TSTP Solution File: KRS166+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS166+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 : n023.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 17:31:00 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 5 unt; 0 def)
% Number of atoms : 205 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 234 ( 89 ~; 104 |; 21 &)
% ( 13 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 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 : 34 ( 22 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f53,f54,f55,f57,f60,f65,f66,f68,f71]) ).
fof(f71,plain,
( ~ spl3_1
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| ~ spl3_1
| spl3_4 ),
inference(subsumption_resolution,[],[f69,f43]) ).
fof(f43,plain,
( ~ cAutomobile(sK2)
| spl3_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl3_4
<=> cAutomobile(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f69,plain,
( cAutomobile(sK2)
| ~ spl3_1 ),
inference(resolution,[],[f27,f30]) ).
fof(f30,plain,
( cCar(sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl3_1
<=> cCar(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f27,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( cCar(X0)
=> cAutomobile(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f68,plain,
( ~ spl3_6
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f67,f37,f49]) ).
fof(f49,plain,
( spl3_6
<=> xsd_string(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f37,plain,
( spl3_3
<=> xsd_integer(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f67,plain,
( ~ xsd_string(sK1)
| ~ spl3_3 ),
inference(resolution,[],[f39,f25]) ).
fof(f25,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,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(f39,plain,
( xsd_integer(sK1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f66,plain,
( spl3_1
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f61,f41,f29]) ).
fof(f61,plain,
( cCar(sK2)
| ~ spl3_4 ),
inference(resolution,[],[f42,f24]) ).
fof(f24,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cAutomobile(X0)
=> cCar(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f42,plain,
( cAutomobile(sK2)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f65,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f35,f23]) ).
fof(f23,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f35,plain,
( cowlNothing(sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl3_2
<=> cowlNothing(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f60,plain,
( spl3_3
| spl3_6 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl3_3
| spl3_6 ),
inference(subsumption_resolution,[],[f58,f38]) ).
fof(f38,plain,
( ~ xsd_integer(sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f58,plain,
( xsd_integer(sK1)
| spl3_6 ),
inference(resolution,[],[f26,f51]) ).
fof(f51,plain,
( ~ xsd_string(sK1)
| spl3_6 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f26,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f57,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| spl3_5 ),
inference(resolution,[],[f22,f47]) ).
fof(f47,plain,
( ~ cowlThing(sK0)
| spl3_5 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl3_5
<=> cowlThing(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f22,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f55,plain,
( spl3_2
| spl3_6
| spl3_1
| ~ spl3_5
| ~ spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f18,f41,f37,f45,f29,f49,f33]) ).
fof(f18,plain,
( cAutomobile(sK2)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| cCar(sK2)
| xsd_string(sK1)
| cowlNothing(sK0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( cowlNothing(sK0)
| ~ cowlThing(sK0)
| ( ( ~ xsd_string(sK1)
| xsd_integer(sK1) )
& ( xsd_string(sK1)
| ~ xsd_integer(sK1) ) )
| ( ( ~ cCar(sK2)
| ~ cAutomobile(sK2) )
& ( cCar(sK2)
| cAutomobile(sK2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f15,f14,f13]) ).
fof(f13,plain,
( ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
=> ( cowlNothing(sK0)
| ~ cowlThing(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
=> ( ( ~ xsd_string(sK1)
| xsd_integer(sK1) )
& ( xsd_string(sK1)
| ~ xsd_integer(sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X2] :
( ( ~ cCar(X2)
| ~ cAutomobile(X2) )
& ( cCar(X2)
| cAutomobile(X2) ) )
=> ( ( ~ cCar(sK2)
| ~ cAutomobile(sK2) )
& ( cCar(sK2)
| cAutomobile(sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
| ? [X2] :
( ( ~ cCar(X2)
| ~ cAutomobile(X2) )
& ( cCar(X2)
| cAutomobile(X2) ) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
| ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
| ? [X2] :
( ( ~ cCar(X2)
| ~ cAutomobile(X2) )
& ( cCar(X2)
| cAutomobile(X2) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
| ? [X0] :
( ~ xsd_integer(X0)
<~> xsd_string(X0) )
| ? [X2] :
( cAutomobile(X2)
<~> cCar(X2) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ! [X2] :
( cAutomobile(X2)
<=> cCar(X2) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& ! [X0] :
( cAutomobile(X0)
<=> cCar(X0) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& ! [X0] :
( cAutomobile(X0)
<=> cCar(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f54,plain,
( ~ spl3_5
| spl3_6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f19,f33,f41,f37,f29,f49,f45]) ).
fof(f19,plain,
( cowlNothing(sK0)
| ~ cAutomobile(sK2)
| ~ xsd_integer(sK1)
| ~ cCar(sK2)
| xsd_string(sK1)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f53,plain,
( spl3_3
| spl3_1
| spl3_4
| ~ spl3_6
| spl3_2
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f20,f45,f33,f49,f41,f29,f37]) ).
fof(f20,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_string(sK1)
| cAutomobile(sK2)
| cCar(sK2)
| xsd_integer(sK1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f52,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f21,f49,f45,f41,f37,f33,f29]) ).
fof(f21,plain,
( ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cAutomobile(sK2)
| xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cCar(sK2) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % 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 : n023.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 01:01:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (22219)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (22233)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 (2999ds/498Mi)
% 0.21/0.51 % (22218)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (22218)First to succeed.
% 0.21/0.52 % (22218)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (22218)------------------------------
% 0.21/0.52 % (22218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (22218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (22218)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (22218)Memory used [KB]: 5373
% 0.21/0.52 % (22218)Time elapsed: 0.099 s
% 0.21/0.52 % (22218)Instructions burned: 2 (million)
% 0.21/0.52 % (22218)------------------------------
% 0.21/0.52 % (22218)------------------------------
% 0.21/0.52 % (22210)Success in time 0.161 s
%------------------------------------------------------------------------------