TSTP Solution File: KRS164+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS164+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 : n003.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 17:30:59 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 58 ( 14 unt; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 235 ( 98 ~; 98 |; 25 &)
% ( 11 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 23 ( 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f62,f64,f66,f68,f70,f72]) ).
fof(f72,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f71,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f35,f22]) ).
fof(f22,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f35,plain,
( cowlNothing(sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl2_1
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f70,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| spl2_5 ),
inference(subsumption_resolution,[],[f51,f23]) ).
fof(f23,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f51,plain,
( ~ cowlThing(sK1)
| spl2_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl2_5
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f68,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| spl2_3 ),
inference(subsumption_resolution,[],[f43,f23]) ).
fof(f43,plain,
( ~ cowlThing(iauto)
| spl2_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl2_3
<=> cowlThing(iauto) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f66,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f65,plain,
( $false
| spl2_6 ),
inference(unit_resulting_resolution,[],[f55,f20,f25]) ).
fof(f25,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ( cCar(X0)
| ~ cAutomobile(X0) )
& ( cAutomobile(X0)
| ~ cCar(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cCar(X0)
<=> cAutomobile(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f20,plain,
cAutomobile(iauto),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f55,plain,
( ~ cCar(iauto)
| spl2_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl2_6
<=> cCar(iauto) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f64,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f63,plain,
( $false
| spl2_2 ),
inference(unit_resulting_resolution,[],[f39,f21,f24]) ).
fof(f24,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
cCar(icar),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
cCar(icar),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f39,plain,
( ~ cAutomobile(icar)
| spl2_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl2_2
<=> cAutomobile(icar) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f62,plain,
( ~ spl2_6
| ~ spl2_2
| spl2_4 ),
inference(avatar_split_clause,[],[f61,f45,f37,f53]) ).
fof(f45,plain,
( spl2_4
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f61,plain,
( xsd_integer(sK0)
| ~ cAutomobile(icar)
| ~ cCar(iauto) ),
inference(subsumption_resolution,[],[f60,f18]) ).
fof(f18,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,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(f60,plain,
( ~ xsd_string(sK0)
| ~ cCar(iauto)
| ~ cAutomobile(icar)
| xsd_integer(sK0) ),
inference(subsumption_resolution,[],[f59,f22]) ).
fof(f59,plain,
( ~ cCar(iauto)
| ~ cAutomobile(icar)
| xsd_integer(sK0)
| cowlNothing(sK1)
| ~ xsd_string(sK0) ),
inference(subsumption_resolution,[],[f58,f23]) ).
fof(f58,plain,
( ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| xsd_integer(sK0)
| ~ cCar(iauto)
| cowlNothing(sK1)
| ~ xsd_string(sK0) ),
inference(subsumption_resolution,[],[f57,f28]) ).
fof(f28,plain,
cowlThing(icar),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
cowlThing(icar),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f57,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ xsd_string(sK0)
| ~ cowlThing(iauto)
| xsd_integer(sK0)
| ~ cCar(iauto)
| cowlNothing(sK1) ),
inference(subsumption_resolution,[],[f27,f23]) ).
fof(f27,plain,
( ~ xsd_string(sK0)
| ~ cowlThing(sK1)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cowlThing(icar)
| xsd_integer(sK0)
| ~ cCar(iauto)
| cowlNothing(sK1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ~ cCar(iauto)
| ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) )
| ~ cowlThing(sK1)
| cowlNothing(sK1)
| ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f16,f15]) ).
fof(f15,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(f16,plain,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
=> ( ~ cowlThing(sK1)
| cowlNothing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ~ cCar(iauto)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ~ cCar(iauto)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& cowlThing(icar)
& cCar(iauto)
& cowlThing(iauto)
& cAutomobile(icar)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cCar(iauto)
& cowlThing(iauto)
& cowlThing(icar)
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& cAutomobile(icar) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cCar(iauto)
& cowlThing(iauto)
& cowlThing(icar)
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& cAutomobile(icar) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f56,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f31,f53,f49,f45,f41,f37,f33]) ).
fof(f31,plain,
( ~ cCar(iauto)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK0)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| cowlNothing(sK1) ),
inference(subsumption_resolution,[],[f30,f19]) ).
fof(f19,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
( cowlNothing(sK1)
| ~ cCar(iauto)
| ~ cAutomobile(icar)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| ~ cowlThing(iauto)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f26,f28]) ).
fof(f26,plain,
( cowlNothing(sK1)
| ~ cAutomobile(icar)
| ~ cowlThing(sK1)
| ~ cCar(iauto)
| xsd_string(sK0)
| ~ xsd_integer(sK0)
| ~ cowlThing(iauto)
| ~ cowlThing(icar) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS164+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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.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 00:36:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (25914)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.49 % (25914)First to succeed.
% 0.19/0.50 % (25939)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.50 % (25927)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 (3000ds/68Mi)
% 0.19/0.50 % (25914)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (25914)------------------------------
% 0.19/0.50 % (25914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (25914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (25914)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (25914)Memory used [KB]: 5373
% 0.19/0.50 % (25914)Time elapsed: 0.106 s
% 0.19/0.50 % (25914)Instructions burned: 2 (million)
% 0.19/0.50 % (25914)------------------------------
% 0.19/0.50 % (25914)------------------------------
% 0.19/0.50 % (25910)Success in time 0.15 s
%------------------------------------------------------------------------------