TSTP Solution File: KRS141+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS141+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 : n026.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 17:29:49 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 54 ( 11 unt; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 187 ( 79 ~; 74 |; 19 &)
% ( 10 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 19 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,plain,
$false,
inference(avatar_sat_refutation,[],[f54,f59,f70,f72,f74,f79,f80]) ).
fof(f80,plain,
( ~ spl2_6
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f75,f39,f51]) ).
fof(f51,plain,
( spl2_6
<=> xsd_integer(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f39,plain,
( spl2_3
<=> xsd_string(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f75,plain,
( ~ xsd_integer(sK1)
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f40,f25]) ).
fof(f25,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,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/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f40,plain,
( xsd_string(sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f79,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f37,f21]) ).
fof(f21,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(f37,plain,
( cowlNothing(sK0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl2_2
<=> cowlNothing(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f74,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| spl2_5 ),
inference(subsumption_resolution,[],[f49,f20]) ).
fof(f20,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f49,plain,
( ~ cowlThing(io)
| spl2_5 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl2_5
<=> cowlThing(io) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f72,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f71,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f33,f20]) ).
fof(f33,plain,
( ~ cowlThing(sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl2_1
<=> cowlThing(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f70,plain,
spl2_4,
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| spl2_4 ),
inference(subsumption_resolution,[],[f60,f22]) ).
fof(f22,plain,
rp(ii,io),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
rp(ii,io),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f60,plain,
( ~ rp(ii,io)
| spl2_4 ),
inference(unit_resulting_resolution,[],[f19,f45,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cc(X1)
| ~ cr(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ! [X1] :
( cc(X1)
| ~ rp(X0,X1) )
| ~ cr(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cr(X0)
=> ! [X1] :
( rp(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f45,plain,
( ~ cc(io)
| spl2_4 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl2_4
<=> cc(io) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f19,plain,
cr(ii),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
cr(ii),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f59,plain,
( ~ spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f58,f39,f43]) ).
fof(f58,plain,
( xsd_string(sK1)
| ~ cc(io) ),
inference(subsumption_resolution,[],[f57,f24]) ).
fof(f24,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f57,plain,
( ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cc(io) ),
inference(subsumption_resolution,[],[f56,f20]) ).
fof(f56,plain,
( xsd_string(sK1)
| ~ cc(io)
| ~ cowlThing(sK0)
| ~ xsd_integer(sK1) ),
inference(subsumption_resolution,[],[f55,f20]) ).
fof(f55,plain,
( ~ cc(io)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cowlThing(io)
| ~ cowlThing(sK0) ),
inference(subsumption_resolution,[],[f28,f21]) ).
fof(f28,plain,
( cowlNothing(sK0)
| xsd_string(sK1)
| ~ cowlThing(io)
| ~ cc(io)
| ~ cowlThing(sK0)
| ~ xsd_integer(sK1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ~ cc(io)
| ~ cowlThing(io)
| cowlNothing(sK0)
| ~ cowlThing(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] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
=> ( cowlNothing(sK0)
| ~ cowlThing(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,
( ~ cc(io)
| ~ cowlThing(io)
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
( ~ cc(io)
| ~ cowlThing(io)
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ~ cc(io)
| ~ cowlThing(io)
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ( cc(io)
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) )
& cowlThing(io)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ( cc(io)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& cowlThing(io)
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
( cc(io)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& cowlThing(io)
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f54,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f29,f51,f47,f43,f39,f35,f31]) ).
fof(f29,plain,
( xsd_integer(sK1)
| ~ cowlThing(io)
| ~ cc(io)
| ~ xsd_string(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS141+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.14 % 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 : n026.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 00:48:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (16200)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.50 % (16207)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (16207)First to succeed.
% 0.21/0.51 % (16207)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (16207)------------------------------
% 0.21/0.51 % (16207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (16207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (16207)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (16207)Memory used [KB]: 5884
% 0.21/0.51 % (16207)Time elapsed: 0.098 s
% 0.21/0.51 % (16207)Instructions burned: 2 (million)
% 0.21/0.51 % (16207)------------------------------
% 0.21/0.51 % (16207)------------------------------
% 0.21/0.51 % (16194)Success in time 0.149 s
%------------------------------------------------------------------------------