TSTP Solution File: KRS168+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS168+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 : n010.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 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 4 unt; 0 def)
% Number of atoms : 299 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 392 ( 157 ~; 178 |; 40 &)
% ( 12 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 6 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 16 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f58,f62,f71,f74,f77,f82,f86,f89]) ).
fof(f89,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| ~ spl3_1
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f87,f47]) ).
fof(f47,plain,
( xsd_string(sK0)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl3_3
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f87,plain,
( ~ xsd_string(sK0)
| ~ spl3_1 ),
inference(resolution,[],[f38,f15]) ).
fof(f15,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,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(f38,plain,
( xsd_integer(sK0)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl3_1
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f86,plain,
( spl3_1
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| spl3_1
| spl3_3 ),
inference(subsumption_resolution,[],[f83,f46]) ).
fof(f46,plain,
( ~ xsd_string(sK0)
| spl3_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f83,plain,
( xsd_string(sK0)
| spl3_1 ),
inference(resolution,[],[f16,f39]) ).
fof(f39,plain,
( ~ xsd_integer(sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f16,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f82,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f81]) ).
fof(f81,plain,
( $false
| spl3_5 ),
inference(subsumption_resolution,[],[f55,f28]) ).
fof(f28,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(f55,plain,
( ~ cowlThing(sK1)
| spl3_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl3_5
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f77,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f76,f41,f53,f37]) ).
fof(f41,plain,
( spl3_2
<=> cA(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f76,plain,
( ~ cA(sK2)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK0) ),
inference(subsumption_resolution,[],[f75,f15]) ).
fof(f75,plain,
( ~ cA(sK2)
| ~ cowlThing(sK1)
| xsd_string(sK0)
| ~ xsd_integer(sK0) ),
inference(subsumption_resolution,[],[f29,f27]) ).
fof(f27,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f29,plain,
( xsd_string(sK0)
| ~ xsd_integer(sK0)
| ~ cowlThing(sK1)
| ~ cA(sK2)
| cowlNothing(sK1) ),
inference(duplicate_literal_removal,[],[f18]) ).
fof(f18,plain,
( cowlNothing(sK1)
| ~ cowlThing(sK1)
| ~ cA(sK2)
| xsd_string(sK0)
| ~ xsd_integer(sK0)
| ~ cA(sK2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) )
| ~ cowlThing(sK1)
| cowlNothing(sK1)
| ( ( cB(sK2)
| cA(sK2)
| cA(sK2)
| cB(sK2) )
& ( ( ~ cB(sK2)
& ~ cA(sK2) )
| ( ~ cA(sK2)
& ~ cB(sK2) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f10,f13,f12,f11]) ).
fof(f11,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
=> ( ~ cowlThing(sK1)
| cowlNothing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X2] :
( ( cB(X2)
| cA(X2)
| cA(X2)
| cB(X2) )
& ( ( ~ cB(X2)
& ~ cA(X2) )
| ( ~ cA(X2)
& ~ cB(X2) ) ) )
=> ( ( cB(sK2)
| cA(sK2)
| cA(sK2)
| cB(sK2) )
& ( ( ~ cB(sK2)
& ~ cA(sK2) )
| ( ~ cA(sK2)
& ~ cB(sK2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X2] :
( ( cB(X2)
| cA(X2)
| cA(X2)
| cB(X2) )
& ( ( ~ cB(X2)
& ~ cA(X2) )
| ( ~ cA(X2)
& ~ cB(X2) ) ) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X1] :
( ( cB(X1)
| cA(X1)
| cA(X1)
| cB(X1) )
& ( ( ~ cB(X1)
& ~ cA(X1) )
| ( ~ cA(X1)
& ~ cB(X1) ) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X1] :
( ( cB(X1)
| cA(X1)
| cA(X1)
| cB(X1) )
& ( ( ~ cB(X1)
& ~ cA(X1) )
| ( ~ cA(X1)
& ~ cB(X1) ) ) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X1] :
( ( ~ cA(X1)
& ~ cB(X1) )
<~> ( ~ cB(X1)
& ~ cA(X1) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ( ! [X1] :
( ( ~ cA(X1)
& ~ cB(X1) )
<=> ~ ( cA(X1)
| cB(X1) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ( ~ cA(X0)
& ~ cB(X0) )
<=> ~ ( cB(X0)
| cA(X0) ) )
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ( ~ cA(X0)
& ~ cB(X0) )
<=> ~ ( cB(X0)
| cA(X0) ) )
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f74,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f73,f53,f49,f45]) ).
fof(f49,plain,
( spl3_4
<=> cB(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f73,plain,
( ~ cowlThing(sK1)
| ~ cB(sK2)
| ~ xsd_string(sK0) ),
inference(subsumption_resolution,[],[f72,f15]) ).
fof(f72,plain,
( ~ cB(sK2)
| xsd_integer(sK0)
| ~ cowlThing(sK1)
| ~ xsd_string(sK0) ),
inference(subsumption_resolution,[],[f30,f27]) ).
fof(f30,plain,
( ~ cowlThing(sK1)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cB(sK2) ),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| ~ cB(sK2)
| xsd_integer(sK0)
| ~ cB(sK2)
| ~ xsd_string(sK0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f71,plain,
( spl3_2
| spl3_4
| spl3_1
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f70,f53,f37,f49,f41]) ).
fof(f70,plain,
( ~ cowlThing(sK1)
| xsd_integer(sK0)
| cB(sK2)
| cA(sK2) ),
inference(subsumption_resolution,[],[f69,f16]) ).
fof(f69,plain,
( cA(sK2)
| ~ cowlThing(sK1)
| cB(sK2)
| ~ xsd_string(sK0)
| xsd_integer(sK0) ),
inference(subsumption_resolution,[],[f31,f27]) ).
fof(f31,plain,
( ~ xsd_string(sK0)
| xsd_integer(sK0)
| ~ cowlThing(sK1)
| cA(sK2)
| cowlNothing(sK1)
| cB(sK2) ),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f26,plain,
( ~ xsd_string(sK0)
| cB(sK2)
| cowlNothing(sK1)
| ~ cowlThing(sK1)
| xsd_integer(sK0)
| cA(sK2)
| cA(sK2)
| cB(sK2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f62,plain,
( ~ spl3_5
| spl3_1
| ~ spl3_3
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f61,f41,f45,f37,f53]) ).
fof(f61,plain,
( ~ cA(sK2)
| ~ xsd_string(sK0)
| xsd_integer(sK0)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f32,f27]) ).
fof(f32,plain,
( ~ cowlThing(sK1)
| xsd_integer(sK0)
| cowlNothing(sK1)
| ~ xsd_string(sK0)
| ~ cA(sK2) ),
inference(duplicate_literal_removal,[],[f23]) ).
fof(f23,plain,
( ~ xsd_string(sK0)
| ~ cA(sK2)
| ~ cowlThing(sK1)
| xsd_integer(sK0)
| cowlNothing(sK1)
| ~ cA(sK2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f58,plain,
( ~ spl3_5
| ~ spl3_4
| ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f57,f45,f37,f49,f53]) ).
fof(f57,plain,
( xsd_string(sK0)
| ~ xsd_integer(sK0)
| ~ cB(sK2)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f33,f27]) ).
fof(f33,plain,
( cowlNothing(sK1)
| xsd_string(sK0)
| ~ cB(sK2)
| ~ xsd_integer(sK0)
| ~ cowlThing(sK1) ),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f19,plain,
( ~ cowlThing(sK1)
| ~ cB(sK2)
| cowlNothing(sK1)
| ~ cB(sK2)
| xsd_string(sK0)
| ~ xsd_integer(sK0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f56,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| spl3_4
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f35,f53,f49,f45,f41,f37]) ).
fof(f35,plain,
( ~ cowlThing(sK1)
| cB(sK2)
| xsd_string(sK0)
| cA(sK2)
| ~ xsd_integer(sK0) ),
inference(subsumption_resolution,[],[f34,f27]) ).
fof(f34,plain,
( cowlNothing(sK1)
| xsd_string(sK0)
| cB(sK2)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK0)
| cA(sK2) ),
inference(duplicate_literal_removal,[],[f21]) ).
fof(f21,plain,
( xsd_string(sK0)
| cB(sK2)
| ~ xsd_integer(sK0)
| cB(sK2)
| cA(sK2)
| cowlNothing(sK1)
| cA(sK2)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS168+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 : n010.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 00:32:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (15490)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.50 % (15486)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.50 % (15482)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.50 Detected maximum model sizes of [3]
% 0.20/0.50 % (15490)First to succeed.
% 0.20/0.50 % (15467)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.51 % (15475)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (15490)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (15490)------------------------------
% 0.20/0.51 % (15490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15490)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (15490)Memory used [KB]: 5373
% 0.20/0.51 % (15490)Time elapsed: 0.108 s
% 0.20/0.51 % (15490)Instructions burned: 1 (million)
% 0.20/0.51 % (15490)------------------------------
% 0.20/0.51 % (15490)------------------------------
% 0.20/0.51 % (15463)Success in time 0.156 s
%------------------------------------------------------------------------------