TSTP Solution File: KRS168+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS168+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 : n014.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 17:29:54 EDT 2022
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 68 ( 5 unt; 0 def)
% Number of atoms : 304 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 381 ( 145 ~; 178 |; 40 &)
% ( 13 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 16 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f57,f68,f69,f74,f75,f78,f80,f83,f85]) ).
fof(f85,plain,
spl3_6,
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f84,plain,
( $false
| spl3_6 ),
inference(subsumption_resolution,[],[f73,f16]) ).
fof(f16,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f73,plain,
( ~ cowlThing(sK1)
| spl3_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl3_6
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f83,plain,
( ~ spl3_1
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| ~ spl3_1
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f81,f62]) ).
fof(f62,plain,
( xsd_string(sK2)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl3_4
<=> xsd_string(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f81,plain,
( ~ xsd_string(sK2)
| ~ spl3_1 ),
inference(resolution,[],[f46,f28]) ).
fof(f28,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,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/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f46,plain,
( xsd_integer(sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl3_1
<=> xsd_integer(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f80,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f67,f15]) ).
fof(f15,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
( cowlNothing(sK1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl3_5
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f78,plain,
( spl3_1
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| spl3_1
| spl3_4 ),
inference(subsumption_resolution,[],[f76,f47]) ).
fof(f47,plain,
( ~ xsd_integer(sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f76,plain,
( xsd_integer(sK2)
| spl3_4 ),
inference(resolution,[],[f63,f27]) ).
fof(f27,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f63,plain,
( ~ xsd_string(sK2)
| spl3_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f75,plain,
( spl3_3
| spl3_5
| ~ spl3_1
| spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f35,f61,f49,f45,f65,f54]) ).
fof(f54,plain,
( spl3_3
<=> cA(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f49,plain,
( spl3_2
<=> cB(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f35,plain,
( xsd_string(sK2)
| cB(sK0)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| cA(sK0) ),
inference(subsumption_resolution,[],[f33,f16]) ).
fof(f33,plain,
( cB(sK0)
| ~ xsd_integer(sK2)
| xsd_string(sK2)
| cA(sK0)
| ~ cowlThing(sK1)
| cowlNothing(sK1) ),
inference(duplicate_literal_removal,[],[f25]) ).
fof(f25,plain,
( cA(sK0)
| xsd_string(sK2)
| cA(sK0)
| cB(sK0)
| cB(sK0)
| cowlNothing(sK1)
| ~ xsd_integer(sK2)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ( cB(sK0)
| cA(sK0)
| cA(sK0)
| cB(sK0) )
& ( ( ~ cB(sK0)
& ~ cA(sK0) )
| ( ~ cA(sK0)
& ~ cB(sK0) ) ) )
| ~ cowlThing(sK1)
| cowlNothing(sK1)
| ( ( xsd_integer(sK2)
| ~ xsd_string(sK2) )
& ( ~ xsd_integer(sK2)
| xsd_string(sK2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f12,f11,f10]) ).
fof(f10,plain,
( ? [X0] :
( ( cB(X0)
| cA(X0)
| cA(X0)
| cB(X0) )
& ( ( ~ cB(X0)
& ~ cA(X0) )
| ( ~ cA(X0)
& ~ cB(X0) ) ) )
=> ( ( cB(sK0)
| cA(sK0)
| cA(sK0)
| cB(sK0) )
& ( ( ~ cB(sK0)
& ~ cA(sK0) )
| ( ~ cA(sK0)
& ~ cB(sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
=> ( ~ cowlThing(sK1)
| cowlNothing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X2] :
( ( xsd_integer(X2)
| ~ xsd_string(X2) )
& ( ~ xsd_integer(X2)
| xsd_string(X2) ) )
=> ( ( xsd_integer(sK2)
| ~ xsd_string(sK2) )
& ( ~ xsd_integer(sK2)
| xsd_string(sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X0] :
( ( cB(X0)
| cA(X0)
| cA(X0)
| cB(X0) )
& ( ( ~ cB(X0)
& ~ cA(X0) )
| ( ~ cA(X0)
& ~ cB(X0) ) ) )
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X2] :
( ( xsd_integer(X2)
| ~ xsd_string(X2) )
& ( ~ xsd_integer(X2)
| xsd_string(X2) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
( ? [X2] :
( ( cB(X2)
| cA(X2)
| cA(X2)
| cB(X2) )
& ( ( ~ cB(X2)
& ~ cA(X2) )
| ( ~ cA(X2)
& ~ cB(X2) ) ) )
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
( ? [X2] :
( ( cB(X2)
| cA(X2)
| cA(X2)
| cB(X2) )
& ( ( ~ cB(X2)
& ~ cA(X2) )
| ( ~ cA(X2)
& ~ cB(X2) ) ) )
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ? [X2] :
( ( ~ cA(X2)
& ~ cB(X2) )
<~> ( ~ cB(X2)
& ~ cA(X2) ) )
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ( ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X2] :
( ( ~ cA(X2)
& ~ cB(X2) )
<=> ~ ( cA(X2)
| cB(X2) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& ! [X0] :
( ~ ( cB(X0)
| cA(X0) )
<=> ( ~ cA(X0)
& ~ cB(X0) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& ! [X0] :
( ~ ( cB(X0)
| cA(X0) )
<=> ( ~ cA(X0)
& ~ cB(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f74,plain,
( ~ spl3_1
| ~ spl3_6
| ~ spl3_3
| spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f34,f65,f61,f54,f71,f45]) ).
fof(f34,plain,
( cowlNothing(sK1)
| xsd_string(sK2)
| ~ cA(sK0)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK2) ),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f19,plain,
( ~ cA(sK0)
| xsd_string(sK2)
| ~ cA(sK0)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| cowlNothing(sK1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f69,plain,
( ~ spl3_4
| spl3_1
| ~ spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f37,f65,f49,f45,f61]) ).
fof(f37,plain,
( cowlNothing(sK1)
| ~ cB(sK0)
| xsd_integer(sK2)
| ~ xsd_string(sK2) ),
inference(subsumption_resolution,[],[f31,f16]) ).
fof(f31,plain,
( ~ cB(sK0)
| xsd_integer(sK2)
| cowlNothing(sK1)
| ~ xsd_string(sK2)
| ~ cowlThing(sK1) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| ~ cB(sK0)
| ~ cB(sK0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f68,plain,
( spl3_1
| ~ spl3_3
| ~ spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f36,f65,f61,f54,f45]) ).
fof(f36,plain,
( cowlNothing(sK1)
| ~ xsd_string(sK2)
| ~ cA(sK0)
| xsd_integer(sK2) ),
inference(subsumption_resolution,[],[f32,f16]) ).
fof(f32,plain,
( ~ xsd_string(sK2)
| ~ cowlThing(sK1)
| ~ cA(sK0)
| cowlNothing(sK1)
| xsd_integer(sK2) ),
inference(duplicate_literal_removal,[],[f20]) ).
fof(f20,plain,
( ~ xsd_string(sK2)
| ~ cA(sK0)
| ~ cA(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1)
| xsd_integer(sK2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f57,plain,
( spl3_2
| spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f40,f45,f54,f49]) ).
fof(f40,plain,
( xsd_integer(sK2)
| cA(sK0)
| cB(sK0) ),
inference(subsumption_resolution,[],[f39,f27]) ).
fof(f39,plain,
( cA(sK0)
| cB(sK0)
| xsd_integer(sK2)
| ~ xsd_string(sK2) ),
inference(subsumption_resolution,[],[f38,f15]) ).
fof(f38,plain,
( cowlNothing(sK1)
| xsd_integer(sK2)
| cB(sK0)
| cA(sK0)
| ~ xsd_string(sK2) ),
inference(subsumption_resolution,[],[f30,f16]) ).
fof(f30,plain,
( xsd_integer(sK2)
| cA(sK0)
| ~ cowlThing(sK1)
| cB(sK0)
| cowlNothing(sK1)
| ~ xsd_string(sK2) ),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f26,plain,
( cowlNothing(sK1)
| ~ cowlThing(sK1)
| cA(sK0)
| cA(sK0)
| cB(sK0)
| ~ xsd_string(sK2)
| xsd_integer(sK2)
| cB(sK0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f52,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f43,f49,f45]) ).
fof(f43,plain,
( ~ cB(sK0)
| ~ xsd_integer(sK2) ),
inference(subsumption_resolution,[],[f42,f28]) ).
fof(f42,plain,
( xsd_string(sK2)
| ~ xsd_integer(sK2)
| ~ cB(sK0) ),
inference(subsumption_resolution,[],[f41,f15]) ).
fof(f41,plain,
( xsd_string(sK2)
| ~ cB(sK0)
| ~ xsd_integer(sK2)
| cowlNothing(sK1) ),
inference(subsumption_resolution,[],[f29,f16]) ).
fof(f29,plain,
( ~ cowlThing(sK1)
| ~ cB(sK0)
| cowlNothing(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2) ),
inference(duplicate_literal_removal,[],[f21]) ).
fof(f21,plain,
( ~ xsd_integer(sK2)
| ~ cowlThing(sK1)
| cowlNothing(sK1)
| xsd_string(sK2)
| ~ cB(sK0)
| ~ cB(sK0) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS168+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % 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 : n014.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 : Tue Aug 30 00:40:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.22/0.50 % (314)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)
% 0.22/0.51 % (314)First to succeed.
% 0.22/0.51 % (306)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)
% 0.22/0.51 % (314)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (314)------------------------------
% 0.22/0.51 % (314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (314)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (314)Memory used [KB]: 5884
% 0.22/0.51 % (314)Time elapsed: 0.086 s
% 0.22/0.51 % (314)Instructions burned: 2 (million)
% 0.22/0.51 % (314)------------------------------
% 0.22/0.51 % (314)------------------------------
% 0.22/0.51 % (32752)Success in time 0.151 s
%------------------------------------------------------------------------------