TSTP Solution File: KRS169+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS169+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 : n005.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 17:29:55 EDT 2022
% Result : Theorem 0.36s 0.64s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 10 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 222 ( 96 ~; 91 |; 22 &)
% ( 9 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 31 ( 23 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f53,f58,f61]) ).
fof(f61,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f59,f52]) ).
fof(f52,plain,
( xsd_integer(sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl2_3
<=> xsd_integer(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f59,plain,
( ~ xsd_integer(sK1)
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f42,f26]) ).
fof(f26,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,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(f42,plain,
( xsd_string(sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl2_2
<=> xsd_string(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f58,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f54,f28]) ).
fof(f28,plain,
rhasLeader(iX,iY),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
rhasLeader(iX,iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f54,plain,
( ~ rhasLeader(iX,iY)
| spl2_1 ),
inference(unit_resulting_resolution,[],[f38,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ rhasLeader(X1,X0)
| rhasHead(X1,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( rhasHead(X1,X0)
| ~ rhasLeader(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( rhasLeader(X1,X0)
=> rhasHead(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( rhasLeader(X1,X0)
<=> rhasHead(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f38,plain,
( ~ rhasHead(iX,iY)
| spl2_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl2_1
<=> rhasHead(iX,iY) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f53,plain,
( spl2_3
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f48,f36,f50]) ).
fof(f48,plain,
( ~ rhasHead(iX,iY)
| xsd_integer(sK1) ),
inference(subsumption_resolution,[],[f47,f27]) ).
fof(f27,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f47,plain,
( ~ xsd_string(sK1)
| xsd_integer(sK1)
| ~ rhasHead(iX,iY) ),
inference(subsumption_resolution,[],[f46,f25]) ).
fof(f25,plain,
cowlThing(iY),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
cowlThing(iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f46,plain,
( xsd_integer(sK1)
| ~ rhasHead(iX,iY)
| ~ xsd_string(sK1)
| ~ cowlThing(iY) ),
inference(subsumption_resolution,[],[f45,f24]) ).
fof(f24,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(f45,plain,
( xsd_integer(sK1)
| ~ rhasHead(iX,iY)
| ~ xsd_string(sK1)
| ~ cowlThing(sK0)
| ~ cowlThing(iY) ),
inference(subsumption_resolution,[],[f44,f23]) ).
fof(f23,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f44,plain,
( cowlNothing(sK0)
| ~ cowlThing(iY)
| ~ cowlThing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rhasHead(iX,iY) ),
inference(subsumption_resolution,[],[f22,f29]) ).
fof(f29,plain,
cowlThing(iX),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
cowlThing(iX),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f22,plain,
( ~ cowlThing(iX)
| ~ xsd_string(sK1)
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ~ cowlThing(iX)
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f17,f16]) ).
fof(f16,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
=> ( ~ cowlThing(sK0)
| cowlNothing(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
=> ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ~ cowlThing(iX)
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
( ~ cowlThing(iX)
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ~ cowlThing(iX)
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
~ ( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iX)
& rhasHead(iX,iY)
& ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& cowlThing(iY) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& rhasHead(iX,iY)
& cowlThing(iY)
& cowlThing(iX) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) )
& rhasHead(iX,iY)
& cowlThing(iY)
& cowlThing(iX) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f43,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f34,f40,f36]) ).
fof(f34,plain,
( xsd_string(sK1)
| ~ rhasHead(iX,iY) ),
inference(subsumption_resolution,[],[f33,f27]) ).
fof(f33,plain,
( ~ xsd_integer(sK1)
| ~ rhasHead(iX,iY)
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f32,f29]) ).
fof(f32,plain,
( xsd_string(sK1)
| ~ cowlThing(iX)
| ~ xsd_integer(sK1)
| ~ rhasHead(iX,iY) ),
inference(subsumption_resolution,[],[f31,f24]) ).
fof(f31,plain,
( ~ cowlThing(sK0)
| ~ cowlThing(iX)
| ~ xsd_integer(sK1)
| ~ rhasHead(iX,iY)
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f30,f23]) ).
fof(f30,plain,
( ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY) ),
inference(subsumption_resolution,[],[f21,f25]) ).
fof(f21,plain,
( ~ cowlThing(iY)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| xsd_string(sK1)
| cowlNothing(sK0) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS169+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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 00:39:48 EDT 2022
% 0.13/0.34 % CPUTime :
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% 0.36/0.63 % (25343)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 0.36/0.64 % (25336)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)
% 0.36/0.64 % (25343)First to succeed.
% 0.36/0.64 % (25343)Refutation found. Thanks to Tanya!
% 0.36/0.64 % SZS status Theorem for theBenchmark
% 0.36/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.64 % (25343)------------------------------
% 0.36/0.64 % (25343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.36/0.64 % (25343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.36/0.64 % (25343)Termination reason: Refutation
% 0.36/0.64
% 0.36/0.64 % (25343)Memory used [KB]: 5884
% 0.36/0.64 % (25343)Time elapsed: 0.077 s
% 0.36/0.64 % (25343)Instructions burned: 2 (million)
% 0.36/0.64 % (25343)------------------------------
% 0.36/0.64 % (25343)------------------------------
% 0.36/0.64 % (25135)Success in time 0.294 s
%------------------------------------------------------------------------------