TSTP Solution File: KRS129+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS129+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_uns --cores 0 -t %d %s
% Computer : n004.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 17:29:47 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 61 ( 9 unt; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 202 ( 80 ~; 76 |; 28 &)
% ( 14 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 51 ( 38 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f235,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f170,f225,f226,f229,f232,f234]) ).
fof(f234,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f233,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f152,f128]) ).
fof(f128,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f152,plain,
( cowlNothing(sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl3_1
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f232,plain,
( ~ spl3_3
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f231,plain,
( $false
| ~ spl3_3
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f230,f159]) ).
fof(f159,plain,
( xsd_integer(sK0)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl3_3
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f230,plain,
( ~ xsd_integer(sK0)
| ~ spl3_5 ),
inference(resolution,[],[f168,f113]) ).
fof(f113,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f168,plain,
( xsd_string(sK0)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl3_5
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f229,plain,
( spl3_3
| spl3_5 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| spl3_3
| spl3_5 ),
inference(subsumption_resolution,[],[f227,f160]) ).
fof(f160,plain,
( ~ xsd_integer(sK0)
| spl3_3 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f227,plain,
( xsd_integer(sK0)
| spl3_5 ),
inference(resolution,[],[f167,f114]) ).
fof(f114,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f167,plain,
( ~ xsd_string(sK0)
| spl3_5 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f226,plain,
spl3_2,
inference(avatar_split_clause,[],[f220,f154]) ).
fof(f154,plain,
( spl3_2
<=> cEuroMP(iKinnock) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f220,plain,
cEuroMP(iKinnock),
inference(resolution,[],[f177,f97]) ).
fof(f97,plain,
rhasEuroMP(iUK,iKinnock),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
rhasEuroMP(iUK,iKinnock),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f177,plain,
! [X0,X1] :
( ~ rhasEuroMP(X1,X0)
| cEuroMP(X0) ),
inference(resolution,[],[f176,f101]) ).
fof(f101,plain,
! [X0,X1] :
( risEuroMPFrom(X1,X0)
| ~ rhasEuroMP(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( rhasEuroMP(X0,X1)
| ~ risEuroMPFrom(X1,X0) )
& ( risEuroMPFrom(X1,X0)
| ~ rhasEuroMP(X0,X1) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( rhasEuroMP(X0,X1)
<=> risEuroMPFrom(X1,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X3] :
( rhasEuroMP(X4,X3)
<=> risEuroMPFrom(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f176,plain,
! [X0,X1] :
( ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(subsumption_resolution,[],[f122,f127]) ).
fof(f127,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f37]) ).
fof(f122,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( cEuroMP(X0)
| ! [X1] :
( ~ risEuroMPFrom(X0,X1)
| ~ cowlThing(X1) ) )
& ( ( risEuroMPFrom(X0,sK2(X0))
& cowlThing(sK2(X0)) )
| ~ cEuroMP(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f85,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X2] :
( risEuroMPFrom(X0,X2)
& cowlThing(X2) )
=> ( risEuroMPFrom(X0,sK2(X0))
& cowlThing(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ( cEuroMP(X0)
| ! [X1] :
( ~ risEuroMPFrom(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X2] :
( risEuroMPFrom(X0,X2)
& cowlThing(X2) )
| ~ cEuroMP(X0) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( cEuroMP(X0)
| ! [X1] :
( ~ risEuroMPFrom(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X1] :
( risEuroMPFrom(X0,X1)
& cowlThing(X1) )
| ~ cEuroMP(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( cEuroMP(X0)
<=> ? [X1] :
( risEuroMPFrom(X0,X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( cEuroMP(X3)
<=> ? [X4] :
( risEuroMPFrom(X3,X4)
& cowlThing(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f225,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f224]) ).
fof(f224,plain,
( $false
| spl3_4 ),
inference(subsumption_resolution,[],[f164,f127]) ).
fof(f164,plain,
( ~ cowlThing(sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl3_4
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f170,plain,
( spl3_3
| ~ spl3_4
| ~ spl3_2
| spl3_1
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f104,f166,f150,f154,f162,f158]) ).
fof(f104,plain,
( ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cEuroMP(iKinnock)
| ~ cowlThing(sK1)
| xsd_integer(sK0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ~ cEuroMP(iKinnock)
| ( ( 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])],[f75,f77,f76]) ).
fof(f76,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(f77,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ~ cEuroMP(iKinnock)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
( ~ cEuroMP(iKinnock)
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ~ cEuroMP(iKinnock)
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ( ! [X1] :
( ~ xsd_integer(X1)
<=> xsd_string(X1) )
& cEuroMP(iKinnock)
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ( cEuroMP(iKinnock)
& ! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) )
& ! [X3] :
( ~ xsd_integer(X3)
<=> xsd_string(X3) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
( cEuroMP(iKinnock)
& ! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) )
& ! [X3] :
( ~ xsd_integer(X3)
<=> xsd_string(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f169,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f103,f166,f162,f158,f154,f150]) ).
fof(f103,plain,
( xsd_string(sK0)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK0)
| ~ cEuroMP(iKinnock)
| cowlNothing(sK1) ),
inference(cnf_transformation,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS129+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 00:30:50 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.20/0.55 % (11214)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.55 % (11214)First to succeed.
% 0.20/0.55 % (11214)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (11214)------------------------------
% 0.20/0.55 % (11214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (11214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (11214)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (11214)Memory used [KB]: 6012
% 0.20/0.55 % (11214)Time elapsed: 0.129 s
% 0.20/0.55 % (11214)Instructions burned: 4 (million)
% 0.20/0.55 % (11214)------------------------------
% 0.20/0.55 % (11214)------------------------------
% 0.20/0.55 % (11213)Success in time 0.198 s
%------------------------------------------------------------------------------