TSTP Solution File: KRS166+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n024.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 1.30s 0.53s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 7 unt; 0 def)
% Number of atoms : 185 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 222 ( 85 ~; 102 |; 21 &)
% ( 7 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 22 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,plain,
$false,
inference(subsumption_resolution,[],[f48,f45]) ).
fof(f45,plain,
~ cAutomobile(sK1),
inference(subsumption_resolution,[],[f39,f44]) ).
fof(f44,plain,
~ xsd_integer(sK2),
inference(subsumption_resolution,[],[f43,f20]) ).
fof(f20,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,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(f43,plain,
( xsd_string(sK2)
| ~ xsd_integer(sK2) ),
inference(subsumption_resolution,[],[f42,f31]) ).
fof(f31,plain,
( cCar(sK1)
| xsd_string(sK2) ),
inference(subsumption_resolution,[],[f30,f19]) ).
fof(f19,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
( cCar(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2) ),
inference(subsumption_resolution,[],[f29,f18]) ).
fof(f18,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cAutomobile(X0)
=> cCar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f29,plain,
( cAutomobile(sK1)
| xsd_string(sK2)
| cCar(sK1)
| ~ xsd_integer(sK2) ),
inference(subsumption_resolution,[],[f28,f27]) ).
fof(f27,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(f28,plain,
( cCar(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2)
| ~ cowlThing(sK0)
| cAutomobile(sK1) ),
inference(subsumption_resolution,[],[f22,f26]) ).
fof(f26,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
( cowlNothing(sK0)
| cAutomobile(sK1)
| cCar(sK1)
| ~ cowlThing(sK0)
| ~ xsd_integer(sK2)
| xsd_string(sK2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( ~ cAutomobile(sK1)
| ~ cCar(sK1) )
& ( cAutomobile(sK1)
| cCar(sK1) ) )
| ( ( ~ xsd_string(sK2)
| xsd_integer(sK2) )
& ( xsd_string(sK2)
| ~ xsd_integer(sK2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f13,f16,f15,f14]) ).
fof(f14,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
=> ( ~ cowlThing(sK0)
| cowlNothing(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X1] :
( ( ~ cAutomobile(X1)
| ~ cCar(X1) )
& ( cAutomobile(X1)
| cCar(X1) ) )
=> ( ( ~ cAutomobile(sK1)
| ~ cCar(sK1) )
& ( cAutomobile(sK1)
| cCar(sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X2] :
( ( ~ xsd_string(X2)
| xsd_integer(X2) )
& ( xsd_string(X2)
| ~ xsd_integer(X2) ) )
=> ( ( ~ xsd_string(sK2)
| xsd_integer(sK2) )
& ( xsd_string(sK2)
| ~ xsd_integer(sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( ~ cAutomobile(X1)
| ~ cCar(X1) )
& ( cAutomobile(X1)
| cCar(X1) ) )
| ? [X2] :
( ( ~ xsd_string(X2)
| xsd_integer(X2) )
& ( xsd_string(X2)
| ~ xsd_integer(X2) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
( ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X0] :
( ( ~ cAutomobile(X0)
| ~ cCar(X0) )
& ( cAutomobile(X0)
| cCar(X0) ) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X0] :
( cCar(X0)
<~> cAutomobile(X0) )
| ? [X1] :
( ~ xsd_integer(X1)
<~> xsd_string(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ! [X0] :
( cAutomobile(X0)
<=> cCar(X0) )
& ! [X1] :
( ~ xsd_integer(X1)
<=> xsd_string(X1) )
& ! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ! [X0] :
( cAutomobile(X0)
<=> cCar(X0) )
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ! [X0] :
( cAutomobile(X0)
<=> cCar(X0) )
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f42,plain,
( ~ cCar(sK1)
| xsd_string(sK2)
| ~ xsd_integer(sK2) ),
inference(subsumption_resolution,[],[f41,f21]) ).
fof(f21,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/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f41,plain,
( xsd_string(sK2)
| ~ cAutomobile(sK1)
| ~ xsd_integer(sK2)
| ~ cCar(sK1) ),
inference(subsumption_resolution,[],[f40,f26]) ).
fof(f40,plain,
( cowlNothing(sK0)
| ~ xsd_integer(sK2)
| ~ cCar(sK1)
| ~ cAutomobile(sK1)
| xsd_string(sK2) ),
inference(subsumption_resolution,[],[f24,f27]) ).
fof(f24,plain,
( ~ xsd_integer(sK2)
| ~ cowlThing(sK0)
| ~ cAutomobile(sK1)
| ~ cCar(sK1)
| xsd_string(sK2)
| cowlNothing(sK0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f39,plain,
( ~ cAutomobile(sK1)
| xsd_integer(sK2) ),
inference(subsumption_resolution,[],[f38,f35]) ).
fof(f35,plain,
( xsd_integer(sK2)
| cCar(sK1) ),
inference(subsumption_resolution,[],[f34,f18]) ).
fof(f34,plain,
( cAutomobile(sK1)
| xsd_integer(sK2)
| cCar(sK1) ),
inference(subsumption_resolution,[],[f33,f19]) ).
fof(f33,plain,
( ~ xsd_string(sK2)
| cCar(sK1)
| xsd_integer(sK2)
| cAutomobile(sK1) ),
inference(subsumption_resolution,[],[f32,f27]) ).
fof(f32,plain,
( ~ cowlThing(sK0)
| ~ xsd_string(sK2)
| cAutomobile(sK1)
| cCar(sK1)
| xsd_integer(sK2) ),
inference(subsumption_resolution,[],[f23,f26]) ).
fof(f23,plain,
( cowlNothing(sK0)
| ~ xsd_string(sK2)
| cAutomobile(sK1)
| cCar(sK1)
| ~ cowlThing(sK0)
| xsd_integer(sK2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
( ~ cAutomobile(sK1)
| ~ cCar(sK1)
| xsd_integer(sK2) ),
inference(subsumption_resolution,[],[f37,f19]) ).
fof(f37,plain,
( ~ cCar(sK1)
| ~ cAutomobile(sK1)
| ~ xsd_string(sK2)
| xsd_integer(sK2) ),
inference(subsumption_resolution,[],[f36,f26]) ).
fof(f36,plain,
( ~ xsd_string(sK2)
| ~ cCar(sK1)
| cowlNothing(sK0)
| xsd_integer(sK2)
| ~ cAutomobile(sK1) ),
inference(subsumption_resolution,[],[f25,f27]) ).
fof(f25,plain,
( ~ cAutomobile(sK1)
| ~ cowlThing(sK0)
| ~ cCar(sK1)
| cowlNothing(sK0)
| xsd_integer(sK2)
| ~ xsd_string(sK2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f48,plain,
cAutomobile(sK1),
inference(resolution,[],[f46,f21]) ).
fof(f46,plain,
cCar(sK1),
inference(subsumption_resolution,[],[f35,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14 % 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 : n024.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 00:42:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (28658)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52 % (28659)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 (2999ds/51Mi)
% 0.20/0.52 % (28647)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.30/0.53 % (28658)First to succeed.
% 1.30/0.53 % (28658)Refutation found. Thanks to Tanya!
% 1.30/0.53 % SZS status Theorem for theBenchmark
% 1.30/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.53 % (28658)------------------------------
% 1.30/0.53 % (28658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (28658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (28658)Termination reason: Refutation
% 1.30/0.53
% 1.30/0.53 % (28658)Memory used [KB]: 1407
% 1.30/0.53 % (28658)Time elapsed: 0.117 s
% 1.30/0.53 % (28658)Instructions burned: 2 (million)
% 1.30/0.53 % (28658)------------------------------
% 1.30/0.53 % (28658)------------------------------
% 1.30/0.53 % (28645)Success in time 0.171 s
%------------------------------------------------------------------------------