TSTP Solution File: SET725+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET725+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n011.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 : Thu Aug 31 15:45:23 EDT 2023
% Result : Theorem 9.78s 1.77s
% Output : Refutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 18
% Syntax : Number of formulae : 166 ( 12 unt; 0 def)
% Number of atoms : 652 ( 47 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 757 ( 271 ~; 294 |; 137 &)
% ( 18 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-5 aty)
% Number of variables : 428 (; 381 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47967,plain,
$false,
inference(avatar_sat_refutation,[],[f248,f10115,f47966]) ).
fof(f47966,plain,
spl20_1,
inference(avatar_contradiction_clause,[],[f47965]) ).
fof(f47965,plain,
( $false
| spl20_1 ),
inference(subsumption_resolution,[],[f47953,f243]) ).
fof(f243,plain,
( ~ injective(sK0,sK3,sK4)
| spl20_1 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl20_1
<=> injective(sK0,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f47953,plain,
( injective(sK0,sK3,sK4)
| spl20_1 ),
inference(trivial_inequality_removal,[],[f47952]) ).
fof(f47952,plain,
( sK9(sK0,sK3,sK4) != sK9(sK0,sK3,sK4)
| injective(sK0,sK3,sK4)
| spl20_1 ),
inference(superposition,[],[f160,f47597]) ).
fof(f47597,plain,
( sK10(sK0,sK3,sK4) = sK9(sK0,sK3,sK4)
| spl20_1 ),
inference(backward_demodulation,[],[f47045,f47047]) ).
fof(f47047,plain,
( sK9(sK0,sK3,sK4) = sK12(sK1,sK3,sK11(sK0,sK3,sK4))
| spl20_1 ),
inference(subsumption_resolution,[],[f47046,f10120]) ).
fof(f10120,plain,
( member(sK9(sK0,sK3,sK4),sK3)
| spl20_1 ),
inference(resolution,[],[f243,f155]) ).
fof(f155,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| member(sK9(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
| ( sK9(X0,X1,X2) != sK10(X0,X1,X2)
& apply(X0,sK10(X0,X1,X2),sK11(X0,X1,X2))
& apply(X0,sK9(X0,X1,X2),sK11(X0,X1,X2))
& member(sK11(X0,X1,X2),X2)
& member(sK10(X0,X1,X2),X1)
& member(sK9(X0,X1,X2),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f70,f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X4,X5)
& apply(X0,X3,X5)
& member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( sK9(X0,X1,X2) != sK10(X0,X1,X2)
& apply(X0,sK10(X0,X1,X2),sK11(X0,X1,X2))
& apply(X0,sK9(X0,X1,X2),sK11(X0,X1,X2))
& member(sK11(X0,X1,X2),X2)
& member(sK10(X0,X1,X2),X1)
& member(sK9(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X4,X5)
& apply(X0,X3,X5)
& member(X5,X2)
& member(X4,X1)
& member(X3,X1) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X4,X5)
& apply(X0,X3,X5)
& member(X5,X2)
& member(X4,X1)
& member(X3,X1) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( ( apply(X0,X4,X5)
& apply(X0,X3,X5) )
=> X3 = X4 ) )
=> injective(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( ( apply(X0,X4,X5)
& apply(X0,X3,X5) )
=> X3 = X4 ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X5,X0,X1] :
( injective(X5,X0,X1)
<=> ! [X12,X13,X4] :
( ( member(X4,X1)
& member(X13,X0)
& member(X12,X0) )
=> ( ( apply(X5,X13,X4)
& apply(X5,X12,X4) )
=> X12 = X13 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MKYV995QOl/Vampire---4.8_15518',injective) ).
fof(f47046,plain,
( sK9(sK0,sK3,sK4) = sK12(sK1,sK3,sK11(sK0,sK3,sK4))
| ~ member(sK9(sK0,sK3,sK4),sK3)
| spl20_1 ),
inference(subsumption_resolution,[],[f47023,f10118]) ).
fof(f10118,plain,
( member(sK11(sK0,sK3,sK4),sK4)
| spl20_1 ),
inference(resolution,[],[f243,f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| member(sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f47023,plain,
( ~ member(sK11(sK0,sK3,sK4),sK4)
| sK9(sK0,sK3,sK4) = sK12(sK1,sK3,sK11(sK0,sK3,sK4))
| ~ member(sK9(sK0,sK3,sK4),sK3)
| spl20_1 ),
inference(resolution,[],[f32609,f38994]) ).
fof(f38994,plain,
( apply(sK1,sK11(sK0,sK3,sK4),sK9(sK0,sK3,sK4))
| spl20_1 ),
inference(subsumption_resolution,[],[f38989,f10120]) ).
fof(f38989,plain,
( apply(sK1,sK11(sK0,sK3,sK4),sK9(sK0,sK3,sK4))
| ~ member(sK9(sK0,sK3,sK4),sK3)
| spl20_1 ),
inference(superposition,[],[f38975,f37599]) ).
fof(f37599,plain,
( sK11(sK0,sK3,sK4) = sK12(sK0,sK4,sK9(sK0,sK3,sK4))
| spl20_1 ),
inference(subsumption_resolution,[],[f37598,f10118]) ).
fof(f37598,plain,
( sK11(sK0,sK3,sK4) = sK12(sK0,sK4,sK9(sK0,sK3,sK4))
| ~ member(sK11(sK0,sK3,sK4),sK4)
| spl20_1 ),
inference(subsumption_resolution,[],[f37579,f10120]) ).
fof(f37579,plain,
( ~ member(sK9(sK0,sK3,sK4),sK3)
| sK11(sK0,sK3,sK4) = sK12(sK0,sK4,sK9(sK0,sK3,sK4))
| ~ member(sK11(sK0,sK3,sK4),sK4)
| spl20_1 ),
inference(resolution,[],[f32567,f10117]) ).
fof(f10117,plain,
( apply(sK0,sK9(sK0,sK3,sK4),sK11(sK0,sK3,sK4))
| spl20_1 ),
inference(resolution,[],[f243,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| apply(X0,sK9(X0,X1,X2),sK11(X0,X1,X2)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f32567,plain,
! [X0,X1] :
( ~ apply(sK0,X1,X0)
| ~ member(X1,sK3)
| sK12(sK0,sK4,X1) = X0
| ~ member(X0,sK4) ),
inference(duplicate_literal_removal,[],[f32566]) ).
fof(f32566,plain,
! [X0,X1] :
( ~ member(X0,sK4)
| ~ member(X1,sK3)
| sK12(sK0,sK4,X1) = X0
| ~ member(X1,sK3)
| ~ apply(sK0,X1,X0) ),
inference(resolution,[],[f4234,f132]) ).
fof(f132,plain,
maps(sK0,sK3,sK4),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ~ one_to_one(sK0,sK3,sK4)
& identity(compose_function(sK0,sK2,sK4,sK3,sK4),sK4)
& identity(compose_function(sK1,sK0,sK3,sK4,sK3),sK3)
& maps(sK2,sK4,sK3)
& maps(sK1,sK4,sK3)
& maps(sK0,sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f64,f79]) ).
fof(f79,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ one_to_one(X0,X3,X4)
& identity(compose_function(X0,X2,X4,X3,X4),X4)
& identity(compose_function(X1,X0,X3,X4,X3),X3)
& maps(X2,X4,X3)
& maps(X1,X4,X3)
& maps(X0,X3,X4) )
=> ( ~ one_to_one(sK0,sK3,sK4)
& identity(compose_function(sK0,sK2,sK4,sK3,sK4),sK4)
& identity(compose_function(sK1,sK0,sK3,sK4,sK3),sK3)
& maps(sK2,sK4,sK3)
& maps(sK1,sK4,sK3)
& maps(sK0,sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0,X1,X2,X3,X4] :
( ~ one_to_one(X0,X3,X4)
& identity(compose_function(X0,X2,X4,X3,X4),X4)
& identity(compose_function(X1,X0,X3,X4,X3),X3)
& maps(X2,X4,X3)
& maps(X1,X4,X3)
& maps(X0,X3,X4) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
? [X0,X1,X2,X3,X4] :
( ~ one_to_one(X0,X3,X4)
& identity(compose_function(X0,X2,X4,X3,X4),X4)
& identity(compose_function(X1,X0,X3,X4,X3),X3)
& maps(X2,X4,X3)
& maps(X1,X4,X3)
& maps(X0,X3,X4) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( identity(compose_function(X0,X2,X4,X3,X4),X4)
& identity(compose_function(X1,X0,X3,X4,X3),X3)
& maps(X2,X4,X3)
& maps(X1,X4,X3)
& maps(X0,X3,X4) )
=> one_to_one(X0,X3,X4) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X8,X0,X1] :
( ( identity(compose_function(X5,X8,X1,X0,X1),X1)
& identity(compose_function(X9,X5,X0,X1,X0),X0)
& maps(X8,X1,X0)
& maps(X9,X1,X0)
& maps(X5,X0,X1) )
=> one_to_one(X5,X0,X1) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X9,X8,X0,X1] :
( ( identity(compose_function(X5,X8,X1,X0,X1),X1)
& identity(compose_function(X9,X5,X0,X1,X0),X0)
& maps(X8,X1,X0)
& maps(X9,X1,X0)
& maps(X5,X0,X1) )
=> one_to_one(X5,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.MKYV995QOl/Vampire---4.8_15518',thII16) ).
fof(f4234,plain,
! [X2,X0,X1] :
( ~ maps(sK0,X2,sK4)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| sK12(sK0,sK4,X0) = X1
| ~ member(X0,X2)
| ~ apply(sK0,X0,X1) ),
inference(duplicate_literal_removal,[],[f4233]) ).
fof(f4233,plain,
! [X2,X0,X1] :
( ~ apply(sK0,X0,X1)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| sK12(sK0,sK4,X0) = X1
| ~ member(X0,X2)
| ~ maps(sK0,X2,sK4)
| ~ member(X0,sK3) ),
inference(resolution,[],[f1190,f413]) ).
fof(f413,plain,
! [X0] :
( member(sK12(sK0,sK4,X0),sK4)
| ~ member(X0,sK3) ),
inference(resolution,[],[f162,f132]) ).
fof(f162,plain,
! [X2,X0,X1,X6] :
( ~ maps(X0,X1,X2)
| ~ member(X6,X1)
| member(sK12(X0,X2,X6),X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ( apply(X0,X6,sK12(X0,X2,X6))
& member(sK12(X0,X2,X6),X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f74,f99]) ).
fof(f99,plain,
! [X0,X2,X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
=> ( apply(X0,X6,sK12(X0,X2,X6))
& member(sK12(X0,X2,X6),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X4) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X4) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X0,X1] :
( maps(X5,X0,X1)
<=> ( ! [X2,X6,X7] :
( ( member(X7,X1)
& member(X6,X1)
& member(X2,X0) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) )
& ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MKYV995QOl/Vampire---4.8_15518',maps) ).
fof(f1190,plain,
! [X8,X6,X7,X5] :
( ~ member(sK12(sK0,X7,X5),sK4)
| ~ apply(sK0,X5,X6)
| ~ member(X6,sK4)
| ~ member(X5,sK3)
| sK12(sK0,X7,X5) = X6
| ~ member(X5,X8)
| ~ maps(sK0,X8,X7) ),
inference(resolution,[],[f665,f163]) ).
fof(f163,plain,
! [X2,X0,X1,X6] :
( apply(X0,X6,sK12(X0,X2,X6))
| ~ member(X6,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f665,plain,
! [X2,X0,X1] :
( ~ apply(sK0,X0,X1)
| ~ apply(sK0,X0,X2)
| ~ member(X1,sK4)
| ~ member(X2,sK4)
| ~ member(X0,sK3)
| X1 = X2 ),
inference(resolution,[],[f164,f132]) ).
fof(f164,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ maps(X0,X1,X2)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1)
| X4 = X5 ),
inference(cnf_transformation,[],[f100]) ).
fof(f38975,plain,
! [X6] :
( apply(sK1,sK12(sK0,sK4,X6),X6)
| ~ member(X6,sK3) ),
inference(duplicate_literal_removal,[],[f38948]) ).
fof(f38948,plain,
! [X6] :
( apply(sK1,sK12(sK0,sK4,X6),X6)
| ~ member(X6,sK3)
| ~ member(X6,sK3) ),
inference(superposition,[],[f2964,f37609]) ).
fof(f37609,plain,
! [X6] :
( sK17(sK1,sK0,sK4,X6,X6) = sK12(sK0,sK4,X6)
| ~ member(X6,sK3) ),
inference(subsumption_resolution,[],[f37592,f2305]) ).
fof(f2305,plain,
! [X0] :
( member(sK17(sK1,sK0,sK4,X0,X0),sK4)
| ~ member(X0,sK3) ),
inference(duplicate_literal_removal,[],[f2304]) ).
fof(f2304,plain,
! [X0] :
( ~ member(X0,sK3)
| ~ member(X0,sK3)
| member(sK17(sK1,sK0,sK4,X0,X0),sK4) ),
inference(resolution,[],[f944,f203]) ).
fof(f203,plain,
identity(sF19,sK3),
inference(definition_folding,[],[f135,f202]) ).
fof(f202,plain,
compose_function(sK1,sK0,sK3,sK4,sK3) = sF19,
introduced(function_definition,[]) ).
fof(f135,plain,
identity(compose_function(sK1,sK0,sK3,sK4,sK3),sK3),
inference(cnf_transformation,[],[f80]) ).
fof(f944,plain,
! [X0,X1] :
( ~ identity(sF19,X1)
| ~ member(X0,sK3)
| ~ member(X0,X1)
| member(sK17(sK1,sK0,sK4,X0,X0),sK4) ),
inference(duplicate_literal_removal,[],[f942]) ).
fof(f942,plain,
! [X0,X1] :
( member(sK17(sK1,sK0,sK4,X0,X0),sK4)
| ~ member(X0,sK3)
| ~ member(X0,sK3)
| ~ member(X0,X1)
| ~ identity(sF19,X1) ),
inference(resolution,[],[f645,f142]) ).
fof(f142,plain,
! [X2,X0,X1] :
( apply(X0,X2,X2)
| ~ member(X2,X1)
| ~ identity(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
| ~ identity(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( identity(X0,X1)
=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( identity(X0,X1)
<=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X0] :
( identity(X5,X0)
<=> ! [X2] :
( member(X2,X0)
=> apply(X5,X2,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MKYV995QOl/Vampire---4.8_15518',identity) ).
fof(f645,plain,
! [X2,X3] :
( ~ apply(sF19,X2,X3)
| member(sK17(sK1,sK0,sK4,X2,X3),sK4)
| ~ member(X3,sK3)
| ~ member(X2,sK3) ),
inference(superposition,[],[f193,f202]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK17(X0,X1,X3,X5,X6),X3)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) ) )
& ( ( apply(X0,sK17(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK17(X0,X1,X3,X5,X6))
& member(sK17(X0,X1,X3,X5,X6),X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f129,f130]) ).
fof(f130,plain,
! [X0,X1,X3,X5,X6] :
( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
=> ( apply(X0,sK17(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK17(X0,X1,X3,X5,X6))
& member(sK17(X0,X1,X3,X5,X6),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) ) )
& ( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) ) )
& ( ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X6,X4)
& member(X5,X2) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X9,X5,X0,X1,X10,X2,X11] :
( ( member(X11,X10)
& member(X2,X0) )
=> ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
<=> ? [X4] :
( apply(X9,X4,X11)
& apply(X5,X2,X4)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MKYV995QOl/Vampire---4.8_15518',compose_function) ).
fof(f37592,plain,
! [X6] :
( ~ member(X6,sK3)
| sK17(sK1,sK0,sK4,X6,X6) = sK12(sK0,sK4,X6)
| ~ member(sK17(sK1,sK0,sK4,X6,X6),sK4) ),
inference(duplicate_literal_removal,[],[f37589]) ).
fof(f37589,plain,
! [X6] :
( ~ member(X6,sK3)
| sK17(sK1,sK0,sK4,X6,X6) = sK12(sK0,sK4,X6)
| ~ member(sK17(sK1,sK0,sK4,X6,X6),sK4)
| ~ member(X6,sK3) ),
inference(resolution,[],[f32567,f2903]) ).
fof(f2903,plain,
! [X0] :
( apply(sK0,X0,sK17(sK1,sK0,sK4,X0,X0))
| ~ member(X0,sK3) ),
inference(duplicate_literal_removal,[],[f2902]) ).
fof(f2902,plain,
! [X0] :
( ~ member(X0,sK3)
| ~ member(X0,sK3)
| apply(sK0,X0,sK17(sK1,sK0,sK4,X0,X0)) ),
inference(resolution,[],[f1113,f203]) ).
fof(f1113,plain,
! [X0,X1] :
( ~ identity(sF19,X1)
| ~ member(X0,sK3)
| ~ member(X0,X1)
| apply(sK0,X0,sK17(sK1,sK0,sK4,X0,X0)) ),
inference(duplicate_literal_removal,[],[f1111]) ).
fof(f1111,plain,
! [X0,X1] :
( apply(sK0,X0,sK17(sK1,sK0,sK4,X0,X0))
| ~ member(X0,sK3)
| ~ member(X0,sK3)
| ~ member(X0,X1)
| ~ identity(sF19,X1) ),
inference(resolution,[],[f699,f142]) ).
fof(f699,plain,
! [X2,X3] :
( ~ apply(sF19,X2,X3)
| apply(sK0,X2,sK17(sK1,sK0,sK4,X2,X3))
| ~ member(X3,sK3)
| ~ member(X2,sK3) ),
inference(superposition,[],[f194,f202]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X1,X5,sK17(X0,X1,X3,X5,X6))
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f2964,plain,
! [X0] :
( apply(sK1,sK17(sK1,sK0,sK4,X0,X0),X0)
| ~ member(X0,sK3) ),
inference(duplicate_literal_removal,[],[f2963]) ).
fof(f2963,plain,
! [X0] :
( ~ member(X0,sK3)
| ~ member(X0,sK3)
| apply(sK1,sK17(sK1,sK0,sK4,X0,X0),X0) ),
inference(resolution,[],[f1164,f203]) ).
fof(f1164,plain,
! [X0,X1] :
( ~ identity(sF19,X1)
| ~ member(X0,sK3)
| ~ member(X0,X1)
| apply(sK1,sK17(sK1,sK0,sK4,X0,X0),X0) ),
inference(duplicate_literal_removal,[],[f1162]) ).
fof(f1162,plain,
! [X0,X1] :
( apply(sK1,sK17(sK1,sK0,sK4,X0,X0),X0)
| ~ member(X0,sK3)
| ~ member(X0,sK3)
| ~ member(X0,X1)
| ~ identity(sF19,X1) ),
inference(resolution,[],[f731,f142]) ).
fof(f731,plain,
! [X2,X3] :
( ~ apply(sF19,X2,X3)
| apply(sK1,sK17(sK1,sK0,sK4,X2,X3),X3)
| ~ member(X3,sK3)
| ~ member(X2,sK3) ),
inference(superposition,[],[f195,f202]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK17(X0,X1,X3,X5,X6),X6)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f32609,plain,
! [X0,X1] :
( ~ apply(sK1,X1,X0)
| ~ member(X1,sK4)
| sK12(sK1,sK3,X1) = X0
| ~ member(X0,sK3) ),
inference(duplicate_literal_removal,[],[f32608]) ).
fof(f32608,plain,
! [X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK4)
| sK12(sK1,sK3,X1) = X0
| ~ member(X1,sK4)
| ~ apply(sK1,X1,X0) ),
inference(resolution,[],[f4278,f133]) ).
fof(f133,plain,
maps(sK1,sK4,sK3),
inference(cnf_transformation,[],[f80]) ).
fof(f4278,plain,
! [X2,X0,X1] :
( ~ maps(sK1,X2,sK3)
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| sK12(sK1,sK3,X0) = X1
| ~ member(X0,X2)
| ~ apply(sK1,X0,X1) ),
inference(duplicate_literal_removal,[],[f4277]) ).
fof(f4277,plain,
! [X2,X0,X1] :
( ~ apply(sK1,X0,X1)
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| sK12(sK1,sK3,X0) = X1
| ~ member(X0,X2)
| ~ maps(sK1,X2,sK3)
| ~ member(X0,sK4) ),
inference(resolution,[],[f1209,f414]) ).
fof(f414,plain,
! [X1] :
( member(sK12(sK1,sK3,X1),sK3)
| ~ member(X1,sK4) ),
inference(resolution,[],[f162,f133]) ).
fof(f1209,plain,
! [X3,X6,X4,X5] :
( ~ member(sK12(sK1,X5,X3),sK3)
| ~ apply(sK1,X3,X4)
| ~ member(X4,sK3)
| ~ member(X3,sK4)
| sK12(sK1,X5,X3) = X4
| ~ member(X3,X6)
| ~ maps(sK1,X6,X5) ),
inference(resolution,[],[f666,f163]) ).
fof(f666,plain,
! [X3,X4,X5] :
( ~ apply(sK1,X3,X4)
| ~ apply(sK1,X3,X5)
| ~ member(X4,sK3)
| ~ member(X5,sK3)
| ~ member(X3,sK4)
| X4 = X5 ),
inference(resolution,[],[f164,f133]) ).
fof(f47045,plain,
( sK10(sK0,sK3,sK4) = sK12(sK1,sK3,sK11(sK0,sK3,sK4))
| spl20_1 ),
inference(subsumption_resolution,[],[f47044,f10119]) ).
fof(f10119,plain,
( member(sK10(sK0,sK3,sK4),sK3)
| spl20_1 ),
inference(resolution,[],[f243,f156]) ).
fof(f156,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| member(sK10(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f47044,plain,
( sK10(sK0,sK3,sK4) = sK12(sK1,sK3,sK11(sK0,sK3,sK4))
| ~ member(sK10(sK0,sK3,sK4),sK3)
| spl20_1 ),
inference(subsumption_resolution,[],[f47022,f10118]) ).
fof(f47022,plain,
( ~ member(sK11(sK0,sK3,sK4),sK4)
| sK10(sK0,sK3,sK4) = sK12(sK1,sK3,sK11(sK0,sK3,sK4))
| ~ member(sK10(sK0,sK3,sK4),sK3)
| spl20_1 ),
inference(resolution,[],[f32609,f38993]) ).
fof(f38993,plain,
( apply(sK1,sK11(sK0,sK3,sK4),sK10(sK0,sK3,sK4))
| spl20_1 ),
inference(subsumption_resolution,[],[f38988,f10119]) ).
fof(f38988,plain,
( apply(sK1,sK11(sK0,sK3,sK4),sK10(sK0,sK3,sK4))
| ~ member(sK10(sK0,sK3,sK4),sK3)
| spl20_1 ),
inference(superposition,[],[f38975,f37597]) ).
fof(f37597,plain,
( sK11(sK0,sK3,sK4) = sK12(sK0,sK4,sK10(sK0,sK3,sK4))
| spl20_1 ),
inference(subsumption_resolution,[],[f37596,f10118]) ).
fof(f37596,plain,
( sK11(sK0,sK3,sK4) = sK12(sK0,sK4,sK10(sK0,sK3,sK4))
| ~ member(sK11(sK0,sK3,sK4),sK4)
| spl20_1 ),
inference(subsumption_resolution,[],[f37578,f10119]) ).
fof(f37578,plain,
( ~ member(sK10(sK0,sK3,sK4),sK3)
| sK11(sK0,sK3,sK4) = sK12(sK0,sK4,sK10(sK0,sK3,sK4))
| ~ member(sK11(sK0,sK3,sK4),sK4)
| spl20_1 ),
inference(resolution,[],[f32567,f10116]) ).
fof(f10116,plain,
( apply(sK0,sK10(sK0,sK3,sK4),sK11(sK0,sK3,sK4))
| spl20_1 ),
inference(resolution,[],[f243,f159]) ).
fof(f159,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| apply(X0,sK10(X0,X1,X2),sK11(X0,X1,X2)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sK9(X0,X1,X2) != sK10(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f10115,plain,
spl20_2,
inference(avatar_contradiction_clause,[],[f10114]) ).
fof(f10114,plain,
( $false
| spl20_2 ),
inference(subsumption_resolution,[],[f10113,f9072]) ).
fof(f9072,plain,
( member(sK14(sK0,sK3,sK8(sK0,sK3,sK4)),sK3)
| spl20_2 ),
inference(resolution,[],[f9050,f180]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| member(sK14(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ( apply(X0,sK14(X0,X1,X2),X2)
& member(sK14(X0,X1,X2),X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f114,f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
=> ( apply(X0,sK14(X0,X1,X2),X2)
& member(sK14(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X5,X0,X4] :
( member(X4,image2(X5,X0))
<=> ? [X2] :
( apply(X5,X2,X4)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MKYV995QOl/Vampire---4.8_15518',image2) ).
fof(f9050,plain,
( member(sK8(sK0,sK3,sK4),image2(sK0,sK3))
| spl20_2 ),
inference(resolution,[],[f9023,f5053]) ).
fof(f5053,plain,
( member(sK8(sK0,sK3,sK4),sK4)
| spl20_2 ),
inference(resolution,[],[f247,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( surjective(X0,X1,X2)
| member(sK8(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
| ( ! [X4] :
( ~ apply(X0,X4,sK8(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK8(X0,X1,X2),X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f68,f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) )
=> ( ! [X4] :
( ~ apply(X0,X4,sK8(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK8(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) )
=> surjective(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X5,X0,X1] :
( surjective(X5,X0,X1)
<=> ! [X4] :
( member(X4,X1)
=> ? [X3] :
( apply(X5,X3,X4)
& member(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MKYV995QOl/Vampire---4.8_15518',surjective) ).
fof(f247,plain,
( ~ surjective(sK0,sK3,sK4)
| spl20_2 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl20_2
<=> surjective(sK0,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f9023,plain,
! [X4] :
( ~ member(X4,sK4)
| member(X4,image2(sK0,sK3)) ),
inference(duplicate_literal_removal,[],[f9004]) ).
fof(f9004,plain,
! [X4] :
( member(X4,image2(sK0,sK3))
| ~ member(X4,sK4)
| ~ member(X4,sK4) ),
inference(resolution,[],[f2932,f2269]) ).
fof(f2269,plain,
! [X0] :
( member(sK17(sK0,sK2,sK3,X0,X0),sK3)
| ~ member(X0,sK4) ),
inference(duplicate_literal_removal,[],[f2268]) ).
fof(f2268,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK4)
| member(sK17(sK0,sK2,sK3,X0,X0),sK3) ),
inference(resolution,[],[f915,f201]) ).
fof(f201,plain,
identity(sF18,sK4),
inference(definition_folding,[],[f136,f200]) ).
fof(f200,plain,
compose_function(sK0,sK2,sK4,sK3,sK4) = sF18,
introduced(function_definition,[]) ).
fof(f136,plain,
identity(compose_function(sK0,sK2,sK4,sK3,sK4),sK4),
inference(cnf_transformation,[],[f80]) ).
fof(f915,plain,
! [X0,X1] :
( ~ identity(sF18,X1)
| ~ member(X0,sK4)
| ~ member(X0,X1)
| member(sK17(sK0,sK2,sK3,X0,X0),sK3) ),
inference(duplicate_literal_removal,[],[f913]) ).
fof(f913,plain,
! [X0,X1] :
( member(sK17(sK0,sK2,sK3,X0,X0),sK3)
| ~ member(X0,sK4)
| ~ member(X0,sK4)
| ~ member(X0,X1)
| ~ identity(sF18,X1) ),
inference(resolution,[],[f644,f142]) ).
fof(f644,plain,
! [X0,X1] :
( ~ apply(sF18,X0,X1)
| member(sK17(sK0,sK2,sK3,X0,X1),sK3)
| ~ member(X1,sK4)
| ~ member(X0,sK4) ),
inference(superposition,[],[f193,f200]) ).
fof(f2932,plain,
! [X18,X17] :
( ~ member(sK17(sK0,sK2,sK3,X17,X17),X18)
| member(X17,image2(sK0,X18))
| ~ member(X17,sK4) ),
inference(resolution,[],[f2926,f182]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X3,X2)
| member(X2,image2(X0,X1))
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f2926,plain,
! [X0] :
( apply(sK0,sK17(sK0,sK2,sK3,X0,X0),X0)
| ~ member(X0,sK4) ),
inference(duplicate_literal_removal,[],[f2925]) ).
fof(f2925,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK4)
| apply(sK0,sK17(sK0,sK2,sK3,X0,X0),X0) ),
inference(resolution,[],[f1130,f201]) ).
fof(f1130,plain,
! [X0,X1] :
( ~ identity(sF18,X1)
| ~ member(X0,sK4)
| ~ member(X0,X1)
| apply(sK0,sK17(sK0,sK2,sK3,X0,X0),X0) ),
inference(duplicate_literal_removal,[],[f1128]) ).
fof(f1128,plain,
! [X0,X1] :
( apply(sK0,sK17(sK0,sK2,sK3,X0,X0),X0)
| ~ member(X0,sK4)
| ~ member(X0,sK4)
| ~ member(X0,X1)
| ~ identity(sF18,X1) ),
inference(resolution,[],[f730,f142]) ).
fof(f730,plain,
! [X0,X1] :
( ~ apply(sF18,X0,X1)
| apply(sK0,sK17(sK0,sK2,sK3,X0,X1),X1)
| ~ member(X1,sK4)
| ~ member(X0,sK4) ),
inference(superposition,[],[f195,f200]) ).
fof(f10113,plain,
( ~ member(sK14(sK0,sK3,sK8(sK0,sK3,sK4)),sK3)
| spl20_2 ),
inference(subsumption_resolution,[],[f10102,f247]) ).
fof(f10102,plain,
( surjective(sK0,sK3,sK4)
| ~ member(sK14(sK0,sK3,sK8(sK0,sK3,sK4)),sK3)
| spl20_2 ),
inference(resolution,[],[f9071,f154]) ).
fof(f154,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,X4,sK8(X0,X1,X2))
| surjective(X0,X1,X2)
| ~ member(X4,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f9071,plain,
( apply(sK0,sK14(sK0,sK3,sK8(sK0,sK3,sK4)),sK8(sK0,sK3,sK4))
| spl20_2 ),
inference(resolution,[],[f9050,f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| apply(X0,sK14(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f248,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f239,f245,f241]) ).
fof(f239,plain,
( ~ surjective(sK0,sK3,sK4)
| ~ injective(sK0,sK3,sK4) ),
inference(resolution,[],[f161,f137]) ).
fof(f137,plain,
~ one_to_one(sK0,sK3,sK4),
inference(cnf_transformation,[],[f80]) ).
fof(f161,plain,
! [X2,X0,X1] :
( one_to_one(X0,X1,X2)
| ~ surjective(X0,X1,X2)
| ~ injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
| ~ surjective(X0,X1,X2)
| ~ injective(X0,X1,X2) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
| ~ surjective(X0,X1,X2)
| ~ injective(X0,X1,X2) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
& injective(X0,X1,X2) )
=> one_to_one(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
<=> ( surjective(X0,X1,X2)
& injective(X0,X1,X2) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X5,X0,X1] :
( one_to_one(X5,X0,X1)
<=> ( surjective(X5,X0,X1)
& injective(X5,X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MKYV995QOl/Vampire---4.8_15518',one_to_one) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET725+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 12:12:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.MKYV995QOl/Vampire---4.8_15518
% 0.15/0.37 % (15639)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15644)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.22/0.43 % (15646)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (15640)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.22/0.43 % (15642)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.22/0.43 % (15645)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.22/0.43 % (15650)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.22/0.43 % (15648)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.22/0.43 % (15645)Refutation not found, incomplete strategy% (15645)------------------------------
% 0.22/0.43 % (15645)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (15645)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (15645)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (15645)Memory used [KB]: 5628
% 0.22/0.43 % (15645)Time elapsed: 0.005 s
% 0.22/0.43 % (15645)------------------------------
% 0.22/0.43 % (15645)------------------------------
% 0.22/0.49 % (15651)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_401 on Vampire---4 for (401ds/0Mi)
% 9.78/1.76 % (15651)First to succeed.
% 9.78/1.77 % (15651)Refutation found. Thanks to Tanya!
% 9.78/1.77 % SZS status Theorem for Vampire---4
% 9.78/1.77 % SZS output start Proof for Vampire---4
% See solution above
% 9.78/1.77 % (15651)------------------------------
% 9.78/1.77 % (15651)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 9.78/1.77 % (15651)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 9.78/1.77 % (15651)Termination reason: Refutation
% 9.78/1.77
% 9.78/1.77 % (15651)Memory used [KB]: 34413
% 9.78/1.77 % (15651)Time elapsed: 1.278 s
% 9.78/1.77 % (15651)------------------------------
% 9.78/1.77 % (15651)------------------------------
% 9.78/1.77 % (15639)Success in time 1.396 s
% 9.78/1.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------