TSTP Solution File: SET683+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET683+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_uns --cores 0 -t %d %s
% Computer : n029.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 18:21:52 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 79 ( 20 unt; 0 def)
% Number of atoms : 358 ( 8 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 445 ( 166 ~; 131 |; 93 &)
% ( 10 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 166 ( 133 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f220,plain,
$false,
inference(unit_resulting_resolution,[],[f121,f218,f113]) ).
fof(f113,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,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',p15) ).
fof(f218,plain,
empty(power_set(sK11)),
inference(unit_resulting_resolution,[],[f121,f121,f173,f213,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| empty(X1) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1) ) ),
inference(flattening,[],[f43]) ).
fof(f43,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,[],[f4]) ).
fof(f4,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',p4) ).
fof(f213,plain,
~ member(domain_of(sK12),power_set(sK11)),
inference(unit_resulting_resolution,[],[f121,f182,f121,f121,f212,f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1)
& ilf_type(sK1(X0,X1),set_type) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f60,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1)
& ilf_type(X3,set_type) )
=> ( member(sK1(X0,X1),X0)
& ~ member(sK1(X0,X1),X1)
& ilf_type(sK1(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1)
& ilf_type(X3,set_type) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1)
& ilf_type(X2,set_type) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
<=> member(X0,power_set(X1)) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f33]) ).
fof(f33,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,[],[f14]) ).
fof(f14,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',p14) ).
fof(f212,plain,
~ member(sK6(sK12),sK11),
inference(unit_resulting_resolution,[],[f130,f121,f121,f196,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ member(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f196,plain,
~ ilf_type(sK6(sK12),member_type(sK11)),
inference(unit_resulting_resolution,[],[f182,f156]) ).
fof(f156,plain,
! [X4] :
( ~ member(X4,domain_of(sK12))
| ~ ilf_type(X4,member_type(sK11)) ),
inference(backward_demodulation,[],[f133,f153]) ).
fof(f153,plain,
domain_of(sK12) = domain(sK11,sK10,sK12),
inference(unit_resulting_resolution,[],[f121,f121,f134,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).
fof(f134,plain,
ilf_type(sK12,relation_type(sK11,sK10)),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ilf_type(sK12,relation_type(sK11,sK10))
& ! [X4] :
( ~ member(X4,domain(sK11,sK10,sK12))
| ~ ilf_type(X4,member_type(sK11)) )
& member(sK13,range(sK11,sK10,sK12))
& ilf_type(sK13,member_type(sK10))
& ~ empty(sK11)
& ilf_type(sK11,set_type)
& ilf_type(sK10,set_type)
& ~ empty(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f31,f86,f85,f84,f83]) ).
fof(f83,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& ? [X3] :
( ! [X4] :
( ~ member(X4,domain(X1,X0,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,range(X1,X0,X2))
& ilf_type(X3,member_type(X0)) ) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type)
& ~ empty(X0) )
=> ( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(X1,sK10))
& ? [X3] :
( ! [X4] :
( ~ member(X4,domain(X1,sK10,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,range(X1,sK10,X2))
& ilf_type(X3,member_type(sK10)) ) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ilf_type(sK10,set_type)
& ~ empty(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(X1,sK10))
& ? [X3] :
( ! [X4] :
( ~ member(X4,domain(X1,sK10,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,range(X1,sK10,X2))
& ilf_type(X3,member_type(sK10)) ) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ilf_type(X2,relation_type(sK11,sK10))
& ? [X3] :
( ! [X4] :
( ~ member(X4,domain(sK11,sK10,X2))
| ~ ilf_type(X4,member_type(sK11)) )
& member(X3,range(sK11,sK10,X2))
& ilf_type(X3,member_type(sK10)) ) )
& ~ empty(sK11)
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X2] :
( ilf_type(X2,relation_type(sK11,sK10))
& ? [X3] :
( ! [X4] :
( ~ member(X4,domain(sK11,sK10,X2))
| ~ ilf_type(X4,member_type(sK11)) )
& member(X3,range(sK11,sK10,X2))
& ilf_type(X3,member_type(sK10)) ) )
=> ( ilf_type(sK12,relation_type(sK11,sK10))
& ? [X3] :
( ! [X4] :
( ~ member(X4,domain(sK11,sK10,sK12))
| ~ ilf_type(X4,member_type(sK11)) )
& member(X3,range(sK11,sK10,sK12))
& ilf_type(X3,member_type(sK10)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X3] :
( ! [X4] :
( ~ member(X4,domain(sK11,sK10,sK12))
| ~ ilf_type(X4,member_type(sK11)) )
& member(X3,range(sK11,sK10,sK12))
& ilf_type(X3,member_type(sK10)) )
=> ( ! [X4] :
( ~ member(X4,domain(sK11,sK10,sK12))
| ~ ilf_type(X4,member_type(sK11)) )
& member(sK13,range(sK11,sK10,sK12))
& ilf_type(sK13,member_type(sK10)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& ? [X3] :
( ! [X4] :
( ~ member(X4,domain(X1,X0,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,range(X1,X0,X2))
& ilf_type(X3,member_type(X0)) ) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,domain(X1,X0,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,range(X1,X0,X2))
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,range(X1,X0,X2))
=> ? [X4] :
( member(X4,domain(X1,X0,X2))
& ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,range(X1,X0,X2))
=> ? [X4] :
( member(X4,domain(X1,X0,X2))
& ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_50) ).
fof(f133,plain,
! [X4] :
( ~ ilf_type(X4,member_type(sK11))
| ~ member(X4,domain(sK11,sK10,sK12)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f130,plain,
~ empty(sK11),
inference(cnf_transformation,[],[f87]) ).
fof(f182,plain,
member(sK6(sK12),domain_of(sK12)),
inference(unit_resulting_resolution,[],[f121,f158,f180,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| ~ ilf_type(X0,set_type)
| member(sK6(X1),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( member(sK6(X1),domain_of(X1))
& ilf_type(sK6(X1),set_type) )
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f53,f71]) ).
fof(f71,plain,
! [X1] :
( ? [X2] :
( member(X2,domain_of(X1))
& ilf_type(X2,set_type) )
=> ( member(sK6(X1),domain_of(X1))
& ilf_type(sK6(X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ? [X2] :
( member(X2,domain_of(X1))
& ilf_type(X2,set_type) )
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( member(X2,domain_of(X1))
& ilf_type(X2,set_type) )
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,range_of(X1))
=> ? [X2] :
( member(X2,domain_of(X1))
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f180,plain,
ilf_type(sK12,binary_relation_type),
inference(unit_resulting_resolution,[],[f121,f177,f139]) ).
fof(f139,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(f177,plain,
relation_like(sK12),
inference(unit_resulting_resolution,[],[f121,f121,f154,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18) ).
fof(f154,plain,
ilf_type(sK12,subset_type(cross_product(sK11,sK10))),
inference(unit_resulting_resolution,[],[f121,f121,f134,f123]) ).
fof(f123,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(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(ennf_transformation,[],[f2]) ).
fof(f2,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',p2) ).
fof(f158,plain,
member(sK13,range_of(sK12)),
inference(backward_demodulation,[],[f132,f151]) ).
fof(f151,plain,
range(sK11,sK10,sK12) = range_of(sK12),
inference(unit_resulting_resolution,[],[f121,f121,f134,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f132,plain,
member(sK13,range(sK11,sK10,sK12)),
inference(cnf_transformation,[],[f87]) ).
fof(f173,plain,
ilf_type(domain_of(sK12),member_type(power_set(sK11))),
inference(unit_resulting_resolution,[],[f121,f121,f159,f136]) ).
fof(f136,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,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) )
& ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) ) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X1,member_type(power_set(X0)))
<=> ilf_type(X1,subset_type(X0)) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,member_type(power_set(X0)))
<=> ilf_type(X1,subset_type(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
fof(f159,plain,
ilf_type(domain_of(sK12),subset_type(sK11)),
inference(forward_demodulation,[],[f155,f153]) ).
fof(f155,plain,
ilf_type(domain(sK11,sK10,sK12),subset_type(sK11)),
inference(unit_resulting_resolution,[],[f121,f121,f134,f112]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(domain(X0,X1,X2),subset_type(X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f121,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET683+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:23:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 % (12237)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.48 % (12229)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.48 % (12229)Instruction limit reached!
% 0.20/0.48 % (12229)------------------------------
% 0.20/0.48 % (12229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (12247)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.49 % (12229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (12229)Termination reason: Unknown
% 0.20/0.49 % (12229)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (12229)Memory used [KB]: 1535
% 0.20/0.49 % (12229)Time elapsed: 0.004 s
% 0.20/0.49 % (12229)Instructions burned: 3 (million)
% 0.20/0.49 % (12229)------------------------------
% 0.20/0.49 % (12229)------------------------------
% 0.20/0.52 % (12237)Instruction limit reached!
% 0.20/0.52 % (12237)------------------------------
% 0.20/0.52 % (12237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12237)Termination reason: Unknown
% 0.20/0.52 % (12237)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (12237)Memory used [KB]: 6140
% 0.20/0.52 % (12237)Time elapsed: 0.115 s
% 0.20/0.52 % (12237)Instructions burned: 12 (million)
% 0.20/0.52 % (12237)------------------------------
% 0.20/0.52 % (12237)------------------------------
% 0.20/0.53 % (12247)Instruction limit reached!
% 0.20/0.53 % (12247)------------------------------
% 0.20/0.53 % (12247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12247)Termination reason: Unknown
% 0.20/0.53 % (12247)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (12247)Memory used [KB]: 6524
% 0.20/0.53 % (12247)Time elapsed: 0.125 s
% 0.20/0.53 % (12247)Instructions burned: 30 (million)
% 0.20/0.53 % (12247)------------------------------
% 0.20/0.53 % (12247)------------------------------
% 0.20/0.55 % (12236)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.56 % (12254)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56 % (12228)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.57 % (12228)Refutation not found, incomplete strategy% (12228)------------------------------
% 0.20/0.57 % (12228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (12228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (12228)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (12228)Memory used [KB]: 6012
% 0.20/0.57 % (12228)Time elapsed: 0.137 s
% 0.20/0.57 % (12228)Instructions burned: 5 (million)
% 0.20/0.57 % (12228)------------------------------
% 0.20/0.57 % (12228)------------------------------
% 0.20/0.57 % (12236)First to succeed.
% 0.20/0.57 % (12236)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (12236)------------------------------
% 0.20/0.58 % (12236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (12236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (12236)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (12236)Memory used [KB]: 6140
% 0.20/0.58 % (12236)Time elapsed: 0.135 s
% 0.20/0.58 % (12236)Instructions burned: 9 (million)
% 0.20/0.58 % (12236)------------------------------
% 0.20/0.58 % (12236)------------------------------
% 0.20/0.58 % (12226)Success in time 0.219 s
%------------------------------------------------------------------------------