TSTP Solution File: KRS145+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS145+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 : Sun May 5 07:19:49 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 12
% Syntax : Number of formulae : 141 ( 7 unt; 0 def)
% Number of atoms : 591 ( 226 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 633 ( 183 ~; 325 |; 102 &)
% ( 5 <=>; 15 =>; 0 <=; 3 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 159 ( 108 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f373,plain,
$false,
inference(subsumption_resolution,[],[f370,f371]) ).
fof(f371,plain,
~ xsd_string(sK3),
inference(unit_resulting_resolution,[],[f368,f73]) ).
fof(f73,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f368,plain,
xsd_integer(sK3),
inference(unit_resulting_resolution,[],[f367,f91]) ).
fof(f91,plain,
( ~ sP1
| xsd_integer(sK3) ),
inference(duplicate_literal_removal,[],[f90]) ).
fof(f90,plain,
( xsd_integer(sK3)
| ~ sP1
| xsd_integer(sK3) ),
inference(resolution,[],[f57,f74]) ).
fof(f74,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f57,plain,
( ~ xsd_string(sK3)
| xsd_integer(sK3)
| ~ sP1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( ( xsd_integer(sK3)
| ~ xsd_string(sK3) )
& ( ~ xsd_integer(sK3)
| xsd_string(sK3) ) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f41,f42]) ).
fof(f42,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK3)
| ~ xsd_string(sK3) )
& ( ~ xsd_integer(sK3)
| xsd_string(sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ~ sP1 ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
( ? [X6] :
( ( xsd_integer(X6)
| ~ xsd_string(X6) )
& ( ~ xsd_integer(X6)
| xsd_string(X6) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ? [X6] :
( xsd_string(X6)
<~> ~ xsd_integer(X6) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f367,plain,
sP1,
inference(subsumption_resolution,[],[f366,f113]) ).
fof(f113,plain,
( sK5(sK7) != sK4(sK7)
| sP1 ),
inference(resolution,[],[f110,f61]) ).
fof(f61,plain,
! [X0] :
( ~ sP0(X0)
| sK4(X0) != sK5(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( sK5(X0) != sK6(X0)
& sK4(X0) != sK6(X0)
& sK4(X0) != sK5(X0)
& rp(X0,sK6(X0))
& rp(X0,sK5(X0))
& rp(X0,sK4(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f44,f45]) ).
fof(f45,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rp(X0,X3)
& rp(X0,X2)
& rp(X0,X1) )
=> ( sK5(X0) != sK6(X0)
& sK4(X0) != sK6(X0)
& sK4(X0) != sK5(X0)
& rp(X0,sK6(X0))
& rp(X0,sK5(X0))
& rp(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rp(X0,X3)
& rp(X0,X2)
& rp(X0,X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rp(X0,X3)
& rp(X0,X2)
& rp(X0,X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f110,plain,
( sP0(sK7)
| sP1 ),
inference(subsumption_resolution,[],[f108,f97]) ).
fof(f97,plain,
( sK10(sK7) != sK9(sK7)
| sP1 ),
inference(resolution,[],[f70,f94]) ).
fof(f94,plain,
( sP2(sK7)
| sP1 ),
inference(resolution,[],[f93,f72]) ).
fof(f72,plain,
! [X0] :
( ~ cc(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( sP2(X0)
& ! [X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| ~ rp(X0,X3)
| ~ rp(X0,X2)
| ~ rp(X0,X1) ) )
| ~ cc(X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( sP2(X0)
& ! [X3,X4,X5] :
( X4 = X5
| X3 = X5
| X3 = X4
| ~ rp(X0,X5)
| ~ rp(X0,X4)
| ~ rp(X0,X3) ) )
| ~ cc(X0) ),
inference(definition_folding,[],[f20,f38]) ).
fof(f38,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f20,plain,
! [X0] :
( ( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
& ! [X3,X4,X5] :
( X4 = X5
| X3 = X5
| X3 = X4
| ~ rp(X0,X5)
| ~ rp(X0,X4)
| ~ rp(X0,X3) ) )
| ~ cc(X0) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
& ! [X3,X4,X5] :
( X4 = X5
| X3 = X5
| X3 = X4
| ~ rp(X0,X5)
| ~ rp(X0,X4)
| ~ rp(X0,X3) ) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( cc(X0)
=> ( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
& ! [X3,X4,X5] :
( ( rp(X0,X5)
& rp(X0,X4)
& rp(X0,X3) )
=> ( X4 = X5
| X3 = X5
| X3 = X4 ) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3] :
( cc(X3)
=> ( ? [X4,X5] :
( X4 != X5
& rp(X3,X5)
& rp(X3,X4) )
& ! [X4,X5,X6] :
( ( rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
=> ( X5 = X6
| X4 = X6
| X4 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f93,plain,
( cc(sK7)
| sP1 ),
inference(subsumption_resolution,[],[f92,f67]) ).
fof(f67,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,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(f92,plain,
( sP1
| cowlNothing(sK8)
| cc(sK7) ),
inference(resolution,[],[f64,f66]) ).
fof(f66,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f14]) ).
fof(f64,plain,
( ~ cowlThing(sK8)
| sP1
| cowlNothing(sK8)
| cc(sK7) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( ( sP0(sK7)
| ! [X1,X2] :
( X1 = X2
| ~ rp(sK7,X2)
| ~ rp(sK7,X1) ) )
& cc(sK7) )
| sP1
| cowlNothing(sK8)
| ~ cowlThing(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f47,f49,f48]) ).
fof(f48,plain,
( ? [X0] :
( ( sP0(X0)
| ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) ) )
& cc(X0) )
=> ( ( sP0(sK7)
| ! [X2,X1] :
( X1 = X2
| ~ rp(sK7,X2)
| ~ rp(sK7,X1) ) )
& cc(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X3] :
( cowlNothing(X3)
| ~ cowlThing(X3) )
=> ( cowlNothing(sK8)
| ~ cowlThing(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ? [X0] :
( ( sP0(X0)
| ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) ) )
& cc(X0) )
| sP1
| ? [X3] :
( cowlNothing(X3)
| ~ cowlThing(X3) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
( ? [X0] :
( ( sP0(X0)
| ! [X4,X5] :
( X4 = X5
| ~ rp(X0,X5)
| ~ rp(X0,X4) ) )
& cc(X0) )
| sP1
| ? [X7] :
( cowlNothing(X7)
| ~ cowlThing(X7) ) ),
inference(definition_folding,[],[f18,f36,f35]) ).
fof(f18,plain,
( ? [X0] :
( ( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rp(X0,X3)
& rp(X0,X2)
& rp(X0,X1) )
| ! [X4,X5] :
( X4 = X5
| ~ rp(X0,X5)
| ~ rp(X0,X4) ) )
& cc(X0) )
| ? [X6] :
( xsd_string(X6)
<~> ~ xsd_integer(X6) )
| ? [X7] :
( cowlNothing(X7)
| ~ cowlThing(X7) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
( ? [X0] :
( ( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rp(X0,X3)
& rp(X0,X2)
& rp(X0,X1) )
| ! [X4,X5] :
( X4 = X5
| ~ rp(X0,X5)
| ~ rp(X0,X4) ) )
& cc(X0) )
| ? [X6] :
( xsd_string(X6)
<~> ~ xsd_integer(X6) )
| ? [X7] :
( cowlNothing(X7)
| ~ cowlThing(X7) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
~ ( ! [X0] :
( cc(X0)
=> ( ! [X1,X2,X3] :
( ( rp(X0,X3)
& rp(X0,X2)
& rp(X0,X1) )
=> ( X2 = X3
| X1 = X3
| X1 = X2 ) )
& ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) ) ) )
& ! [X6] :
( xsd_string(X6)
<=> ~ xsd_integer(X6) )
& ! [X7] :
( ~ cowlNothing(X7)
& cowlThing(X7) ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ( ! [X3] :
( cc(X3)
=> ( ! [X4,X5,X6] :
( ( rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
=> ( X5 = X6
| X4 = X6
| X4 = X5 ) )
& ? [X4,X5] :
( X4 != X5
& rp(X3,X5)
& rp(X3,X4) ) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
( ! [X3] :
( cc(X3)
=> ( ! [X4,X5,X6] :
( ( rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
=> ( X5 = X6
| X4 = X6
| X4 = X5 ) )
& ? [X4,X5] :
( X4 != X5
& rp(X3,X5)
& rp(X3,X4) ) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f70,plain,
! [X0] :
( ~ sP2(X0)
| sK9(X0) != sK10(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( sK9(X0) != sK10(X0)
& rp(X0,sK10(X0))
& rp(X0,sK9(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f51,f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
=> ( sK9(X0) != sK10(X0)
& rp(X0,sK10(X0))
& rp(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f38]) ).
fof(f108,plain,
( sP0(sK7)
| sK10(sK7) = sK9(sK7)
| sP1 ),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f107,plain,
( sP0(sK7)
| sK10(sK7) = sK9(sK7)
| sP1
| sP1 ),
inference(resolution,[],[f103,f96]) ).
fof(f96,plain,
( rp(sK7,sK9(sK7))
| sP1 ),
inference(resolution,[],[f94,f68]) ).
fof(f68,plain,
! [X0] :
( ~ sP2(X0)
| rp(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f103,plain,
! [X0] :
( ~ rp(sK7,X0)
| sP0(sK7)
| sK10(sK7) = X0
| sP1 ),
inference(subsumption_resolution,[],[f102,f66]) ).
fof(f102,plain,
! [X0] :
( sK10(sK7) = X0
| sP0(sK7)
| ~ rp(sK7,X0)
| sP1
| ~ cowlThing(sK8) ),
inference(subsumption_resolution,[],[f101,f67]) ).
fof(f101,plain,
! [X0] :
( sK10(sK7) = X0
| sP0(sK7)
| ~ rp(sK7,X0)
| sP1
| cowlNothing(sK8)
| ~ cowlThing(sK8) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f98,plain,
! [X0] :
( sK10(sK7) = X0
| sP0(sK7)
| ~ rp(sK7,X0)
| sP1
| cowlNothing(sK8)
| ~ cowlThing(sK8)
| sP1 ),
inference(resolution,[],[f65,f95]) ).
fof(f95,plain,
( rp(sK7,sK10(sK7))
| sP1 ),
inference(resolution,[],[f94,f69]) ).
fof(f69,plain,
! [X0] :
( ~ sP2(X0)
| rp(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f65,plain,
! [X2,X1] :
( ~ rp(sK7,X2)
| X1 = X2
| sP0(sK7)
| ~ rp(sK7,X1)
| sP1
| cowlNothing(sK8)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f366,plain,
( sP1
| sK5(sK7) = sK4(sK7) ),
inference(subsumption_resolution,[],[f365,f345]) ).
fof(f345,plain,
( sK9(sK7) != sK4(sK7)
| sP1 ),
inference(subsumption_resolution,[],[f338,f111]) ).
fof(f111,plain,
( sK5(sK7) != sK6(sK7)
| sP1 ),
inference(resolution,[],[f110,f63]) ).
fof(f63,plain,
! [X0] :
( ~ sP0(X0)
| sK5(X0) != sK6(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f338,plain,
( sK9(sK7) != sK4(sK7)
| sP1
| sK5(sK7) = sK6(sK7) ),
inference(superposition,[],[f97,f331]) ).
fof(f331,plain,
( sK10(sK7) = sK4(sK7)
| sK5(sK7) = sK6(sK7) ),
inference(duplicate_literal_removal,[],[f320]) ).
fof(f320,plain,
( sK5(sK7) = sK6(sK7)
| sK10(sK7) = sK4(sK7)
| sK10(sK7) = sK4(sK7) ),
inference(superposition,[],[f318,f274]) ).
fof(f274,plain,
( sK6(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7) ),
inference(subsumption_resolution,[],[f273,f266]) ).
fof(f266,plain,
( xsd_integer(sK3)
| sK6(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7) ),
inference(resolution,[],[f264,f91]) ).
fof(f264,plain,
( sP1
| sK10(sK7) = sK4(sK7)
| sK6(sK7) = sK10(sK7) ),
inference(subsumption_resolution,[],[f263,f112]) ).
fof(f112,plain,
( sK6(sK7) != sK4(sK7)
| sP1 ),
inference(resolution,[],[f110,f62]) ).
fof(f62,plain,
! [X0] :
( ~ sP0(X0)
| sK4(X0) != sK6(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f263,plain,
( sK6(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7)
| sK6(sK7) = sK4(sK7)
| sP1 ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f254,plain,
( sK6(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7)
| sK6(sK7) = sK4(sK7)
| sP1
| sP1 ),
inference(resolution,[],[f251,f116]) ).
fof(f116,plain,
( rp(sK7,sK4(sK7))
| sP1 ),
inference(resolution,[],[f110,f58]) ).
fof(f58,plain,
! [X0] :
( ~ sP0(X0)
| rp(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f251,plain,
! [X0] :
( ~ rp(sK7,X0)
| sK6(sK7) = sK10(sK7)
| sK10(sK7) = X0
| sK6(sK7) = X0
| sP1 ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sK6(sK7) = X0
| sK6(sK7) = sK10(sK7)
| sK10(sK7) = X0
| ~ rp(sK7,X0)
| sP1
| sP1 ),
inference(resolution,[],[f148,f114]) ).
fof(f114,plain,
( rp(sK7,sK6(sK7))
| sP1 ),
inference(resolution,[],[f110,f60]) ).
fof(f60,plain,
! [X0] :
( ~ sP0(X0)
| rp(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f148,plain,
! [X0,X1] :
( ~ rp(sK7,X1)
| X0 = X1
| sK10(sK7) = X1
| sK10(sK7) = X0
| ~ rp(sK7,X0)
| sP1 ),
inference(subsumption_resolution,[],[f143,f93]) ).
fof(f143,plain,
! [X0,X1] :
( sK10(sK7) = X0
| X0 = X1
| sK10(sK7) = X1
| ~ rp(sK7,X1)
| ~ rp(sK7,X0)
| ~ cc(sK7)
| sP1 ),
inference(resolution,[],[f71,f95]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ rp(X0,X3)
| X1 = X3
| X1 = X2
| X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f273,plain,
( sK10(sK7) = sK4(sK7)
| sK6(sK7) = sK10(sK7)
| ~ xsd_integer(sK3) ),
inference(resolution,[],[f269,f73]) ).
fof(f269,plain,
( xsd_string(sK3)
| sK10(sK7) = sK4(sK7)
| sK6(sK7) = sK10(sK7) ),
inference(subsumption_resolution,[],[f268,f264]) ).
fof(f268,plain,
( sK6(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7)
| xsd_string(sK3)
| ~ sP1 ),
inference(resolution,[],[f266,f56]) ).
fof(f56,plain,
( ~ xsd_integer(sK3)
| xsd_string(sK3)
| ~ sP1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f318,plain,
( sK5(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7) ),
inference(subsumption_resolution,[],[f317,f308]) ).
fof(f308,plain,
( xsd_integer(sK3)
| sK5(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7) ),
inference(resolution,[],[f307,f91]) ).
fof(f307,plain,
( sP1
| sK10(sK7) = sK4(sK7)
| sK5(sK7) = sK10(sK7) ),
inference(subsumption_resolution,[],[f306,f113]) ).
fof(f306,plain,
( sK5(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7)
| sK5(sK7) = sK4(sK7)
| sP1 ),
inference(duplicate_literal_removal,[],[f297]) ).
fof(f297,plain,
( sK5(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7)
| sK5(sK7) = sK4(sK7)
| sP1
| sP1 ),
inference(resolution,[],[f252,f116]) ).
fof(f252,plain,
! [X0] :
( ~ rp(sK7,X0)
| sK5(sK7) = sK10(sK7)
| sK10(sK7) = X0
| sK5(sK7) = X0
| sP1 ),
inference(duplicate_literal_removal,[],[f245]) ).
fof(f245,plain,
! [X0] :
( sK5(sK7) = X0
| sK5(sK7) = sK10(sK7)
| sK10(sK7) = X0
| ~ rp(sK7,X0)
| sP1
| sP1 ),
inference(resolution,[],[f148,f115]) ).
fof(f115,plain,
( rp(sK7,sK5(sK7))
| sP1 ),
inference(resolution,[],[f110,f59]) ).
fof(f59,plain,
! [X0] :
( ~ sP0(X0)
| rp(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f317,plain,
( sK10(sK7) = sK4(sK7)
| sK5(sK7) = sK10(sK7)
| ~ xsd_integer(sK3) ),
inference(resolution,[],[f315,f73]) ).
fof(f315,plain,
( xsd_string(sK3)
| sK10(sK7) = sK4(sK7)
| sK5(sK7) = sK10(sK7) ),
inference(subsumption_resolution,[],[f314,f307]) ).
fof(f314,plain,
( sK5(sK7) = sK10(sK7)
| sK10(sK7) = sK4(sK7)
| xsd_string(sK3)
| ~ sP1 ),
inference(resolution,[],[f308,f56]) ).
fof(f365,plain,
( sP1
| sK9(sK7) = sK4(sK7)
| sK5(sK7) = sK4(sK7) ),
inference(trivial_inequality_removal,[],[f363]) ).
fof(f363,plain,
( sK5(sK7) != sK5(sK7)
| sP1
| sK9(sK7) = sK4(sK7)
| sK5(sK7) = sK4(sK7) ),
inference(superposition,[],[f361,f194]) ).
fof(f194,plain,
( sK5(sK7) = sK9(sK7)
| sK9(sK7) = sK4(sK7)
| sK5(sK7) = sK4(sK7) ),
inference(superposition,[],[f193,f186]) ).
fof(f186,plain,
( sK5(sK7) = sK10(sK7)
| sK5(sK7) = sK9(sK7) ),
inference(subsumption_resolution,[],[f185,f171]) ).
fof(f171,plain,
( xsd_integer(sK3)
| sK5(sK7) = sK9(sK7)
| sK5(sK7) = sK10(sK7) ),
inference(resolution,[],[f168,f91]) ).
fof(f168,plain,
( sP1
| sK5(sK7) = sK10(sK7)
| sK5(sK7) = sK9(sK7) ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f161,plain,
( sK5(sK7) = sK9(sK7)
| sK5(sK7) = sK10(sK7)
| sP1
| sP1 ),
inference(resolution,[],[f159,f115]) ).
fof(f159,plain,
! [X0] :
( ~ rp(sK7,X0)
| sK9(sK7) = X0
| sK10(sK7) = X0
| sP1 ),
inference(subsumption_resolution,[],[f154,f97]) ).
fof(f154,plain,
! [X0] :
( sK10(sK7) = X0
| sK10(sK7) = sK9(sK7)
| sK9(sK7) = X0
| ~ rp(sK7,X0)
| sP1 ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f153,plain,
! [X0] :
( sK10(sK7) = X0
| sK10(sK7) = sK9(sK7)
| sK9(sK7) = X0
| ~ rp(sK7,X0)
| sP1
| sP1 ),
inference(resolution,[],[f147,f95]) ).
fof(f147,plain,
! [X0,X1] :
( ~ rp(sK7,X1)
| X0 = X1
| sK9(sK7) = X1
| sK9(sK7) = X0
| ~ rp(sK7,X0)
| sP1 ),
inference(subsumption_resolution,[],[f142,f93]) ).
fof(f142,plain,
! [X0,X1] :
( sK9(sK7) = X0
| X0 = X1
| sK9(sK7) = X1
| ~ rp(sK7,X1)
| ~ rp(sK7,X0)
| ~ cc(sK7)
| sP1 ),
inference(resolution,[],[f71,f96]) ).
fof(f185,plain,
( sK5(sK7) = sK10(sK7)
| sK5(sK7) = sK9(sK7)
| ~ xsd_integer(sK3) ),
inference(resolution,[],[f176,f73]) ).
fof(f176,plain,
( xsd_string(sK3)
| sK5(sK7) = sK10(sK7)
| sK5(sK7) = sK9(sK7) ),
inference(subsumption_resolution,[],[f175,f168]) ).
fof(f175,plain,
( sK5(sK7) = sK9(sK7)
| sK5(sK7) = sK10(sK7)
| xsd_string(sK3)
| ~ sP1 ),
inference(resolution,[],[f171,f56]) ).
fof(f193,plain,
( sK10(sK7) = sK4(sK7)
| sK9(sK7) = sK4(sK7) ),
inference(subsumption_resolution,[],[f192,f172]) ).
fof(f172,plain,
( xsd_integer(sK3)
| sK9(sK7) = sK4(sK7)
| sK10(sK7) = sK4(sK7) ),
inference(resolution,[],[f169,f91]) ).
fof(f169,plain,
( sP1
| sK10(sK7) = sK4(sK7)
| sK9(sK7) = sK4(sK7) ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f160,plain,
( sK9(sK7) = sK4(sK7)
| sK10(sK7) = sK4(sK7)
| sP1
| sP1 ),
inference(resolution,[],[f159,f116]) ).
fof(f192,plain,
( sK10(sK7) = sK4(sK7)
| sK9(sK7) = sK4(sK7)
| ~ xsd_integer(sK3) ),
inference(resolution,[],[f178,f73]) ).
fof(f178,plain,
( xsd_string(sK3)
| sK10(sK7) = sK4(sK7)
| sK9(sK7) = sK4(sK7) ),
inference(subsumption_resolution,[],[f177,f169]) ).
fof(f177,plain,
( sK9(sK7) = sK4(sK7)
| sK10(sK7) = sK4(sK7)
| xsd_string(sK3)
| ~ sP1 ),
inference(resolution,[],[f172,f56]) ).
fof(f361,plain,
( sK5(sK7) != sK9(sK7)
| sP1 ),
inference(subsumption_resolution,[],[f355,f112]) ).
fof(f355,plain,
( sK5(sK7) != sK9(sK7)
| sP1
| sK6(sK7) = sK4(sK7) ),
inference(superposition,[],[f97,f344]) ).
fof(f344,plain,
( sK5(sK7) = sK10(sK7)
| sK6(sK7) = sK4(sK7) ),
inference(subsumption_resolution,[],[f335,f296]) ).
fof(f296,plain,
( sK5(sK7) != sK6(sK7)
| sK5(sK7) = sK10(sK7) ),
inference(equality_factoring,[],[f289]) ).
fof(f289,plain,
( sK6(sK7) = sK10(sK7)
| sK5(sK7) = sK10(sK7) ),
inference(subsumption_resolution,[],[f288,f267]) ).
fof(f267,plain,
( xsd_integer(sK3)
| sK6(sK7) = sK10(sK7)
| sK5(sK7) = sK10(sK7) ),
inference(resolution,[],[f265,f91]) ).
fof(f265,plain,
( sP1
| sK5(sK7) = sK10(sK7)
| sK6(sK7) = sK10(sK7) ),
inference(subsumption_resolution,[],[f262,f111]) ).
fof(f262,plain,
( sK6(sK7) = sK10(sK7)
| sK5(sK7) = sK10(sK7)
| sK5(sK7) = sK6(sK7)
| sP1 ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f255,plain,
( sK6(sK7) = sK10(sK7)
| sK5(sK7) = sK10(sK7)
| sK5(sK7) = sK6(sK7)
| sP1
| sP1 ),
inference(resolution,[],[f251,f115]) ).
fof(f288,plain,
( sK5(sK7) = sK10(sK7)
| sK6(sK7) = sK10(sK7)
| ~ xsd_integer(sK3) ),
inference(resolution,[],[f271,f73]) ).
fof(f271,plain,
( xsd_string(sK3)
| sK5(sK7) = sK10(sK7)
| sK6(sK7) = sK10(sK7) ),
inference(subsumption_resolution,[],[f270,f265]) ).
fof(f270,plain,
( sK6(sK7) = sK10(sK7)
| sK5(sK7) = sK10(sK7)
| xsd_string(sK3)
| ~ sP1 ),
inference(resolution,[],[f267,f56]) ).
fof(f335,plain,
( sK6(sK7) = sK4(sK7)
| sK5(sK7) = sK6(sK7)
| sK5(sK7) = sK10(sK7) ),
inference(superposition,[],[f331,f289]) ).
fof(f370,plain,
xsd_string(sK3),
inference(unit_resulting_resolution,[],[f367,f368,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KRS145+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n009.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 : Fri May 3 19:52:37 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (25839)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (25842)WARNING: value z3 for option sas not known
% 0.13/0.37 % (25842)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (25844)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (25841)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (25845)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (25843)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (25846)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (25840)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (25846)First to succeed.
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (25842)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (25846)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25839"
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [5]
% 0.13/0.38 % (25846)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (25846)------------------------------
% 0.13/0.38 % (25846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (25846)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (25846)Memory used [KB]: 901
% 0.13/0.38 % (25846)Time elapsed: 0.010 s
% 0.13/0.38 % (25846)Instructions burned: 18 (million)
% 0.13/0.38 % (25839)Success in time 0.025 s
%------------------------------------------------------------------------------