TSTP Solution File: KRS148+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS148+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n022.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 17:30:56 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 14 unt; 0 def)
% Number of atoms : 214 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 247 ( 99 ~; 97 |; 33 &)
% ( 14 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 9 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 22 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f614,plain,
$false,
inference(avatar_sat_refutation,[],[f584,f585,f586,f588,f590,f594,f602,f603,f609,f613]) ).
fof(f613,plain,
( ~ spl40_1
| ~ spl40_7 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl40_1
| ~ spl40_7 ),
inference(subsumption_resolution,[],[f611,f554]) ).
fof(f554,plain,
( xsd_string(sK33)
| ~ spl40_1 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f553,plain,
( spl40_1
<=> xsd_string(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f611,plain,
( ~ xsd_string(sK33)
| ~ spl40_7 ),
inference(resolution,[],[f551,f579]) ).
fof(f579,plain,
( xsd_integer(sK33)
| ~ spl40_7 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl40_7
<=> xsd_integer(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_7])]) ).
fof(f551,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0] :
( ( ~ xsd_integer(X0)
| ~ xsd_string(X0) )
& ( xsd_string(X0)
| xsd_integer(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f609,plain,
( spl40_1
| spl40_7 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f608,plain,
( $false
| spl40_1
| spl40_7 ),
inference(subsumption_resolution,[],[f607,f555]) ).
fof(f555,plain,
( ~ xsd_string(sK33)
| spl40_1 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f607,plain,
( xsd_string(sK33)
| spl40_7 ),
inference(resolution,[],[f550,f578]) ).
fof(f578,plain,
( ~ xsd_integer(sK33)
| spl40_7 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f550,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f603,plain,
( spl40_4
| ~ spl40_3 ),
inference(avatar_split_clause,[],[f598,f561,f565]) ).
fof(f565,plain,
( spl40_4
<=> cC138(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f561,plain,
( spl40_3
<=> cC140(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f598,plain,
( cC138(iV5475)
| ~ spl40_3 ),
inference(resolution,[],[f432,f562]) ).
fof(f562,plain,
( cC140(iV5475)
| ~ spl40_3 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f432,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( ( cC138(X0)
& cTOP(X0) )
| ~ cC140(X0) )
& ( cC140(X0)
| ~ cC138(X0)
| ~ cTOP(X0) ) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ( ( cC138(X0)
& cTOP(X0) )
| ~ cC140(X0) )
& ( cC140(X0)
| ~ cC138(X0)
| ~ cTOP(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ( cC138(X0)
& cTOP(X0) )
<=> cC140(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f602,plain,
spl40_5,
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| spl40_5 ),
inference(subsumption_resolution,[],[f571,f489]) ).
fof(f489,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f571,plain,
( ~ cowlThing(sK32)
| spl40_5 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f569,plain,
( spl40_5
<=> cowlThing(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f594,plain,
spl40_3,
inference(avatar_split_clause,[],[f591,f561]) ).
fof(f591,plain,
cC140(iV5475),
inference(resolution,[],[f334,f449]) ).
fof(f449,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
fof(f334,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( cC140(X0)
& cC116(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( cTEST(X0)
=> ( cC140(X0)
& cC116(X0) ) ),
inference(unused_predicate_definition_removal,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( ( cC140(X0)
& cC116(X0) )
<=> cTEST(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(f590,plain,
spl40_8,
inference(avatar_split_clause,[],[f589,f581]) ).
fof(f581,plain,
( spl40_8
<=> cC116(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_8])]) ).
fof(f589,plain,
cC116(iV5475),
inference(resolution,[],[f333,f449]) ).
fof(f333,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f588,plain,
~ spl40_2,
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl40_2 ),
inference(subsumption_resolution,[],[f559,f488]) ).
fof(f488,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f559,plain,
( cowlNothing(sK32)
| ~ spl40_2 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f557,plain,
( spl40_2
<=> cowlNothing(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).
fof(f586,plain,
spl40_6,
inference(avatar_split_clause,[],[f332,f573]) ).
fof(f573,plain,
( spl40_6
<=> cowlThing(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_6])]) ).
fof(f332,plain,
cowlThing(iV5475),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
cowlThing(iV5475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
fof(f585,plain,
( spl40_1
| ~ spl40_8
| ~ spl40_4
| ~ spl40_6
| ~ spl40_5
| ~ spl40_3
| ~ spl40_7
| spl40_2 ),
inference(avatar_split_clause,[],[f521,f557,f577,f561,f569,f573,f565,f581,f553]) ).
fof(f521,plain,
( cowlNothing(sK32)
| ~ xsd_integer(sK33)
| ~ cC140(iV5475)
| ~ cowlThing(sK32)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| xsd_string(sK33) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
( ~ cC138(iV5475)
| ~ cC116(iV5475)
| cowlNothing(sK32)
| ~ cowlThing(sK32)
| ( ( ~ xsd_string(sK33)
| xsd_integer(sK33) )
& ( xsd_string(sK33)
| ~ xsd_integer(sK33) ) )
| ~ cC140(iV5475)
| ~ cowlThing(iV5475) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f285,f287,f286]) ).
fof(f286,plain,
( ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
=> ( cowlNothing(sK32)
| ~ cowlThing(sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f287,plain,
( ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
=> ( ( ~ xsd_string(sK33)
| xsd_integer(sK33) )
& ( xsd_string(sK33)
| ~ xsd_integer(sK33) ) ) ),
introduced(choice_axiom,[]) ).
fof(f285,plain,
( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
| ~ cC140(iV5475)
| ~ cowlThing(iV5475) ),
inference(rectify,[],[f284]) ).
fof(f284,plain,
( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
| ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
| ~ cC140(iV5475)
| ~ cowlThing(iV5475) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
| ? [X0] :
( ~ xsd_integer(X0)
<~> xsd_string(X0) )
| ~ cC140(iV5475)
| ~ cowlThing(iV5475) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
~ ( cC138(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475) ),
inference(rectify,[],[f91]) ).
fof(f91,negated_conjecture,
~ ( cC140(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC138(iV5475)
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& cC116(iV5475)
& cowlThing(iV5475) ),
inference(negated_conjecture,[],[f90]) ).
fof(f90,conjecture,
( cC140(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC138(iV5475)
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& cC116(iV5475)
& cowlThing(iV5475) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f584,plain,
( ~ spl40_1
| spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_5
| ~ spl40_6
| spl40_7
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f522,f581,f577,f573,f569,f565,f561,f557,f553]) ).
fof(f522,plain,
( ~ cC116(iV5475)
| xsd_integer(sK33)
| ~ cowlThing(iV5475)
| ~ cowlThing(sK32)
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| cowlNothing(sK32)
| ~ xsd_string(sK33) ),
inference(cnf_transformation,[],[f288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS148+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:35:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.51 % (12172)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)
% 0.20/0.51 % (12164)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (12164)Instruction limit reached!
% 0.20/0.51 % (12164)------------------------------
% 0.20/0.51 % (12164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (12164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (12164)Termination reason: Unknown
% 0.20/0.51 % (12164)Termination phase: Naming
% 0.20/0.51
% 0.20/0.51 % (12164)Memory used [KB]: 1023
% 0.20/0.51 % (12164)Time elapsed: 0.002 s
% 0.20/0.51 % (12164)Instructions burned: 2 (million)
% 0.20/0.51 % (12164)------------------------------
% 0.20/0.51 % (12164)------------------------------
% 0.20/0.52 % (12172)First to succeed.
% 0.20/0.52 % (12172)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (12172)------------------------------
% 0.20/0.52 % (12172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12172)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (12172)Memory used [KB]: 5756
% 0.20/0.52 % (12172)Time elapsed: 0.109 s
% 0.20/0.52 % (12172)Instructions burned: 8 (million)
% 0.20/0.52 % (12172)------------------------------
% 0.20/0.52 % (12172)------------------------------
% 0.20/0.52 % (12155)Success in time 0.167 s
%------------------------------------------------------------------------------