TSTP Solution File: KRS137+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS137+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 : n021.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 17:29:48 EDT 2022
% Result : Theorem 1.18s 0.67s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 64 ( 18 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 243 ( 103 ~; 100 |; 25 &)
% ( 12 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 23 ( 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f87,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f57,f67,f69,f78,f80,f84,f86]) ).
fof(f86,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f51,f22]) ).
fof(f22,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f51,plain,
( cowlNothing(sK1)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl2_5
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f84,plain,
( spl2_6
| spl2_7 ),
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f83,plain,
( $false
| spl2_6
| spl2_7 ),
inference(subsumption_resolution,[],[f82,f66]) ).
fof(f66,plain,
( ~ xsd_integer(sK0)
| spl2_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl2_7
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f82,plain,
( xsd_integer(sK0)
| spl2_6 ),
inference(unit_resulting_resolution,[],[f55,f19]) ).
fof(f19,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,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(f55,plain,
( ~ xsd_string(sK0)
| spl2_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl2_6
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f80,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| spl2_3 ),
inference(subsumption_resolution,[],[f43,f23]) ).
fof(f23,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f43,plain,
( ~ cowlThing(sK1)
| spl2_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl2_3
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f78,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f71,f35]) ).
fof(f35,plain,
( ~ cAutomobile(icar)
| spl2_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl2_1
<=> cAutomobile(icar) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f71,plain,
cAutomobile(icar),
inference(unit_resulting_resolution,[],[f21,f25]) ).
fof(f25,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ( cAutomobile(X0)
| ~ cCar(X0) )
& ( cCar(X0)
| ~ cAutomobile(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cAutomobile(X0)
<=> cCar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f21,plain,
cCar(icar),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
cCar(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f69,plain,
spl2_2,
inference(avatar_split_clause,[],[f68,f37]) ).
fof(f37,plain,
( spl2_2
<=> cCar(iauto) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f68,plain,
cCar(iauto),
inference(unit_resulting_resolution,[],[f20,f24]) ).
fof(f24,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
cAutomobile(iauto),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f67,plain,
( ~ spl2_7
| ~ spl2_2
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f62,f33,f37,f64]) ).
fof(f62,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ xsd_integer(sK0) ),
inference(subsumption_resolution,[],[f61,f18]) ).
fof(f18,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f61,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| xsd_string(sK0)
| ~ xsd_integer(sK0) ),
inference(subsumption_resolution,[],[f60,f23]) ).
fof(f60,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK0)
| xsd_string(sK0) ),
inference(subsumption_resolution,[],[f59,f23]) ).
fof(f59,plain,
( ~ xsd_integer(sK0)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cAutomobile(icar)
| xsd_string(sK0)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f58,f29]) ).
fof(f29,plain,
cowlThing(icar),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
cowlThing(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f58,plain,
( ~ cowlThing(icar)
| ~ cowlThing(iauto)
| xsd_string(sK0)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK0)
| ~ cCar(iauto)
| ~ cAutomobile(icar) ),
inference(subsumption_resolution,[],[f27,f22]) ).
fof(f27,plain,
( ~ xsd_integer(sK0)
| ~ cAutomobile(icar)
| cowlNothing(sK1)
| xsd_string(sK0)
| ~ cowlThing(icar)
| ~ cCar(iauto)
| ~ cowlThing(sK1)
| ~ cowlThing(iauto) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) )
| ~ cowlThing(icar)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(sK1)
| cowlNothing(sK1) ),
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,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ~ cowlThing(icar)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ~ cowlThing(icar)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ( cowlThing(icar)
& cCar(iauto)
& cowlThing(iauto)
& ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& cAutomobile(icar)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ( ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& cAutomobile(icar)
& cowlThing(iauto)
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& cowlThing(icar)
& cCar(iauto) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
( ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& cAutomobile(icar)
& cowlThing(iauto)
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& cowlThing(icar)
& cCar(iauto) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f57,plain,
spl2_4,
inference(avatar_split_clause,[],[f26,f45]) ).
fof(f45,plain,
( spl2_4
<=> cowlThing(iauto) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f26,plain,
cowlThing(iauto),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
cowlThing(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
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,
( ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(iauto)
| ~ cowlThing(sK1)
| ~ cCar(iauto)
| ~ cAutomobile(icar) ),
inference(subsumption_resolution,[],[f30,f18]) ).
fof(f30,plain,
( xsd_integer(sK0)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cowlThing(sK1)
| ~ xsd_string(sK0)
| cowlNothing(sK1) ),
inference(subsumption_resolution,[],[f28,f29]) ).
fof(f28,plain,
( ~ cAutomobile(icar)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| cowlNothing(sK1)
| ~ cowlThing(icar)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS137+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.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 00:30:55 EDT 2022
% 0.13/0.34 % CPUTime :
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% 1.18/0.66 % (32641)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.18/0.66 % (32629)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.18/0.67 % (32629)Refutation not found, incomplete strategy% (32629)------------------------------
% 1.18/0.67 % (32629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.67 % (32629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.67 % (32629)Termination reason: Refutation not found, incomplete strategy
% 1.18/0.67
% 1.18/0.67 % (32629)Memory used [KB]: 5884
% 1.18/0.67 % (32629)Time elapsed: 0.098 s
% 1.18/0.67 % (32629)Instructions burned: 1 (million)
% 1.18/0.67 % (32629)------------------------------
% 1.18/0.67 % (32629)------------------------------
% 1.18/0.67 % (32641)First to succeed.
% 1.18/0.67 % (32656)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.18/0.67 % (32632)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.18/0.67 % (32641)Refutation found. Thanks to Tanya!
% 1.18/0.67 % SZS status Theorem for theBenchmark
% 1.18/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.18/0.67 % (32641)------------------------------
% 1.18/0.67 % (32641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.67 % (32641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.67 % (32641)Termination reason: Refutation
% 1.18/0.67
% 1.18/0.67 % (32641)Memory used [KB]: 6012
% 1.18/0.67 % (32641)Time elapsed: 0.099 s
% 1.18/0.67 % (32641)Instructions burned: 2 (million)
% 1.18/0.67 % (32641)------------------------------
% 1.18/0.67 % (32641)------------------------------
% 1.18/0.67 % (32447)Success in time 0.321 s
%------------------------------------------------------------------------------