TSTP Solution File: KRS172+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS172+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 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 104 ( 5 unt; 0 def)
% Number of atoms : 320 ( 16 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 350 ( 134 ~; 157 |; 28 &)
% ( 18 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 103 ( 87 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,plain,
$false,
inference(avatar_sat_refutation,[],[f138,f139,f141,f145,f162,f178,f181,f183,f186,f188]) ).
fof(f188,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f187,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f125,f102]) ).
fof(f102,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f125,plain,
( cowlNothing(sK0)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl4_3
<=> cowlNothing(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f186,plain,
( spl4_1
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f185,plain,
( $false
| spl4_1
| spl4_4 ),
inference(subsumption_resolution,[],[f184,f116]) ).
fof(f116,plain,
( ~ xsd_integer(sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl4_1
<=> xsd_integer(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f184,plain,
( xsd_integer(sK3)
| spl4_4 ),
inference(resolution,[],[f129,f89]) ).
fof(f89,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( ~ xsd_integer(X0)
| ~ xsd_string(X0) )
& ( xsd_string(X0)
| xsd_integer(X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f129,plain,
( ~ xsd_string(sK3)
| spl4_4 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl4_4
<=> xsd_string(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f183,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| spl4_5 ),
inference(subsumption_resolution,[],[f133,f103]) ).
fof(f103,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f34]) ).
fof(f133,plain,
( ~ cowlThing(sK0)
| spl4_5 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl4_5
<=> cowlThing(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f181,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f180,plain,
( $false
| ~ spl4_1
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f179,f117]) ).
fof(f117,plain,
( xsd_integer(sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f179,plain,
( ~ xsd_integer(sK3)
| ~ spl4_4 ),
inference(resolution,[],[f128,f90]) ).
fof(f90,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f128,plain,
( xsd_string(sK3)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f178,plain,
( spl4_2
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| spl4_2
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f176,f165]) ).
fof(f165,plain,
( rp(sK2,iv)
| ~ spl4_6 ),
inference(resolution,[],[f164,f94]) ).
fof(f94,plain,
! [X0] :
( ~ cd(X0)
| rp(X0,iv) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( rp(X0,iv)
| ~ cd(X0) )
& ( cd(X0)
| ~ rp(X0,iv) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( rp(X0,iv)
<=> cd(X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( rp(X3,iv)
<=> cd(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f164,plain,
( cd(sK2)
| ~ spl4_6 ),
inference(resolution,[],[f136,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| cd(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( cd(X0)
| ~ rq(X0,X1) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( cd(X1)
| ~ rq(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( rq(X1,X0)
=> cd(X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X3] :
( rq(X3,X4)
=> cd(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f136,plain,
( rq(sK2,sK1)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl4_6
<=> rq(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f176,plain,
( ~ rp(sK2,iv)
| spl4_2
| ~ spl4_6 ),
inference(backward_demodulation,[],[f121,f173]) ).
fof(f173,plain,
( iv = sK1
| ~ spl4_6 ),
inference(resolution,[],[f163,f166]) ).
fof(f166,plain,
( rq(sK2,iv)
| ~ spl4_6 ),
inference(resolution,[],[f164,f84]) ).
fof(f84,plain,
! [X0] :
( ~ cd(X0)
| rq(X0,iv) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( cd(X0)
| ~ rq(X0,iv) )
& ( rq(X0,iv)
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( cd(X0)
<=> rq(X0,iv) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3] :
( rq(X3,iv)
<=> cd(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f163,plain,
( ! [X0] :
( ~ rq(sK2,X0)
| sK1 = X0 )
| ~ spl4_6 ),
inference(resolution,[],[f136,f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ rq(X0,X2)
| X1 = X2
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ rq(X0,X2)
| ~ rq(X0,X1)
| X1 = X2 ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X2,X1,X0] :
( ~ rq(X2,X0)
| ~ rq(X2,X1)
| X0 = X1 ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ rq(X2,X1)
| ~ rq(X2,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ( rq(X2,X1)
& rq(X2,X0) )
=> X0 = X1 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X4,X3] :
( ( rq(X3,X5)
& rq(X3,X4) )
=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f121,plain,
( ~ rp(sK2,sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl4_2
<=> rp(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f162,plain,
( ~ spl4_2
| spl4_6 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f161,plain,
( $false
| ~ spl4_2
| spl4_6 ),
inference(subsumption_resolution,[],[f159,f149]) ).
fof(f149,plain,
( rq(sK2,iv)
| ~ spl4_2 ),
inference(resolution,[],[f84,f148]) ).
fof(f148,plain,
( cd(sK2)
| ~ spl4_2 ),
inference(resolution,[],[f81,f120]) ).
fof(f120,plain,
( rp(sK2,sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f81,plain,
! [X0,X1] :
( ~ rp(X1,X0)
| cd(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ rp(X1,X0)
| cd(X1) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ~ rp(X0,X1)
| cd(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( rp(X0,X1)
=> cd(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( rp(X3,X4)
=> cd(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f159,plain,
( ~ rq(sK2,iv)
| ~ spl4_2
| spl4_6 ),
inference(backward_demodulation,[],[f137,f157]) ).
fof(f157,plain,
( iv = sK1
| ~ spl4_2 ),
inference(resolution,[],[f147,f153]) ).
fof(f153,plain,
( rp(sK2,iv)
| ~ spl4_2 ),
inference(resolution,[],[f94,f148]) ).
fof(f147,plain,
( ! [X0] :
( ~ rp(sK2,X0)
| sK1 = X0 )
| ~ spl4_2 ),
inference(resolution,[],[f92,f120]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ rp(X0,X2)
| X1 = X2
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ rp(X0,X1)
| ~ rp(X0,X2)
| X1 = X2 ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X2,X0] :
( ~ rp(X1,X2)
| ~ rp(X1,X0)
| X0 = X2 ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X2,X1] :
( X0 = X2
| ~ rp(X1,X2)
| ~ rp(X1,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( rp(X1,X2)
& rp(X1,X0) )
=> X0 = X2 ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X5,X3,X4] :
( ( rp(X3,X4)
& rp(X3,X5) )
=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f137,plain,
( ~ rq(sK2,sK1)
| spl4_6 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f145,plain,
( spl4_2
| spl4_6
| spl4_4 ),
inference(avatar_split_clause,[],[f144,f127,f135,f119]) ).
fof(f144,plain,
( xsd_string(sK3)
| rq(sK2,sK1)
| rp(sK2,sK1) ),
inference(subsumption_resolution,[],[f143,f89]) ).
fof(f143,plain,
( rp(sK2,sK1)
| ~ xsd_integer(sK3)
| xsd_string(sK3)
| rq(sK2,sK1) ),
inference(subsumption_resolution,[],[f142,f102]) ).
fof(f142,plain,
( cowlNothing(sK0)
| rp(sK2,sK1)
| xsd_string(sK3)
| ~ xsd_integer(sK3)
| rq(sK2,sK1) ),
inference(subsumption_resolution,[],[f97,f103]) ).
fof(f97,plain,
( ~ xsd_integer(sK3)
| rp(sK2,sK1)
| ~ cowlThing(sK0)
| xsd_string(sK3)
| rq(sK2,sK1)
| cowlNothing(sK0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( cowlNothing(sK0)
| ~ cowlThing(sK0)
| ( ( ~ rq(sK2,sK1)
| ~ rp(sK2,sK1) )
& ( rq(sK2,sK1)
| rp(sK2,sK1) ) )
| ( ( xsd_integer(sK3)
| ~ xsd_string(sK3) )
& ( ~ xsd_integer(sK3)
| xsd_string(sK3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f72,f75,f74,f73]) ).
fof(f73,plain,
( ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
=> ( cowlNothing(sK0)
| ~ cowlThing(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X1,X2] :
( ( ~ rq(X2,X1)
| ~ rp(X2,X1) )
& ( rq(X2,X1)
| rp(X2,X1) ) )
=> ( ( ~ rq(sK2,sK1)
| ~ rp(sK2,sK1) )
& ( rq(sK2,sK1)
| rp(sK2,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X3] :
( ( xsd_integer(X3)
| ~ xsd_string(X3) )
& ( ~ xsd_integer(X3)
| xsd_string(X3) ) )
=> ( ( xsd_integer(sK3)
| ~ xsd_string(sK3) )
& ( ~ xsd_integer(sK3)
| xsd_string(sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
| ? [X1,X2] :
( ( ~ rq(X2,X1)
| ~ rp(X2,X1) )
& ( rq(X2,X1)
| rp(X2,X1) ) )
| ? [X3] :
( ( xsd_integer(X3)
| ~ xsd_string(X3) )
& ( ~ xsd_integer(X3)
| xsd_string(X3) ) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
( ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) )
| ? [X0,X1] :
( ( ~ rq(X1,X0)
| ~ rp(X1,X0) )
& ( rq(X1,X0)
| rp(X1,X0) ) )
| ? [X3] :
( ( xsd_integer(X3)
| ~ xsd_string(X3) )
& ( ~ xsd_integer(X3)
| xsd_string(X3) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) )
| ? [X0,X1] :
( rp(X1,X0)
<~> rq(X1,X0) )
| ? [X3] :
( xsd_string(X3)
<~> ~ xsd_integer(X3) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
~ ( ! [X2] :
( ~ cowlNothing(X2)
& cowlThing(X2) )
& ! [X3] :
( ~ xsd_integer(X3)
<=> xsd_string(X3) )
& ! [X0,X1] :
( rp(X1,X0)
<=> rq(X1,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ( ! [X4,X3] :
( rp(X3,X4)
<=> rq(X3,X4) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) )
& ! [X3] :
( ~ xsd_integer(X3)
<=> xsd_string(X3) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
( ! [X4,X3] :
( rp(X3,X4)
<=> rq(X3,X4) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) )
& ! [X3] :
( ~ xsd_integer(X3)
<=> xsd_string(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f141,plain,
( spl4_6
| spl4_2
| spl4_3
| ~ spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f140,f115,f127,f123,f119,f135]) ).
fof(f140,plain,
( xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK0)
| rp(sK2,sK1)
| rq(sK2,sK1) ),
inference(subsumption_resolution,[],[f98,f103]) ).
fof(f98,plain,
( xsd_integer(sK3)
| ~ xsd_string(sK3)
| rq(sK2,sK1)
| ~ cowlThing(sK0)
| rp(sK2,sK1)
| cowlNothing(sK0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f139,plain,
( ~ spl4_6
| ~ spl4_5
| ~ spl4_1
| ~ spl4_2
| spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f99,f127,f123,f119,f115,f131,f135]) ).
fof(f99,plain,
( xsd_string(sK3)
| cowlNothing(sK0)
| ~ rp(sK2,sK1)
| ~ xsd_integer(sK3)
| ~ cowlThing(sK0)
| ~ rq(sK2,sK1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f138,plain,
( spl4_1
| ~ spl4_2
| spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f100,f135,f131,f127,f123,f119,f115]) ).
fof(f100,plain,
( ~ rq(sK2,sK1)
| ~ cowlThing(sK0)
| ~ xsd_string(sK3)
| cowlNothing(sK0)
| ~ rp(sK2,sK1)
| xsd_integer(sK3) ),
inference(cnf_transformation,[],[f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS172+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_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 00:51:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 % (25994)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.45 % (25994)First to succeed.
% 0.19/0.46 % (25994)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (25994)------------------------------
% 0.19/0.46 % (25994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (25994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (25994)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (25994)Memory used [KB]: 5500
% 0.19/0.46 % (25994)Time elapsed: 0.078 s
% 0.19/0.46 % (25994)Instructions burned: 3 (million)
% 0.19/0.46 % (25994)------------------------------
% 0.19/0.46 % (25994)------------------------------
% 0.19/0.46 % (25989)Success in time 0.117 s
%------------------------------------------------------------------------------