TSTP Solution File: SET650+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET650+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:40:05 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 8 unt; 0 def)
% Number of atoms : 310 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 389 ( 157 ~; 160 |; 34 &)
% ( 10 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 179 ( 169 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ! [F] :
( ilf_type(F,relation_type(B,C))
=> ( member(ordered_pair(D,E),F)
=> ( member(D,B)
& member(E,C) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B] :
( ilf_type(B,binary_relation_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( member(C,domain_of(B))
<=> ? [D] :
( ilf_type(D,set_type)
& member(ordered_pair(C,D),B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [B] :
( ilf_type(B,binary_relation_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( member(C,range_of(B))
<=> ? [D] :
( ilf_type(D,set_type)
& member(ordered_pair(D,C),B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( subset(B,C)
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(B,binary_relation_type)
<=> ( relation_like(B)
& ilf_type(B,set_type) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> relation_like(D) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( subset(domain_of(D),B)
& subset(range_of(D),C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( subset(domain_of(D),B)
& subset(range_of(D),C) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f41,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,set_type)
| ! [E] :
( ~ ilf_type(E,set_type)
| ! [F] :
( ~ ilf_type(F,relation_type(B,C))
| ~ member(ordered_pair(D,E),F)
| ( member(D,B)
& member(E,C) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ member(ordered_pair(X2,X3),X4)
| member(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ member(ordered_pair(X2,X3),X4)
| member(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f44,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( member(C,domain_of(B))
<=> ? [D] :
( ilf_type(D,set_type)
& member(ordered_pair(C,D),B) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f45,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ( ~ member(C,domain_of(B))
| ? [D] :
( ilf_type(D,set_type)
& member(ordered_pair(C,D),B) ) )
& ( member(C,domain_of(B))
| ! [D] :
( ~ ilf_type(D,set_type)
| ~ member(ordered_pair(C,D),B) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ( ~ member(C,domain_of(B))
| ( ilf_type(sk0_2(C,B),set_type)
& member(ordered_pair(C,sk0_2(C,B)),B) ) )
& ( member(C,domain_of(B))
| ! [D] :
( ~ ilf_type(D,set_type)
| ~ member(ordered_pair(C,D),B) ) ) ) ) ),
inference(skolemization,[status(esa)],[f45]) ).
fof(f48,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,domain_of(X0))
| member(ordered_pair(X1,sk0_2(X1,X0)),X0) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f52,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( member(C,range_of(B))
<=> ? [D] :
( ilf_type(D,set_type)
& member(ordered_pair(D,C),B) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f53,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ( ~ member(C,range_of(B))
| ? [D] :
( ilf_type(D,set_type)
& member(ordered_pair(D,C),B) ) )
& ( member(C,range_of(B))
| ! [D] :
( ~ ilf_type(D,set_type)
| ~ member(ordered_pair(D,C),B) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ( ~ member(C,range_of(B))
| ( ilf_type(sk0_3(C,B),set_type)
& member(ordered_pair(sk0_3(C,B),C),B) ) )
& ( member(C,range_of(B))
| ! [D] :
( ~ ilf_type(D,set_type)
| ~ member(ordered_pair(D,C),B) ) ) ) ) ),
inference(skolemization,[status(esa)],[f53]) ).
fof(f56,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,range_of(X0))
| member(ordered_pair(sk0_3(X1,X0),X1),X0) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f60,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ! [D] :
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f66,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( subset(B,C)
<=> ! [D] :
( ~ ilf_type(D,set_type)
| ~ member(D,B)
| member(D,C) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f67,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ( ~ subset(B,C)
| ! [D] :
( ~ ilf_type(D,set_type)
| ~ member(D,B)
| member(D,C) ) )
& ( subset(B,C)
| ? [D] :
( ilf_type(D,set_type)
& member(D,B)
& ~ member(D,C) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ( ~ subset(B,C)
| ! [D] :
( ~ ilf_type(D,set_type)
| ~ member(D,B)
| member(D,C) ) )
& ( subset(B,C)
| ( ilf_type(sk0_5(C,B),set_type)
& member(sk0_5(C,B),B)
& ~ member(sk0_5(C,B),C) ) ) ) ) ),
inference(skolemization,[status(esa)],[f67]) ).
fof(f71,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| subset(X0,X1)
| member(sk0_5(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f72,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| subset(X0,X1)
| ~ member(sk0_5(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f77,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ilf_type(B,binary_relation_type)
<=> ( relation_like(B)
& ilf_type(B,set_type) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f78,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ( ~ ilf_type(B,binary_relation_type)
| ( relation_like(B)
& ilf_type(B,set_type) ) )
& ( ilf_type(B,binary_relation_type)
| ~ relation_like(B)
| ~ ilf_type(B,set_type) ) ) ),
inference(NNF_transformation,[status(esa)],[f77]) ).
fof(f81,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f119,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| relation_like(D) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f129,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f130,plain,
? [B] :
( ilf_type(B,set_type)
& ? [C] :
( ilf_type(C,set_type)
& ? [D] :
( ilf_type(D,relation_type(B,C))
& ( ~ subset(domain_of(D),B)
| ~ subset(range_of(D),C) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f131,plain,
( ilf_type(sk0_14,set_type)
& ilf_type(sk0_15,set_type)
& ilf_type(sk0_16,relation_type(sk0_14,sk0_15))
& ( ~ subset(domain_of(sk0_16),sk0_14)
| ~ subset(range_of(sk0_16),sk0_15) ) ),
inference(skolemization,[status(esa)],[f130]) ).
fof(f134,plain,
ilf_type(sk0_16,relation_type(sk0_14,sk0_15)),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f135,plain,
( ~ subset(domain_of(sk0_16),sk0_14)
| ~ subset(range_of(sk0_16),sk0_15) ),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f136,plain,
( spl0_0
<=> subset(domain_of(sk0_16),sk0_14) ),
introduced(split_symbol_definition) ).
fof(f139,plain,
( spl0_1
<=> subset(range_of(sk0_16),sk0_15) ),
introduced(split_symbol_definition) ).
fof(f142,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f135,f136,f139]) ).
fof(f143,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f81]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X4,X0))
| ~ member(ordered_pair(X1,X2),X3)
| member(X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f43,f129]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X3,X4))
| ~ member(ordered_pair(X0,X1),X2)
| member(X1,X4) ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f129]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X4,X0))
| ~ member(ordered_pair(X1,X2),X3)
| member(X1,X4) ),
inference(backward_subsumption_resolution,[status(thm)],[f42,f129]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X3,X4))
| ~ member(ordered_pair(X0,X1),X2)
| member(X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f129]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X3))
| ~ member(ordered_pair(X4,X0),X1)
| member(X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f145,f129]) ).
fof(f157,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| subset(X1,X0)
| member(sk0_5(X0,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f129]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X3))
| ~ member(ordered_pair(X4,X0),X1)
| member(X4,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f129]) ).
fof(f164,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f129]) ).
fof(f358,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,domain_of(X0))
| member(ordered_pair(X1,sk0_2(X1,X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f129]) ).
fof(f367,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| subset(X1,X0)
| ~ member(sk0_5(X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f129]) ).
fof(f368,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sk0_5(X1,X0),X1) ),
inference(resolution,[status(thm)],[f367,f129]) ).
fof(f381,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
| relation_like(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f129]) ).
fof(f382,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| relation_like(X0) ),
inference(resolution,[status(thm)],[f381,f129]) ).
fof(f395,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,range_of(X0))
| member(ordered_pair(sk0_3(X1,X0),X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f129]) ).
fof(f499,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| ilf_type(X1,subset_type(cross_product(X2,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f129]) ).
fof(f500,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(resolution,[status(thm)],[f499,f129]) ).
fof(f514,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[status(thm)],[f500,f382]) ).
fof(f520,plain,
relation_like(sk0_16),
inference(resolution,[status(thm)],[f514,f134]) ).
fof(f521,plain,
ilf_type(sk0_16,binary_relation_type),
inference(resolution,[status(thm)],[f520,f164]) ).
fof(f522,plain,
! [X0] :
( ~ member(X0,range_of(sk0_16))
| member(ordered_pair(sk0_3(X0,sk0_16),X0),sk0_16) ),
inference(resolution,[status(thm)],[f521,f395]) ).
fof(f523,plain,
! [X0] :
( ~ member(X0,domain_of(sk0_16))
| member(ordered_pair(X0,sk0_2(X0,sk0_16)),sk0_16) ),
inference(resolution,[status(thm)],[f521,f358]) ).
fof(f532,plain,
! [X0,X1,X2] :
( ~ member(X0,range_of(sk0_16))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(sk0_16,relation_type(X1,X2))
| member(X0,X2) ),
inference(resolution,[status(thm)],[f522,f155]) ).
fof(f533,plain,
! [X0,X1,X2] :
( ~ member(X0,range_of(sk0_16))
| ~ ilf_type(sk0_16,relation_type(X1,X2))
| member(X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f129]) ).
fof(f535,plain,
! [X0,X1,X2] :
( ~ member(X0,domain_of(sk0_16))
| ~ ilf_type(sk0_2(X0,sk0_16),set_type)
| ~ ilf_type(sk0_16,relation_type(X1,X2))
| member(X0,X1) ),
inference(resolution,[status(thm)],[f523,f158]) ).
fof(f536,plain,
! [X0,X1,X2] :
( ~ member(X0,domain_of(sk0_16))
| ~ ilf_type(sk0_16,relation_type(X1,X2))
| member(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f535,f129]) ).
fof(f549,plain,
! [X0] :
( ~ member(X0,range_of(sk0_16))
| member(X0,sk0_15) ),
inference(resolution,[status(thm)],[f533,f134]) ).
fof(f574,plain,
! [X0] :
( member(sk0_5(X0,range_of(sk0_16)),sk0_15)
| ~ ilf_type(X0,set_type)
| subset(range_of(sk0_16),X0) ),
inference(resolution,[status(thm)],[f549,f157]) ).
fof(f575,plain,
! [X0] :
( member(sk0_5(X0,range_of(sk0_16)),sk0_15)
| subset(range_of(sk0_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f574,f129]) ).
fof(f609,plain,
( subset(range_of(sk0_16),sk0_15)
| subset(range_of(sk0_16),sk0_15) ),
inference(resolution,[status(thm)],[f575,f368]) ).
fof(f610,plain,
spl0_1,
inference(split_clause,[status(thm)],[f609,f139]) ).
fof(f1075,plain,
! [X0] :
( ~ member(X0,domain_of(sk0_16))
| member(X0,sk0_14) ),
inference(resolution,[status(thm)],[f536,f134]) ).
fof(f1186,plain,
! [X0] :
( member(sk0_5(X0,domain_of(sk0_16)),sk0_14)
| ~ ilf_type(X0,set_type)
| subset(domain_of(sk0_16),X0) ),
inference(resolution,[status(thm)],[f1075,f157]) ).
fof(f1187,plain,
! [X0] :
( member(sk0_5(X0,domain_of(sk0_16)),sk0_14)
| subset(domain_of(sk0_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1186,f129]) ).
fof(f1188,plain,
( subset(domain_of(sk0_16),sk0_14)
| subset(domain_of(sk0_16),sk0_14) ),
inference(resolution,[status(thm)],[f1187,f368]) ).
fof(f1189,plain,
spl0_0,
inference(split_clause,[status(thm)],[f1188,f136]) ).
fof(f1190,plain,
$false,
inference(sat_refutation,[status(thm)],[f142,f610,f1189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET650+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Apr 29 21:38:20 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.42 % Elapsed time: 0.107184 seconds
% 0.15/0.42 % CPU time: 0.613444 seconds
% 0.15/0.42 % Total memory used: 62.836 MB
% 0.15/0.42 % Net memory used: 62.442 MB
%------------------------------------------------------------------------------