TSTP Solution File: SEU363+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU363+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n018.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 18:33:26 EDT 2022
% Result : Theorem 0.16s 0.57s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 111 ( 39 unt; 0 def)
% Number of atoms : 423 ( 52 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 433 ( 121 ~; 97 |; 171 &)
% ( 9 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 186 ( 138 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f666,plain,
$false,
inference(subsumption_resolution,[],[f665,f217]) ).
fof(f217,plain,
element(sK6,sF17),
inference(forward_demodulation,[],[f213,f160]) ).
fof(f160,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( subrelstr(sK5,sK4)
& full_subrelstr(sK5,sK4)
& element(sK6,the_carrier(sK4))
& element(sK7,the_carrier(sK4))
& sK7 = sK9
& in(sK9,the_carrier(sK5))
& ~ related(sK5,sK8,sK9)
& related(sK4,sK6,sK7)
& sK6 = sK8
& element(sK9,the_carrier(sK5))
& in(sK8,the_carrier(sK5))
& element(sK8,the_carrier(sK5))
& rel_str(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f96,f116,f115,f114,f113,f112,f111]) ).
fof(f111,plain,
( ? [X0] :
( ? [X1] :
( subrelstr(X1,X0)
& full_subrelstr(X1,X0)
& ? [X2] :
( element(X2,the_carrier(X0))
& ? [X3] :
( element(X3,the_carrier(X0))
& ? [X4] :
( ? [X5] :
( X3 = X5
& in(X5,the_carrier(X1))
& ~ related(X1,X4,X5)
& related(X0,X2,X3)
& X2 = X4
& element(X5,the_carrier(X1))
& in(X4,the_carrier(X1)) )
& element(X4,the_carrier(X1)) ) ) ) )
& rel_str(X0) )
=> ( ? [X1] :
( subrelstr(X1,sK4)
& full_subrelstr(X1,sK4)
& ? [X2] :
( element(X2,the_carrier(sK4))
& ? [X3] :
( element(X3,the_carrier(sK4))
& ? [X4] :
( ? [X5] :
( X3 = X5
& in(X5,the_carrier(X1))
& ~ related(X1,X4,X5)
& related(sK4,X2,X3)
& X2 = X4
& element(X5,the_carrier(X1))
& in(X4,the_carrier(X1)) )
& element(X4,the_carrier(X1)) ) ) ) )
& rel_str(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X1] :
( subrelstr(X1,sK4)
& full_subrelstr(X1,sK4)
& ? [X2] :
( element(X2,the_carrier(sK4))
& ? [X3] :
( element(X3,the_carrier(sK4))
& ? [X4] :
( ? [X5] :
( X3 = X5
& in(X5,the_carrier(X1))
& ~ related(X1,X4,X5)
& related(sK4,X2,X3)
& X2 = X4
& element(X5,the_carrier(X1))
& in(X4,the_carrier(X1)) )
& element(X4,the_carrier(X1)) ) ) ) )
=> ( subrelstr(sK5,sK4)
& full_subrelstr(sK5,sK4)
& ? [X2] :
( element(X2,the_carrier(sK4))
& ? [X3] :
( element(X3,the_carrier(sK4))
& ? [X4] :
( ? [X5] :
( X3 = X5
& in(X5,the_carrier(sK5))
& ~ related(sK5,X4,X5)
& related(sK4,X2,X3)
& X2 = X4
& element(X5,the_carrier(sK5))
& in(X4,the_carrier(sK5)) )
& element(X4,the_carrier(sK5)) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X2] :
( element(X2,the_carrier(sK4))
& ? [X3] :
( element(X3,the_carrier(sK4))
& ? [X4] :
( ? [X5] :
( X3 = X5
& in(X5,the_carrier(sK5))
& ~ related(sK5,X4,X5)
& related(sK4,X2,X3)
& X2 = X4
& element(X5,the_carrier(sK5))
& in(X4,the_carrier(sK5)) )
& element(X4,the_carrier(sK5)) ) ) )
=> ( element(sK6,the_carrier(sK4))
& ? [X3] :
( element(X3,the_carrier(sK4))
& ? [X4] :
( ? [X5] :
( X3 = X5
& in(X5,the_carrier(sK5))
& ~ related(sK5,X4,X5)
& related(sK4,sK6,X3)
& sK6 = X4
& element(X5,the_carrier(sK5))
& in(X4,the_carrier(sK5)) )
& element(X4,the_carrier(sK5)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X3] :
( element(X3,the_carrier(sK4))
& ? [X4] :
( ? [X5] :
( X3 = X5
& in(X5,the_carrier(sK5))
& ~ related(sK5,X4,X5)
& related(sK4,sK6,X3)
& sK6 = X4
& element(X5,the_carrier(sK5))
& in(X4,the_carrier(sK5)) )
& element(X4,the_carrier(sK5)) ) )
=> ( element(sK7,the_carrier(sK4))
& ? [X4] :
( ? [X5] :
( sK7 = X5
& in(X5,the_carrier(sK5))
& ~ related(sK5,X4,X5)
& related(sK4,sK6,sK7)
& sK6 = X4
& element(X5,the_carrier(sK5))
& in(X4,the_carrier(sK5)) )
& element(X4,the_carrier(sK5)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X4] :
( ? [X5] :
( sK7 = X5
& in(X5,the_carrier(sK5))
& ~ related(sK5,X4,X5)
& related(sK4,sK6,sK7)
& sK6 = X4
& element(X5,the_carrier(sK5))
& in(X4,the_carrier(sK5)) )
& element(X4,the_carrier(sK5)) )
=> ( ? [X5] :
( sK7 = X5
& in(X5,the_carrier(sK5))
& ~ related(sK5,sK8,X5)
& related(sK4,sK6,sK7)
& sK6 = sK8
& element(X5,the_carrier(sK5))
& in(sK8,the_carrier(sK5)) )
& element(sK8,the_carrier(sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ? [X5] :
( sK7 = X5
& in(X5,the_carrier(sK5))
& ~ related(sK5,sK8,X5)
& related(sK4,sK6,sK7)
& sK6 = sK8
& element(X5,the_carrier(sK5))
& in(sK8,the_carrier(sK5)) )
=> ( sK7 = sK9
& in(sK9,the_carrier(sK5))
& ~ related(sK5,sK8,sK9)
& related(sK4,sK6,sK7)
& sK6 = sK8
& element(sK9,the_carrier(sK5))
& in(sK8,the_carrier(sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
? [X0] :
( ? [X1] :
( subrelstr(X1,X0)
& full_subrelstr(X1,X0)
& ? [X2] :
( element(X2,the_carrier(X0))
& ? [X3] :
( element(X3,the_carrier(X0))
& ? [X4] :
( ? [X5] :
( X3 = X5
& in(X5,the_carrier(X1))
& ~ related(X1,X4,X5)
& related(X0,X2,X3)
& X2 = X4
& element(X5,the_carrier(X1))
& in(X4,the_carrier(X1)) )
& element(X4,the_carrier(X1)) ) ) ) )
& rel_str(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(X1,X4,X5)
& related(X0,X2,X3)
& in(X4,the_carrier(X1))
& in(X5,the_carrier(X1))
& X2 = X4
& X3 = X5
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& subrelstr(X1,X0)
& full_subrelstr(X1,X0) )
& rel_str(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( rel_str(X0)
=> ! [X1] :
( ( subrelstr(X1,X0)
& full_subrelstr(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( related(X0,X2,X3)
& in(X4,the_carrier(X1))
& in(X5,the_carrier(X1))
& X2 = X4
& X3 = X5 )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ( subrelstr(X1,X0)
& full_subrelstr(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( related(X0,X2,X3)
& in(X4,the_carrier(X1))
& in(X5,the_carrier(X1))
& X2 = X4
& X3 = X5 )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(f213,plain,
element(sK8,sF17),
inference(definition_folding,[],[f157,f209]) ).
fof(f209,plain,
the_carrier(sK5) = sF17,
introduced(function_definition,[]) ).
fof(f157,plain,
element(sK8,the_carrier(sK5)),
inference(cnf_transformation,[],[f117]) ).
fof(f665,plain,
~ element(sK6,sF17),
inference(forward_demodulation,[],[f664,f209]) ).
fof(f664,plain,
~ element(sK6,the_carrier(sK5)),
inference(subsumption_resolution,[],[f663,f218]) ).
fof(f218,plain,
element(sK7,sF17),
inference(forward_demodulation,[],[f211,f164]) ).
fof(f164,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f117]) ).
fof(f211,plain,
element(sK9,sF17),
inference(definition_folding,[],[f159,f209]) ).
fof(f159,plain,
element(sK9,the_carrier(sK5)),
inference(cnf_transformation,[],[f117]) ).
fof(f663,plain,
( ~ element(sK6,the_carrier(sK5))
| ~ element(sK7,sF17) ),
inference(forward_demodulation,[],[f662,f209]) ).
fof(f662,plain,
( ~ element(sK7,the_carrier(sK5))
| ~ element(sK6,the_carrier(sK5)) ),
inference(subsumption_resolution,[],[f661,f229]) ).
fof(f229,plain,
rel_str(sK5),
inference(resolution,[],[f227,f168]) ).
fof(f168,plain,
subrelstr(sK5,sK4),
inference(cnf_transformation,[],[f117]) ).
fof(f227,plain,
! [X0] :
( ~ subrelstr(X0,sK4)
| rel_str(X0) ),
inference(resolution,[],[f205,f156]) ).
fof(f156,plain,
rel_str(sK4),
inference(cnf_transformation,[],[f117]) ).
fof(f205,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ subrelstr(X1,X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f661,plain,
( ~ rel_str(sK5)
| ~ element(sK6,the_carrier(sK5))
| ~ element(sK7,the_carrier(sK5)) ),
inference(subsumption_resolution,[],[f655,f215]) ).
fof(f215,plain,
~ related(sK5,sK6,sK7),
inference(backward_demodulation,[],[f214,f160]) ).
fof(f214,plain,
~ related(sK5,sK8,sK7),
inference(forward_demodulation,[],[f162,f164]) ).
fof(f162,plain,
~ related(sK5,sK8,sK9),
inference(cnf_transformation,[],[f117]) ).
fof(f655,plain,
( related(sK5,sK6,sK7)
| ~ element(sK6,the_carrier(sK5))
| ~ rel_str(sK5)
| ~ element(sK7,the_carrier(sK5)) ),
inference(resolution,[],[f652,f174]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| related(X0,X1,X2)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ( ( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f652,plain,
in(ordered_pair(sK6,sK7),the_InternalRel(sK5)),
inference(forward_demodulation,[],[f651,f324]) ).
fof(f324,plain,
relation_restriction_as_relation_of(the_InternalRel(sK4),sF17) = the_InternalRel(sK5),
inference(forward_demodulation,[],[f323,f209]) ).
fof(f323,plain,
relation_restriction_as_relation_of(the_InternalRel(sK4),the_carrier(sK5)) = the_InternalRel(sK5),
inference(subsumption_resolution,[],[f322,f168]) ).
fof(f322,plain,
( ~ subrelstr(sK5,sK4)
| relation_restriction_as_relation_of(the_InternalRel(sK4),the_carrier(sK5)) = the_InternalRel(sK5) ),
inference(subsumption_resolution,[],[f319,f156]) ).
fof(f319,plain,
( ~ rel_str(sK4)
| relation_restriction_as_relation_of(the_InternalRel(sK4),the_carrier(sK5)) = the_InternalRel(sK5)
| ~ subrelstr(sK5,sK4) ),
inference(resolution,[],[f204,f167]) ).
fof(f167,plain,
full_subrelstr(sK5,sK4),
inference(cnf_transformation,[],[f117]) ).
fof(f204,plain,
! [X0,X1] :
( ~ full_subrelstr(X1,X0)
| the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1))
| ~ rel_str(X0)
| ~ subrelstr(X1,X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ~ subrelstr(X1,X0)
| ( ( the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1))
| ~ full_subrelstr(X1,X0) )
& ( full_subrelstr(X1,X0)
| the_InternalRel(X1) != relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1)) ) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ~ subrelstr(X1,X0)
| ( the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1))
<=> full_subrelstr(X1,X0) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ( the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1))
<=> full_subrelstr(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_yellow_0) ).
fof(f651,plain,
in(ordered_pair(sK6,sK7),relation_restriction_as_relation_of(the_InternalRel(sK4),sF17)),
inference(subsumption_resolution,[],[f650,f219]) ).
fof(f219,plain,
in(sK6,sF17),
inference(forward_demodulation,[],[f212,f160]) ).
fof(f212,plain,
in(sK8,sF17),
inference(definition_folding,[],[f158,f209]) ).
fof(f158,plain,
in(sK8,the_carrier(sK5)),
inference(cnf_transformation,[],[f117]) ).
fof(f650,plain,
( ~ in(sK6,sF17)
| in(ordered_pair(sK6,sK7),relation_restriction_as_relation_of(the_InternalRel(sK4),sF17)) ),
inference(resolution,[],[f647,f216]) ).
fof(f216,plain,
in(sK7,sF17),
inference(forward_demodulation,[],[f210,f164]) ).
fof(f210,plain,
in(sK9,sF17),
inference(definition_folding,[],[f163,f209]) ).
fof(f163,plain,
in(sK9,the_carrier(sK5)),
inference(cnf_transformation,[],[f117]) ).
fof(f647,plain,
! [X0] :
( ~ in(sK7,X0)
| in(ordered_pair(sK6,sK7),relation_restriction_as_relation_of(the_InternalRel(sK4),X0))
| ~ in(sK6,X0) ),
inference(resolution,[],[f639,f202]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X2,X1),cartesian_product2(X3,X0))
| ~ in(X1,X0)
| ~ in(X2,X3) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X2,X1),cartesian_product2(X3,X0))
| ~ in(X1,X0)
| ~ in(X2,X3) )
& ( ( in(X1,X0)
& in(X2,X3) )
| ~ in(ordered_pair(X2,X1),cartesian_product2(X3,X0)) ) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X3,X2] :
( ( in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
| ~ in(X1,X0)
| ~ in(X3,X2) )
& ( ( in(X1,X0)
& in(X3,X2) )
| ~ in(ordered_pair(X3,X1),cartesian_product2(X2,X0)) ) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X3,X2] :
( ( in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
| ~ in(X1,X0)
| ~ in(X3,X2) )
& ( ( in(X1,X0)
& in(X3,X2) )
| ~ in(ordered_pair(X3,X1),cartesian_product2(X2,X0)) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X3,X2] :
( in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
<=> ( in(X1,X0)
& in(X3,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X3,X1,X2,X0] :
( ( in(X1,X3)
& in(X0,X2) )
<=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f639,plain,
! [X0] :
( ~ in(ordered_pair(sK6,sK7),cartesian_product2(X0,X0))
| in(ordered_pair(sK6,sK7),relation_restriction_as_relation_of(the_InternalRel(sK4),X0)) ),
inference(resolution,[],[f366,f330]) ).
fof(f330,plain,
in(ordered_pair(sK6,sK7),the_InternalRel(sK4)),
inference(subsumption_resolution,[],[f329,f207]) ).
fof(f207,plain,
element(sK6,sF16),
inference(definition_folding,[],[f166,f206]) ).
fof(f206,plain,
sF16 = the_carrier(sK4),
introduced(function_definition,[]) ).
fof(f166,plain,
element(sK6,the_carrier(sK4)),
inference(cnf_transformation,[],[f117]) ).
fof(f329,plain,
( in(ordered_pair(sK6,sK7),the_InternalRel(sK4))
| ~ element(sK6,sF16) ),
inference(forward_demodulation,[],[f328,f206]) ).
fof(f328,plain,
( in(ordered_pair(sK6,sK7),the_InternalRel(sK4))
| ~ element(sK6,the_carrier(sK4)) ),
inference(subsumption_resolution,[],[f327,f208]) ).
fof(f208,plain,
element(sK7,sF16),
inference(definition_folding,[],[f165,f206]) ).
fof(f165,plain,
element(sK7,the_carrier(sK4)),
inference(cnf_transformation,[],[f117]) ).
fof(f327,plain,
( ~ element(sK7,sF16)
| in(ordered_pair(sK6,sK7),the_InternalRel(sK4))
| ~ element(sK6,the_carrier(sK4)) ),
inference(forward_demodulation,[],[f326,f206]) ).
fof(f326,plain,
( ~ element(sK7,the_carrier(sK4))
| ~ element(sK6,the_carrier(sK4))
| in(ordered_pair(sK6,sK7),the_InternalRel(sK4)) ),
inference(subsumption_resolution,[],[f325,f156]) ).
fof(f325,plain,
( in(ordered_pair(sK6,sK7),the_InternalRel(sK4))
| ~ element(sK6,the_carrier(sK4))
| ~ rel_str(sK4)
| ~ element(sK7,the_carrier(sK4)) ),
inference(resolution,[],[f173,f161]) ).
fof(f161,plain,
related(sK4,sK6,sK7),
inference(cnf_transformation,[],[f117]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ related(X0,X1,X2)
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f366,plain,
! [X0,X1] :
( ~ in(X0,the_InternalRel(sK4))
| ~ in(X0,cartesian_product2(X1,X1))
| in(X0,relation_restriction_as_relation_of(the_InternalRel(sK4),X1)) ),
inference(backward_demodulation,[],[f364,f365]) ).
fof(f365,plain,
! [X2] : relation_restriction(the_InternalRel(sK4),X2) = relation_restriction_as_relation_of(the_InternalRel(sK4),X2),
inference(resolution,[],[f362,f150]) ).
fof(f150,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_restriction_as_relation_of(X1,X0) = relation_restriction(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_restriction_as_relation_of(X1,X0) = relation_restriction(X1,X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ~ relation(X0)
| relation_restriction_as_relation_of(X0,X1) = relation_restriction(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( relation(X0)
=> relation_restriction_as_relation_of(X0,X1) = relation_restriction(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_toler_1) ).
fof(f362,plain,
relation(the_InternalRel(sK4)),
inference(resolution,[],[f286,f281]) ).
fof(f281,plain,
relation_of2_as_subset(the_InternalRel(sK4),sF16,sF16),
inference(subsumption_resolution,[],[f278,f156]) ).
fof(f278,plain,
( ~ rel_str(sK4)
| relation_of2_as_subset(the_InternalRel(sK4),sF16,sF16) ),
inference(superposition,[],[f171,f206]) ).
fof(f171,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ rel_str(X0)
| relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f146,f178]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(cartesian_product2(X2,X1)))
| relation(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X2,X1))) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0,X2,X1] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X2,X1,X0] :
( element(X0,powerset(cartesian_product2(X1,X2)))
=> relation(X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f146,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X1,X0)))
| ~ relation_of2_as_subset(X2,X1,X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X2,X1,X0)
| element(X2,powerset(cartesian_product2(X1,X0))) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X2,X1,X0] :
( ~ relation_of2_as_subset(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0,X2] :
( relation_of2_as_subset(X0,X1,X2)
=> element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f364,plain,
! [X0,X1] :
( in(X0,relation_restriction(the_InternalRel(sK4),X1))
| ~ in(X0,the_InternalRel(sK4))
| ~ in(X0,cartesian_product2(X1,X1)) ),
inference(resolution,[],[f362,f184]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ in(X1,X0)
| in(X1,relation_restriction(X0,X2))
| ~ in(X1,cartesian_product2(X2,X2)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ( ( in(X1,relation_restriction(X0,X2))
| ~ in(X1,X0)
| ~ in(X1,cartesian_product2(X2,X2)) )
& ( ( in(X1,X0)
& in(X1,cartesian_product2(X2,X2)) )
| ~ in(X1,relation_restriction(X0,X2)) ) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X1,X0,X2] :
( ~ relation(X1)
| ( ( in(X0,relation_restriction(X1,X2))
| ~ in(X0,X1)
| ~ in(X0,cartesian_product2(X2,X2)) )
& ( ( in(X0,X1)
& in(X0,cartesian_product2(X2,X2)) )
| ~ in(X0,relation_restriction(X1,X2)) ) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X1,X0,X2] :
( ~ relation(X1)
| ( ( in(X0,relation_restriction(X1,X2))
| ~ in(X0,X1)
| ~ in(X0,cartesian_product2(X2,X2)) )
& ( ( in(X0,X1)
& in(X0,cartesian_product2(X2,X2)) )
| ~ in(X0,relation_restriction(X1,X2)) ) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X1,X0,X2] :
( ~ relation(X1)
| ( in(X0,relation_restriction(X1,X2))
<=> ( in(X0,X1)
& in(X0,cartesian_product2(X2,X2)) ) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( relation(X1)
=> ( in(X0,relation_restriction(X1,X2))
<=> ( in(X0,X1)
& in(X0,cartesian_product2(X2,X2)) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X0,X2,X1] :
( relation(X2)
=> ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
<=> in(X0,relation_restriction(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU363+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 15:23:40 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (1759)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)
% 0.16/0.48 % (1777)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)
% 0.16/0.48 TRYING [1]
% 0.16/0.49 % (1769)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)
% 0.16/0.49 % (1776)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)
% 0.16/0.49 TRYING [2]
% 0.16/0.49 TRYING [3]
% 0.16/0.50 % (1760)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50 % (1768)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)
% 0.16/0.50 % (1753)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)
% 0.16/0.51 % (1761)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51 % (1761)Instruction limit reached!
% 0.16/0.51 % (1761)------------------------------
% 0.16/0.51 % (1761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (1761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (1761)Termination reason: Unknown
% 0.16/0.51 % (1761)Termination phase: shuffling
% 0.16/0.51
% 0.16/0.51 % (1761)Memory used [KB]: 895
% 0.16/0.51 % (1761)Time elapsed: 0.004 s
% 0.16/0.51 % (1761)Instructions burned: 2 (million)
% 0.16/0.51 % (1761)------------------------------
% 0.16/0.51 % (1761)------------------------------
% 0.16/0.51 % (1760)Instruction limit reached!
% 0.16/0.51 % (1760)------------------------------
% 0.16/0.51 % (1760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (1756)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)
% 0.16/0.51 % (1762)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)
% 0.16/0.51 % (1760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (1760)Termination reason: Unknown
% 0.16/0.51 % (1760)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (1760)Memory used [KB]: 5628
% 0.16/0.51 % (1760)Time elapsed: 0.087 s
% 0.16/0.51 % (1760)Instructions burned: 7 (million)
% 0.16/0.51 % (1760)------------------------------
% 0.16/0.51 % (1760)------------------------------
% 0.16/0.52 % (1757)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52 % (1758)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)
% 0.16/0.52 % (1763)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.52 TRYING [4]
% 0.16/0.53 TRYING [1]
% 0.16/0.53 TRYING [2]
% 0.16/0.53 % (1754)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)
% 0.16/0.53 % (1755)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)
% 0.16/0.53 % (1774)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)
% 0.16/0.53 TRYING [3]
% 0.16/0.54 % (1764)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)
% 0.16/0.54 % (1754)Refutation not found, incomplete strategy% (1754)------------------------------
% 0.16/0.54 % (1754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (1754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (1754)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.54
% 0.16/0.54 % (1754)Memory used [KB]: 5500
% 0.16/0.54 % (1754)Time elapsed: 0.158 s
% 0.16/0.54 % (1754)Instructions burned: 4 (million)
% 0.16/0.54 % (1754)------------------------------
% 0.16/0.54 % (1754)------------------------------
% 0.16/0.54 % (1775)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.54 % (1780)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)
% 0.16/0.54 % (1765)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.54 % (1778)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.54 % (1767)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.55 % (1773)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)
% 0.16/0.55 % (1772)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55 % (1770)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)
% 0.16/0.55 % (1759)Instruction limit reached!
% 0.16/0.55 % (1759)------------------------------
% 0.16/0.55 % (1759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (1759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (1759)Termination reason: Unknown
% 0.16/0.55 % (1759)Termination phase: Finite model building SAT solving
% 0.16/0.55
% 0.16/0.55 % (1759)Memory used [KB]: 7164
% 0.16/0.55 % (1759)Time elapsed: 0.158 s
% 0.16/0.55 % (1759)Instructions burned: 51 (million)
% 0.16/0.55 % (1759)------------------------------
% 0.16/0.55 % (1759)------------------------------
% 0.16/0.55 % (1779)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.55 % (1783)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)
% 0.16/0.55 % (1782)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.56 % (1771)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.56 % (1781)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)
% 0.16/0.56 TRYING [4]
% 0.16/0.57 % (1769)First to succeed.
% 0.16/0.57 % (1769)Refutation found. Thanks to Tanya!
% 0.16/0.57 % SZS status Theorem for theBenchmark
% 0.16/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.57 % (1769)------------------------------
% 0.16/0.57 % (1769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57 % (1769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57 % (1769)Termination reason: Refutation
% 0.16/0.57
% 0.16/0.57 % (1769)Memory used [KB]: 1535
% 0.16/0.57 % (1769)Time elapsed: 0.146 s
% 0.16/0.57 % (1769)Instructions burned: 29 (million)
% 0.16/0.57 % (1769)------------------------------
% 0.16/0.57 % (1769)------------------------------
% 0.16/0.57 % (1752)Success in time 0.245 s
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