ element(sK0_skl(X1,sK4_skl),the_carrier(sK4_skl))
| ex_sup_of_relstr_set(sK4_skl,X0) ),
inference(resolution,[status(thm)],[f251,f18]) ).
fof(f254,definition,
! [X0,X1,X2] :
( sQ36_spl
<=> ( ~ relstr_set_smaller(sK4_skl,X1,sK2_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl))
| ~ element(sK2_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl),the_carrier(sK4_skl))
| ~ ex_sup_of_relstr_set(sK4_skl,X1)
| related(sK4_skl,sK3_skl(sK0_skl(X1,sK4_skl),X0,sK4_skl),X2)
| ~ relstr_set_smaller(sK4_skl,X0,X2)
| ~ element(X2,the_carrier(sK4_skl))
| ~ relstr_set_smaller(sK4_skl,X0,sK0_skl(X1,sK4_skl))
| ~ element(sK0_skl(X1,sK4_skl),the_carrier(sK4_skl))
| ex_sup_of_relstr_set(sK4_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ20_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f253,f254,f157]) ).
fof(f258,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f159,f37]) ).
fof(f259,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f258]) ).
fof(f260,plain,
! [X0] :
( ~ sQ33_spl
| related(sK7_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl),X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(resolution,[status(thm)],[f252,f226]) ).
fof(f261,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,X0,sK7_skl))
| ~ element(sK2_skl(sK9_skl,X0,sK7_skl),the_carrier(sK7_skl))
| related(sK7_skl,sK3_skl(sK9_skl,X0,sK7_skl),X1)
| ~ relstr_set_smaller(sK7_skl,X0,X1)
| ~ element(X1,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,X0,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f252,f67]) ).
fof(f262,plain,
! [X0,X1,X2] :
( ~ relstr_set_smaller(sK7_skl,X1,sK2_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl))
| ~ element(sK2_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl),the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X1)
| ~ rel_str(sK7_skl)
| related(sK7_skl,sK3_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl),X2)
| ~ relstr_set_smaller(sK7_skl,X0,X2)
| ~ element(X2,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,X0,sK0_skl(X1,sK7_skl))
| ~ element(sK0_skl(X1,sK7_skl),the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f252,f18]) ).
fof(f263,plain,
( ~ sQ33_spl
| sQ26_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f260,f55,f58,f62,f184,f225]) ).
fof(f264,definition,
! [X0,X1] :
( sQ37_spl
<=> ( ~ relstr_set_smaller(sK7_skl,sK8_skl,sK2_skl(sK9_skl,X0,sK7_skl))
| ~ element(sK2_skl(sK9_skl,X0,sK7_skl),the_carrier(sK7_skl))
| related(sK7_skl,sK3_skl(sK9_skl,X0,sK7_skl),X1)
| ~ relstr_set_smaller(sK7_skl,X0,X1)
| ~ element(X1,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,X0,sK9_skl)
| ex_sup_of_relstr_set(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f261,f264,f58,f66]) ).
fof(f268,definition,
! [X0,X1,X2] :
( sQ38_spl
<=> ( ~ relstr_set_smaller(sK7_skl,X1,sK2_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl))
| ~ element(sK2_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl),the_carrier(sK7_skl))
| ~ ex_sup_of_relstr_set(sK7_skl,X1)
| related(sK7_skl,sK3_skl(sK0_skl(X1,sK7_skl),X0,sK7_skl),X2)
| ~ relstr_set_smaller(sK7_skl,X0,X2)
| ~ element(X2,the_carrier(sK7_skl))
| ~ relstr_set_smaller(sK7_skl,X0,sK0_skl(X1,sK7_skl))
| ~ element(sK0_skl(X1,sK7_skl),the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ10_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f262,f268,f96]) ).
fof(f285,definition,
( sQ41_spl
<=> relstr_set_smaller(sK7_skl,sK8_skl,sK0_skl(sK8_skl,sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ41_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK0_skl(sK8_skl,sK7_skl)) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f309,plain,
! [X0] :
( ~ sQ35_spl
| related(sK7_skl,sK3_skl(sK9_skl,sK8_skl,sK7_skl),X0)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,X0)
| ~ element(X0,the_carrier(sK7_skl))
| ~ related(sK7_skl,sK9_skl,sK9_skl)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(paramodulation,[status(thm)],[f248,f252]) ).
fof(f310,plain,
( ~ sQ35_spl
| sK3_skl(sK9_skl,sK8_skl,sK7_skl) != sK9_skl
| ~ related(sK7_skl,sK9_skl,sK9_skl)
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK9_skl)
| ~ element(sK9_skl,the_carrier(sK7_skl))
| ex_sup_of_relstr_set(sK7_skl,sK8_skl) ),
inference(paramodulation,[status(thm)],[f248,f152]) ).
fof(f316,plain,
( ~ sQ35_spl
| sQ26_spl
| ~ sQ7_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f309,f55,f58,f62,f84,f184,f247]) ).
fof(f317,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| ~ sQ7_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f310,f55,f58,f62,f84,f172,f247]) ).
fof(f323,plain,
( sQ15_spl
| ~ ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f129,f16]) ).
fof(f324,plain,
( sQ15_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f323,f96,f55,f127]) ).
fof(f325,plain,
( sQ41_spl
| ~ ex_sup_of_relstr_set(sK7_skl,sK8_skl)
| ~ rel_str(sK7_skl) ),
inference(resolution,[status(thm)],[f287,f17]) ).
fof(f326,plain,
( sQ41_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f325,f96,f55,f285]) ).
fof(f327,plain,
( ~ sQ5_spl
| sQ16_spl
| ~ relstr_set_smaller(sK7_skl,sK8_skl,sK0_skl(sK8_skl,sK7_skl))
| ~ element(sK0_skl(sK8_skl,sK7_skl),the_carrier(sK7_skl)) ),
inference(resolution,[status(thm)],[f132,f75]) ).
fof(f328,plain,
( ~ sQ5_spl
| sQ16_spl
| ~ sQ41_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f327,f127,f285,f130,f74]) ).
fof(f329,plain,
$false,
inference(sat_refutation,[status(thm)],[f61,f65,f69,f73,f77,f81,f87,f94,f102,f104,f106,f108,f113,f120,f124,f133,f140,f150,f160,f166,f170,f181,f187,f188,f202,f209,f210,f228,f230,f234,f235,f236,f239,f240,f257,f259,f263,f267,f271,f316,f317,f324,f326,f328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU356+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n014.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 06:14:49 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.56 % Elapsed time: 0.112902 seconds
% 0.26/0.56 % CPU time: 0.138449 seconds
% 0.26/0.56 % Total memory used: 13.267 MB
% 0.26/0.56 % Net memory used: 13.238 MB
%------------------------------------------------------------------------------