TSTP Solution File: SEU072+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU072+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n005.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 18:31:53 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of formulae : 85 ( 12 unt; 0 def)
% Number of atoms : 356 ( 119 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 431 ( 160 ~; 168 |; 72 &)
% ( 12 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 136 ( 113 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f503,plain,
$false,
inference(subsumption_resolution,[],[f502,f175]) ).
fof(f175,plain,
~ one_to_one(sK13),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ! [X1] : subset(relation_inverse_image(sK13,relation_image(sK13,X1)),X1)
& relation(sK13)
& function(sK13)
& ~ one_to_one(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f73,f114]) ).
fof(f114,plain,
( ? [X0] :
( ! [X1] : subset(relation_inverse_image(X0,relation_image(X0,X1)),X1)
& relation(X0)
& function(X0)
& ~ one_to_one(X0) )
=> ( ! [X1] : subset(relation_inverse_image(sK13,relation_image(sK13,X1)),X1)
& relation(sK13)
& function(sK13)
& ~ one_to_one(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
? [X0] :
( ! [X1] : subset(relation_inverse_image(X0,relation_image(X0,X1)),X1)
& relation(X0)
& function(X0)
& ~ one_to_one(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0] :
( ~ one_to_one(X0)
& ! [X1] : subset(relation_inverse_image(X0,relation_image(X0,X1)),X1)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ! [X1] : subset(relation_inverse_image(X0,relation_image(X0,X1)),X1)
=> one_to_one(X0) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ! [X1] : subset(relation_inverse_image(X0,relation_image(X0,X1)),X1)
=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t153_funct_1) ).
fof(f502,plain,
one_to_one(sK13),
inference(subsumption_resolution,[],[f501,f177]) ).
fof(f177,plain,
relation(sK13),
inference(cnf_transformation,[],[f115]) ).
fof(f501,plain,
( ~ relation(sK13)
| one_to_one(sK13) ),
inference(subsumption_resolution,[],[f500,f176]) ).
fof(f176,plain,
function(sK13),
inference(cnf_transformation,[],[f115]) ).
fof(f500,plain,
( ~ function(sK13)
| one_to_one(sK13)
| ~ relation(sK13) ),
inference(trivial_inequality_removal,[],[f499]) ).
fof(f499,plain,
( ~ function(sK13)
| ~ relation(sK13)
| sK10(sK13) != sK10(sK13)
| one_to_one(sK13) ),
inference(superposition,[],[f157,f492]) ).
fof(f492,plain,
sK10(sK13) = sK11(sK13),
inference(subsumption_resolution,[],[f491,f177]) ).
fof(f491,plain,
( sK10(sK13) = sK11(sK13)
| ~ relation(sK13) ),
inference(subsumption_resolution,[],[f490,f175]) ).
fof(f490,plain,
( sK10(sK13) = sK11(sK13)
| one_to_one(sK13)
| ~ relation(sK13) ),
inference(subsumption_resolution,[],[f489,f176]) ).
fof(f489,plain,
( ~ function(sK13)
| ~ relation(sK13)
| one_to_one(sK13)
| sK10(sK13) = sK11(sK13) ),
inference(resolution,[],[f465,f158]) ).
fof(f158,plain,
! [X0] :
( in(sK10(X0),relation_dom(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ~ function(X0)
| ( ( ! [X1,X2] :
( ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0))
| X1 = X2
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ( in(sK11(X0),relation_dom(X0))
& in(sK10(X0),relation_dom(X0))
& sK10(X0) != sK11(X0)
& apply(X0,sK11(X0)) = apply(X0,sK10(X0)) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f104,f105]) ).
fof(f105,plain,
! [X0] :
( ? [X3,X4] :
( in(X4,relation_dom(X0))
& in(X3,relation_dom(X0))
& X3 != X4
& apply(X0,X3) = apply(X0,X4) )
=> ( in(sK11(X0),relation_dom(X0))
& in(sK10(X0),relation_dom(X0))
& sK10(X0) != sK11(X0)
& apply(X0,sK11(X0)) = apply(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ~ function(X0)
| ( ( ! [X1,X2] :
( ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0))
| X1 = X2
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X3,X4] :
( in(X4,relation_dom(X0))
& in(X3,relation_dom(X0))
& X3 != X4
& apply(X0,X3) = apply(X0,X4) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ function(X0)
| ( ( ! [X2,X1] :
( ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| X1 = X2
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X2,X1] :
( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& X1 != X2
& apply(X0,X1) = apply(X0,X2) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ function(X0)
| ( ! [X2,X1] :
( ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| X1 = X2
| apply(X0,X1) != apply(X0,X2) )
<=> one_to_one(X0) )
| ~ relation(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( ! [X2,X1] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
<=> one_to_one(X0) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X2,X1] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f465,plain,
( ~ in(sK10(sK13),relation_dom(sK13))
| sK10(sK13) = sK11(sK13) ),
inference(subsumption_resolution,[],[f464,f176]) ).
fof(f464,plain,
( sK10(sK13) = sK11(sK13)
| ~ in(sK10(sK13),relation_dom(sK13))
| ~ function(sK13) ),
inference(subsumption_resolution,[],[f459,f177]) ).
fof(f459,plain,
( ~ in(sK10(sK13),relation_dom(sK13))
| ~ relation(sK13)
| sK10(sK13) = sK11(sK13)
| ~ function(sK13) ),
inference(resolution,[],[f200,f337]) ).
fof(f337,plain,
( ~ in(apply(sK13,sK10(sK13)),relation_rng(sK13))
| sK10(sK13) = sK11(sK13) ),
inference(subsumption_resolution,[],[f336,f177]) ).
fof(f336,plain,
( ~ relation(sK13)
| ~ in(apply(sK13,sK10(sK13)),relation_rng(sK13))
| sK10(sK13) = sK11(sK13) ),
inference(trivial_inequality_removal,[],[f335]) ).
fof(f335,plain,
( ~ in(apply(sK13,sK10(sK13)),relation_rng(sK13))
| ~ relation(sK13)
| empty_set != empty_set
| sK10(sK13) = sK11(sK13) ),
inference(superposition,[],[f172,f328]) ).
fof(f328,plain,
( empty_set = relation_inverse_image(sK13,singleton(apply(sK13,sK10(sK13))))
| sK10(sK13) = sK11(sK13) ),
inference(resolution,[],[f322,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ~ subset(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ subset(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ~ subset(singleton(X1),singleton(X0))
| X0 = X1 ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( subset(singleton(X1),singleton(X0))
=> X0 = X1 ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1,X0] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(f322,plain,
( subset(singleton(sK10(sK13)),singleton(sK11(sK13)))
| empty_set = relation_inverse_image(sK13,singleton(apply(sK13,sK10(sK13)))) ),
inference(superposition,[],[f271,f263]) ).
fof(f263,plain,
( relation_inverse_image(sK13,singleton(apply(sK13,sK10(sK13)))) = singleton(sK10(sK13))
| empty_set = relation_inverse_image(sK13,singleton(apply(sK13,sK10(sK13)))) ),
inference(superposition,[],[f213,f258]) ).
fof(f258,plain,
relation_image(sK13,singleton(sK10(sK13))) = singleton(apply(sK13,sK10(sK13))),
inference(subsumption_resolution,[],[f257,f175]) ).
fof(f257,plain,
( relation_image(sK13,singleton(sK10(sK13))) = singleton(apply(sK13,sK10(sK13)))
| one_to_one(sK13) ),
inference(subsumption_resolution,[],[f256,f177]) ).
fof(f256,plain,
( ~ relation(sK13)
| relation_image(sK13,singleton(sK10(sK13))) = singleton(apply(sK13,sK10(sK13)))
| one_to_one(sK13) ),
inference(subsumption_resolution,[],[f254,f176]) ).
fof(f254,plain,
( ~ function(sK13)
| relation_image(sK13,singleton(sK10(sK13))) = singleton(apply(sK13,sK10(sK13)))
| ~ relation(sK13)
| one_to_one(sK13) ),
inference(resolution,[],[f249,f158]) ).
fof(f249,plain,
! [X6] :
( ~ in(X6,relation_dom(sK13))
| singleton(apply(sK13,X6)) = relation_image(sK13,singleton(X6)) ),
inference(subsumption_resolution,[],[f240,f176]) ).
fof(f240,plain,
! [X6] :
( ~ in(X6,relation_dom(sK13))
| singleton(apply(sK13,X6)) = relation_image(sK13,singleton(X6))
| ~ function(sK13) ),
inference(resolution,[],[f162,f177]) ).
fof(f162,plain,
! [X0,X1] :
( ~ relation(X0)
| singleton(apply(X0,X1)) = relation_image(X0,singleton(X1))
| ~ in(X1,relation_dom(X0))
| ~ function(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( singleton(apply(X0,X1)) = relation_image(X0,singleton(X1))
| ~ in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( singleton(apply(X0,X1)) = relation_image(X0,singleton(X1))
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( in(X1,relation_dom(X0))
=> singleton(apply(X0,X1)) = relation_image(X0,singleton(X1)) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( in(X0,relation_dom(X1))
=> relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f213,plain,
! [X2] :
( singleton(X2) = relation_inverse_image(sK13,relation_image(sK13,singleton(X2)))
| empty_set = relation_inverse_image(sK13,relation_image(sK13,singleton(X2))) ),
inference(resolution,[],[f179,f178]) ).
fof(f178,plain,
! [X1] : subset(relation_inverse_image(sK13,relation_image(sK13,X1)),X1),
inference(cnf_transformation,[],[f115]) ).
fof(f179,plain,
! [X0,X1] :
( ~ subset(X0,singleton(X1))
| singleton(X1) = X0
| empty_set = X0 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(f271,plain,
subset(relation_inverse_image(sK13,singleton(apply(sK13,sK10(sK13)))),singleton(sK11(sK13))),
inference(superposition,[],[f178,f262]) ).
fof(f262,plain,
relation_image(sK13,singleton(sK11(sK13))) = singleton(apply(sK13,sK10(sK13))),
inference(forward_demodulation,[],[f261,f234]) ).
fof(f234,plain,
apply(sK13,sK11(sK13)) = apply(sK13,sK10(sK13)),
inference(subsumption_resolution,[],[f233,f176]) ).
fof(f233,plain,
( apply(sK13,sK11(sK13)) = apply(sK13,sK10(sK13))
| ~ function(sK13) ),
inference(subsumption_resolution,[],[f232,f177]) ).
fof(f232,plain,
( apply(sK13,sK11(sK13)) = apply(sK13,sK10(sK13))
| ~ relation(sK13)
| ~ function(sK13) ),
inference(resolution,[],[f156,f175]) ).
fof(f156,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| apply(X0,sK11(X0)) = apply(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f261,plain,
singleton(apply(sK13,sK11(sK13))) = relation_image(sK13,singleton(sK11(sK13))),
inference(subsumption_resolution,[],[f260,f175]) ).
fof(f260,plain,
( singleton(apply(sK13,sK11(sK13))) = relation_image(sK13,singleton(sK11(sK13)))
| one_to_one(sK13) ),
inference(subsumption_resolution,[],[f259,f176]) ).
fof(f259,plain,
( ~ function(sK13)
| one_to_one(sK13)
| singleton(apply(sK13,sK11(sK13))) = relation_image(sK13,singleton(sK11(sK13))) ),
inference(subsumption_resolution,[],[f255,f177]) ).
fof(f255,plain,
( singleton(apply(sK13,sK11(sK13))) = relation_image(sK13,singleton(sK11(sK13)))
| ~ relation(sK13)
| one_to_one(sK13)
| ~ function(sK13) ),
inference(resolution,[],[f249,f159]) ).
fof(f159,plain,
! [X0] :
( in(sK11(X0),relation_dom(X0))
| ~ function(X0)
| one_to_one(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f172,plain,
! [X0,X1] :
( empty_set != relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( ( empty_set != relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) )
& ( in(X0,relation_rng(X1))
| empty_set = relation_inverse_image(X1,singleton(X0)) ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( empty_set != relation_inverse_image(X1,singleton(X0))
<=> in(X0,relation_rng(X1)) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( relation(X1)
=> ( empty_set != relation_inverse_image(X1,singleton(X0))
<=> in(X0,relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t142_funct_1) ).
fof(f200,plain,
! [X0,X4] :
( in(apply(X0,X4),relation_rng(X0))
| ~ function(X0)
| ~ in(X4,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X0,X1,X4] :
( ~ relation(X0)
| ~ function(X0)
| in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| relation_rng(X0) != X1 ),
inference(equality_resolution,[],[f129]) ).
fof(f129,plain,
! [X2,X0,X1,X4] :
( ~ relation(X0)
| ~ function(X0)
| in(X2,X1)
| apply(X0,X4) != X2
| ~ in(X4,relation_dom(X0))
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( ! [X2] :
( ( ( apply(X0,sK0(X0,X2)) = X2
& in(sK0(X0,X2),relation_dom(X0)) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] :
( apply(X0,X4) != X2
| ~ in(X4,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ~ in(sK1(X0,X1),X1)
| ! [X6] :
( sK1(X0,X1) != apply(X0,X6)
| ~ in(X6,relation_dom(X0)) ) )
& ( in(sK1(X0,X1),X1)
| ( sK1(X0,X1) = apply(X0,sK2(X0,X1))
& in(sK2(X0,X1),relation_dom(X0)) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f83,f86,f85,f84]) ).
fof(f84,plain,
! [X0,X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
=> ( apply(X0,sK0(X0,X2)) = X2
& in(sK0(X0,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0,X1] :
( ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( in(X5,X1)
| ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) ) ) )
=> ( ( ~ in(sK1(X0,X1),X1)
| ! [X6] :
( sK1(X0,X1) != apply(X0,X6)
| ~ in(X6,relation_dom(X0)) ) )
& ( in(sK1(X0,X1),X1)
| ? [X7] :
( sK1(X0,X1) = apply(X0,X7)
& in(X7,relation_dom(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X7] :
( sK1(X0,X1) = apply(X0,X7)
& in(X7,relation_dom(X0)) )
=> ( sK1(X0,X1) = apply(X0,sK2(X0,X1))
& in(sK2(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( ! [X2] :
( ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] :
( apply(X0,X4) != X2
| ~ in(X4,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( in(X5,X1)
| ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) ) ) ) ) ) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( ! [X2] :
( ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( in(X2,X1)
| ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) ) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f157,plain,
! [X0] :
( sK10(X0) != sK11(X0)
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU072+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % 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 : n005.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 14:36:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (15425)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (15425)Instruction limit reached!
% 0.20/0.50 % (15425)------------------------------
% 0.20/0.50 % (15425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (15425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (15425)Termination reason: Unknown
% 0.20/0.50 % (15425)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (15425)Memory used [KB]: 895
% 0.20/0.50 % (15425)Time elapsed: 0.003 s
% 0.20/0.50 % (15425)Instructions burned: 3 (million)
% 0.20/0.50 % (15425)------------------------------
% 0.20/0.50 % (15425)------------------------------
% 0.20/0.50 % (15438)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)
% 0.20/0.50 % (15420)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (15427)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (15424)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (15442)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (15418)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (15423)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)
% 0.20/0.51 % (15433)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51 % (15419)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)
% 0.20/0.51 % (15440)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51 % (15422)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)
% 0.20/0.52 % (15417)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)
% 0.20/0.52 % (15445)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52 % (15417)Refutation not found, incomplete strategy% (15417)------------------------------
% 0.20/0.52 % (15417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (15417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (15417)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (15417)Memory used [KB]: 5500
% 0.20/0.52 % (15417)Time elapsed: 0.115 s
% 0.20/0.52 % (15417)Instructions burned: 5 (million)
% 0.20/0.52 % (15417)------------------------------
% 0.20/0.52 % (15417)------------------------------
% 0.20/0.52 % (15432)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 % (15447)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)
% 0.20/0.52 % (15428)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (15439)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (15441)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (15430)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (15443)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (15416)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)
% 0.20/0.53 % (15444)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (15424)Instruction limit reached!
% 0.20/0.53 % (15424)------------------------------
% 0.20/0.53 % (15424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15424)Termination reason: Unknown
% 0.20/0.53 % (15424)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (15424)Memory used [KB]: 5628
% 0.20/0.53 % (15424)Time elapsed: 0.099 s
% 0.20/0.53 % (15424)Instructions burned: 8 (million)
% 0.20/0.53 % (15424)------------------------------
% 0.20/0.53 % (15424)------------------------------
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (15431)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (15437)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)
% 0.20/0.53 % (15435)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (15446)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (15418)First to succeed.
% 0.20/0.54 % (15434)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (15436)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (15429)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (15418)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (15418)------------------------------
% 0.20/0.55 % (15418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15418)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (15418)Memory used [KB]: 1151
% 0.20/0.55 % (15418)Time elapsed: 0.142 s
% 0.20/0.55 % (15418)Instructions burned: 15 (million)
% 0.20/0.55 % (15418)------------------------------
% 0.20/0.55 % (15418)------------------------------
% 0.20/0.55 % (15412)Success in time 0.193 s
%------------------------------------------------------------------------------