TSTP Solution File: SEU174+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU174+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:41:21 EDT 2024
% Result : Theorem 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of formulae : 120 ( 24 unt; 0 def)
% Number of atoms : 319 ( 54 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 346 ( 147 ~; 136 |; 33 &)
% ( 18 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 151 ( 143 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( B = powerset(A)
<=> ! [C] :
( in(C,B)
<=> subset(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B] :
( element(B,powerset(powerset(A)))
=> ! [C] :
( element(C,powerset(powerset(A)))
=> ( C = complements_of_subsets(A,B)
<=> ! [D] :
( element(D,powerset(A))
=> ( in(D,C)
<=> in(subset_complement(A,D),B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [A,B] :
( element(B,powerset(powerset(A)))
=> element(complements_of_subsets(A,B),powerset(powerset(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [A] :
? [B] : element(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A,B] :
( element(B,powerset(powerset(A)))
=> complements_of_subsets(A,complements_of_subsets(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,lemma,
! [A,B] :
( element(B,powerset(A))
=> ! [C] :
( in(C,B)
=> in(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [A,B] :
( in(A,B)
=> element(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,lemma,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,lemma,
! [A] : subset(empty_set,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,lemma,
! [A] :
( subset(A,empty_set)
=> A = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,conjecture,
! [A,B] :
( element(B,powerset(powerset(A)))
=> ~ ( B != empty_set
& complements_of_subsets(A,B) = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
~ ! [A,B] :
( element(B,powerset(powerset(A)))
=> ~ ( B != empty_set
& complements_of_subsets(A,B) = empty_set ) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
fof(f124,plain,
! [A,B] :
( ~ in(A,B)
| ~ in(B,A) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f125,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f131,plain,
! [A,B] :
( ( A != B
| ( subset(A,B)
& subset(B,A) ) )
& ( A = B
| ~ subset(A,B)
| ~ subset(B,A) ) ),
inference(NNF_transformation,[status(esa)],[f6]) ).
fof(f132,plain,
( ! [A,B] :
( A != B
| ( subset(A,B)
& subset(B,A) ) )
& ! [A,B] :
( A = B
| ~ subset(A,B)
| ~ subset(B,A) ) ),
inference(miniscoping,[status(esa)],[f131]) ).
fof(f133,plain,
! [X0,X1] :
( X0 != X1
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f143,plain,
! [A] :
( ( A != empty_set
| ! [B] : ~ in(B,A) )
& ( A = empty_set
| ? [B] : in(B,A) ) ),
inference(NNF_transformation,[status(esa)],[f8]) ).
fof(f144,plain,
( ! [A] :
( A != empty_set
| ! [B] : ~ in(B,A) )
& ! [A] :
( A = empty_set
| ? [B] : in(B,A) ) ),
inference(miniscoping,[status(esa)],[f143]) ).
fof(f145,plain,
( ! [A] :
( A != empty_set
| ! [B] : ~ in(B,A) )
& ! [A] :
( A = empty_set
| in(sk0_1(A),A) ) ),
inference(skolemization,[status(esa)],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( X0 != empty_set
| ~ in(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f147,plain,
! [X0] :
( X0 = empty_set
| in(sk0_1(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f148,plain,
! [A,B] :
( ( B != powerset(A)
| ! [C] :
( ( ~ in(C,B)
| subset(C,A) )
& ( in(C,B)
| ~ subset(C,A) ) ) )
& ( B = powerset(A)
| ? [C] :
( ( ~ in(C,B)
| ~ subset(C,A) )
& ( in(C,B)
| subset(C,A) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f9]) ).
fof(f149,plain,
( ! [A,B] :
( B != powerset(A)
| ( ! [C] :
( ~ in(C,B)
| subset(C,A) )
& ! [C] :
( in(C,B)
| ~ subset(C,A) ) ) )
& ! [A,B] :
( B = powerset(A)
| ? [C] :
( ( ~ in(C,B)
| ~ subset(C,A) )
& ( in(C,B)
| subset(C,A) ) ) ) ),
inference(miniscoping,[status(esa)],[f148]) ).
fof(f150,plain,
( ! [A,B] :
( B != powerset(A)
| ( ! [C] :
( ~ in(C,B)
| subset(C,A) )
& ! [C] :
( in(C,B)
| ~ subset(C,A) ) ) )
& ! [A,B] :
( B = powerset(A)
| ( ( ~ in(sk0_2(B,A),B)
| ~ subset(sk0_2(B,A),A) )
& ( in(sk0_2(B,A),B)
| subset(sk0_2(B,A),A) ) ) ) ),
inference(skolemization,[status(esa)],[f149]) ).
fof(f152,plain,
! [X0,X1,X2] :
( X0 != powerset(X1)
| in(X2,X0)
| ~ subset(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f230,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| ! [C] :
( ~ element(C,powerset(powerset(A)))
| ( C = complements_of_subsets(A,B)
<=> ! [D] :
( ~ element(D,powerset(A))
| ( in(D,C)
<=> in(subset_complement(A,D),B) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f231,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| ! [C] :
( ~ element(C,powerset(powerset(A)))
| ( ( C != complements_of_subsets(A,B)
| ! [D] :
( ~ element(D,powerset(A))
| ( ( ~ in(D,C)
| in(subset_complement(A,D),B) )
& ( in(D,C)
| ~ in(subset_complement(A,D),B) ) ) ) )
& ( C = complements_of_subsets(A,B)
| ? [D] :
( element(D,powerset(A))
& ( ~ in(D,C)
| ~ in(subset_complement(A,D),B) )
& ( in(D,C)
| in(subset_complement(A,D),B) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f230]) ).
fof(f232,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| ! [C] :
( ~ element(C,powerset(powerset(A)))
| ( ( C != complements_of_subsets(A,B)
| ! [D] :
( ~ element(D,powerset(A))
| ( ( ~ in(D,C)
| in(subset_complement(A,D),B) )
& ( in(D,C)
| ~ in(subset_complement(A,D),B) ) ) ) )
& ( C = complements_of_subsets(A,B)
| ( element(sk0_16(C,B,A),powerset(A))
& ( ~ in(sk0_16(C,B,A),C)
| ~ in(subset_complement(A,sk0_16(C,B,A)),B) )
& ( in(sk0_16(C,B,A),C)
| in(subset_complement(A,sk0_16(C,B,A)),B) ) ) ) ) ) ),
inference(skolemization,[status(esa)],[f231]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( ~ element(X0,powerset(powerset(X1)))
| ~ element(X2,powerset(powerset(X1)))
| X2 != complements_of_subsets(X1,X0)
| ~ element(X3,powerset(X1))
| ~ in(X3,X2)
| in(subset_complement(X1,X3),X0) ),
inference(cnf_transformation,[status(esa)],[f232]) ).
fof(f245,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| element(complements_of_subsets(A,B),powerset(powerset(A))) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f246,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| element(complements_of_subsets(X1,X0),powerset(powerset(X1))) ),
inference(cnf_transformation,[status(esa)],[f245]) ).
fof(f247,plain,
! [A] : element(sk0_17(A),A),
inference(skolemization,[status(esa)],[f36]) ).
fof(f248,plain,
! [X0] : element(sk0_17(X0),X0),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f264,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| complements_of_subsets(A,complements_of_subsets(A,B)) = B ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f265,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| complements_of_subsets(X1,complements_of_subsets(X1,X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f283,plain,
! [A,B] :
( ~ element(B,powerset(A))
| ! [C] :
( ~ in(C,B)
| in(C,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f53]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| in(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f283]) ).
fof(f346,plain,
! [A,B] :
( ~ in(A,B)
| element(A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f74]) ).
fof(f347,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f346]) ).
fof(f351,plain,
powerset(empty_set) = singleton(empty_set),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f365,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f393,plain,
! [A,B] :
( ( ~ element(A,powerset(B))
| subset(A,B) )
& ( element(A,powerset(B))
| ~ subset(A,B) ) ),
inference(NNF_transformation,[status(esa)],[f92]) ).
fof(f394,plain,
( ! [A,B] :
( ~ element(A,powerset(B))
| subset(A,B) )
& ! [A,B] :
( element(A,powerset(B))
| ~ subset(A,B) ) ),
inference(miniscoping,[status(esa)],[f393]) ).
fof(f395,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f394]) ).
fof(f396,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f394]) ).
fof(f403,plain,
! [A] :
( ~ subset(A,empty_set)
| A = empty_set ),
inference(pre_NNF_transformation,[status(esa)],[f94]) ).
fof(f404,plain,
! [X0] :
( ~ subset(X0,empty_set)
| X0 = empty_set ),
inference(cnf_transformation,[status(esa)],[f403]) ).
fof(f412,plain,
? [A,B] :
( element(B,powerset(powerset(A)))
& B != empty_set
& complements_of_subsets(A,B) = empty_set ),
inference(pre_NNF_transformation,[status(esa)],[f99]) ).
fof(f413,plain,
( element(sk0_27,powerset(powerset(sk0_26)))
& sk0_27 != empty_set
& complements_of_subsets(sk0_26,sk0_27) = empty_set ),
inference(skolemization,[status(esa)],[f412]) ).
fof(f414,plain,
element(sk0_27,powerset(powerset(sk0_26))),
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f415,plain,
sk0_27 != empty_set,
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f416,plain,
complements_of_subsets(sk0_26,sk0_27) = empty_set,
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f487,plain,
! [X0] : subset(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f133]) ).
fof(f491,plain,
! [X0] : ~ in(X0,empty_set),
inference(destructive_equality_resolution,[status(esa)],[f146]) ).
fof(f493,plain,
! [X0,X1] :
( in(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f152]) ).
fof(f511,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(powerset(X1)))
| ~ element(complements_of_subsets(X1,X0),powerset(powerset(X1)))
| ~ element(X2,powerset(X1))
| ~ in(X2,complements_of_subsets(X1,X0))
| in(subset_complement(X1,X2),X0) ),
inference(destructive_equality_resolution,[status(esa)],[f233]) ).
fof(f521,plain,
! [X0] :
( in(X0,singleton(empty_set))
| ~ subset(X0,empty_set) ),
inference(paramodulation,[status(thm)],[f351,f493]) ).
fof(f526,plain,
( spl0_0
<=> element(sk0_27,powerset(powerset(sk0_26))) ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( ~ element(sk0_27,powerset(powerset(sk0_26)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( spl0_1
<=> element(empty_set,powerset(powerset(sk0_26))) ),
introduced(split_symbol_definition) ).
fof(f530,plain,
( element(empty_set,powerset(powerset(sk0_26)))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f531,plain,
( ~ element(empty_set,powerset(powerset(sk0_26)))
| spl0_1 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f551,plain,
! [X0] : subset(sk0_17(powerset(X0)),X0),
inference(resolution,[status(thm)],[f248,f395]) ).
fof(f553,plain,
! [X0,X1] :
( ~ in(powerset(X0),X1)
| ~ subset(X1,X0) ),
inference(resolution,[status(thm)],[f125,f493]) ).
fof(f554,plain,
( ~ subset(empty_set,powerset(sk0_26))
| spl0_1 ),
inference(resolution,[status(thm)],[f531,f396]) ).
fof(f555,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f554,f365]) ).
fof(f556,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f414]) ).
fof(f558,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f564,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(powerset(X1)))
| ~ element(X2,powerset(X1))
| ~ in(X2,complements_of_subsets(X1,X0))
| in(subset_complement(X1,X2),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f511,f246]) ).
fof(f570,plain,
sk0_17(powerset(empty_set)) = empty_set,
inference(resolution,[status(thm)],[f551,f404]) ).
fof(f571,plain,
sk0_17(singleton(empty_set)) = empty_set,
inference(forward_demodulation,[status(thm)],[f351,f570]) ).
fof(f576,plain,
! [X0] :
( ~ in(singleton(empty_set),X0)
| ~ subset(X0,empty_set) ),
inference(paramodulation,[status(thm)],[f351,f553]) ).
fof(f586,plain,
( spl0_4
<=> complements_of_subsets(sk0_26,empty_set) = sk0_27 ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( complements_of_subsets(sk0_26,empty_set) = sk0_27
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( ~ element(sk0_27,powerset(powerset(sk0_26)))
| complements_of_subsets(sk0_26,empty_set) = sk0_27 ),
inference(paramodulation,[status(thm)],[f416,f265]) ).
fof(f590,plain,
( ~ spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f589,f526,f586]) ).
fof(f601,plain,
( spl0_6
<=> subset(singleton(empty_set),empty_set) ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( ~ subset(singleton(empty_set),empty_set)
| ~ subset(singleton(empty_set),empty_set) ),
inference(resolution,[status(thm)],[f576,f521]) ).
fof(f605,plain,
~ spl0_6,
inference(split_clause,[status(thm)],[f604,f601]) ).
fof(f620,plain,
! [X0] :
( ~ in(X0,sk0_27)
| in(X0,powerset(sk0_26)) ),
inference(resolution,[status(thm)],[f284,f414]) ).
fof(f634,plain,
! [X0] :
( ~ in(X0,sk0_27)
| ~ in(powerset(sk0_26),X0) ),
inference(resolution,[status(thm)],[f620,f125]) ).
fof(f635,plain,
! [X0] :
( ~ in(X0,sk0_27)
| element(X0,powerset(sk0_26)) ),
inference(resolution,[status(thm)],[f620,f347]) ).
fof(f639,plain,
( spl0_11
<=> in(powerset(sk0_26),sk0_27) ),
introduced(split_symbol_definition) ).
fof(f642,plain,
( ~ in(powerset(sk0_26),sk0_27)
| ~ in(powerset(sk0_26),sk0_27) ),
inference(resolution,[status(thm)],[f634,f620]) ).
fof(f643,plain,
~ spl0_11,
inference(split_clause,[status(thm)],[f642,f639]) ).
fof(f699,plain,
! [X0] :
( ~ element(X0,powerset(sk0_26))
| ~ in(X0,complements_of_subsets(sk0_26,empty_set))
| in(subset_complement(sk0_26,X0),empty_set)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f564,f530]) ).
fof(f700,plain,
! [X0] :
( ~ element(X0,powerset(sk0_26))
| ~ in(X0,sk0_27)
| in(subset_complement(sk0_26,X0),empty_set)
| ~ spl0_4
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f587,f699]) ).
fof(f701,plain,
! [X0] :
( ~ in(X0,sk0_27)
| in(subset_complement(sk0_26,X0),empty_set)
| ~ spl0_4
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f635]) ).
fof(f757,plain,
! [X0] :
( ~ in(X0,sk0_27)
| ~ spl0_4
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f491]) ).
fof(f781,plain,
( spl0_17
<=> subset(empty_set,sk0_17(singleton(empty_set))) ),
introduced(split_symbol_definition) ).
fof(f783,plain,
( ~ subset(empty_set,sk0_17(singleton(empty_set)))
| spl0_17 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f786,plain,
( ~ subset(empty_set,empty_set)
| spl0_17 ),
inference(forward_demodulation,[status(thm)],[f571,f783]) ).
fof(f787,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f786,f365]) ).
fof(f788,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f787]) ).
fof(f1168,plain,
( spl0_51
<=> element(empty_set,powerset(powerset(empty_set))) ),
introduced(split_symbol_definition) ).
fof(f1170,plain,
( ~ element(empty_set,powerset(powerset(empty_set)))
| spl0_51 ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1176,plain,
( spl0_53
<=> subset(powerset(empty_set),singleton(empty_set)) ),
introduced(split_symbol_definition) ).
fof(f1178,plain,
( ~ subset(powerset(empty_set),singleton(empty_set))
| spl0_53 ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1184,plain,
( spl0_55
<=> subset(empty_set,powerset(empty_set)) ),
introduced(split_symbol_definition) ).
fof(f1186,plain,
( ~ subset(empty_set,powerset(empty_set))
| spl0_55 ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1214,plain,
( ~ subset(singleton(empty_set),singleton(empty_set))
| spl0_53 ),
inference(forward_demodulation,[status(thm)],[f351,f1178]) ).
fof(f1215,plain,
( $false
| spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1214,f487]) ).
fof(f1216,plain,
spl0_53,
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1277,plain,
( ~ subset(empty_set,singleton(empty_set))
| spl0_55 ),
inference(forward_demodulation,[status(thm)],[f351,f1186]) ).
fof(f1278,plain,
( $false
| spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1277,f365]) ).
fof(f1279,plain,
spl0_55,
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1280,plain,
( ~ element(empty_set,powerset(singleton(empty_set)))
| spl0_51 ),
inference(forward_demodulation,[status(thm)],[f351,f1170]) ).
fof(f1282,plain,
( ~ subset(empty_set,singleton(empty_set))
| spl0_51 ),
inference(resolution,[status(thm)],[f1280,f396]) ).
fof(f1283,plain,
( $false
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f365]) ).
fof(f1284,plain,
spl0_51,
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1462,plain,
( sk0_27 = empty_set
| ~ spl0_4
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f147,f757]) ).
fof(f1463,plain,
( $false
| ~ spl0_4
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f415]) ).
fof(f1464,plain,
( ~ spl0_4
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1463]) ).
fof(f1465,plain,
$false,
inference(sat_refutation,[status(thm)],[f556,f558,f590,f605,f643,f788,f1216,f1279,f1284,f1464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU174+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 19:44:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.20/0.41 % Refutation found
% 0.20/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.42 % Elapsed time: 0.065177 seconds
% 0.20/0.42 % CPU time: 0.352764 seconds
% 0.20/0.42 % Total memory used: 66.615 MB
% 0.20/0.42 % Net memory used: 66.436 MB
%------------------------------------------------------------------------------