TSTP Solution File: KRS144+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS144+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 : n002.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 17:30:56 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of formulae : 118 ( 5 unt; 0 def)
% Number of atoms : 559 ( 115 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 695 ( 254 ~; 276 |; 124 &)
% ( 19 <=>; 19 =>; 0 <=; 3 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 16 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 166 ( 100 !; 66 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f265,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f103,f120,f125,f130,f137,f142,f149,f152,f157,f162,f164,f177,f179,f182,f264]) ).
fof(f264,plain,
( spl10_2
| ~ spl10_3
| ~ spl10_8
| spl10_9
| spl10_11
| ~ spl10_13
| ~ spl10_14 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl10_2
| ~ spl10_3
| ~ spl10_8
| spl10_9
| spl10_11
| ~ spl10_13
| ~ spl10_14 ),
inference(subsumption_resolution,[],[f262,f97]) ).
fof(f97,plain,
( sK3 != sK2
| spl10_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl10_2
<=> sK3 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f262,plain,
( sK3 = sK2
| ~ spl10_3
| ~ spl10_8
| spl10_9
| spl10_11
| ~ spl10_13
| ~ spl10_14 ),
inference(subsumption_resolution,[],[f258,f141]) ).
fof(f141,plain,
( sK4 != sK3
| spl10_11 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl10_11
<=> sK4 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f258,plain,
( sK4 = sK3
| sK3 = sK2
| ~ spl10_3
| ~ spl10_8
| spl10_9
| ~ spl10_13
| ~ spl10_14 ),
inference(resolution,[],[f209,f124]) ).
fof(f124,plain,
( rp(sK1,sK3)
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl10_8
<=> rp(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f209,plain,
( ! [X2] :
( ~ rp(sK1,X2)
| sK4 = X2
| sK2 = X2 )
| ~ spl10_3
| spl10_9
| ~ spl10_13
| ~ spl10_14 ),
inference(subsumption_resolution,[],[f196,f129]) ).
fof(f129,plain,
( sK4 != sK2
| spl10_9 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl10_9
<=> sK4 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f196,plain,
( ! [X2] :
( sK4 = X2
| ~ rp(sK1,X2)
| sK4 = sK2
| sK2 = X2 )
| ~ spl10_3
| ~ spl10_13
| ~ spl10_14 ),
inference(resolution,[],[f191,f161]) ).
fof(f161,plain,
( rp(sK1,sK4)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl10_14
<=> rp(sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f191,plain,
( ! [X6,X7] :
( ~ rp(sK1,X7)
| X6 = X7
| sK2 = X7
| sK2 = X6
| ~ rp(sK1,X6) )
| ~ spl10_3
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f186,f156]) ).
fof(f156,plain,
( cc(sK1)
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl10_13
<=> cc(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f186,plain,
( ! [X6,X7] :
( sK2 = X7
| ~ cc(sK1)
| ~ rp(sK1,X7)
| X6 = X7
| ~ rp(sK1,X6)
| sK2 = X6 )
| ~ spl10_3 ),
inference(resolution,[],[f76,f102]) ).
fof(f102,plain,
( rp(sK1,sK2)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl10_3
<=> rp(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( ~ rp(X0,X3)
| X2 = X3
| X1 = X2
| X1 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( ~ rp(X0,X2)
| X1 = X3
| X1 = X2
| ~ rp(X0,X3)
| X2 = X3
| ~ rp(X0,X1) )
& rp(X0,sK9(X0))
& sK8(X0) != sK9(X0)
& rp(X0,sK8(X0)) )
| ~ cc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f53,f54]) ).
fof(f54,plain,
! [X0] :
( ? [X4,X5] :
( rp(X0,X5)
& X4 != X5
& rp(X0,X4) )
=> ( rp(X0,sK9(X0))
& sK8(X0) != sK9(X0)
& rp(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( ~ rp(X0,X2)
| X1 = X3
| X1 = X2
| ~ rp(X0,X3)
| X2 = X3
| ~ rp(X0,X1) )
& ? [X4,X5] :
( rp(X0,X5)
& X4 != X5
& rp(X0,X4) ) )
| ~ cc(X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( ! [X5,X3,X4] :
( ~ rp(X0,X3)
| X4 = X5
| X3 = X5
| ~ rp(X0,X4)
| X3 = X4
| ~ rp(X0,X5) )
& ? [X2,X1] :
( rp(X0,X1)
& X1 != X2
& rp(X0,X2) ) )
| ~ cc(X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( ? [X2,X1] :
( rp(X0,X1)
& X1 != X2
& rp(X0,X2) )
& ! [X5,X3,X4] :
( X4 = X5
| X3 = X5
| X3 = X4
| ~ rp(X0,X3)
| ~ rp(X0,X4)
| ~ rp(X0,X5) ) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( cc(X0)
=> ( ? [X2,X1] :
( rp(X0,X1)
& X1 != X2
& rp(X0,X2) )
& ! [X5,X3,X4] :
( ( rp(X0,X3)
& rp(X0,X4)
& rp(X0,X5) )
=> ( X4 = X5
| X3 = X5
| X3 = X4 ) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3] :
( cc(X3)
=> ( ? [X4,X5] :
( rp(X3,X4)
& rp(X3,X5)
& X4 != X5 )
& ! [X6,X4,X5] :
( ( rp(X3,X4)
& rp(X3,X5)
& rp(X3,X6) )
=> ( X5 = X6
| X4 = X6
| X4 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f182,plain,
( ~ spl10_5
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f181]) ).
fof(f181,plain,
( $false
| ~ spl10_5
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f180,f148]) ).
fof(f148,plain,
( xsd_integer(sK5)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl10_12
<=> xsd_integer(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f180,plain,
( ~ xsd_integer(sK5)
| ~ spl10_5 ),
inference(resolution,[],[f112,f80]) ).
fof(f80,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( ~ xsd_integer(X0)
| ~ xsd_string(X0) )
& ( xsd_string(X0)
| xsd_integer(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3] :
( ~ xsd_integer(X3)
<=> xsd_string(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f112,plain,
( xsd_string(sK5)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl10_5
<=> xsd_string(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f179,plain,
~ spl10_4,
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| ~ spl10_4 ),
inference(subsumption_resolution,[],[f108,f78]) ).
fof(f78,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f108,plain,
( cowlNothing(sK6)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl10_4
<=> cowlNothing(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f177,plain,
( ~ spl10_7
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f176,plain,
( $false
| ~ spl10_7
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f175,f136]) ).
fof(f136,plain,
( cc(sK7)
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl10_10
<=> cc(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f175,plain,
( ~ cc(sK7)
| ~ spl10_7
| ~ spl10_10 ),
inference(trivial_inequality_removal,[],[f173]) ).
fof(f173,plain,
( sK8(sK7) != sK8(sK7)
| ~ cc(sK7)
| ~ spl10_7
| ~ spl10_10 ),
inference(superposition,[],[f74,f172]) ).
fof(f172,plain,
( sK8(sK7) = sK9(sK7)
| ~ spl10_7
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f170,f136]) ).
fof(f170,plain,
( ~ cc(sK7)
| sK8(sK7) = sK9(sK7)
| ~ spl10_7
| ~ spl10_10 ),
inference(resolution,[],[f168,f73]) ).
fof(f73,plain,
! [X0] :
( rp(X0,sK8(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f168,plain,
( ! [X1] :
( ~ rp(sK7,X1)
| sK9(sK7) = X1 )
| ~ spl10_7
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f167,f136]) ).
fof(f167,plain,
( ! [X1] :
( ~ rp(sK7,X1)
| ~ cc(sK7)
| sK9(sK7) = X1 )
| ~ spl10_7 ),
inference(resolution,[],[f119,f75]) ).
fof(f75,plain,
! [X0] :
( rp(X0,sK9(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f119,plain,
( ! [X3,X4] :
( ~ rp(sK7,X4)
| X3 = X4
| ~ rp(sK7,X3) )
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl10_7
<=> ! [X4,X3] :
( ~ rp(sK7,X4)
| ~ rp(sK7,X3)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f74,plain,
! [X0] :
( sK8(X0) != sK9(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f164,plain,
spl10_6,
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| spl10_6 ),
inference(subsumption_resolution,[],[f116,f77]) ).
fof(f77,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f17]) ).
fof(f116,plain,
( ~ cowlThing(sK6)
| spl10_6 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl10_6
<=> cowlThing(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f162,plain,
( ~ spl10_1
| spl10_14 ),
inference(avatar_split_clause,[],[f64,f159,f91]) ).
fof(f91,plain,
( spl10_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f64,plain,
( rp(sK1,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( cc(sK1)
& rp(sK1,sK3)
& sK4 != sK2
& rp(sK1,sK2)
& rp(sK1,sK4)
& sK3 != sK2
& sK4 != sK3 )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f43,f45,f44]) ).
fof(f44,plain,
( ? [X0] :
( cc(X0)
& ? [X1,X2,X3] :
( rp(X0,X2)
& X1 != X3
& rp(X0,X1)
& rp(X0,X3)
& X1 != X2
& X2 != X3 ) )
=> ( cc(sK1)
& ? [X3,X2,X1] :
( rp(sK1,X2)
& X1 != X3
& rp(sK1,X1)
& rp(sK1,X3)
& X1 != X2
& X2 != X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ? [X3,X2,X1] :
( rp(sK1,X2)
& X1 != X3
& rp(sK1,X1)
& rp(sK1,X3)
& X1 != X2
& X2 != X3 )
=> ( rp(sK1,sK3)
& sK4 != sK2
& rp(sK1,sK2)
& rp(sK1,sK4)
& sK3 != sK2
& sK4 != sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X0] :
( cc(X0)
& ? [X1,X2,X3] :
( rp(X0,X2)
& X1 != X3
& rp(X0,X1)
& rp(X0,X3)
& X1 != X2
& X2 != X3 ) )
| ~ sP0 ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
( ? [X1] :
( cc(X1)
& ? [X2,X4,X3] :
( rp(X1,X4)
& X2 != X3
& rp(X1,X2)
& rp(X1,X3)
& X2 != X4
& X3 != X4 ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ? [X1] :
( cc(X1)
& ? [X2,X4,X3] :
( rp(X1,X4)
& X2 != X3
& rp(X1,X2)
& rp(X1,X3)
& X2 != X4
& X3 != X4 ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f157,plain,
( ~ spl10_1
| spl10_13 ),
inference(avatar_split_clause,[],[f68,f154,f91]) ).
fof(f68,plain,
( cc(sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f152,plain,
( spl10_10
| ~ spl10_6
| spl10_1
| spl10_12 ),
inference(avatar_split_clause,[],[f151,f146,f91,f114,f134]) ).
fof(f151,plain,
( xsd_integer(sK5)
| sP0
| ~ cowlThing(sK6)
| cc(sK7) ),
inference(subsumption_resolution,[],[f150,f79]) ).
fof(f79,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f150,plain,
( ~ cowlThing(sK6)
| cc(sK7)
| ~ xsd_string(sK5)
| xsd_integer(sK5)
| sP0 ),
inference(subsumption_resolution,[],[f72,f78]) ).
fof(f72,plain,
( xsd_integer(sK5)
| ~ cowlThing(sK6)
| sP0
| cc(sK7)
| ~ xsd_string(sK5)
| cowlNothing(sK6) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( sP0
| ( ( xsd_integer(sK5)
| ~ xsd_string(sK5) )
& ( ~ xsd_integer(sK5)
| xsd_string(sK5) ) )
| cowlNothing(sK6)
| ~ cowlThing(sK6)
| ( cc(sK7)
& ! [X3,X4] :
( ~ rp(sK7,X3)
| X3 = X4
| ~ rp(sK7,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f48,f51,f50,f49]) ).
fof(f49,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK5)
| ~ xsd_string(sK5) )
& ( ~ xsd_integer(sK5)
| xsd_string(sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK6)
| ~ cowlThing(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X2] :
( cc(X2)
& ! [X3,X4] :
( ~ rp(X2,X3)
| X3 = X4
| ~ rp(X2,X4) ) )
=> ( cc(sK7)
& ! [X4,X3] :
( ~ rp(sK7,X3)
| X3 = X4
| ~ rp(sK7,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( sP0
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
| ? [X2] :
( cc(X2)
& ! [X3,X4] :
( ~ rp(X2,X3)
| X3 = X4
| ~ rp(X2,X4) ) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
( sP0
| ? [X5] :
( ( xsd_integer(X5)
| ~ xsd_string(X5) )
& ( ~ xsd_integer(X5)
| xsd_string(X5) ) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
| ? [X6] :
( cc(X6)
& ! [X7,X8] :
( ~ rp(X6,X7)
| X7 = X8
| ~ rp(X6,X8) ) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( sP0
| ? [X5] :
( xsd_string(X5)
<~> ~ xsd_integer(X5) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
| ? [X6] :
( cc(X6)
& ! [X7,X8] :
( ~ rp(X6,X7)
| X7 = X8
| ~ rp(X6,X8) ) ) ),
inference(definition_folding,[],[f35,f38]) ).
fof(f35,plain,
( ? [X1] :
( cc(X1)
& ? [X2,X4,X3] :
( rp(X1,X4)
& X2 != X3
& rp(X1,X2)
& rp(X1,X3)
& X2 != X4
& X3 != X4 ) )
| ? [X5] :
( xsd_string(X5)
<~> ~ xsd_integer(X5) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
| ? [X6] :
( cc(X6)
& ! [X7,X8] :
( ~ rp(X6,X7)
| X7 = X8
| ~ rp(X6,X8) ) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
( ? [X5] :
( xsd_string(X5)
<~> ~ xsd_integer(X5) )
| ? [X0] :
( cowlNothing(X0)
| ~ cowlThing(X0) )
| ? [X1] :
( ? [X4,X3,X2] :
( X3 != X4
& X2 != X4
& X2 != X3
& rp(X1,X2)
& rp(X1,X4)
& rp(X1,X3) )
& cc(X1) )
| ? [X6] :
( cc(X6)
& ! [X7,X8] :
( ~ rp(X6,X7)
| X7 = X8
| ~ rp(X6,X8) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ( ! [X5] :
( xsd_string(X5)
<=> ~ xsd_integer(X5) )
& ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( cc(X1)
=> ! [X4,X3,X2] :
( ( rp(X1,X2)
& rp(X1,X4)
& rp(X1,X3) )
=> ( X3 = X4
| X2 = X4
| X2 = X3 ) ) )
& ! [X6] :
( cc(X6)
=> ? [X7,X8] :
( rp(X6,X8)
& rp(X6,X7)
& X7 != X8 ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ( ! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) )
& ! [X3] :
( cc(X3)
=> ! [X4,X5,X6] :
( ( rp(X3,X6)
& rp(X3,X4)
& rp(X3,X5) )
=> ( X4 = X5
| X5 = X6
| X4 = X6 ) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( cc(X3)
=> ? [X4,X5] :
( X4 != X5
& rp(X3,X4)
& rp(X3,X5) ) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
( ! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) )
& ! [X3] :
( cc(X3)
=> ! [X4,X5,X6] :
( ( rp(X3,X6)
& rp(X3,X4)
& rp(X3,X5) )
=> ( X4 = X5
| X5 = X6
| X4 = X6 ) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( cc(X3)
=> ? [X4,X5] :
( X4 != X5
& rp(X3,X4)
& rp(X3,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f149,plain,
( spl10_1
| spl10_12
| ~ spl10_6
| spl10_7 ),
inference(avatar_split_clause,[],[f144,f118,f114,f146,f91]) ).
fof(f144,plain,
! [X3,X4] :
( ~ rp(sK7,X4)
| ~ rp(sK7,X3)
| ~ cowlThing(sK6)
| X3 = X4
| xsd_integer(sK5)
| sP0 ),
inference(subsumption_resolution,[],[f143,f79]) ).
fof(f143,plain,
! [X3,X4] :
( X3 = X4
| ~ cowlThing(sK6)
| xsd_integer(sK5)
| ~ xsd_string(sK5)
| sP0
| ~ rp(sK7,X3)
| ~ rp(sK7,X4) ),
inference(subsumption_resolution,[],[f71,f78]) ).
fof(f71,plain,
! [X3,X4] :
( ~ cowlThing(sK6)
| xsd_integer(sK5)
| ~ xsd_string(sK5)
| ~ rp(sK7,X4)
| sP0
| cowlNothing(sK6)
| X3 = X4
| ~ rp(sK7,X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f142,plain,
( ~ spl10_1
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f62,f139,f91]) ).
fof(f62,plain,
( sK4 != sK3
| ~ sP0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f137,plain,
( spl10_1
| spl10_5
| ~ spl10_6
| spl10_10 ),
inference(avatar_split_clause,[],[f132,f134,f114,f110,f91]) ).
fof(f132,plain,
( cc(sK7)
| ~ cowlThing(sK6)
| xsd_string(sK5)
| sP0 ),
inference(subsumption_resolution,[],[f131,f79]) ).
fof(f131,plain,
( ~ xsd_integer(sK5)
| sP0
| ~ cowlThing(sK6)
| xsd_string(sK5)
| cc(sK7) ),
inference(subsumption_resolution,[],[f70,f78]) ).
fof(f70,plain,
( xsd_string(sK5)
| ~ xsd_integer(sK5)
| ~ cowlThing(sK6)
| cc(sK7)
| cowlNothing(sK6)
| sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f130,plain,
( ~ spl10_1
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f66,f127,f91]) ).
fof(f66,plain,
( sK4 != sK2
| ~ sP0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f125,plain,
( ~ spl10_1
| spl10_8 ),
inference(avatar_split_clause,[],[f67,f122,f91]) ).
fof(f67,plain,
( rp(sK1,sK3)
| ~ sP0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f120,plain,
( spl10_4
| spl10_1
| spl10_5
| ~ spl10_6
| spl10_7 ),
inference(avatar_split_clause,[],[f104,f118,f114,f110,f91,f106]) ).
fof(f104,plain,
! [X3,X4] :
( ~ rp(sK7,X4)
| ~ cowlThing(sK6)
| xsd_string(sK5)
| X3 = X4
| sP0
| ~ rp(sK7,X3)
| cowlNothing(sK6) ),
inference(subsumption_resolution,[],[f69,f79]) ).
fof(f69,plain,
! [X3,X4] :
( xsd_string(sK5)
| X3 = X4
| ~ rp(sK7,X4)
| ~ cowlThing(sK6)
| sP0
| cowlNothing(sK6)
| ~ xsd_integer(sK5)
| ~ rp(sK7,X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f103,plain,
( ~ spl10_1
| spl10_3 ),
inference(avatar_split_clause,[],[f65,f100,f91]) ).
fof(f65,plain,
( rp(sK1,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f98,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f63,f95,f91]) ).
fof(f63,plain,
( sK3 != sK2
| ~ sP0 ),
inference(cnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS144+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
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:46:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (3294)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (3309)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (3315)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (3297)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (3295)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (3310)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (3293)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (3315)First to succeed.
% 0.19/0.52 % (3290)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 (2999ds/191324Mi)
% 0.19/0.52 % (3291)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (3303)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (3291)Refutation not found, incomplete strategy% (3291)------------------------------
% 0.19/0.53 % (3291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (3291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (3291)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (3291)Memory used [KB]: 5500
% 0.19/0.53 % (3291)Time elapsed: 0.123 s
% 0.19/0.53 % (3291)Instructions burned: 2 (million)
% 0.19/0.53 % (3291)------------------------------
% 0.19/0.53 % (3291)------------------------------
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (3318)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (3296)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (3319)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (3311)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (3315)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (3315)------------------------------
% 0.19/0.53 % (3315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (3315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (3315)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (3315)Memory used [KB]: 5628
% 0.19/0.53 % (3315)Time elapsed: 0.079 s
% 0.19/0.53 % (3315)Instructions burned: 5 (million)
% 0.19/0.53 % (3315)------------------------------
% 0.19/0.53 % (3315)------------------------------
% 0.19/0.53 % (3289)Success in time 0.182 s
%------------------------------------------------------------------------------