TSTP Solution File: SET656+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET656+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n016.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 : Wed Aug 31 18:25:15 EDT 2022
% Result : Theorem 1.49s 0.55s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 83 ( 16 unt; 0 def)
% Number of atoms : 330 ( 23 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 408 ( 161 ~; 153 |; 52 &)
% ( 11 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 158 ( 140 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f818,plain,
$false,
inference(subsumption_resolution,[],[f817,f200]) ).
fof(f200,plain,
sK15 != sF19,
inference(definition_folding,[],[f177,f199,f198]) ).
fof(f198,plain,
cross_product(sK13,sK14) = sF18,
introduced(function_definition,[]) ).
fof(f199,plain,
sF19 = intersection(sK15,sF18),
introduced(function_definition,[]) ).
fof(f177,plain,
sK15 != intersection(sK15,cross_product(sK13,sK14)),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ilf_type(sK13,set_type)
& sK15 != intersection(sK15,cross_product(sK13,sK14))
& ilf_type(sK15,relation_type(sK13,sK14))
& ilf_type(sK14,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f36,f111,f110,f109]) ).
fof(f109,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( intersection(X2,cross_product(X0,X1)) != X2
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) ) )
=> ( ilf_type(sK13,set_type)
& ? [X1] :
( ? [X2] :
( intersection(X2,cross_product(sK13,X1)) != X2
& ilf_type(X2,relation_type(sK13,X1)) )
& ilf_type(X1,set_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X1] :
( ? [X2] :
( intersection(X2,cross_product(sK13,X1)) != X2
& ilf_type(X2,relation_type(sK13,X1)) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( intersection(X2,cross_product(sK13,sK14)) != X2
& ilf_type(X2,relation_type(sK13,sK14)) )
& ilf_type(sK14,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X2] :
( intersection(X2,cross_product(sK13,sK14)) != X2
& ilf_type(X2,relation_type(sK13,sK14)) )
=> ( sK15 != intersection(sK15,cross_product(sK13,sK14))
& ilf_type(sK15,relation_type(sK13,sK14)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( intersection(X2,cross_product(X0,X1)) != X2
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> intersection(X2,cross_product(X0,X1)) = X2 ) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> intersection(X2,cross_product(X0,X1)) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_18) ).
fof(f817,plain,
sK15 = sF19,
inference(backward_demodulation,[],[f199,f816]) ).
fof(f816,plain,
sK15 = intersection(sK15,sF18),
inference(resolution,[],[f814,f261]) ).
fof(f261,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| intersection(X0,X1) = X0 ),
inference(subsumption_resolution,[],[f260,f168]) ).
fof(f168,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30) ).
fof(f260,plain,
! [X0,X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f148,f168]) ).
fof(f148,plain,
! [X0,X1] :
( intersection(X0,X1) = X0
| ~ ilf_type(X0,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ subset(X0,X1)
| intersection(X0,X1) = X0
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
=> intersection(X0,X1) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f814,plain,
subset(sK15,sF18),
inference(duplicate_literal_removal,[],[f810]) ).
fof(f810,plain,
( subset(sK15,sF18)
| subset(sK15,sF18) ),
inference(resolution,[],[f757,f233]) ).
fof(f233,plain,
! [X0,X1] :
( member(sK10(X0,X1),X0)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f232,f168]) ).
fof(f232,plain,
! [X0,X1] :
( member(sK10(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f166,f168]) ).
fof(f166,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| member(sK10(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( subset(X0,X1)
| ( ilf_type(sK10(X0,X1),set_type)
& member(sK10(X0,X1),X0)
& ~ member(sK10(X0,X1),X1) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f102,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
=> ( ilf_type(sK10(X0,X1),set_type)
& member(sK10(X0,X1),X0)
& ~ member(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).
fof(f757,plain,
! [X1] :
( ~ member(sK10(X1,sF18),sK15)
| subset(X1,sF18) ),
inference(resolution,[],[f750,f240]) ).
fof(f240,plain,
! [X0,X1] :
( ~ member(sK10(X0,X1),X1)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f239,f168]) ).
fof(f239,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ member(sK10(X0,X1),X1) ),
inference(subsumption_resolution,[],[f165,f168]) ).
fof(f165,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ member(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f750,plain,
! [X0] :
( member(X0,sF18)
| ~ member(X0,sK15) ),
inference(resolution,[],[f748,f267]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(subsumption_resolution,[],[f266,f168]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ),
inference(subsumption_resolution,[],[f265,f168]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ ilf_type(X0,set_type)
| ~ member(X0,power_set(X1))
| member(X2,X1)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f130,f168]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0)
& ilf_type(sK2(X0,X1),set_type) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0)
& ilf_type(X3,set_type) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0)
& ilf_type(sK2(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X3] :
( ~ member(X3,X1)
& member(X3,X0)
& ilf_type(X3,set_type) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> member(X0,power_set(X1)) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> member(X0,power_set(X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) )
<=> member(X0,power_set(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f748,plain,
member(sK15,power_set(sF18)),
inference(resolution,[],[f721,f202]) ).
fof(f202,plain,
ilf_type(sK15,sF20),
inference(definition_folding,[],[f176,f201]) ).
fof(f201,plain,
sF20 = relation_type(sK13,sK14),
introduced(function_definition,[]) ).
fof(f176,plain,
ilf_type(sK15,relation_type(sK13,sK14)),
inference(cnf_transformation,[],[f112]) ).
fof(f721,plain,
! [X3] :
( ~ ilf_type(X3,sF20)
| member(X3,power_set(sF18)) ),
inference(resolution,[],[f583,f610]) ).
fof(f610,plain,
! [X0] :
( ilf_type(X0,subset_type(sF18))
| ~ ilf_type(X0,sF20) ),
inference(forward_demodulation,[],[f609,f201]) ).
fof(f609,plain,
! [X0] :
( ilf_type(X0,subset_type(sF18))
| ~ ilf_type(X0,relation_type(sK13,sK14)) ),
inference(subsumption_resolution,[],[f608,f168]) ).
fof(f608,plain,
! [X0] :
( ~ ilf_type(X0,relation_type(sK13,sK14))
| ~ ilf_type(sK13,set_type)
| ilf_type(X0,subset_type(sF18)) ),
inference(subsumption_resolution,[],[f605,f175]) ).
fof(f175,plain,
ilf_type(sK14,set_type),
inference(cnf_transformation,[],[f112]) ).
fof(f605,plain,
! [X0] :
( ~ ilf_type(X0,relation_type(sK13,sK14))
| ilf_type(X0,subset_type(sF18))
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK13,set_type) ),
inference(superposition,[],[f182,f198]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
fof(f583,plain,
! [X2,X3] :
( ~ ilf_type(X2,subset_type(X3))
| member(X2,power_set(X3)) ),
inference(subsumption_resolution,[],[f582,f168]) ).
fof(f582,plain,
! [X2,X3] :
( ~ ilf_type(X3,set_type)
| member(X2,power_set(X3))
| ~ ilf_type(X2,subset_type(X3)) ),
inference(subsumption_resolution,[],[f581,f238]) ).
fof(f238,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f170,f168]) ).
fof(f170,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).
fof(f581,plain,
! [X2,X3] :
( empty(power_set(X3))
| ~ ilf_type(X3,set_type)
| member(X2,power_set(X3))
| ~ ilf_type(X2,subset_type(X3)) ),
inference(subsumption_resolution,[],[f580,f168]) ).
fof(f580,plain,
! [X2,X3] :
( ~ ilf_type(X2,set_type)
| member(X2,power_set(X3))
| ~ ilf_type(X3,set_type)
| empty(power_set(X3))
| ~ ilf_type(X2,subset_type(X3)) ),
inference(resolution,[],[f162,f231]) ).
fof(f231,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| empty(X1)
| member(X0,X1) ),
inference(subsumption_resolution,[],[f230,f168]) ).
fof(f230,plain,
! [X0,X1] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f138,f168]) ).
fof(f138,plain,
! [X0,X1] :
( empty(X1)
| ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f162,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET656+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:33:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (23847)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50 % (23839)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50 % (23830)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (23836)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (23830)Instruction limit reached!
% 0.20/0.51 % (23830)------------------------------
% 0.20/0.51 % (23830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23830)Termination reason: Unknown
% 0.20/0.51 % (23830)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (23830)Memory used [KB]: 5500
% 0.20/0.51 % (23830)Time elapsed: 0.070 s
% 0.20/0.51 % (23830)Instructions burned: 8 (million)
% 0.20/0.51 % (23830)------------------------------
% 0.20/0.51 % (23830)------------------------------
% 0.20/0.51 % (23827)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (23834)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (23825)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (23829)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (23835)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (23823)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (23848)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (23837)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (23842)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (23851)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53 % (23832)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (23838)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (23832)Instruction limit reached!
% 0.20/0.53 % (23832)------------------------------
% 0.20/0.53 % (23832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (23832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (23832)Termination reason: Unknown
% 0.20/0.53 % (23832)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (23832)Memory used [KB]: 895
% 0.20/0.53 % (23832)Time elapsed: 0.002 s
% 0.20/0.53 % (23832)Instructions burned: 3 (million)
% 0.20/0.53 % (23832)------------------------------
% 0.20/0.53 % (23832)------------------------------
% 0.20/0.54 % (23826)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (23840)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (23849)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (23846)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.49/0.54 % (23839)First to succeed.
% 1.49/0.54 % (23828)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.49/0.54 % (23852)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.49/0.55 % (23844)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.49/0.55 % (23841)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.55 TRYING [1]
% 1.49/0.55 % (23824)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.49/0.55 TRYING [2]
% 1.49/0.55 % (23845)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.49/0.55 TRYING [1]
% 1.49/0.55 % (23839)Refutation found. Thanks to Tanya!
% 1.49/0.55 % SZS status Theorem for theBenchmark
% 1.49/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.55 % (23839)------------------------------
% 1.49/0.55 % (23839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (23839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (23839)Termination reason: Refutation
% 1.49/0.55
% 1.49/0.55 % (23839)Memory used [KB]: 1663
% 1.49/0.55 % (23839)Time elapsed: 0.094 s
% 1.49/0.55 % (23839)Instructions burned: 32 (million)
% 1.49/0.55 % (23839)------------------------------
% 1.49/0.55 % (23839)------------------------------
% 1.49/0.55 % (23819)Success in time 0.2 s
%------------------------------------------------------------------------------