TSTP Solution File: KRS134+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS134+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 : 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 17:29:48 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 : 54 ( 5 unt; 0 def)
% Number of atoms : 185 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 208 ( 77 ~; 79 |; 30 &)
% ( 10 <=>; 11 =>; 0 <=; 1 <~>)
% 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 : 45 ( 27 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f60,f61,f62,f64,f67,f74,f75,f76]) ).
fof(f76,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f69,f38,f34]) ).
fof(f34,plain,
( spl4_2
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f38,plain,
( spl4_3
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f69,plain,
( ~ xsd_string(sK0)
| ~ spl4_3 ),
inference(resolution,[],[f25,f39]) ).
fof(f39,plain,
( xsd_integer(sK0)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f25,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,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(f75,plain,
( spl4_4
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f70,f57,f42]) ).
fof(f42,plain,
( spl4_4
<=> cA(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f57,plain,
( spl4_7
<=> rprop(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f70,plain,
( cA(sK3)
| ~ spl4_7 ),
inference(resolution,[],[f28,f59]) ).
fof(f59,plain,
( rprop(sK2,sK3)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f28,plain,
! [X0,X1] :
( ~ rprop(X1,X0)
| cA(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ rprop(X1,X0)
| cA(X0) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
! [X1,X0] :
( ~ rprop(X0,X1)
| cA(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( rprop(X0,X1)
=> cA(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f74,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f32,f27]) ).
fof(f27,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f32,plain,
( cowlNothing(sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl4_1
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f67,plain,
( spl4_2
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f66,plain,
( $false
| spl4_2
| spl4_3 ),
inference(subsumption_resolution,[],[f65,f35]) ).
fof(f35,plain,
( ~ xsd_string(sK0)
| spl4_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f65,plain,
( xsd_string(sK0)
| spl4_3 ),
inference(resolution,[],[f24,f40]) ).
fof(f40,plain,
( ~ xsd_integer(sK0)
| spl4_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f24,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f64,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f63,plain,
( $false
| spl4_5 ),
inference(resolution,[],[f26,f48]) ).
fof(f48,plain,
( ~ cowlThing(sK1)
| spl4_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl4_5
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f26,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f62,plain,
( spl4_7
| spl4_3
| ~ spl4_5
| spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f23,f34,f30,f46,f38,f57]) ).
fof(f23,plain,
( ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1)
| xsd_integer(sK0)
| rprop(sK2,sK3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( ( ~ xsd_string(sK0)
| xsd_integer(sK0) )
& ( xsd_string(sK0)
| ~ xsd_integer(sK0) ) )
| ~ cowlThing(sK1)
| cowlNothing(sK1)
| ( rprop(sK2,sK3)
& ~ cA(sK3)
& cowlThing(sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f10,f14,f13,f12,f11]) ).
fof(f11,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(f12,plain,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
=> ( ~ cowlThing(sK1)
| cowlNothing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X2] :
( ? [X3] :
( rprop(X2,X3)
& ~ cA(X3) )
& cowlThing(X2) )
=> ( ? [X3] :
( rprop(sK2,X3)
& ~ cA(X3) )
& cowlThing(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X3] :
( rprop(sK2,X3)
& ~ cA(X3) )
=> ( rprop(sK2,sK3)
& ~ cA(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X0] :
( ( ~ xsd_string(X0)
| xsd_integer(X0) )
& ( xsd_string(X0)
| ~ xsd_integer(X0) ) )
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X2] :
( ? [X3] :
( rprop(X2,X3)
& ~ cA(X3) )
& cowlThing(X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ? [X2] :
( ( ~ xsd_string(X2)
| xsd_integer(X2) )
& ( xsd_string(X2)
| ~ xsd_integer(X2) ) )
| ? [X3] :
( ~ cowlThing(X3)
| cowlNothing(X3) )
| ? [X0] :
( ? [X1] :
( rprop(X0,X1)
& ~ cA(X1) )
& cowlThing(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ? [X2] :
( ~ xsd_integer(X2)
<~> xsd_string(X2) )
| ? [X3] :
( ~ cowlThing(X3)
| cowlNothing(X3) )
| ? [X0] :
( ? [X1] :
( rprop(X0,X1)
& ~ cA(X1) )
& cowlThing(X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ( ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) )
& ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) )
& ! [X2] :
( ~ xsd_integer(X2)
<=> xsd_string(X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
( ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f61,plain,
( spl4_1
| spl4_3
| ~ spl4_2
| ~ spl4_5
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f22,f42,f46,f34,f38,f30]) ).
fof(f22,plain,
( ~ cA(sK3)
| ~ cowlThing(sK1)
| ~ xsd_string(sK0)
| xsd_integer(sK0)
| cowlNothing(sK1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f60,plain,
( ~ spl4_5
| spl4_7
| spl4_1
| ~ spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f20,f34,f38,f30,f57,f46]) ).
fof(f20,plain,
( xsd_string(sK0)
| ~ xsd_integer(sK0)
| cowlNothing(sK1)
| rprop(sK2,sK3)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f49,plain,
( spl4_1
| spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f19,f46,f42,f38,f34,f30]) ).
fof(f19,plain,
( ~ cowlThing(sK1)
| ~ cA(sK3)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS134+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
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 00:55:35 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.50 % (3299)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.51 % (3314)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (3306)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.51 % (3299)First to succeed.
% 0.21/0.52 % (3299)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 % (3299)------------------------------
% 0.21/0.52 % (3299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (3299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (3299)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (3299)Memory used [KB]: 5884
% 0.21/0.52 % (3299)Time elapsed: 0.110 s
% 0.21/0.52 % (3299)Instructions burned: 2 (million)
% 0.21/0.52 % (3299)------------------------------
% 0.21/0.52 % (3299)------------------------------
% 0.21/0.52 % (3298)Success in time 0.163 s
%------------------------------------------------------------------------------