TSTP Solution File: KRS134+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS134+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 : n009.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 17:30:54 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 3 unt; 0 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 223 ( 87 ~; 86 |; 30 &)
% ( 8 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 43 ( 25 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f43,f51,f59,f63,f66]) ).
fof(f66,plain,
( ~ spl4_2
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f65,plain,
( $false
| ~ spl4_2
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f64,f38]) ).
fof(f38,plain,
( xsd_string(sK0)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl4_2
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f64,plain,
( ~ xsd_string(sK0)
| ~ spl4_4 ),
inference(resolution,[],[f58,f26]) ).
fof(f26,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,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(f58,plain,
( xsd_integer(sK0)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl4_4
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f63,plain,
( ~ spl4_1
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f62,plain,
( $false
| ~ spl4_1
| spl4_3 ),
inference(subsumption_resolution,[],[f61,f50]) ).
fof(f50,plain,
( ~ cA(sK2)
| spl4_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl4_3
<=> cA(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f61,plain,
( cA(sK2)
| ~ spl4_1 ),
inference(resolution,[],[f23,f34]) ).
fof(f34,plain,
( rprop(sK1,sK2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl4_1
<=> rprop(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f23,plain,
! [X0,X1] :
( ~ rprop(X0,X1)
| cA(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( ~ rprop(X0,X1)
| cA(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( rprop(X0,X1)
=> cA(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f59,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f54,f56,f48]) ).
fof(f54,plain,
( xsd_integer(sK0)
| ~ cA(sK2) ),
inference(subsumption_resolution,[],[f53,f27]) ).
fof(f27,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f53,plain,
( ~ cA(sK2)
| ~ xsd_string(sK0)
| xsd_integer(sK0) ),
inference(subsumption_resolution,[],[f52,f25]) ).
fof(f25,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(f52,plain,
( ~ cA(sK2)
| ~ cowlThing(sK3)
| xsd_integer(sK0)
| ~ xsd_string(sK0) ),
inference(subsumption_resolution,[],[f20,f24]) ).
fof(f24,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
( xsd_integer(sK0)
| ~ cA(sK2)
| cowlNothing(sK3)
| ~ cowlThing(sK3)
| ~ xsd_string(sK0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( ( ~ xsd_string(sK0)
| xsd_integer(sK0) )
& ( xsd_string(sK0)
| ~ xsd_integer(sK0) ) )
| ( cowlThing(sK1)
& rprop(sK1,sK2)
& ~ cA(sK2) )
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f10,f14,f13,f12,f11]) ).
fof(f11,plain,
( ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
=> ( ( ~ xsd_string(sK0)
| xsd_integer(sK0) )
& ( xsd_string(sK0)
| ~ xsd_integer(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X1] :
( cowlThing(X1)
& ? [X2] :
( rprop(X1,X2)
& ~ cA(X2) ) )
=> ( cowlThing(sK1)
& ? [X2] :
( rprop(sK1,X2)
& ~ cA(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X2] :
( rprop(sK1,X2)
& ~ cA(X2) )
=> ( rprop(sK1,sK2)
& ~ cA(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X3] :
( cowlNothing(X3)
| ~ cowlThing(X3) )
=> ( cowlNothing(sK3)
| ~ cowlThing(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
| ? [X1] :
( cowlThing(X1)
& ? [X2] :
( rprop(X1,X2)
& ~ cA(X2) ) )
| ? [X3] :
( cowlNothing(X3)
| ~ cowlThing(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
| ? [X1] :
( cowlThing(X1)
& ? [X2] :
( rprop(X1,X2)
& ~ cA(X2) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ? [X3] :
( ~ xsd_integer(X3)
<~> xsd_string(X3) )
| ? [X1] :
( cowlThing(X1)
& ? [X2] :
( rprop(X1,X2)
& ~ cA(X2) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ( ! [X3] :
( ~ xsd_integer(X3)
<=> xsd_string(X3) )
& ! [X1] :
( cowlThing(X1)
=> ! [X2] :
( rprop(X1,X2)
=> cA(X2) ) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ( ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) )
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
( ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) )
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f51,plain,
( spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f46,f48,f36]) ).
fof(f46,plain,
( ~ cA(sK2)
| xsd_string(sK0) ),
inference(subsumption_resolution,[],[f45,f27]) ).
fof(f45,plain,
( ~ xsd_integer(sK0)
| ~ cA(sK2)
| xsd_string(sK0) ),
inference(subsumption_resolution,[],[f44,f25]) ).
fof(f44,plain,
( ~ cowlThing(sK3)
| xsd_string(sK0)
| ~ cA(sK2)
| ~ xsd_integer(sK0) ),
inference(subsumption_resolution,[],[f17,f24]) ).
fof(f17,plain,
( cowlNothing(sK3)
| ~ cowlThing(sK3)
| ~ cA(sK2)
| ~ xsd_integer(sK0)
| xsd_string(sK0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f43,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f42,f36,f32]) ).
fof(f42,plain,
( ~ xsd_string(sK0)
| rprop(sK1,sK2) ),
inference(subsumption_resolution,[],[f41,f26]) ).
fof(f41,plain,
( xsd_integer(sK0)
| ~ xsd_string(sK0)
| rprop(sK1,sK2) ),
inference(subsumption_resolution,[],[f40,f25]) ).
fof(f40,plain,
( ~ cowlThing(sK3)
| rprop(sK1,sK2)
| xsd_integer(sK0)
| ~ xsd_string(sK0) ),
inference(subsumption_resolution,[],[f21,f24]) ).
fof(f21,plain,
( rprop(sK1,sK2)
| ~ xsd_string(sK0)
| cowlNothing(sK3)
| ~ cowlThing(sK3)
| xsd_integer(sK0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f30,f36,f32]) ).
fof(f30,plain,
( xsd_string(sK0)
| rprop(sK1,sK2) ),
inference(subsumption_resolution,[],[f29,f27]) ).
fof(f29,plain,
( ~ xsd_integer(sK0)
| rprop(sK1,sK2)
| xsd_string(sK0) ),
inference(subsumption_resolution,[],[f28,f25]) ).
fof(f28,plain,
( rprop(sK1,sK2)
| ~ cowlThing(sK3)
| ~ xsd_integer(sK0)
| xsd_string(sK0) ),
inference(subsumption_resolution,[],[f18,f24]) ).
fof(f18,plain,
( xsd_string(sK0)
| cowlNothing(sK3)
| ~ xsd_integer(sK0)
| ~ cowlThing(sK3)
| rprop(sK1,sK2) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS134+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 : n009.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 00:31:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (22800)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.48 % (22801)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49 % (22810)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.49 % (22792)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.49 % (22800)First to succeed.
% 0.19/0.49 % (22800)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (22800)------------------------------
% 0.19/0.49 % (22800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (22800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (22800)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (22800)Memory used [KB]: 5373
% 0.19/0.49 % (22800)Time elapsed: 0.099 s
% 0.19/0.49 % (22800)Instructions burned: 2 (million)
% 0.19/0.49 % (22800)------------------------------
% 0.19/0.49 % (22800)------------------------------
% 0.19/0.49 % (22786)Success in time 0.142 s
%------------------------------------------------------------------------------