TSTP Solution File: KRS148+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Sun May 5 07:19:50 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 65 ( 14 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 231 ( 92 ~; 89 |; 32 &)
% ( 14 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 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 : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f608,plain,
$false,
inference(avatar_sat_refutation,[],[f583,f584,f585,f587,f592,f595,f599,f602,f605,f607]) ).
fof(f607,plain,
~ spl40_2,
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| ~ spl40_2 ),
inference(subsumption_resolution,[],[f558,f335]) ).
fof(f335,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(f558,plain,
( cowlNothing(sK1)
| ~ spl40_2 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl40_2
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).
fof(f605,plain,
( ~ spl40_3
| ~ spl40_4 ),
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f604,plain,
( $false
| ~ spl40_3
| ~ spl40_4 ),
inference(subsumption_resolution,[],[f603,f561]) ).
fof(f561,plain,
( xsd_string(sK0)
| ~ spl40_3 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f560,plain,
( spl40_3
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f603,plain,
( ~ xsd_string(sK0)
| ~ spl40_4 ),
inference(resolution,[],[f566,f340]) ).
fof(f340,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,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(f566,plain,
( xsd_integer(sK0)
| ~ spl40_4 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f564,plain,
( spl40_4
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f602,plain,
( spl40_3
| spl40_4 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| spl40_3
| spl40_4 ),
inference(subsumption_resolution,[],[f600,f562]) ).
fof(f562,plain,
( ~ xsd_string(sK0)
| spl40_3 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f600,plain,
( xsd_string(sK0)
| spl40_4 ),
inference(resolution,[],[f565,f341]) ).
fof(f341,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f565,plain,
( ~ xsd_integer(sK0)
| spl40_4 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f599,plain,
spl40_7,
inference(avatar_split_clause,[],[f596,f576]) ).
fof(f576,plain,
( spl40_7
<=> cC116(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_7])]) ).
fof(f596,plain,
cC116(iV5475),
inference(resolution,[],[f550,f327]) ).
fof(f327,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
fof(f550,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( cC116(X0)
& cC140(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( cTEST(X0)
=> ( cC116(X0)
& cC140(X0) ) ),
inference(unused_predicate_definition_removal,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC116(X0)
& cC140(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(f595,plain,
( spl40_5
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f593,f580,f568]) ).
fof(f568,plain,
( spl40_5
<=> cC138(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f580,plain,
( spl40_8
<=> cC140(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_8])]) ).
fof(f593,plain,
( cC138(iV5475)
| ~ spl40_8 ),
inference(resolution,[],[f581,f526]) ).
fof(f526,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ( cC140(X0)
| ~ cC138(X0)
| ~ cTOP(X0) )
& ( ( cC138(X0)
& cTOP(X0) )
| ~ cC140(X0) ) ),
inference(flattening,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ( cC140(X0)
| ~ cC138(X0)
| ~ cTOP(X0) )
& ( ( cC138(X0)
& cTOP(X0) )
| ~ cC140(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( cC140(X0)
<=> ( cC138(X0)
& cTOP(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f581,plain,
( cC140(iV5475)
| ~ spl40_8 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f592,plain,
spl40_8,
inference(avatar_split_clause,[],[f591,f580]) ).
fof(f591,plain,
cC140(iV5475),
inference(resolution,[],[f549,f327]) ).
fof(f549,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f587,plain,
spl40_1,
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| spl40_1 ),
inference(resolution,[],[f334,f554]) ).
fof(f554,plain,
( ~ cowlThing(sK1)
| spl40_1 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f552,plain,
( spl40_1
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f334,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f585,plain,
spl40_6,
inference(avatar_split_clause,[],[f332,f572]) ).
fof(f572,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(f584,plain,
( ~ spl40_1
| spl40_2
| spl40_3
| ~ spl40_4
| ~ spl40_5
| ~ spl40_6
| ~ spl40_7
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f319,f580,f576,f572,f568,f564,f560,f556,f552]) ).
fof(f319,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) )
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f100,f102,f101]) ).
fof(f101,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
~ ( cC140(iV5475)
& cC116(iV5475)
& cowlThing(iV5475)
& cC138(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f91]) ).
fof(f91,negated_conjecture,
~ ( cC140(iV5475)
& cC116(iV5475)
& cowlThing(iV5475)
& cC138(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f90]) ).
fof(f90,conjecture,
( cC140(iV5475)
& cC116(iV5475)
& cowlThing(iV5475)
& cC138(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f583,plain,
( ~ spl40_1
| spl40_2
| ~ spl40_3
| spl40_4
| ~ spl40_5
| ~ spl40_6
| ~ spl40_7
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f320,f580,f576,f572,f568,f564,f560,f556,f552]) ).
fof(f320,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:50:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (28938)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (28943)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39 % (28944)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39 % (28940)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (28941)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.39 % (28942)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39 % (28945)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39 % (28939)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39 % (28944)First to succeed.
% 0.21/0.39 % (28944)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28938"
% 0.21/0.39 % (28944)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (28944)------------------------------
% 0.21/0.39 % (28944)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (28944)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (28944)Memory used [KB]: 1036
% 0.21/0.39 % (28944)Time elapsed: 0.006 s
% 0.21/0.39 % (28944)Instructions burned: 10 (million)
% 0.21/0.39 % (28938)Success in time 0.022 s
%------------------------------------------------------------------------------