TSTP Solution File: SEU076+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU076+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 09:20:10 EDT 2024
% Result : Theorem 0.51s 0.76s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 13 unt; 0 def)
% Number of atoms : 415 ( 74 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 554 ( 216 ~; 211 |; 102 &)
% ( 11 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 195 ( 163 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f992,plain,
$false,
inference(subsumption_resolution,[],[f991,f83]) ).
fof(f83,plain,
~ subset(sK0,sK1),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ subset(sK0,sK1)
& one_to_one(sK2)
& subset(sK0,relation_dom(sK2))
& subset(relation_image(sK2,sK0),relation_image(sK2,sK1))
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f38,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,X1)
& one_to_one(X2)
& subset(X0,relation_dom(X2))
& subset(relation_image(X2,X0),relation_image(X2,X1))
& function(X2)
& relation(X2) )
=> ( ~ subset(sK0,sK1)
& one_to_one(sK2)
& subset(sK0,relation_dom(sK2))
& subset(relation_image(sK2,sK0),relation_image(sK2,sK1))
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ~ subset(X0,X1)
& one_to_one(X2)
& subset(X0,relation_dom(X2))
& subset(relation_image(X2,X0),relation_image(X2,X1))
& function(X2)
& relation(X2) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ~ subset(X0,X1)
& one_to_one(X2)
& subset(X0,relation_dom(X2))
& subset(relation_image(X2,X0),relation_image(X2,X1))
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( one_to_one(X2)
& subset(X0,relation_dom(X2))
& subset(relation_image(X2,X0),relation_image(X2,X1)) )
=> subset(X0,X1) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( one_to_one(X2)
& subset(X0,relation_dom(X2))
& subset(relation_image(X2,X0),relation_image(X2,X1)) )
=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9zUTZCtiLl/Vampire---4.8_13250',t157_funct_1) ).
fof(f991,plain,
subset(sK0,sK1),
inference(duplicate_literal_removal,[],[f990]) ).
fof(f990,plain,
( subset(sK0,sK1)
| subset(sK0,sK1) ),
inference(resolution,[],[f989,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ in(sK13(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9zUTZCtiLl/Vampire---4.8_13250',d3_tarski) ).
fof(f989,plain,
! [X0] :
( in(sK13(sK0,X0),sK1)
| subset(sK0,X0) ),
inference(resolution,[],[f978,f121]) ).
fof(f121,plain,
! [X0,X1] :
( in(sK13(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f978,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,sK1) ),
inference(subsumption_resolution,[],[f973,f183]) ).
fof(f183,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,sF14) ),
inference(resolution,[],[f120,f129]) ).
fof(f129,plain,
subset(sK0,sF14),
inference(definition_folding,[],[f81,f128]) ).
fof(f128,plain,
relation_dom(sK2) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f81,plain,
subset(sK0,relation_dom(sK2)),
inference(cnf_transformation,[],[f52]) ).
fof(f120,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f973,plain,
! [X0] :
( ~ in(X0,sF14)
| in(X0,sK1)
| ~ in(X0,sK0) ),
inference(resolution,[],[f931,f214]) ).
fof(f214,plain,
! [X0] :
( in(apply(sK2,X0),sF16)
| ~ in(X0,sK0) ),
inference(resolution,[],[f210,f184]) ).
fof(f184,plain,
! [X0] :
( ~ in(X0,sF15)
| in(X0,sF16) ),
inference(resolution,[],[f120,f132]) ).
fof(f132,plain,
subset(sF15,sF16),
inference(definition_folding,[],[f80,f131,f130]) ).
fof(f130,plain,
relation_image(sK2,sK0) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f131,plain,
relation_image(sK2,sK1) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f80,plain,
subset(relation_image(sK2,sK0),relation_image(sK2,sK1)),
inference(cnf_transformation,[],[f52]) ).
fof(f210,plain,
! [X0] :
( in(apply(sK2,X0),sF15)
| ~ in(X0,sK0) ),
inference(subsumption_resolution,[],[f209,f183]) ).
fof(f209,plain,
! [X0] :
( ~ in(X0,sF14)
| in(apply(sK2,X0),sF15)
| ~ in(X0,sK0) ),
inference(forward_demodulation,[],[f208,f128]) ).
fof(f208,plain,
! [X0] :
( in(apply(sK2,X0),sF15)
| ~ in(X0,sK0)
| ~ in(X0,relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f207,f78]) ).
fof(f78,plain,
relation(sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f207,plain,
! [X0] :
( in(apply(sK2,X0),sF15)
| ~ in(X0,sK0)
| ~ in(X0,relation_dom(sK2))
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f201,f79]) ).
fof(f79,plain,
function(sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f201,plain,
! [X0] :
( in(apply(sK2,X0),sF15)
| ~ in(X0,sK0)
| ~ in(X0,relation_dom(sK2))
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f124,f130]) ).
fof(f124,plain,
! [X0,X1,X7] :
( in(apply(X0,X7),relation_image(X0,X1))
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f123]) ).
fof(f123,plain,
! [X2,X0,X1,X7] :
( in(apply(X0,X7),X2)
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0))
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f87]) ).
fof(f87,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0))
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ! [X4] :
( apply(X0,X4) != sK3(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( sK3(X0,X1,X2) = apply(X0,sK4(X0,X1,X2))
& in(sK4(X0,X1,X2),X1)
& in(sK4(X0,X1,X2),relation_dom(X0)) )
| in(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) ) )
& ( ( apply(X0,sK5(X0,X1,X6)) = X6
& in(sK5(X0,X1,X6),X1)
& in(sK5(X0,X1,X6),relation_dom(X0)) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f54,f57,f56,f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X5] :
( apply(X0,X5) = X3
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( apply(X0,X4) != sK3(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(sK3(X0,X1,X2),X2) )
& ( ? [X5] :
( apply(X0,X5) = sK3(X0,X1,X2)
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(sK3(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ? [X5] :
( apply(X0,X5) = sK3(X0,X1,X2)
& in(X5,X1)
& in(X5,relation_dom(X0)) )
=> ( sK3(X0,X1,X2) = apply(X0,sK4(X0,X1,X2))
& in(sK4(X0,X1,X2),X1)
& in(sK4(X0,X1,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1,X6] :
( ? [X8] :
( apply(X0,X8) = X6
& in(X8,X1)
& in(X8,relation_dom(X0)) )
=> ( apply(X0,sK5(X0,X1,X6)) = X6
& in(sK5(X0,X1,X6),X1)
& in(sK5(X0,X1,X6),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X5] :
( apply(X0,X5) = X3
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) ) )
& ( ? [X8] :
( apply(X0,X8) = X6
& in(X8,X1)
& in(X8,relation_dom(X0)) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) ) )
& ( ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9zUTZCtiLl/Vampire---4.8_13250',d12_funct_1) ).
fof(f931,plain,
! [X0] :
( ~ in(apply(sK2,X0),sF16)
| ~ in(X0,sF14)
| in(X0,sK1) ),
inference(forward_demodulation,[],[f778,f128]) ).
fof(f778,plain,
! [X0] :
( ~ in(apply(sK2,X0),sF16)
| in(X0,sK1)
| ~ in(X0,relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f777,f82]) ).
fof(f82,plain,
one_to_one(sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f777,plain,
! [X0] :
( ~ in(apply(sK2,X0),sF16)
| in(X0,sK1)
| ~ in(X0,relation_dom(sK2))
| ~ one_to_one(sK2) ),
inference(subsumption_resolution,[],[f776,f78]) ).
fof(f776,plain,
! [X0] :
( ~ in(apply(sK2,X0),sF16)
| in(X0,sK1)
| ~ relation(sK2)
| ~ in(X0,relation_dom(sK2))
| ~ one_to_one(sK2) ),
inference(subsumption_resolution,[],[f753,f79]) ).
fof(f753,plain,
! [X0] :
( ~ in(apply(sK2,X0),sF16)
| in(X0,sK1)
| ~ function(sK2)
| ~ relation(sK2)
| ~ in(X0,relation_dom(sK2))
| ~ one_to_one(sK2) ),
inference(superposition,[],[f452,f131]) ).
fof(f452,plain,
! [X2,X0,X1] :
( ~ in(apply(X0,X2),relation_image(X0,X1))
| in(X2,X1)
| ~ function(X0)
| ~ relation(X0)
| ~ in(X2,relation_dom(X0))
| ~ one_to_one(X0) ),
inference(duplicate_literal_removal,[],[f437]) ).
fof(f437,plain,
! [X2,X0,X1] :
( in(X2,X1)
| ~ in(apply(X0,X2),relation_image(X0,X1))
| ~ function(X0)
| ~ relation(X0)
| ~ in(X2,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ in(apply(X0,X2),relation_image(X0,X1)) ),
inference(superposition,[],[f126,f346]) ).
fof(f346,plain,
! [X2,X0,X1] :
( sK5(X0,X1,apply(X0,X2)) = X2
| ~ in(X2,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ in(apply(X0,X2),relation_image(X0,X1)) ),
inference(equality_resolution,[],[f258]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( apply(X0,X3) != X2
| sK5(X0,X1,X2) = X3
| ~ in(X3,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ in(X2,relation_image(X0,X1)) ),
inference(subsumption_resolution,[],[f256,f127]) ).
fof(f127,plain,
! [X0,X1,X6] :
( in(sK5(X0,X1,X6),relation_dom(X0))
| ~ in(X6,relation_image(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f84]) ).
fof(f84,plain,
! [X2,X0,X1,X6] :
( in(sK5(X0,X1,X6),relation_dom(X0))
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( apply(X0,X3) != X2
| sK5(X0,X1,X2) = X3
| ~ in(sK5(X0,X1,X2),relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ in(X2,relation_image(X0,X1)) ),
inference(duplicate_literal_removal,[],[f249]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( apply(X0,X3) != X2
| sK5(X0,X1,X2) = X3
| ~ in(sK5(X0,X1,X2),relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ in(X2,relation_image(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(superposition,[],[f112,f125]) ).
fof(f125,plain,
! [X0,X1,X6] :
( apply(X0,sK5(X0,X1,X6)) = X6
| ~ in(X6,relation_image(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f86]) ).
fof(f86,plain,
! [X2,X0,X1,X6] :
( apply(X0,sK5(X0,X1,X6)) = X6
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f112,plain,
! [X3,X0,X4] :
( apply(X0,X4) != apply(X0,X3)
| X3 = X4
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK11(X0) != sK12(X0)
& apply(X0,sK11(X0)) = apply(X0,sK12(X0))
& in(sK12(X0),relation_dom(X0))
& in(sK11(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X4) != apply(X0,X3)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f70,f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK11(X0) != sK12(X0)
& apply(X0,sK11(X0)) = apply(X0,sK12(X0))
& in(sK12(X0),relation_dom(X0))
& in(sK11(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X4) != apply(X0,X3)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9zUTZCtiLl/Vampire---4.8_13250',d8_funct_1) ).
fof(f126,plain,
! [X0,X1,X6] :
( in(sK5(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f85]) ).
fof(f85,plain,
! [X2,X0,X1,X6] :
( in(sK5(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SEU076+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 11:46:00 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.9zUTZCtiLl/Vampire---4.8_13250
% 0.51/0.71 % (13359)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.71 % (13361)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.71 % (13362)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.51/0.71 % (13363)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.71 % (13364)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.51/0.71 % (13360)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.51/0.71 % (13365)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.51/0.71 % (13366)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.51/0.72 % (13364)Refutation not found, incomplete strategy% (13364)------------------------------
% 0.51/0.72 % (13364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72 % (13364)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.72
% 0.51/0.72 % (13364)Memory used [KB]: 1123
% 0.51/0.72 % (13364)Time elapsed: 0.004 s
% 0.51/0.72 % (13364)Instructions burned: 5 (million)
% 0.51/0.72 % (13364)------------------------------
% 0.51/0.72 % (13364)------------------------------
% 0.51/0.72 % (13367)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.51/0.72 % (13359)Instruction limit reached!
% 0.51/0.72 % (13359)------------------------------
% 0.51/0.72 % (13359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72 % (13359)Termination reason: Unknown
% 0.51/0.72 % (13359)Termination phase: Saturation
% 0.51/0.72
% 0.51/0.72 % (13359)Memory used [KB]: 1150
% 0.51/0.72 % (13359)Time elapsed: 0.012 s
% 0.51/0.72 % (13359)Instructions burned: 35 (million)
% 0.51/0.72 % (13359)------------------------------
% 0.51/0.72 % (13359)------------------------------
% 0.51/0.73 % (13368)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.51/0.73 % (13362)Instruction limit reached!
% 0.51/0.73 % (13362)------------------------------
% 0.51/0.73 % (13362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73 % (13362)Termination reason: Unknown
% 0.51/0.73 % (13362)Termination phase: Saturation
% 0.51/0.73
% 0.51/0.73 % (13362)Memory used [KB]: 1369
% 0.51/0.73 % (13362)Time elapsed: 0.018 s
% 0.51/0.73 % (13362)Instructions burned: 33 (million)
% 0.51/0.73 % (13362)------------------------------
% 0.51/0.73 % (13362)------------------------------
% 0.51/0.73 % (13363)Instruction limit reached!
% 0.51/0.73 % (13363)------------------------------
% 0.51/0.73 % (13363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73 % (13363)Termination reason: Unknown
% 0.51/0.73 % (13363)Termination phase: Saturation
% 0.51/0.73
% 0.51/0.73 % (13363)Memory used [KB]: 1363
% 0.51/0.73 % (13363)Time elapsed: 0.019 s
% 0.51/0.73 % (13363)Instructions burned: 35 (million)
% 0.51/0.73 % (13363)------------------------------
% 0.51/0.73 % (13363)------------------------------
% 0.51/0.73 % (13370)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.51/0.74 % (13369)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.51/0.74 % (13360)Instruction limit reached!
% 0.51/0.74 % (13360)------------------------------
% 0.51/0.74 % (13360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.74 % (13360)Termination reason: Unknown
% 0.51/0.74 % (13360)Termination phase: Saturation
% 0.51/0.74
% 0.51/0.74 % (13360)Memory used [KB]: 1709
% 0.51/0.74 % (13360)Time elapsed: 0.028 s
% 0.51/0.74 % (13360)Instructions burned: 52 (million)
% 0.51/0.74 % (13360)------------------------------
% 0.51/0.74 % (13360)------------------------------
% 0.51/0.74 % (13366)Instruction limit reached!
% 0.51/0.74 % (13366)------------------------------
% 0.51/0.74 % (13366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.74 % (13366)Termination reason: Unknown
% 0.51/0.74 % (13366)Termination phase: Saturation
% 0.51/0.74
% 0.51/0.74 % (13366)Memory used [KB]: 1754
% 0.51/0.74 % (13366)Time elapsed: 0.032 s
% 0.51/0.74 % (13366)Instructions burned: 57 (million)
% 0.51/0.74 % (13366)------------------------------
% 0.51/0.74 % (13366)------------------------------
% 0.51/0.74 % (13368)Instruction limit reached!
% 0.51/0.74 % (13368)------------------------------
% 0.51/0.74 % (13368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.74 % (13368)Termination reason: Unknown
% 0.51/0.74 % (13368)Termination phase: Saturation
% 0.51/0.74
% 0.51/0.74 % (13368)Memory used [KB]: 1657
% 0.51/0.74 % (13368)Time elapsed: 0.019 s
% 0.51/0.74 % (13368)Instructions burned: 50 (million)
% 0.51/0.74 % (13368)------------------------------
% 0.51/0.74 % (13368)------------------------------
% 0.51/0.75 % (13371)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.51/0.75 % (13372)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.51/0.75 % (13373)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.51/0.75 % (13371)Refutation not found, incomplete strategy% (13371)------------------------------
% 0.51/0.75 % (13371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.75 % (13371)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.75
% 0.51/0.75 % (13371)Memory used [KB]: 1112
% 0.51/0.75 % (13371)Time elapsed: 0.004 s
% 0.51/0.75 % (13371)Instructions burned: 5 (million)
% 0.51/0.75 % (13371)------------------------------
% 0.51/0.75 % (13371)------------------------------
% 0.51/0.75 % (13367)Instruction limit reached!
% 0.51/0.75 % (13367)------------------------------
% 0.51/0.75 % (13367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.75 % (13367)Termination reason: Unknown
% 0.51/0.75 % (13367)Termination phase: Saturation
% 0.51/0.75
% 0.51/0.75 % (13367)Memory used [KB]: 1677
% 0.51/0.75 % (13367)Time elapsed: 0.030 s
% 0.51/0.75 % (13367)Instructions burned: 56 (million)
% 0.51/0.75 % (13367)------------------------------
% 0.51/0.75 % (13367)------------------------------
% 0.51/0.75 % (13375)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.51/0.76 % (13361)Instruction limit reached!
% 0.51/0.76 % (13361)------------------------------
% 0.51/0.76 % (13361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.76 % (13361)Termination reason: Unknown
% 0.51/0.76 % (13361)Termination phase: Saturation
% 0.51/0.76
% 0.51/0.76 % (13361)Memory used [KB]: 1779
% 0.51/0.76 % (13361)Time elapsed: 0.044 s
% 0.51/0.76 % (13361)Instructions burned: 79 (million)
% 0.51/0.76 % (13361)------------------------------
% 0.51/0.76 % (13361)------------------------------
% 0.51/0.76 % (13374)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.51/0.76 % (13370)Instruction limit reached!
% 0.51/0.76 % (13370)------------------------------
% 0.51/0.76 % (13370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.76 % (13370)Termination reason: Unknown
% 0.51/0.76 % (13370)Termination phase: Saturation
% 0.51/0.76
% 0.51/0.76 % (13370)Memory used [KB]: 1219
% 0.51/0.76 % (13370)Time elapsed: 0.024 s
% 0.51/0.76 % (13370)Instructions burned: 53 (million)
% 0.51/0.76 % (13370)------------------------------
% 0.51/0.76 % (13370)------------------------------
% 0.51/0.76 % (13369)First to succeed.
% 0.51/0.76 % (13369)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13358"
% 0.51/0.76 % (13376)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.51/0.76 % (13369)Refutation found. Thanks to Tanya!
% 0.51/0.76 % SZS status Theorem for Vampire---4
% 0.51/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.51/0.76 % (13369)------------------------------
% 0.51/0.76 % (13369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.76 % (13369)Termination reason: Refutation
% 0.51/0.76
% 0.51/0.76 % (13369)Memory used [KB]: 1298
% 0.51/0.76 % (13369)Time elapsed: 0.023 s
% 0.51/0.76 % (13369)Instructions burned: 41 (million)
% 0.51/0.76 % (13358)Success in time 0.408 s
% 0.79/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------