TSTP Solution File: SET660+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET660+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 : n005.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 1.96s 0.62s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 148 ( 18 unt; 0 def)
% Number of atoms : 673 ( 60 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 837 ( 312 ~; 315 |; 136 &)
% ( 19 <=>; 53 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 332 ( 273 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f995,plain,
$false,
inference(subsumption_resolution,[],[f991,f931]) ).
fof(f931,plain,
member(sK15,sK13),
inference(trivial_inequality_removal,[],[f877]) ).
fof(f877,plain,
( sK13 != sK13
| member(sK15,sK13) ),
inference(backward_demodulation,[],[f215,f875]) ).
fof(f875,plain,
sF18 = sK13,
inference(subsumption_resolution,[],[f874,f831]) ).
fof(f831,plain,
( sF18 = sK13
| subset(sK13,sF18) ),
inference(backward_demodulation,[],[f633,f819]) ).
fof(f819,plain,
sF18 = range_of(sK14),
inference(forward_demodulation,[],[f817,f214]) ).
fof(f214,plain,
sF18 = range(sK12,sK13,sK14),
introduced(function_definition,[]) ).
fof(f817,plain,
range_of(sK14) = range(sK12,sK13,sK14),
inference(resolution,[],[f484,f221]) ).
fof(f221,plain,
ilf_type(sK14,sF19),
inference(definition_folding,[],[f187,f220]) ).
fof(f220,plain,
sF19 = relation_type(sK12,sK13),
introduced(function_definition,[]) ).
fof(f187,plain,
ilf_type(sK14,relation_type(sK12,sK13)),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ilf_type(sK12,set_type)
& ilf_type(sK13,set_type)
& ( sK13 != range(sK12,sK13,sK14)
| ( member(sK15,sK13)
& ilf_type(sK15,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,sK15),sK14)
| ~ ilf_type(X4,set_type) ) ) )
& ( sK13 = range(sK12,sK13,sK14)
| ! [X5] :
( ~ member(X5,sK13)
| ~ ilf_type(X5,set_type)
| ( member(ordered_pair(sK16(X5),X5),sK14)
& ilf_type(sK16(X5),set_type) ) ) )
& ilf_type(sK14,relation_type(sK12,sK13)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f123,f128,f127,f126,f125,f124]) ).
fof(f124,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( range(X0,X1,X2) != X1
| ? [X3] :
( member(X3,X1)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,set_type) ) ) )
& ( range(X0,X1,X2) = X1
| ! [X5] :
( ~ member(X5,X1)
| ~ ilf_type(X5,set_type)
| ? [X6] :
( member(ordered_pair(X6,X5),X2)
& ilf_type(X6,set_type) ) ) )
& ilf_type(X2,relation_type(X0,X1)) ) ) )
=> ( ilf_type(sK12,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( range(sK12,X1,X2) != X1
| ? [X3] :
( member(X3,X1)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,set_type) ) ) )
& ( range(sK12,X1,X2) = X1
| ! [X5] :
( ~ member(X5,X1)
| ~ ilf_type(X5,set_type)
| ? [X6] :
( member(ordered_pair(X6,X5),X2)
& ilf_type(X6,set_type) ) ) )
& ilf_type(X2,relation_type(sK12,X1)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( range(sK12,X1,X2) != X1
| ? [X3] :
( member(X3,X1)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,set_type) ) ) )
& ( range(sK12,X1,X2) = X1
| ! [X5] :
( ~ member(X5,X1)
| ~ ilf_type(X5,set_type)
| ? [X6] :
( member(ordered_pair(X6,X5),X2)
& ilf_type(X6,set_type) ) ) )
& ilf_type(X2,relation_type(sK12,X1)) ) )
=> ( ilf_type(sK13,set_type)
& ? [X2] :
( ( range(sK12,sK13,X2) != sK13
| ? [X3] :
( member(X3,sK13)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,set_type) ) ) )
& ( range(sK12,sK13,X2) = sK13
| ! [X5] :
( ~ member(X5,sK13)
| ~ ilf_type(X5,set_type)
| ? [X6] :
( member(ordered_pair(X6,X5),X2)
& ilf_type(X6,set_type) ) ) )
& ilf_type(X2,relation_type(sK12,sK13)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X2] :
( ( range(sK12,sK13,X2) != sK13
| ? [X3] :
( member(X3,sK13)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,set_type) ) ) )
& ( range(sK12,sK13,X2) = sK13
| ! [X5] :
( ~ member(X5,sK13)
| ~ ilf_type(X5,set_type)
| ? [X6] :
( member(ordered_pair(X6,X5),X2)
& ilf_type(X6,set_type) ) ) )
& ilf_type(X2,relation_type(sK12,sK13)) )
=> ( ( sK13 != range(sK12,sK13,sK14)
| ? [X3] :
( member(X3,sK13)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),sK14)
| ~ ilf_type(X4,set_type) ) ) )
& ( sK13 = range(sK12,sK13,sK14)
| ! [X5] :
( ~ member(X5,sK13)
| ~ ilf_type(X5,set_type)
| ? [X6] :
( member(ordered_pair(X6,X5),sK14)
& ilf_type(X6,set_type) ) ) )
& ilf_type(sK14,relation_type(sK12,sK13)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X3] :
( member(X3,sK13)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),sK14)
| ~ ilf_type(X4,set_type) ) )
=> ( member(sK15,sK13)
& ilf_type(sK15,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,sK15),sK14)
| ~ ilf_type(X4,set_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X5] :
( ? [X6] :
( member(ordered_pair(X6,X5),sK14)
& ilf_type(X6,set_type) )
=> ( member(ordered_pair(sK16(X5),X5),sK14)
& ilf_type(sK16(X5),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( range(X0,X1,X2) != X1
| ? [X3] :
( member(X3,X1)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,set_type) ) ) )
& ( range(X0,X1,X2) = X1
| ! [X5] :
( ~ member(X5,X1)
| ~ ilf_type(X5,set_type)
| ? [X6] :
( member(ordered_pair(X6,X5),X2)
& ilf_type(X6,set_type) ) ) )
& ilf_type(X2,relation_type(X0,X1)) ) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( range(X0,X1,X2) != X1
| ? [X3] :
( member(X3,X1)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,set_type) ) ) )
& ( range(X0,X1,X2) = X1
| ! [X3] :
( ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) ) ) )
& ilf_type(X2,relation_type(X0,X1)) ) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( range(X0,X1,X2) != X1
| ? [X3] :
( member(X3,X1)
& ilf_type(X3,set_type)
& ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,set_type) ) ) )
& ( range(X0,X1,X2) = X1
| ! [X3] :
( ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) ) ) )
& ilf_type(X2,relation_type(X0,X1)) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( ! [X3] :
( ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) ) )
<~> range(X0,X1,X2) = X1 )
& ilf_type(X2,relation_type(X0,X1)) ) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) = X1
<~> ! [X3] :
( ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) ) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( range(X0,X1,X2) = X1
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( range(X0,X1,X2) = X1
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_23) ).
fof(f484,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| range_of(X0) = range(sK12,sK13,X0) ),
inference(superposition,[],[f455,f220]) ).
fof(f455,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,relation_type(X0,X2))
| range_of(X1) = range(X0,X2,X1) ),
inference(subsumption_resolution,[],[f448,f204]) ).
fof(f204,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f448,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,relation_type(X0,X2))
| ~ ilf_type(X0,set_type)
| range_of(X1) = range(X0,X2,X1) ),
inference(resolution,[],[f154,f204]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
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_of(X2) = range(X0,X1,X2) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range_of(X2) = range(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).
fof(f633,plain,
( subset(sK13,range_of(sK14))
| sF18 = sK13 ),
inference(duplicate_literal_removal,[],[f632]) ).
fof(f632,plain,
( subset(sK13,range_of(sK14))
| subset(sK13,range_of(sK14))
| sF18 = sK13 ),
inference(resolution,[],[f564,f244]) ).
fof(f244,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f243,f204]) ).
fof(f243,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f152,f204]) ).
fof(f152,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ilf_type(sK3(X0,X1),set_type)
& member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
=> ( ilf_type(sK3(X0,X1),set_type)
& member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ! [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) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [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) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f72]) ).
fof(f72,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,[],[f20]) ).
fof(f20,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',p20) ).
fof(f564,plain,
! [X1] :
( ~ member(sK3(X1,range_of(sK14)),sK13)
| subset(X1,range_of(sK14))
| sF18 = sK13 ),
inference(resolution,[],[f542,f292]) ).
fof(f292,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f291,f204]) ).
fof(f291,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f151,f204]) ).
fof(f151,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ member(sK3(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f96]) ).
fof(f542,plain,
! [X0] :
( member(X0,range_of(sK14))
| ~ member(X0,sK13)
| sF18 = sK13 ),
inference(resolution,[],[f539,f245]) ).
fof(f245,plain,
! [X5] :
( member(ordered_pair(sK16(X5),X5),sK14)
| ~ member(X5,sK13)
| sF18 = sK13 ),
inference(subsumption_resolution,[],[f218,f204]) ).
fof(f218,plain,
! [X5] :
( member(ordered_pair(sK16(X5),X5),sK14)
| ~ ilf_type(X5,set_type)
| sF18 = sK13
| ~ member(X5,sK13) ),
inference(definition_folding,[],[f189,f214]) ).
fof(f189,plain,
! [X5] :
( sK13 = range(sK12,sK13,sK14)
| ~ member(X5,sK13)
| ~ ilf_type(X5,set_type)
| member(ordered_pair(sK16(X5),X5),sK14) ),
inference(cnf_transformation,[],[f129]) ).
fof(f539,plain,
! [X3,X4] :
( ~ member(ordered_pair(X3,X4),sK14)
| member(X4,range_of(sK14)) ),
inference(resolution,[],[f536,f239]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ member(ordered_pair(X2,X1),X0)
| member(X1,range_of(X0)) ),
inference(subsumption_resolution,[],[f238,f204]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ member(ordered_pair(X2,X1),X0)
| member(X1,range_of(X0))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f147,f204]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,set_type)
| member(X1,range_of(X0))
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X2,X1),X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(sK2(X0,X1),X1),X0)
& ilf_type(sK2(X0,X1),set_type) )
| ~ member(X1,range_of(X0)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X3,X1),X0)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(sK2(X0,X1),X1),X0)
& ilf_type(sK2(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X3,X1),X0)
& ilf_type(X3,set_type) )
| ~ member(X1,range_of(X0)) ) ) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) )
| ~ member(X1,range_of(X0)) ) ) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X1,range_of(X0))
<=> ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) ) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,range_of(X0))
<=> ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f536,plain,
ilf_type(sK14,binary_relation_type),
inference(resolution,[],[f533,f266]) ).
fof(f266,plain,
! [X0] :
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(subsumption_resolution,[],[f224,f204]) ).
fof(f224,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f533,plain,
relation_like(sK14),
inference(resolution,[],[f503,f221]) ).
fof(f503,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| relation_like(X0) ),
inference(superposition,[],[f437,f220]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f436,f274]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f273,f204]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f196,f204]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [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) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,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,[],[f7]) ).
fof(f7,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',p7) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| relation_like(X0) ),
inference(subsumption_resolution,[],[f432,f204]) ).
fof(f432,plain,
! [X2,X0,X1] :
( relation_like(X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(resolution,[],[f184,f204]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,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/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f874,plain,
( sF18 = sK13
| ~ subset(sK13,sF18) ),
inference(resolution,[],[f811,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| ~ subset(X1,X0) ),
inference(subsumption_resolution,[],[f232,f204]) ).
fof(f232,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| ~ subset(X1,X0)
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f164,f204]) ).
fof(f164,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ ilf_type(X0,set_type)
| X0 = X1
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
<=> X0 = X1 )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ( subset(X1,X0)
& subset(X0,X1) )
<=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f811,plain,
subset(sF18,sK13),
inference(duplicate_literal_removal,[],[f810]) ).
fof(f810,plain,
( subset(sF18,sK13)
| subset(sF18,sK13) ),
inference(resolution,[],[f704,f292]) ).
fof(f704,plain,
! [X2] :
( member(sK3(sF18,X2),sK13)
| subset(sF18,X2) ),
inference(resolution,[],[f701,f244]) ).
fof(f701,plain,
! [X27] :
( ~ member(X27,sF18)
| member(X27,sK13) ),
inference(resolution,[],[f329,f371]) ).
fof(f371,plain,
ilf_type(sF18,subset_type(sK13)),
inference(subsumption_resolution,[],[f370,f221]) ).
fof(f370,plain,
( ilf_type(sF18,subset_type(sK13))
| ~ ilf_type(sK14,sF19) ),
inference(forward_demodulation,[],[f369,f220]) ).
fof(f369,plain,
( ilf_type(sF18,subset_type(sK13))
| ~ ilf_type(sK14,relation_type(sK12,sK13)) ),
inference(superposition,[],[f280,f214]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f279,f204]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(subsumption_resolution,[],[f161,f204]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,subset_type(X2))
| ~ member(X0,X1)
| member(X0,X2) ),
inference(resolution,[],[f248,f308]) ).
fof(f308,plain,
! [X0,X1] :
( member(X1,power_set(X0))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f305,f285]) ).
fof(f285,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f186,f204]) ).
fof(f186,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,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',p23) ).
fof(f305,plain,
! [X0,X1] :
( empty(power_set(X0))
| member(X1,power_set(X0))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(resolution,[],[f260,f242]) ).
fof(f242,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f241,f204]) ).
fof(f241,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f148,f204]) ).
fof(f148,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [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) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,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',p17) ).
fof(f260,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| empty(X1)
| member(X0,X1) ),
inference(subsumption_resolution,[],[f259,f204]) ).
fof(f259,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1) ),
inference(subsumption_resolution,[],[f201,f204]) ).
fof(f201,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| member(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( empty(X1)
| ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( empty(X1)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type) ) ),
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,[],[f24]) ).
fof(f24,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/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(subsumption_resolution,[],[f247,f204]) ).
fof(f247,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f246,f204]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f175,f204]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ member(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| member(X2,X1)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [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)) )
& ( member(X0,power_set(X1))
| ( ilf_type(sK7(X0,X1),set_type)
& member(sK7(X0,X1),X0)
& ~ member(sK7(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f110,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X3] :
( ilf_type(X3,set_type)
& member(X3,X0)
& ~ member(X3,X1) )
=> ( ilf_type(sK7(X0,X1),set_type)
& member(sK7(X0,X1),X0)
& ~ member(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [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)) )
& ( member(X0,power_set(X1))
| ? [X3] :
( ilf_type(X3,set_type)
& member(X3,X0)
& ~ member(X3,X1) ) ) ) ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [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)) )
& ( member(X0,power_set(X1))
| ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [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)) ) ) ),
inference(flattening,[],[f66]) ).
fof(f66,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,[],[f22]) ).
fof(f22,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/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f215,plain,
( member(sK15,sK13)
| sF18 != sK13 ),
inference(definition_folding,[],[f192,f214]) ).
fof(f192,plain,
( sK13 != range(sK12,sK13,sK14)
| member(sK15,sK13) ),
inference(cnf_transformation,[],[f129]) ).
fof(f991,plain,
~ member(sK15,sK13),
inference(resolution,[],[f895,f932]) ).
fof(f932,plain,
! [X4] : ~ member(ordered_pair(X4,sK15),sK14),
inference(trivial_inequality_removal,[],[f878]) ).
fof(f878,plain,
! [X4] :
( sK13 != sK13
| ~ member(ordered_pair(X4,sK15),sK14) ),
inference(backward_demodulation,[],[f288,f875]) ).
fof(f288,plain,
! [X4] :
( sF18 != sK13
| ~ member(ordered_pair(X4,sK15),sK14) ),
inference(subsumption_resolution,[],[f217,f204]) ).
fof(f217,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| sF18 != sK13
| ~ member(ordered_pair(X4,sK15),sK14) ),
inference(definition_folding,[],[f190,f214]) ).
fof(f190,plain,
! [X4] :
( sK13 != range(sK12,sK13,sK14)
| ~ member(ordered_pair(X4,sK15),sK14)
| ~ ilf_type(X4,set_type) ),
inference(cnf_transformation,[],[f129]) ).
fof(f895,plain,
! [X0] :
( member(ordered_pair(sK2(sK14,X0),X0),sK14)
| ~ member(X0,sK13) ),
inference(backward_demodulation,[],[f820,f875]) ).
fof(f820,plain,
! [X0] :
( member(ordered_pair(sK2(sK14,X0),X0),sK14)
| ~ member(X0,sF18) ),
inference(backward_demodulation,[],[f537,f819]) ).
fof(f537,plain,
! [X0] :
( member(ordered_pair(sK2(sK14,X0),X0),sK14)
| ~ member(X0,range_of(sK14)) ),
inference(resolution,[],[f536,f234]) ).
fof(f234,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| member(ordered_pair(sK2(X0,X1),X1),X0)
| ~ member(X1,range_of(X0)) ),
inference(subsumption_resolution,[],[f146,f204]) ).
fof(f146,plain,
! [X0,X1] :
( ~ member(X1,range_of(X0))
| member(ordered_pair(sK2(X0,X1),X1),X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET660+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % 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 : n005.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 14:10:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (28490)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49 % (28497)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)
% 0.20/0.50 % (28494)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)
% 0.20/0.51 % (28488)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (28485)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)
% 0.20/0.51 % (28480)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 % (28477)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (28475)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)
% 0.20/0.52 % (28484)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)
% 0.20/0.52 % (28470)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)
% 0.20/0.52 % (28476)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)
% 0.20/0.53 % (28474)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (28479)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (28477)Instruction limit reached!
% 0.20/0.53 % (28477)------------------------------
% 0.20/0.53 % (28477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28477)Termination reason: Unknown
% 0.20/0.53 % (28477)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (28477)Memory used [KB]: 5500
% 0.20/0.53 % (28477)Time elapsed: 0.075 s
% 0.20/0.53 % (28477)Instructions burned: 7 (million)
% 0.20/0.53 % (28477)------------------------------
% 0.20/0.53 % (28477)------------------------------
% 0.20/0.53 % (28486)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (28483)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 % (28500)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (28498)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 % (28473)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)
% 0.20/0.53 % (28499)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (28493)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)
% 0.20/0.54 % (28472)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)
% 0.20/0.54 % (28471)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)
% 0.20/0.54 % (28491)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)
% 0.20/0.54 % (28487)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (28478)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (28495)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (28478)Instruction limit reached!
% 0.20/0.54 % (28478)------------------------------
% 0.20/0.54 % (28478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (28478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (28478)Termination reason: Unknown
% 0.20/0.54 % (28478)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (28478)Memory used [KB]: 895
% 0.20/0.54 % (28478)Time elapsed: 0.002 s
% 0.20/0.54 % (28478)Instructions burned: 2 (million)
% 0.20/0.54 % (28478)------------------------------
% 0.20/0.54 % (28478)------------------------------
% 0.20/0.54 % (28496)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 % (28482)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (28492)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (28481)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)
% 0.20/0.55 TRYING [2]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.58 TRYING [3]
% 0.20/0.58 TRYING [1]
% 0.20/0.58 % (28476)Instruction limit reached!
% 0.20/0.58 % (28476)------------------------------
% 0.20/0.58 % (28476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 TRYING [2]
% 1.76/0.59 TRYING [3]
% 1.76/0.59 % (28480)Instruction limit reached!
% 1.76/0.59 % (28480)------------------------------
% 1.76/0.59 % (28480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59 % (28471)Instruction limit reached!
% 1.76/0.59 % (28471)------------------------------
% 1.76/0.59 % (28471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59 % (28471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59 % (28471)Termination reason: Unknown
% 1.76/0.59 % (28471)Termination phase: Saturation
% 1.76/0.59
% 1.76/0.59 % (28471)Memory used [KB]: 6268
% 1.76/0.59 % (28471)Time elapsed: 0.178 s
% 1.76/0.59 % (28471)Instructions burned: 51 (million)
% 1.76/0.59 % (28471)------------------------------
% 1.76/0.59 % (28471)------------------------------
% 1.76/0.59 % (28480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59 % (28480)Termination reason: Unknown
% 1.76/0.59 % (28480)Termination phase: Saturation
% 1.76/0.59
% 1.76/0.59 % (28480)Memory used [KB]: 6268
% 1.76/0.59 % (28480)Time elapsed: 0.188 s
% 1.76/0.59 % (28480)Instructions burned: 51 (million)
% 1.76/0.59 % (28480)------------------------------
% 1.76/0.59 % (28480)------------------------------
% 1.76/0.59 % (28476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59 % (28476)Termination reason: Unknown
% 1.76/0.59 % (28476)Termination phase: Finite model building constraint generation
% 1.76/0.59
% 1.76/0.59 % (28476)Memory used [KB]: 7419
% 1.76/0.59 % (28476)Time elapsed: 0.160 s
% 1.76/0.59 % (28476)Instructions burned: 53 (million)
% 1.76/0.59 % (28476)------------------------------
% 1.76/0.59 % (28476)------------------------------
% 1.76/0.60 % (28472)Instruction limit reached!
% 1.76/0.60 % (28472)------------------------------
% 1.76/0.60 % (28472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60 % (28497)Instruction limit reached!
% 1.76/0.60 % (28497)------------------------------
% 1.76/0.60 % (28497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60 % (28498)First to succeed.
% 1.96/0.60 % (28475)Instruction limit reached!
% 1.96/0.60 % (28475)------------------------------
% 1.96/0.60 % (28475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.60 % (28475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.60 % (28475)Termination reason: Unknown
% 1.96/0.60 % (28475)Termination phase: Saturation
% 1.96/0.60
% 1.96/0.60 % (28475)Memory used [KB]: 6012
% 1.96/0.60 % (28475)Time elapsed: 0.199 s
% 1.96/0.60 % (28475)Instructions burned: 49 (million)
% 1.96/0.60 % (28475)------------------------------
% 1.96/0.60 % (28475)------------------------------
% 1.96/0.61 % (28487)Instruction limit reached!
% 1.96/0.61 % (28487)------------------------------
% 1.96/0.61 % (28487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 % (28474)Instruction limit reached!
% 1.96/0.62 % (28474)------------------------------
% 1.96/0.62 % (28474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 % (28472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.62 % (28472)Termination reason: Unknown
% 1.96/0.62 % (28472)Termination phase: Saturation
% 1.96/0.62
% 1.96/0.62 % (28472)Memory used [KB]: 1535
% 1.96/0.62 % (28472)Time elapsed: 0.170 s
% 1.96/0.62 % (28472)Instructions burned: 38 (million)
% 1.96/0.62 % (28472)------------------------------
% 1.96/0.62 % (28472)------------------------------
% 1.96/0.62 % (28487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.62 % (28487)Termination reason: Unknown
% 1.96/0.62 % (28487)Termination phase: Finite model building SAT solving
% 1.96/0.62
% 1.96/0.62 % (28487)Memory used [KB]: 7419
% 1.96/0.62 % (28487)Time elapsed: 0.177 s
% 1.96/0.62 % (28487)Instructions burned: 63 (million)
% 1.96/0.62 % (28487)------------------------------
% 1.96/0.62 % (28487)------------------------------
% 1.96/0.62 % (28497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.62 % (28497)Termination reason: Unknown
% 1.96/0.62 % (28497)Termination phase: Saturation
% 1.96/0.62
% 1.96/0.62 % (28497)Memory used [KB]: 6780
% 1.96/0.62 % (28497)Time elapsed: 0.041 s
% 1.96/0.62 % (28497)Instructions burned: 70 (million)
% 1.96/0.62 % (28497)------------------------------
% 1.96/0.62 % (28497)------------------------------
% 1.96/0.62 % (28479)Instruction limit reached!
% 1.96/0.62 % (28479)------------------------------
% 1.96/0.62 % (28479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 % (28479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.62 % (28479)Termination reason: Unknown
% 1.96/0.62 % (28479)Termination phase: Saturation
% 1.96/0.62
% 1.96/0.62 % (28479)Memory used [KB]: 1663
% 1.96/0.62 % (28479)Time elapsed: 0.213 s
% 1.96/0.62 % (28479)Instructions burned: 53 (million)
% 1.96/0.62 % (28479)------------------------------
% 1.96/0.62 % (28479)------------------------------
% 1.96/0.62 % (28485)Also succeeded, but the first one will report.
% 1.96/0.62 % (28498)Refutation found. Thanks to Tanya!
% 1.96/0.62 % SZS status Theorem for theBenchmark
% 1.96/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.62 % (28498)------------------------------
% 1.96/0.62 % (28498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 % (28498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.62 % (28498)Termination reason: Refutation
% 1.96/0.62
% 1.96/0.62 % (28498)Memory used [KB]: 1791
% 1.96/0.62 % (28498)Time elapsed: 0.189 s
% 1.96/0.62 % (28498)Instructions burned: 49 (million)
% 1.96/0.62 % (28498)------------------------------
% 1.96/0.62 % (28498)------------------------------
% 1.96/0.62 % (28464)Success in time 0.26 s
%------------------------------------------------------------------------------