TSTP Solution File: SET645+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET645+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 15:09:21 EDT 2024
% Result : Theorem 0.18s 0.37s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 83 ( 17 unt; 0 def)
% Number of atoms : 363 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 431 ( 151 ~; 134 |; 93 &)
% ( 14 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 216 ( 178 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1935,plain,
$false,
inference(subsumption_resolution,[],[f1880,f1877]) ).
fof(f1877,plain,
member(sK14,sK12),
inference(unit_resulting_resolution,[],[f1874,f172]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ sP10(X0,X1,X2,X3)
| member(X3,X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ( sP10(X0,X1,X2,X3)
| ~ member(X1,X0)
| ~ member(X3,X2) )
& ( ( member(X1,X0)
& member(X3,X2) )
| ~ sP10(X0,X1,X2,X3) ) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X3,X1,X2,X0] :
( ( sP10(X3,X1,X2,X0)
| ~ member(X1,X3)
| ~ member(X0,X2) )
& ( ( member(X1,X3)
& member(X0,X2) )
| ~ sP10(X3,X1,X2,X0) ) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X3,X1,X2,X0] :
( ( sP10(X3,X1,X2,X0)
| ~ member(X1,X3)
| ~ member(X0,X2) )
& ( ( member(X1,X3)
& member(X0,X2) )
| ~ sP10(X3,X1,X2,X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X3,X1,X2,X0] :
( sP10(X3,X1,X2,X0)
<=> ( member(X1,X3)
& member(X0,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1874,plain,
sP10(sK13,sK15,sK12,sK14),
inference(unit_resulting_resolution,[],[f223,f1091,f170]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ sP11(X0,X1,X2,X3)
| ~ member(ordered_pair(X0,X2),cross_product(X1,X3))
| sP10(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( ( member(ordered_pair(X0,X2),cross_product(X1,X3))
| ~ sP10(X3,X2,X1,X0) )
& ( sP10(X3,X2,X1,X0)
| ~ member(ordered_pair(X0,X2),cross_product(X1,X3)) ) )
| ~ sP11(X0,X1,X2,X3) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X0,X2,X1,X3] :
( ( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ sP10(X3,X1,X2,X0) )
& ( sP10(X3,X1,X2,X0)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ) )
| ~ sP11(X0,X2,X1,X3) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X2,X1,X3] :
( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
<=> sP10(X3,X1,X2,X0) )
| ~ sP11(X0,X2,X1,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1091,plain,
member(ordered_pair(sK14,sK15),cross_product(sK12,sK13)),
inference(unit_resulting_resolution,[],[f122,f1049,f213]) ).
fof(f213,plain,
! [X3,X0,X1] :
( ~ sP8(X0,X1)
| ~ member(X3,X1)
| member(X3,X0) ),
inference(subsumption_resolution,[],[f163,f124]) ).
fof(f124,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f163,plain,
! [X3,X0,X1] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( sP8(X0,X1)
| ( ~ member(sK22(X0,X1),X0)
& member(sK22(X0,X1),X1)
& ilf_type(sK22(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
| ~ sP8(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f100,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1)
& ilf_type(X2,set_type) )
=> ( ~ member(sK22(X0,X1),X0)
& member(sK22(X0,X1),X1)
& ilf_type(sK22(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0,X1] :
( ( sP8(X0,X1)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
| ~ sP8(X0,X1) ) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X1,X0] :
( ( sP8(X1,X0)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ sP8(X1,X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( sP8(X1,X0)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1049,plain,
sP8(cross_product(sK12,sK13),sK16),
inference(unit_resulting_resolution,[],[f215,f1045,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ sP9(X0,X1)
| ~ member(X0,power_set(X1))
| sP8(X1,X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( ( member(X0,power_set(X1))
| ~ sP8(X1,X0) )
& ( sP8(X1,X0)
| ~ member(X0,power_set(X1)) ) )
| ~ sP9(X0,X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( member(X0,power_set(X1))
<=> sP8(X1,X0) )
| ~ sP9(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1045,plain,
member(sK16,power_set(cross_product(sK12,sK13))),
inference(unit_resulting_resolution,[],[f197,f995,f231]) ).
fof(f231,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f230,f124]) ).
fof(f230,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f180,f124]) ).
fof(f180,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(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [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) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
fof(f995,plain,
ilf_type(sK16,member_type(power_set(cross_product(sK12,sK13)))),
inference(unit_resulting_resolution,[],[f990,f219]) ).
fof(f219,plain,
! [X0,X1] :
( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) ),
inference(subsumption_resolution,[],[f218,f124]) ).
fof(f218,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f168,f124]) ).
fof(f168,plain,
! [X0,X1] :
( 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(cnf_transformation,[],[f103]) ).
fof(f103,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,[],[f40]) ).
fof(f40,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,[],[f10]) ).
fof(f10,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',p10) ).
fof(f990,plain,
ilf_type(sK16,subset_type(cross_product(sK12,sK13))),
inference(unit_resulting_resolution,[],[f121,f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f206,f124]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f150,f124]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [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) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,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,[],[f4]) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f121,plain,
ilf_type(sK16,relation_type(sK12,sK13)),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( ~ member(sK15,sK13)
| ~ member(sK14,sK12) )
& member(ordered_pair(sK14,sK15),sK16)
& ilf_type(sK16,relation_type(sK12,sK13))
& ilf_type(sK15,set_type)
& ilf_type(sK14,set_type)
& ilf_type(sK13,set_type)
& ilf_type(sK12,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f26,f73,f72,f71,f70,f69]) ).
fof(f69,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ member(X3,X1)
| ~ member(X2,X0) )
& member(ordered_pair(X2,X3),X4)
& ilf_type(X4,relation_type(X0,X1)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ member(X3,X1)
| ~ member(X2,sK12) )
& member(ordered_pair(X2,X3),X4)
& ilf_type(X4,relation_type(sK12,X1)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(sK12,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ member(X3,X1)
| ~ member(X2,sK12) )
& member(ordered_pair(X2,X3),X4)
& ilf_type(X4,relation_type(sK12,X1)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ member(X3,sK13)
| ~ member(X2,sK12) )
& member(ordered_pair(X2,X3),X4)
& ilf_type(X4,relation_type(sK12,sK13)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(sK13,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ member(X3,sK13)
| ~ member(X2,sK12) )
& member(ordered_pair(X2,X3),X4)
& ilf_type(X4,relation_type(sK12,sK13)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( ? [X4] :
( ( ~ member(X3,sK13)
| ~ member(sK14,sK12) )
& member(ordered_pair(sK14,X3),X4)
& ilf_type(X4,relation_type(sK12,sK13)) )
& ilf_type(X3,set_type) )
& ilf_type(sK14,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X3] :
( ? [X4] :
( ( ~ member(X3,sK13)
| ~ member(sK14,sK12) )
& member(ordered_pair(sK14,X3),X4)
& ilf_type(X4,relation_type(sK12,sK13)) )
& ilf_type(X3,set_type) )
=> ( ? [X4] :
( ( ~ member(sK15,sK13)
| ~ member(sK14,sK12) )
& member(ordered_pair(sK14,sK15),X4)
& ilf_type(X4,relation_type(sK12,sK13)) )
& ilf_type(sK15,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X4] :
( ( ~ member(sK15,sK13)
| ~ member(sK14,sK12) )
& member(ordered_pair(sK14,sK15),X4)
& ilf_type(X4,relation_type(sK12,sK13)) )
=> ( ( ~ member(sK15,sK13)
| ~ member(sK14,sK12) )
& member(ordered_pair(sK14,sK15),sK16)
& ilf_type(sK16,relation_type(sK12,sK13)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ member(X3,X1)
| ~ member(X2,X0) )
& member(ordered_pair(X2,X3),X4)
& ilf_type(X4,relation_type(X0,X1)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ member(X3,X1)
| ~ member(X2,X0) )
& member(ordered_pair(X2,X3),X4)
& ilf_type(X4,relation_type(X0,X1)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f22]) ).
fof(f22,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_7) ).
fof(f197,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f126,f124]) ).
fof(f126,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,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',p14) ).
fof(f215,plain,
! [X0,X1] : sP9(X0,X1),
inference(subsumption_resolution,[],[f214,f124]) ).
fof(f214,plain,
! [X0,X1] :
( sP9(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f167,f124]) ).
fof(f167,plain,
! [X0,X1] :
( sP9(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( sP9(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f39,f64,f63]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(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,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
fof(f122,plain,
member(ordered_pair(sK14,sK15),sK16),
inference(cnf_transformation,[],[f74]) ).
fof(f223,plain,
! [X2,X3,X0,X1] : sP11(X0,X2,X1,X3),
inference(subsumption_resolution,[],[f222,f124]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( sP11(X0,X2,X1,X3)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f221,f124]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( sP11(X0,X2,X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f220,f124]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( sP11(X0,X2,X1,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f175,f124]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( sP11(X0,X2,X1,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( sP11(X0,X2,X1,X3)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f41,f67,f66]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
<=> ( member(X1,X3)
& member(X0,X2) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ 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)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(ordered_pair(X0,X1),cross_product(X2,X3))
<=> ( member(X1,X3)
& member(X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f1880,plain,
~ member(sK14,sK12),
inference(unit_resulting_resolution,[],[f1876,f123]) ).
fof(f123,plain,
( ~ member(sK15,sK13)
| ~ member(sK14,sK12) ),
inference(cnf_transformation,[],[f74]) ).
fof(f1876,plain,
member(sK15,sK13),
inference(unit_resulting_resolution,[],[f1874,f173]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ sP10(X0,X1,X2,X3)
| member(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET645+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.32 % Computer : n032.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Apr 30 01:11:51 EDT 2024
% 0.13/0.32 % CPUTime :
% 0.18/0.33 % (1742)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.34 % (1745)WARNING: value z3 for option sas not known
% 0.18/0.34 % (1749)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.18/0.34 % (1747)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.18/0.34 % (1745)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.34 % (1744)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.34 % (1748)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.18/0.34 % (1746)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.34 % (1743)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [3]
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 % (1749)First to succeed.
% 0.18/0.37 TRYING [4]
% 0.18/0.37 % (1749)Refutation found. Thanks to Tanya!
% 0.18/0.37 % SZS status Theorem for theBenchmark
% 0.18/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.37 % (1749)------------------------------
% 0.18/0.37 % (1749)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.37 % (1749)Termination reason: Refutation
% 0.18/0.37
% 0.18/0.37 % (1749)Memory used [KB]: 1315
% 0.18/0.37 % (1749)Time elapsed: 0.025 s
% 0.18/0.37 % (1749)Instructions burned: 58 (million)
% 0.18/0.37 % (1749)------------------------------
% 0.18/0.37 % (1749)------------------------------
% 0.18/0.37 % (1742)Success in time 0.038 s
%------------------------------------------------------------------------------