TSTP Solution File: CSR017+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CSR017+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 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 : n024.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 15:54:10 EDT 2022
% Result : Theorem 1.67s 0.56s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 114 ( 26 unt; 0 def)
% Number of atoms : 417 ( 151 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 471 ( 168 ~; 179 |; 102 &)
% ( 19 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 6 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 131 ( 124 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f672,plain,
$false,
inference(avatar_sat_refutation,[],[f518,f523,f539,f544,f620,f671]) ).
fof(f671,plain,
~ spl14_23,
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f670,plain,
( $false
| ~ spl14_23 ),
inference(resolution,[],[f652,f330]) ).
fof(f330,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) )
& ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) ) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
! [X1,X0] :
( ( less(X1,X0)
| X0 = X1
| ~ less_or_equal(X1,X0) )
& ( less_or_equal(X1,X0)
| ( ~ less(X1,X0)
& X0 != X1 ) ) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X1,X0] :
( ( less(X1,X0)
| X0 = X1
| ~ less_or_equal(X1,X0) )
& ( less_or_equal(X1,X0)
| ( ~ less(X1,X0)
& X0 != X1 ) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( ( less(X1,X0)
| X0 = X1 )
<=> less_or_equal(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X9,X8] :
( less_or_equal(X8,X9)
<=> ( less(X8,X9)
| X8 = X9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(f652,plain,
( ! [X0] : ~ less_or_equal(X0,n1)
| ~ spl14_23 ),
inference(subsumption_resolution,[],[f636,f297]) ).
fof(f297,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
~ ? [X0] : less(X0,n0),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
~ ? [X8] : less(X8,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(f636,plain,
( ! [X0] :
( less(X0,n0)
| ~ less_or_equal(X0,n1) )
| ~ spl14_23 ),
inference(backward_demodulation,[],[f287,f500]) ).
fof(f500,plain,
( n0 = n2
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl14_23
<=> n0 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f287,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( less_or_equal(X0,n1)
| ~ less(X0,n2) )
& ( less(X0,n2)
| ~ less_or_equal(X0,n1) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( less_or_equal(X0,n1)
<=> less(X0,n2) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X8] :
( less(X8,n2)
<=> less_or_equal(X8,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f620,plain,
~ spl14_26,
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f619,plain,
( $false
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f566,f205]) ).
fof(f205,plain,
~ holdsAt(spinning,n0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
~ holdsAt(spinning,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_splinning_0) ).
fof(f566,plain,
( holdsAt(spinning,n0)
| ~ spl14_26 ),
inference(backward_demodulation,[],[f282,f515]) ).
fof(f515,plain,
( n0 = n1
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl14_26
<=> n0 = n1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f282,plain,
holdsAt(spinning,n1),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
holdsAt(spinning,n1),
inference(flattening,[],[f49]) ).
fof(f49,negated_conjecture,
~ ~ holdsAt(spinning,n1),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
~ holdsAt(spinning,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spinning_1) ).
fof(f544,plain,
( spl14_14
| ~ spl14_15
| ~ spl14_24 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f543,plain,
( $false
| spl14_14
| ~ spl14_15
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f542,f251]) ).
fof(f251,plain,
push != pull,
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
push != pull,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',push_not_pull) ).
fof(f542,plain,
( push = pull
| spl14_14
| ~ spl14_15
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f541,f532]) ).
fof(f532,plain,
( ! [X4,X5] : ~ sP9(X4,n0,X5)
| ~ spl14_15 ),
inference(resolution,[],[f441,f266]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ happens(push,X1)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ( sP9(X0,X1,X2)
| backwards != X0
| happens(push,X1)
| pull != X2 )
& ( ( backwards = X0
& ~ happens(push,X1)
& pull = X2 )
| ~ sP9(X0,X1,X2) ) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X1,X2,X0] :
( ( sP9(X1,X2,X0)
| backwards != X1
| happens(push,X2)
| pull != X0 )
& ( ( backwards = X1
& ~ happens(push,X2)
& pull = X0 )
| ~ sP9(X1,X2,X0) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X1,X2,X0] :
( ( sP9(X1,X2,X0)
| backwards != X1
| happens(push,X2)
| pull != X0 )
& ( ( backwards = X1
& ~ happens(push,X2)
& pull = X0 )
| ~ sP9(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X1,X2,X0] :
( sP9(X1,X2,X0)
<=> ( backwards = X1
& ~ happens(push,X2)
& pull = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f441,plain,
( happens(push,n0)
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl14_15
<=> happens(push,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f541,plain,
( sP9(spinning,n0,push)
| push = pull
| spl14_14
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f526,f540]) ).
fof(f540,plain,
( ~ sP8(push,n0,spinning)
| spl14_14
| ~ spl14_24 ),
inference(forward_demodulation,[],[f436,f504]) ).
fof(f504,plain,
( push = sK13(spinning,n0)
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f502,plain,
( spl14_24
<=> push = sK13(spinning,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f436,plain,
( ~ sP8(sK13(spinning,n0),n0,spinning)
| spl14_14 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl14_14
<=> sP8(sK13(spinning,n0),n0,spinning) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f526,plain,
( sP8(push,n0,spinning)
| push = pull
| sP9(spinning,n0,push)
| ~ spl14_24 ),
inference(resolution,[],[f521,f274]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ initiates(X2,X0,X1)
| sP9(X0,X1,X2)
| sP8(X2,X1,X0)
| pull = X2 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ( initiates(X2,X0,X1)
| ( ( spinning != X0
| pull != X2
| ~ happens(push,X1) )
& ~ sP9(X0,X1,X2)
& ~ sP8(X2,X1,X0) ) )
& ( ( spinning = X0
& pull = X2
& happens(push,X1) )
| sP9(X0,X1,X2)
| sP8(X2,X1,X0)
| ~ initiates(X2,X0,X1) ) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X1,X2,X0] :
( ( initiates(X0,X1,X2)
| ( ( spinning != X1
| pull != X0
| ~ happens(push,X2) )
& ~ sP9(X1,X2,X0)
& ~ sP8(X0,X2,X1) ) )
& ( ( spinning = X1
& pull = X0
& happens(push,X2) )
| sP9(X1,X2,X0)
| sP8(X0,X2,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X1,X2,X0] :
( ( initiates(X0,X1,X2)
| ( ( spinning != X1
| pull != X0
| ~ happens(push,X2) )
& ~ sP9(X1,X2,X0)
& ~ sP8(X0,X2,X1) ) )
& ( ( spinning = X1
& pull = X0
& happens(push,X2) )
| sP9(X1,X2,X0)
| sP8(X0,X2,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X1,X2,X0] :
( initiates(X0,X1,X2)
<=> ( ( spinning = X1
& pull = X0
& happens(push,X2) )
| sP9(X1,X2,X0)
| sP8(X0,X2,X1) ) ),
inference(definition_folding,[],[f61,f115,f114]) ).
fof(f114,plain,
! [X0,X2,X1] :
( sP8(X0,X2,X1)
<=> ( push = X0
& ~ happens(pull,X2)
& forwards = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f61,plain,
! [X1,X2,X0] :
( initiates(X0,X1,X2)
<=> ( ( spinning = X1
& pull = X0
& happens(push,X2) )
| ( backwards = X1
& ~ happens(push,X2)
& pull = X0 )
| ( push = X0
& ~ happens(pull,X2)
& forwards = X1 ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X1,X4] :
( ( ( ~ happens(pull,X4)
& push = X3
& forwards = X1 )
| ( ~ happens(push,X4)
& backwards = X1
& pull = X3 )
| ( happens(push,X4)
& pull = X3
& spinning = X1 ) )
<=> initiates(X3,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).
fof(f521,plain,
( initiates(push,spinning,n0)
| ~ spl14_24 ),
inference(backward_demodulation,[],[f340,f504]) ).
fof(f340,plain,
initiates(sK13(spinning,n0),spinning,n0),
inference(subsumption_resolution,[],[f339,f282]) ).
fof(f339,plain,
( initiates(sK13(spinning,n0),spinning,n0)
| ~ holdsAt(spinning,n1) ),
inference(forward_demodulation,[],[f338,f279]) ).
fof(f279,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f338,plain,
( ~ holdsAt(spinning,plus(n0,n1))
| initiates(sK13(spinning,n0),spinning,n0) ),
inference(subsumption_resolution,[],[f333,f299]) ).
fof(f299,plain,
! [X0,X1] : ~ releasedAt(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] : ~ releasedAt(X1,X0),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X1] : ~ releasedAt(X1,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_releasedAt) ).
fof(f333,plain,
( releasedAt(spinning,plus(n0,n1))
| ~ holdsAt(spinning,plus(n0,n1))
| initiates(sK13(spinning,n0),spinning,n0) ),
inference(resolution,[],[f205,f285]) ).
fof(f285,plain,
! [X0,X1] :
( holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,plus(X1,n1))
| initiates(sK13(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ( initiates(sK13(X0,X1),X0,X1)
& happens(sK13(X0,X1),X1) )
| holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f96,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
=> ( initiates(sK13(X0,X1),X0,X1)
& happens(sK13(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
| holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1)) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( ~ holdsAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ( ~ holdsAt(X0,X1)
& ~ releasedAt(X0,plus(X1,n1))
& ~ ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) ) )
=> ~ holdsAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X4] :
( ( ~ releasedAt(X1,plus(X4,n1))
& ~ ? [X3] :
( happens(X3,X4)
& initiates(X3,X1,X4) )
& ~ holdsAt(X1,X4) )
=> ~ holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_holding) ).
fof(f539,plain,
( ~ spl14_14
| ~ spl14_24 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| ~ spl14_14
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f536,f283]) ).
fof(f283,plain,
forwards != spinning,
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
forwards != spinning,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forwards_not_spinning) ).
fof(f536,plain,
( forwards = spinning
| ~ spl14_14
| ~ spl14_24 ),
inference(resolution,[],[f519,f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ sP8(X0,X1,X2)
| forwards = X2 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| push != X0
| happens(pull,X1)
| forwards != X2 )
& ( ( push = X0
& ~ happens(pull,X1)
& forwards = X2 )
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X0,X2,X1] :
( ( sP8(X0,X2,X1)
| push != X0
| happens(pull,X2)
| forwards != X1 )
& ( ( push = X0
& ~ happens(pull,X2)
& forwards = X1 )
| ~ sP8(X0,X2,X1) ) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0,X2,X1] :
( ( sP8(X0,X2,X1)
| push != X0
| happens(pull,X2)
| forwards != X1 )
& ( ( push = X0
& ~ happens(pull,X2)
& forwards = X1 )
| ~ sP8(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f519,plain,
( sP8(push,n0,spinning)
| ~ spl14_14
| ~ spl14_24 ),
inference(backward_demodulation,[],[f437,f504]) ).
fof(f437,plain,
( sP8(sK13(spinning,n0),n0,spinning)
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f523,plain,
( spl14_15
| ~ spl14_24 ),
inference(avatar_split_clause,[],[f522,f502,f439]) ).
fof(f522,plain,
( happens(push,n0)
| ~ spl14_24 ),
inference(backward_demodulation,[],[f337,f504]) ).
fof(f337,plain,
happens(sK13(spinning,n0),n0),
inference(subsumption_resolution,[],[f336,f282]) ).
fof(f336,plain,
( ~ holdsAt(spinning,n1)
| happens(sK13(spinning,n0),n0) ),
inference(forward_demodulation,[],[f335,f279]) ).
fof(f335,plain,
( ~ holdsAt(spinning,plus(n0,n1))
| happens(sK13(spinning,n0),n0) ),
inference(subsumption_resolution,[],[f334,f299]) ).
fof(f334,plain,
( happens(sK13(spinning,n0),n0)
| releasedAt(spinning,plus(n0,n1))
| ~ holdsAt(spinning,plus(n0,n1)) ),
inference(resolution,[],[f205,f284]) ).
fof(f284,plain,
! [X0,X1] :
( holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,plus(X1,n1))
| happens(sK13(X0,X1),X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f518,plain,
( spl14_24
| spl14_23
| spl14_26 ),
inference(avatar_split_clause,[],[f517,f513,f498,f502]) ).
fof(f517,plain,
( n0 = n1
| n0 = n2
| push = sK13(spinning,n0) ),
inference(subsumption_resolution,[],[f489,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| n2 = X0 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| n2 != X0
| pull != X1 )
& ( ( n2 = X0
& pull = X1 )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| n2 != X1
| pull != X0 )
& ( ( n2 = X1
& pull = X0 )
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| n2 != X1
| pull != X0 )
& ( ( n2 = X1
& pull = X0 )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( n2 = X1
& pull = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f489,plain,
( n0 = n2
| n0 = n1
| push = sK13(spinning,n0)
| sP0(n0,sK13(spinning,n0)) ),
inference(resolution,[],[f425,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| push = X0
| n2 = X1
| sP0(X1,X0)
| n1 = X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( pull != X0
| n1 != X1 )
& ( n2 != X1
| push != X0 )
& ( push != X0
| n0 != X1 )
& ~ sP0(X1,X0) ) )
& ( ( pull = X0
& n1 = X1 )
| ( n2 = X1
& push = X0 )
| ( push = X0
& n0 = X1 )
| sP0(X1,X0)
| ~ sP1(X0,X1) ) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( pull != X0
| n1 != X1 )
& ( n2 != X1
| push != X0 )
& ( push != X0
| n0 != X1 )
& ~ sP0(X1,X0) ) )
& ( ( pull = X0
& n1 = X1 )
| ( n2 = X1
& push = X0 )
| ( push = X0
& n0 = X1 )
| sP0(X1,X0)
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ( ( pull = X0
& n1 = X1 )
| ( n2 = X1
& push = X0 )
| ( push = X0
& n0 = X1 )
| sP0(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f425,plain,
sP1(sK13(spinning,n0),n0),
inference(resolution,[],[f337,f198]) ).
fof(f198,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ happens(X0,X1) )
& ( happens(X0,X1)
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> happens(X0,X1) ),
inference(definition_folding,[],[f69,f105,f104]) ).
fof(f69,plain,
! [X0,X1] :
( ( ( pull = X0
& n1 = X1 )
| ( n2 = X1
& push = X0 )
| ( push = X0
& n0 = X1 )
| ( n2 = X1
& pull = X0 ) )
<=> happens(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X4] :
( ( ( push = X3
& n0 = X4 )
| ( n1 = X4
& pull = X3 )
| ( n2 = X4
& pull = X3 )
| ( push = X3
& n2 = X4 ) )
<=> happens(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CSR017+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 17:41:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (409)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50 % (417)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (411)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)
% 0.20/0.53 % (425)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (408)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (400)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (402)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)
% 0.20/0.53 % (404)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (406)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (419)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (423)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.54 % (411)Refutation not found, incomplete strategy% (411)------------------------------
% 0.20/0.54 % (411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (421)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)
% 0.20/0.54 % (411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (411)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (411)Memory used [KB]: 6012
% 0.20/0.54 % (411)Time elapsed: 0.133 s
% 0.20/0.54 % (411)Instructions burned: 3 (million)
% 0.20/0.54 % (411)------------------------------
% 0.20/0.54 % (411)------------------------------
% 1.37/0.54 % (415)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.54 % (410)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)
% 1.37/0.54 % (403)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.54 % (424)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.37/0.54 % (404)Refutation not found, incomplete strategy% (404)------------------------------
% 1.37/0.54 % (404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (404)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.54
% 1.37/0.54 % (404)Memory used [KB]: 6012
% 1.37/0.54 % (404)Time elapsed: 0.142 s
% 1.37/0.54 % (404)Instructions burned: 3 (million)
% 1.37/0.54 % (404)------------------------------
% 1.37/0.54 % (404)------------------------------
% 1.37/0.54 % (402)Instruction limit reached!
% 1.37/0.54 % (402)------------------------------
% 1.37/0.54 % (402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (402)Termination reason: Unknown
% 1.37/0.54 % (402)Termination phase: Property scanning
% 1.37/0.54
% 1.37/0.54 % (402)Memory used [KB]: 1535
% 1.37/0.54 % (402)Time elapsed: 0.004 s
% 1.37/0.54 % (402)Instructions burned: 3 (million)
% 1.37/0.54 % (402)------------------------------
% 1.37/0.54 % (402)------------------------------
% 1.37/0.54 % (410)Refutation not found, incomplete strategy% (410)------------------------------
% 1.37/0.54 % (410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (427)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.55 % (419)Instruction limit reached!
% 1.37/0.55 % (419)------------------------------
% 1.37/0.55 % (419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (419)Termination reason: Unknown
% 1.37/0.55 % (419)Termination phase: Preprocessing 3
% 1.37/0.55
% 1.37/0.55 % (419)Memory used [KB]: 1407
% 1.37/0.55 % (419)Time elapsed: 0.004 s
% 1.37/0.55 % (419)Instructions burned: 2 (million)
% 1.37/0.55 % (419)------------------------------
% 1.37/0.55 % (419)------------------------------
% 1.37/0.55 % (417)First to succeed.
% 1.37/0.55 % (412)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.55 % (413)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.37/0.55 % (407)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.37/0.55 % (422)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.55 % (426)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.37/0.55 % (403)Refutation not found, incomplete strategy% (403)------------------------------
% 1.37/0.55 % (403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (403)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.55
% 1.37/0.55 % (403)Memory used [KB]: 6012
% 1.37/0.55 % (403)Time elapsed: 0.140 s
% 1.37/0.55 % (403)Instructions burned: 4 (million)
% 1.37/0.55 % (403)------------------------------
% 1.37/0.55 % (403)------------------------------
% 1.37/0.55 % (401)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)
% 1.37/0.55 % (407)Refutation not found, incomplete strategy% (407)------------------------------
% 1.37/0.55 % (407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (407)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.55
% 1.37/0.55 % (407)Memory used [KB]: 6012
% 1.37/0.55 % (407)Time elapsed: 0.119 s
% 1.37/0.55 % (407)Instructions burned: 5 (million)
% 1.37/0.55 % (407)------------------------------
% 1.37/0.55 % (407)------------------------------
% 1.37/0.55 % (406)Refutation not found, incomplete strategy% (406)------------------------------
% 1.37/0.55 % (406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (406)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.55
% 1.37/0.55 % (406)Memory used [KB]: 1535
% 1.37/0.55 % (406)Time elapsed: 0.149 s
% 1.37/0.55 % (406)Instructions burned: 2 (million)
% 1.37/0.55 % (406)------------------------------
% 1.37/0.55 % (406)------------------------------
% 1.37/0.55 % (429)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.37/0.55 % (415)Instruction limit reached!
% 1.37/0.55 % (415)------------------------------
% 1.37/0.55 % (415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (415)Termination reason: Unknown
% 1.37/0.55 % (415)Termination phase: Equality resolution with deletion
% 1.37/0.55
% 1.37/0.55 % (415)Memory used [KB]: 1535
% 1.37/0.55 % (415)Time elapsed: 0.006 s
% 1.37/0.55 % (415)Instructions burned: 4 (million)
% 1.37/0.55 % (415)------------------------------
% 1.37/0.55 % (415)------------------------------
% 1.37/0.56 % (420)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.37/0.56 % (410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56 % (410)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.56
% 1.37/0.56 % (410)Memory used [KB]: 6140
% 1.37/0.56 % (410)Time elapsed: 0.142 s
% 1.37/0.56 % (410)Instructions burned: 5 (million)
% 1.37/0.56 % (410)------------------------------
% 1.37/0.56 % (410)------------------------------
% 1.37/0.56 % (430)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.37/0.56 % (414)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.56 % (416)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.56 % (428)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)
% 1.37/0.56 % (418)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.56 % (424)Refutation not found, incomplete strategy% (424)------------------------------
% 1.37/0.56 % (424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56 % (424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56 % (424)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.56
% 1.37/0.56 % (424)Memory used [KB]: 1663
% 1.37/0.56 % (424)Time elapsed: 0.154 s
% 1.37/0.56 % (424)Instructions burned: 7 (million)
% 1.37/0.56 % (424)------------------------------
% 1.37/0.56 % (424)------------------------------
% 1.37/0.56 % (420)Refutation not found, incomplete strategy% (420)------------------------------
% 1.37/0.56 % (420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56 % (420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56 % (420)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.56
% 1.37/0.56 % (420)Memory used [KB]: 6140
% 1.37/0.56 % (420)Time elapsed: 0.154 s
% 1.37/0.56 % (420)Instructions burned: 5 (million)
% 1.37/0.56 % (420)------------------------------
% 1.37/0.56 % (420)------------------------------
% 1.37/0.56 % (416)Instruction limit reached!
% 1.37/0.56 % (416)------------------------------
% 1.37/0.56 % (416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56 % (416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56 % (416)Termination reason: Unknown
% 1.37/0.56 % (416)Termination phase: Saturation
% 1.37/0.56
% 1.37/0.56 % (416)Memory used [KB]: 6140
% 1.37/0.56 % (416)Time elapsed: 0.132 s
% 1.37/0.56 % (416)Instructions burned: 8 (million)
% 1.37/0.56 % (416)------------------------------
% 1.37/0.56 % (416)------------------------------
% 1.37/0.56 % (418)Instruction limit reached!
% 1.37/0.56 % (418)------------------------------
% 1.37/0.56 % (418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56 % (418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56 % (418)Termination reason: Unknown
% 1.37/0.56 % (418)Termination phase: Property scanning
% 1.37/0.56
% 1.37/0.56 % (418)Memory used [KB]: 1535
% 1.37/0.56 % (418)Time elapsed: 0.004 s
% 1.37/0.56 % (418)Instructions burned: 3 (million)
% 1.37/0.56 % (418)------------------------------
% 1.37/0.56 % (418)------------------------------
% 1.67/0.56 % (417)Refutation found. Thanks to Tanya!
% 1.67/0.56 % SZS status Theorem for theBenchmark
% 1.67/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.57 % (417)------------------------------
% 1.67/0.57 % (417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.57 % (417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.57 % (417)Termination reason: Refutation
% 1.67/0.57
% 1.67/0.57 % (417)Memory used [KB]: 6396
% 1.67/0.57 % (417)Time elapsed: 0.136 s
% 1.67/0.57 % (417)Instructions burned: 15 (million)
% 1.67/0.57 % (417)------------------------------
% 1.67/0.57 % (417)------------------------------
% 1.67/0.57 % (399)Success in time 0.205 s
%------------------------------------------------------------------------------