TSTP Solution File: KRS152+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS152+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 : n028.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 17:30:57 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 68 ( 19 unt; 0 def)
% Number of atoms : 212 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 247 ( 103 ~; 94 |; 32 &)
% ( 14 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 9 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(avatar_sat_refutation,[],[f97,f98,f101,f103,f106,f114,f116,f118,f123]) ).
fof(f123,plain,
( ~ spl3_4
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f122,plain,
( $false
| ~ spl3_4
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f121,f79]) ).
fof(f79,plain,
( xsd_string(sK1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl3_4
<=> xsd_string(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f121,plain,
( ~ xsd_string(sK1)
| ~ spl3_5 ),
inference(resolution,[],[f84,f54]) ).
fof(f54,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f84,plain,
( xsd_integer(sK1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl3_5
<=> xsd_integer(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f118,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f88,f47]) ).
fof(f47,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f88,plain,
( cowlNothing(sK2)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl3_6
<=> cowlNothing(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f116,plain,
spl3_8,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| spl3_8 ),
inference(subsumption_resolution,[],[f96,f46]) ).
fof(f46,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f96,plain,
( ~ cowlThing(iV21080)
| spl3_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl3_8
<=> cowlThing(iV21080) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f114,plain,
spl3_3,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| spl3_3 ),
inference(subsumption_resolution,[],[f112,f76]) ).
fof(f76,plain,
( ~ cC10(iV21081)
| spl3_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl3_3
<=> cC10(iV21081) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f112,plain,
cC10(iV21081),
inference(subsumption_resolution,[],[f111,f60]) ).
fof(f60,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f111,plain,
( ~ cC2(iV21081)
| cC10(iV21081) ),
inference(resolution,[],[f41,f61]) ).
fof(f61,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f41,plain,
! [X0] :
( ~ cC4(X0)
| cC10(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( ( cC2(X0)
& cC4(X0) )
| ~ cC10(X0) )
& ( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( ( cC2(X0)
& cC4(X0) )
| ~ cC10(X0) )
& ( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( cC2(X0)
& cC4(X0) )
<=> cC10(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f106,plain,
spl3_7,
inference(avatar_split_clause,[],[f105,f90]) ).
fof(f90,plain,
( spl3_7
<=> cC12(iV21080) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f105,plain,
cC12(iV21080),
inference(resolution,[],[f53,f44]) ).
fof(f44,plain,
cTEST(iV21080),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f53,plain,
! [X0] :
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( cC12(X0)
& ~ cC8(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( cTEST(X0)
=> ( cC12(X0)
& ~ cC8(X0) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC12(X0)
& ~ cC8(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f103,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f68,f46]) ).
fof(f68,plain,
( ~ cowlThing(sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl3_1
<=> cowlThing(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f101,plain,
( spl3_4
| ~ spl3_3
| ~ spl3_8
| ~ spl3_2
| ~ spl3_7
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f100,f66,f90,f70,f94,f74,f78]) ).
fof(f70,plain,
( spl3_2
<=> cowlThing(iV21081) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f100,plain,
( ~ cowlThing(sK2)
| ~ cC12(iV21080)
| ~ cowlThing(iV21081)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f99,f55]) ).
fof(f55,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f99,plain,
( ~ cowlThing(sK2)
| ~ cC10(iV21081)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing(iV21081) ),
inference(subsumption_resolution,[],[f63,f47]) ).
fof(f63,plain,
( ~ cowlThing(iV21081)
| xsd_string(sK1)
| ~ xsd_integer(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ( ( ~ xsd_string(sK1)
| xsd_integer(sK1) )
& ( xsd_string(sK1)
| ~ xsd_integer(sK1) ) )
| ~ cC12(iV21080)
| cowlNothing(sK2)
| ~ cowlThing(sK2)
| ~ cowlThing(iV21081) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f36,f38,f37]) ).
fof(f37,plain,
( ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
=> ( ( ~ xsd_string(sK1)
| xsd_integer(sK1) )
& ( xsd_string(sK1)
| ~ xsd_integer(sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK2)
| ~ cowlThing(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
| ~ cC12(iV21080)
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
| ~ cowlThing(iV21081) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ? [X0] :
( ~ xsd_integer(X0)
<~> xsd_string(X0) )
| ~ cC12(iV21080)
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
| ~ cowlThing(iV21081) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ( cowlThing(iV21081)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21080)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ( cC12(iV21080)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& cowlThing(iV21080)
& cowlThing(iV21081)
& cC10(iV21081)
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
( cC12(iV21080)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& cowlThing(iV21080)
& cowlThing(iV21081)
& cC10(iV21081)
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f98,plain,
spl3_2,
inference(avatar_split_clause,[],[f51,f70]) ).
fof(f51,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f97,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f64,f94,f90,f86,f82,f78,f74,f70,f66]) ).
fof(f64,plain,
( ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| cowlNothing(sK2)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS152+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n028.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 00:44:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (23201)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)
% 0.19/0.52 % (23211)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (23211)First to succeed.
% 0.19/0.52 % (23201)Also succeeded, but the first one will report.
% 0.19/0.53 % (23211)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (23211)------------------------------
% 0.19/0.53 % (23211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23211)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (23211)Memory used [KB]: 5373
% 0.19/0.53 % (23211)Time elapsed: 0.108 s
% 0.19/0.53 % (23211)Instructions burned: 1 (million)
% 0.19/0.53 % (23211)------------------------------
% 0.19/0.53 % (23211)------------------------------
% 0.19/0.53 % (23186)Success in time 0.171 s
%------------------------------------------------------------------------------