TSTP Solution File: SET641+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET641+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 : n025.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 18:25:12 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 78 ( 15 unt; 0 def)
% Number of atoms : 331 ( 2 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 402 ( 149 ~; 143 |; 65 &)
% ( 11 <=>; 34 =>; 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 : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 141 ( 120 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,plain,
$false,
inference(subsumption_resolution,[],[f381,f123]) ).
fof(f123,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
fof(f381,plain,
~ ilf_type(sF15,set_type),
inference(resolution,[],[f380,f127]) ).
fof(f127,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f380,plain,
empty(power_set(sF15)),
inference(subsumption_resolution,[],[f376,f130]) ).
fof(f130,plain,
~ ilf_type(sK6,sF14),
inference(definition_folding,[],[f104,f129]) ).
fof(f129,plain,
relation_type(sK7,sK8) = sF14,
introduced(function_definition,[]) ).
fof(f104,plain,
~ ilf_type(sK6,relation_type(sK7,sK8)),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ilf_type(sK6,set_type)
& ilf_type(sK7,set_type)
& ~ ilf_type(sK6,relation_type(sK7,sK8))
& ilf_type(sK8,set_type)
& subset(sK6,cross_product(sK7,sK8)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f35,f67,f66,f65]) ).
fof(f65,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
& ilf_type(X2,set_type)
& subset(X0,cross_product(X1,X2)) ) ) )
=> ( ilf_type(sK6,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ~ ilf_type(sK6,relation_type(X1,X2))
& ilf_type(X2,set_type)
& subset(sK6,cross_product(X1,X2)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ~ ilf_type(sK6,relation_type(X1,X2))
& ilf_type(X2,set_type)
& subset(sK6,cross_product(X1,X2)) ) )
=> ( ilf_type(sK7,set_type)
& ? [X2] :
( ~ ilf_type(sK6,relation_type(sK7,X2))
& ilf_type(X2,set_type)
& subset(sK6,cross_product(sK7,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X2] :
( ~ ilf_type(sK6,relation_type(sK7,X2))
& ilf_type(X2,set_type)
& subset(sK6,cross_product(sK7,X2)) )
=> ( ~ ilf_type(sK6,relation_type(sK7,sK8))
& ilf_type(sK8,set_type)
& subset(sK6,cross_product(sK7,sK8)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
& ilf_type(X2,set_type)
& subset(X0,cross_product(X1,X2)) ) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
& subset(X0,cross_product(X1,X2))
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_3) ).
fof(f376,plain,
( ilf_type(sK6,sF14)
| empty(power_set(sF15)) ),
inference(resolution,[],[f370,f240]) ).
fof(f240,plain,
! [X0] :
( ~ ilf_type(X0,subset_type(sF15))
| ilf_type(X0,sF14) ),
inference(forward_demodulation,[],[f239,f129]) ).
fof(f239,plain,
! [X0] :
( ilf_type(X0,relation_type(sK7,sK8))
| ~ ilf_type(X0,subset_type(sF15)) ),
inference(subsumption_resolution,[],[f238,f103]) ).
fof(f103,plain,
ilf_type(sK8,set_type),
inference(cnf_transformation,[],[f68]) ).
fof(f238,plain,
! [X0] :
( ~ ilf_type(X0,subset_type(sF15))
| ilf_type(X0,relation_type(sK7,sK8))
| ~ ilf_type(sK8,set_type) ),
inference(subsumption_resolution,[],[f235,f105]) ).
fof(f105,plain,
ilf_type(sK7,set_type),
inference(cnf_transformation,[],[f68]) ).
fof(f235,plain,
! [X0] :
( ilf_type(X0,relation_type(sK7,sK8))
| ~ ilf_type(X0,subset_type(sF15))
| ~ ilf_type(sK7,set_type)
| ~ ilf_type(sK8,set_type) ),
inference(superposition,[],[f121,f131]) ).
fof(f131,plain,
cross_product(sK7,sK8) = sF15,
introduced(function_definition,[]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [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))) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) ) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [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)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f370,plain,
( ilf_type(sK6,subset_type(sF15))
| empty(power_set(sF15)) ),
inference(resolution,[],[f322,f190]) ).
fof(f190,plain,
! [X3,X4] :
( ~ member(X4,power_set(X3))
| ilf_type(X4,subset_type(X3))
| empty(power_set(X3)) ),
inference(subsumption_resolution,[],[f189,f123]) ).
fof(f189,plain,
! [X3,X4] :
( empty(power_set(X3))
| ~ ilf_type(X3,set_type)
| ilf_type(X4,subset_type(X3))
| ~ member(X4,power_set(X3)) ),
inference(subsumption_resolution,[],[f185,f123]) ).
fof(f185,plain,
! [X3,X4] :
( ~ ilf_type(X4,set_type)
| empty(power_set(X3))
| ~ member(X4,power_set(X3))
| ~ ilf_type(X3,set_type)
| ilf_type(X4,subset_type(X3)) ),
inference(resolution,[],[f125,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| empty(X1)
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f136,f123]) ).
fof(f136,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| empty(X1)
| ~ member(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f90,f123]) ).
fof(f90,plain,
! [X0,X1] :
( empty(X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) )
& ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| ~ ilf_type(X1,set_type)
| empty(X1) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f125,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X0,set_type)
| ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [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))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) ) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [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))) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f322,plain,
member(sK6,power_set(sF15)),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f321,plain,
( member(sK6,power_set(sF15))
| member(sK6,power_set(sF15)) ),
inference(resolution,[],[f262,f139]) ).
fof(f139,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f138,f123]) ).
fof(f138,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| member(X0,power_set(X1))
| member(sK2(X0,X1),X0) ),
inference(subsumption_resolution,[],[f87,f123]) ).
fof(f87,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| member(sK2(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [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) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f52,f53]) ).
fof(f53,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(f52,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [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) ) ) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [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) ) ) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> member(X0,power_set(X1)) ) ) ),
inference(flattening,[],[f45]) ).
fof(f45,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,[],[f10]) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f262,plain,
! [X1] :
( ~ member(sK2(X1,sF15),sK6)
| member(X1,power_set(sF15)) ),
inference(subsumption_resolution,[],[f261,f123]) ).
fof(f261,plain,
! [X1] :
( ~ ilf_type(sF15,set_type)
| ~ member(sK2(X1,sF15),sK6)
| member(X1,power_set(sF15)) ),
inference(subsumption_resolution,[],[f260,f123]) ).
fof(f260,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(sK2(X1,sF15),sK6)
| ~ ilf_type(sF15,set_type)
| member(X1,power_set(sF15)) ),
inference(resolution,[],[f256,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f54]) ).
fof(f256,plain,
! [X0] :
( member(X0,sF15)
| ~ member(X0,sK6) ),
inference(subsumption_resolution,[],[f255,f106]) ).
fof(f106,plain,
ilf_type(sK6,set_type),
inference(cnf_transformation,[],[f68]) ).
fof(f255,plain,
! [X0] :
( member(X0,sF15)
| ~ member(X0,sK6)
| ~ ilf_type(sK6,set_type) ),
inference(subsumption_resolution,[],[f254,f123]) ).
fof(f254,plain,
! [X0] :
( ~ member(X0,sK6)
| ~ ilf_type(sF15,set_type)
| member(X0,sF15)
| ~ ilf_type(sK6,set_type) ),
inference(subsumption_resolution,[],[f251,f123]) ).
fof(f251,plain,
! [X0] :
( ~ member(X0,sK6)
| member(X0,sF15)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(sK6,set_type)
| ~ ilf_type(sF15,set_type) ),
inference(resolution,[],[f92,f132]) ).
fof(f132,plain,
subset(sK6,sF15),
inference(definition_folding,[],[f102,f131]) ).
fof(f102,plain,
subset(sK6,cross_product(sK7,sK8)),
inference(cnf_transformation,[],[f68]) ).
fof(f92,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( subset(X0,X1)
| ( ilf_type(sK3(X0,X1),set_type)
& ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) )
=> ( ilf_type(sK3(X0,X1),set_type)
& ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,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) ) )
<=> subset(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.13 % 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 : n025.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 14:18:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (9431)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (9431)Instruction limit reached!
% 0.19/0.49 % (9431)------------------------------
% 0.19/0.49 % (9431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (9447)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)
% 0.19/0.49 % (9439)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)
% 0.19/0.50 % (9424)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)
% 0.19/0.50 % (9431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9431)Termination reason: Unknown
% 0.19/0.50 % (9431)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (9431)Memory used [KB]: 5500
% 0.19/0.50 % (9431)Time elapsed: 0.091 s
% 0.19/0.50 % (9431)Instructions burned: 8 (million)
% 0.19/0.50 % (9431)------------------------------
% 0.19/0.50 % (9431)------------------------------
% 0.19/0.51 % (9440)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)
% 0.19/0.51 % (9437)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (9439)First to succeed.
% 0.19/0.52 % (9439)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (9439)------------------------------
% 0.19/0.52 % (9439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9439)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (9439)Memory used [KB]: 1151
% 0.19/0.52 % (9439)Time elapsed: 0.119 s
% 0.19/0.52 % (9439)Instructions burned: 14 (million)
% 0.19/0.52 % (9439)------------------------------
% 0.19/0.52 % (9439)------------------------------
% 0.19/0.52 % (9423)Success in time 0.169 s
%------------------------------------------------------------------------------