TSTP Solution File: KRS171+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS171+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 : n008.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 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 59 ( 5 unt; 0 def)
% Number of atoms : 202 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 233 ( 90 ~; 102 |; 21 &)
% ( 13 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 49 ( 33 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f54,f55,f56,f58,f63,f69,f70,f73,f76]) ).
fof(f76,plain,
( ~ spl4_5
| spl4_4 ),
inference(avatar_split_clause,[],[f75,f42,f46]) ).
fof(f46,plain,
( spl4_5
<=> rhasHead(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f42,plain,
( spl4_4
<=> rhasLeader(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f75,plain,
( ~ rhasHead(sK1,sK2)
| spl4_4 ),
inference(resolution,[],[f43,f19]) ).
fof(f19,plain,
! [X0,X1] :
( rhasLeader(X1,X0)
| ~ rhasHead(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( rhasLeader(X1,X0)
| ~ rhasHead(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( rhasHead(X0,X1)
=> rhasLeader(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f43,plain,
( ~ rhasLeader(sK1,sK2)
| spl4_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f73,plain,
( ~ spl4_3
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f72,plain,
( $false
| ~ spl4_3
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f71,f51]) ).
fof(f51,plain,
( xsd_string(sK0)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl4_6
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f71,plain,
( ~ xsd_string(sK0)
| ~ spl4_3 ),
inference(resolution,[],[f40,f25]) ).
fof(f25,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,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(f40,plain,
( xsd_integer(sK0)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl4_3
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f70,plain,
( spl4_5
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f64,f42,f46]) ).
fof(f64,plain,
( rhasHead(sK1,sK2)
| ~ spl4_4 ),
inference(resolution,[],[f24,f44]) ).
fof(f44,plain,
( rhasLeader(sK1,sK2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f24,plain,
! [X0,X1] :
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f69,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f36,f28]) ).
fof(f28,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(f36,plain,
( cowlNothing(sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl4_2
<=> cowlNothing(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f63,plain,
( spl4_6
| spl4_3 ),
inference(avatar_split_clause,[],[f59,f38,f50]) ).
fof(f59,plain,
( xsd_string(sK0)
| spl4_3 ),
inference(resolution,[],[f26,f39]) ).
fof(f39,plain,
( ~ xsd_integer(sK0)
| spl4_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f26,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f58,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| spl4_1 ),
inference(subsumption_resolution,[],[f32,f27]) ).
fof(f27,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
( ~ cowlThing(sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl4_1
<=> cowlThing(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f56,plain,
( ~ spl4_1
| spl4_5
| spl4_4
| spl4_2
| spl4_6
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f20,f38,f50,f34,f42,f46,f30]) ).
fof(f20,plain,
( ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK3)
| rhasLeader(sK1,sK2)
| rhasHead(sK1,sK2)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( ( ~ xsd_string(sK0)
| xsd_integer(sK0) )
& ( xsd_string(sK0)
| ~ xsd_integer(sK0) ) )
| ( ( ~ rhasHead(sK1,sK2)
| ~ rhasLeader(sK1,sK2) )
& ( rhasHead(sK1,sK2)
| rhasLeader(sK1,sK2) ) )
| ~ cowlThing(sK3)
| cowlNothing(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f13,f16,f15,f14]) ).
fof(f14,plain,
( ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
=> ( ( ~ xsd_string(sK0)
| xsd_integer(sK0) )
& ( xsd_string(sK0)
| ~ xsd_integer(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X1,X2] :
( ( ~ rhasHead(X1,X2)
| ~ rhasLeader(X1,X2) )
& ( rhasHead(X1,X2)
| rhasLeader(X1,X2) ) )
=> ( ( ~ rhasHead(sK1,sK2)
| ~ rhasLeader(sK1,sK2) )
& ( rhasHead(sK1,sK2)
| rhasLeader(sK1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X3] :
( ~ cowlThing(X3)
| cowlNothing(X3) )
=> ( ~ cowlThing(sK3)
| cowlNothing(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
| ? [X1,X2] :
( ( ~ rhasHead(X1,X2)
| ~ rhasLeader(X1,X2) )
& ( rhasHead(X1,X2)
| rhasLeader(X1,X2) ) )
| ? [X3] :
( ~ cowlThing(X3)
| cowlNothing(X3) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
( ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
| ? [X2,X1] :
( ( ~ rhasHead(X2,X1)
| ~ rhasLeader(X2,X1) )
& ( rhasHead(X2,X1)
| rhasLeader(X2,X1) ) )
| ? [X3] :
( ~ cowlThing(X3)
| cowlNothing(X3) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ? [X0] :
( ~ xsd_integer(X0)
<~> xsd_string(X0) )
| ? [X2,X1] :
( rhasLeader(X2,X1)
<~> rhasHead(X2,X1) )
| ? [X3] :
( ~ cowlThing(X3)
| cowlNothing(X3) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) )
& ! [X2,X1] :
( rhasHead(X2,X1)
<=> rhasLeader(X2,X1) )
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X1,X0] :
( rhasHead(X0,X1)
<=> rhasLeader(X0,X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X1,X0] :
( rhasHead(X0,X1)
<=> rhasLeader(X0,X1) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f55,plain,
( ~ spl4_5
| ~ spl4_6
| ~ spl4_4
| ~ spl4_1
| spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f23,f38,f34,f30,f42,f50,f46]) ).
fof(f23,plain,
( xsd_integer(sK0)
| cowlNothing(sK3)
| ~ cowlThing(sK3)
| ~ rhasLeader(sK1,sK2)
| ~ xsd_string(sK0)
| ~ rhasHead(sK1,sK2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f54,plain,
( spl4_2
| ~ spl4_4
| ~ spl4_5
| ~ spl4_1
| spl4_6
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f21,f38,f50,f30,f46,f42,f34]) ).
fof(f21,plain,
( ~ xsd_integer(sK0)
| xsd_string(sK0)
| ~ cowlThing(sK3)
| ~ rhasHead(sK1,sK2)
| ~ rhasLeader(sK1,sK2)
| cowlNothing(sK3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f53,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f22,f50,f46,f42,f38,f34,f30]) ).
fof(f22,plain,
( ~ xsd_string(sK0)
| rhasHead(sK1,sK2)
| rhasLeader(sK1,sK2)
| xsd_integer(sK0)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS171+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:43:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.47 % (825)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.21/0.47 % (842)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.48 % (833)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.48 Detected maximum model sizes of [4]
% 0.21/0.48 % (842)First to succeed.
% 0.21/0.48 TRYING [1]
% 0.21/0.48 % (842)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (842)------------------------------
% 0.21/0.48 % (842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48 % (842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48 % (842)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (842)Memory used [KB]: 5373
% 0.21/0.48 % (842)Time elapsed: 0.098 s
% 0.21/0.48 % (842)Instructions burned: 2 (million)
% 0.21/0.48 % (842)------------------------------
% 0.21/0.48 % (842)------------------------------
% 0.21/0.48 % (820)Success in time 0.137 s
%------------------------------------------------------------------------------