TSTP Solution File: SEU048+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU048+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_uns --cores 0 -t %d %s
% Computer : n025.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 18:26:26 EDT 2022
% Result : Theorem 1.46s 0.54s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 69 ( 20 unt; 0 def)
% Number of atoms : 342 ( 60 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 417 ( 144 ~; 137 |; 100 &)
% ( 15 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 156 ( 134 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,plain,
$false,
inference(subsumption_resolution,[],[f189,f171]) ).
fof(f171,plain,
in(sK11(relation_rng_restriction(sK4,sK3)),relation_dom(sK3)),
inference(unit_resulting_resolution,[],[f150,f155,f100]) ).
fof(f100,plain,
! [X2,X0,X1,X5] :
( ~ sP0(X0,X1,X2)
| ~ in(X5,relation_dom(X0))
| in(X5,relation_dom(X1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(sK7(X0,X1,X2),relation_dom(X0))
| ~ in(sK7(X0,X1,X2),relation_dom(X1))
| ~ in(apply(X1,sK7(X0,X1,X2)),X2) )
& ( in(sK7(X0,X1,X2),relation_dom(X0))
| ( in(sK7(X0,X1,X2),relation_dom(X1))
& in(apply(X1,sK7(X0,X1,X2)),X2) ) ) )
| ( in(sK8(X0,X1),relation_dom(X0))
& apply(X0,sK8(X0,X1)) != apply(X1,sK8(X0,X1)) ) )
& ( ( ! [X5] :
( ( ( in(X5,relation_dom(X1))
& in(apply(X1,X5),X2) )
| ~ in(X5,relation_dom(X0)) )
& ( in(X5,relation_dom(X0))
| ~ in(X5,relation_dom(X1))
| ~ in(apply(X1,X5),X2) ) )
& ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X1,X6) = apply(X0,X6) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f70,f72,f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(X3,relation_dom(X1))
| ~ in(apply(X1,X3),X2) )
& ( in(X3,relation_dom(X0))
| ( in(X3,relation_dom(X1))
& in(apply(X1,X3),X2) ) ) )
=> ( ( ~ in(sK7(X0,X1,X2),relation_dom(X0))
| ~ in(sK7(X0,X1,X2),relation_dom(X1))
| ~ in(apply(X1,sK7(X0,X1,X2)),X2) )
& ( in(sK7(X0,X1,X2),relation_dom(X0))
| ( in(sK7(X0,X1,X2),relation_dom(X1))
& in(apply(X1,sK7(X0,X1,X2)),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X1,X4) != apply(X0,X4) )
=> ( in(sK8(X0,X1),relation_dom(X0))
& apply(X0,sK8(X0,X1)) != apply(X1,sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(X3,relation_dom(X1))
| ~ in(apply(X1,X3),X2) )
& ( in(X3,relation_dom(X0))
| ( in(X3,relation_dom(X1))
& in(apply(X1,X3),X2) ) ) )
| ? [X4] :
( in(X4,relation_dom(X0))
& apply(X1,X4) != apply(X0,X4) ) )
& ( ( ! [X5] :
( ( ( in(X5,relation_dom(X1))
& in(apply(X1,X5),X2) )
| ~ in(X5,relation_dom(X0)) )
& ( in(X5,relation_dom(X0))
| ~ in(X5,relation_dom(X1))
| ~ in(apply(X1,X5),X2) ) )
& ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X1,X6) = apply(X0,X6) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X2,X0] :
( ( sP0(X1,X2,X0)
| ? [X4] :
( ( ~ in(X4,relation_dom(X1))
| ~ in(X4,relation_dom(X2))
| ~ in(apply(X2,X4),X0) )
& ( in(X4,relation_dom(X1))
| ( in(X4,relation_dom(X2))
& in(apply(X2,X4),X0) ) ) )
| ? [X3] :
( in(X3,relation_dom(X1))
& apply(X2,X3) != apply(X1,X3) ) )
& ( ( ! [X4] :
( ( ( in(X4,relation_dom(X2))
& in(apply(X2,X4),X0) )
| ~ in(X4,relation_dom(X1)) )
& ( in(X4,relation_dom(X1))
| ~ in(X4,relation_dom(X2))
| ~ in(apply(X2,X4),X0) ) )
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X2,X3) = apply(X1,X3) ) )
| ~ sP0(X1,X2,X0) ) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X1,X2,X0] :
( ( sP0(X1,X2,X0)
| ? [X4] :
( ( ~ in(X4,relation_dom(X1))
| ~ in(X4,relation_dom(X2))
| ~ in(apply(X2,X4),X0) )
& ( in(X4,relation_dom(X1))
| ( in(X4,relation_dom(X2))
& in(apply(X2,X4),X0) ) ) )
| ? [X3] :
( in(X3,relation_dom(X1))
& apply(X2,X3) != apply(X1,X3) ) )
& ( ( ! [X4] :
( ( ( in(X4,relation_dom(X2))
& in(apply(X2,X4),X0) )
| ~ in(X4,relation_dom(X1)) )
& ( in(X4,relation_dom(X1))
| ~ in(X4,relation_dom(X2))
| ~ in(apply(X2,X4),X0) ) )
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X2,X3) = apply(X1,X3) ) )
| ~ sP0(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X2,X0] :
( sP0(X1,X2,X0)
<=> ( ! [X4] :
( ( in(X4,relation_dom(X2))
& in(apply(X2,X4),X0) )
<=> in(X4,relation_dom(X1)) )
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X2,X3) = apply(X1,X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f155,plain,
! [X0] : sP0(relation_rng_restriction(X0,sK3),sK3,X0),
inference(unit_resulting_resolution,[],[f143,f124]) ).
fof(f124,plain,
! [X2,X1] :
( ~ sP1(relation_rng_restriction(X2,X1),X1,X2)
| sP0(relation_rng_restriction(X2,X1),X1,X2) ),
inference(equality_resolution,[],[f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| relation_rng_restriction(X2,X1) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( ( sP0(X0,X1,X2)
| relation_rng_restriction(X2,X1) != X0 )
& ( relation_rng_restriction(X2,X1) = X0
| ~ sP0(X0,X1,X2) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X2,X0] :
( ( ( sP0(X1,X2,X0)
| relation_rng_restriction(X0,X2) != X1 )
& ( relation_rng_restriction(X0,X2) = X1
| ~ sP0(X1,X2,X0) ) )
| ~ sP1(X1,X2,X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X1,X2,X0] :
( ( sP0(X1,X2,X0)
<=> relation_rng_restriction(X0,X2) = X1 )
| ~ sP1(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f143,plain,
! [X0,X1] : sP1(relation_rng_restriction(X0,sK3),sK3,X1),
inference(unit_resulting_resolution,[],[f86,f87,f125,f134,f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( sP1(X1,X2,X0)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| sP1(X1,X2,X0)
| ~ relation(X2) ) ),
inference(definition_folding,[],[f46,f54,f53]) ).
fof(f46,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ( ( ! [X4] :
( ( in(X4,relation_dom(X2))
& in(apply(X2,X4),X0) )
<=> in(X4,relation_dom(X1)) )
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X2,X3) = apply(X1,X3) ) )
<=> relation_rng_restriction(X0,X2) = X1 )
| ~ relation(X2) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ! [X2] :
( ( ( ! [X4] :
( ( in(X4,relation_dom(X2))
& in(apply(X2,X4),X0) )
<=> in(X4,relation_dom(X1)) )
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X2,X3) = apply(X1,X3) ) )
<=> relation_rng_restriction(X0,X2) = X1 )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X4] :
( ( in(X4,relation_dom(X2))
& in(apply(X2,X4),X0) )
<=> in(X4,relation_dom(X1)) ) ) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f134,plain,
! [X0] : function(relation_rng_restriction(X0,sK3)),
inference(unit_resulting_resolution,[],[f86,f87,f122]) ).
fof(f122,plain,
! [X0,X1] :
( function(relation_rng_restriction(X1,X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ( relation(relation_rng_restriction(X1,X0))
& function(relation_rng_restriction(X1,X0)) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( relation(relation_rng_restriction(X1,X0))
& function(relation_rng_restriction(X1,X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( relation(relation_rng_restriction(X1,X0))
& function(relation_rng_restriction(X1,X0)) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f125,plain,
! [X0] : relation(relation_rng_restriction(X0,sK3)),
inference(unit_resulting_resolution,[],[f86,f84]) ).
fof(f84,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f87,plain,
function(sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( one_to_one(sK3)
& function(sK3)
& relation(sK3)
& ~ one_to_one(relation_rng_restriction(sK4,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f59,f60]) ).
fof(f60,plain,
( ? [X0,X1] :
( one_to_one(X0)
& function(X0)
& relation(X0)
& ~ one_to_one(relation_rng_restriction(X1,X0)) )
=> ( one_to_one(sK3)
& function(sK3)
& relation(sK3)
& ~ one_to_one(relation_rng_restriction(sK4,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1] :
( one_to_one(X0)
& function(X0)
& relation(X0)
& ~ one_to_one(relation_rng_restriction(X1,X0)) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
? [X1,X0] :
( one_to_one(X1)
& function(X1)
& relation(X1)
& ~ one_to_one(relation_rng_restriction(X0,X1)) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_rng_restriction(X0,X1)) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_funct_1) ).
fof(f86,plain,
relation(sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f150,plain,
in(sK11(relation_rng_restriction(sK4,sK3)),relation_dom(relation_rng_restriction(sK4,sK3))),
inference(unit_resulting_resolution,[],[f85,f125,f134,f116]) ).
fof(f116,plain,
! [X0] :
( in(sK11(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK10(X0) != sK11(X0)
& in(sK11(X0),relation_dom(X0))
& apply(X0,sK10(X0)) = apply(X0,sK11(X0))
& in(sK10(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4)
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f77,f78]) ).
fof(f78,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0)) )
=> ( sK10(X0) != sK11(X0)
& in(sK11(X0),relation_dom(X0))
& apply(X0,sK10(X0)) = apply(X0,sK11(X0))
& in(sK10(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4)
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X2,X1] :
( X1 != X2
& in(X1,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0)) ) )
& ( ! [X2,X1] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X2,X1] :
( ( in(X1,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0)) )
=> X1 = X2 ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X2,X1] :
( ( in(X1,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f85,plain,
~ one_to_one(relation_rng_restriction(sK4,sK3)),
inference(cnf_transformation,[],[f61]) ).
fof(f189,plain,
~ in(sK11(relation_rng_restriction(sK4,sK3)),relation_dom(sK3)),
inference(unit_resulting_resolution,[],[f87,f88,f86,f151,f178,f170,f113]) ).
fof(f113,plain,
! [X3,X0,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ in(X3,relation_dom(X0))
| ~ one_to_one(X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f79]) ).
fof(f170,plain,
in(sK10(relation_rng_restriction(sK4,sK3)),relation_dom(sK3)),
inference(unit_resulting_resolution,[],[f148,f155,f100]) ).
fof(f148,plain,
in(sK10(relation_rng_restriction(sK4,sK3)),relation_dom(relation_rng_restriction(sK4,sK3))),
inference(unit_resulting_resolution,[],[f85,f125,f134,f114]) ).
fof(f114,plain,
! [X0] :
( in(sK10(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f178,plain,
apply(sK3,sK10(relation_rng_restriction(sK4,sK3))) = apply(sK3,sK11(relation_rng_restriction(sK4,sK3))),
inference(backward_demodulation,[],[f177,f175]) ).
fof(f175,plain,
apply(sK3,sK10(relation_rng_restriction(sK4,sK3))) = apply(relation_rng_restriction(sK4,sK3),sK10(relation_rng_restriction(sK4,sK3))),
inference(unit_resulting_resolution,[],[f148,f155,f97]) ).
fof(f97,plain,
! [X2,X0,X1,X6] :
( ~ sP0(X0,X1,X2)
| ~ in(X6,relation_dom(X0))
| apply(X1,X6) = apply(X0,X6) ),
inference(cnf_transformation,[],[f73]) ).
fof(f177,plain,
apply(relation_rng_restriction(sK4,sK3),sK10(relation_rng_restriction(sK4,sK3))) = apply(sK3,sK11(relation_rng_restriction(sK4,sK3))),
inference(backward_demodulation,[],[f149,f176]) ).
fof(f176,plain,
apply(relation_rng_restriction(sK4,sK3),sK11(relation_rng_restriction(sK4,sK3))) = apply(sK3,sK11(relation_rng_restriction(sK4,sK3))),
inference(unit_resulting_resolution,[],[f150,f155,f97]) ).
fof(f149,plain,
apply(relation_rng_restriction(sK4,sK3),sK11(relation_rng_restriction(sK4,sK3))) = apply(relation_rng_restriction(sK4,sK3),sK10(relation_rng_restriction(sK4,sK3))),
inference(unit_resulting_resolution,[],[f125,f85,f134,f115]) ).
fof(f115,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| one_to_one(X0)
| apply(X0,sK10(X0)) = apply(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f151,plain,
sK11(relation_rng_restriction(sK4,sK3)) != sK10(relation_rng_restriction(sK4,sK3)),
inference(unit_resulting_resolution,[],[f125,f85,f134,f117]) ).
fof(f117,plain,
! [X0] :
( sK10(X0) != sK11(X0)
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f88,plain,
one_to_one(sK3),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU048+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:51:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 % (28621)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.48 % (28621)Refutation not found, incomplete strategy% (28621)------------------------------
% 0.20/0.48 % (28621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (28621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (28621)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (28621)Memory used [KB]: 6012
% 0.20/0.49 % (28621)Time elapsed: 0.097 s
% 0.20/0.49 % (28621)Instructions burned: 2 (million)
% 0.20/0.49 % (28621)------------------------------
% 0.20/0.49 % (28621)------------------------------
% 0.20/0.49 % (28647)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.49 % (28624)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (28645)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (28638)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.50 % (28619)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (28619)Instruction limit reached!
% 0.20/0.50 % (28619)------------------------------
% 0.20/0.50 % (28619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28619)Termination reason: Unknown
% 0.20/0.50 % (28619)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (28619)Memory used [KB]: 1535
% 0.20/0.50 % (28619)Time elapsed: 0.004 s
% 0.20/0.50 % (28619)Instructions burned: 3 (million)
% 0.20/0.50 % (28619)------------------------------
% 0.20/0.50 % (28619)------------------------------
% 0.20/0.50 % (28627)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.50 % (28644)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.50 % (28629)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (28645)Refutation not found, incomplete strategy% (28645)------------------------------
% 0.20/0.51 % (28645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28618)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (28645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28645)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (28645)Memory used [KB]: 6140
% 0.20/0.51 % (28645)Time elapsed: 0.108 s
% 0.20/0.51 % (28622)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51 % (28645)Instructions burned: 5 (million)
% 0.20/0.51 % (28645)------------------------------
% 0.20/0.51 % (28645)------------------------------
% 0.20/0.51 % (28627)Instruction limit reached!
% 0.20/0.51 % (28627)------------------------------
% 0.20/0.51 % (28627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28627)Termination reason: Unknown
% 0.20/0.51 % (28627)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (28627)Memory used [KB]: 6140
% 0.20/0.51 % (28627)Time elapsed: 0.117 s
% 0.20/0.51 % (28627)Instructions burned: 12 (million)
% 0.20/0.51 % (28627)------------------------------
% 0.20/0.51 % (28627)------------------------------
% 0.20/0.51 % (28632)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (28617)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (28620)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (28639)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (28632)Instruction limit reached!
% 0.20/0.52 % (28632)------------------------------
% 0.20/0.52 % (28632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28647)Instruction limit reached!
% 0.20/0.52 % (28647)------------------------------
% 0.20/0.52 % (28647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28647)Termination reason: Unknown
% 0.20/0.52 % (28647)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (28647)Memory used [KB]: 6140
% 0.20/0.52 % (28647)Time elapsed: 0.134 s
% 0.20/0.52 % (28647)Instructions burned: 8 (million)
% 0.20/0.52 % (28647)------------------------------
% 0.20/0.52 % (28647)------------------------------
% 0.20/0.52 % (28632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28632)Termination reason: Unknown
% 0.20/0.52 % (28632)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (28632)Memory used [KB]: 6140
% 0.20/0.52 % (28632)Time elapsed: 0.084 s
% 0.20/0.52 % (28632)Instructions burned: 8 (million)
% 0.20/0.52 % (28632)------------------------------
% 0.20/0.52 % (28632)------------------------------
% 0.20/0.52 % (28646)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (28648)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (28623)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (28634)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (28623)Refutation not found, incomplete strategy% (28623)------------------------------
% 0.20/0.53 % (28623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28623)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (28623)Memory used [KB]: 5884
% 0.20/0.53 % (28623)Time elapsed: 0.122 s
% 0.20/0.53 % (28623)Instructions burned: 2 (million)
% 0.20/0.53 % (28623)------------------------------
% 0.20/0.53 % (28623)------------------------------
% 0.20/0.53 % (28618)Refutation not found, incomplete strategy% (28618)------------------------------
% 0.20/0.53 % (28618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28618)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (28618)Memory used [KB]: 6012
% 0.20/0.53 % (28618)Time elapsed: 0.131 s
% 0.20/0.53 % (28618)Instructions burned: 2 (million)
% 0.20/0.53 % (28618)------------------------------
% 0.20/0.53 % (28618)------------------------------
% 1.46/0.53 % (28626)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.46/0.53 % (28625)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.46/0.53 % (28636)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.46/0.53 % (28622)Refutation not found, incomplete strategy% (28622)------------------------------
% 1.46/0.53 % (28622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.53 % (28622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.53 % (28622)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.53
% 1.46/0.53 % (28622)Memory used [KB]: 1535
% 1.46/0.53 % (28622)Time elapsed: 0.134 s
% 1.46/0.53 % (28622)Instructions burned: 4 (million)
% 1.46/0.53 % (28622)------------------------------
% 1.46/0.53 % (28622)------------------------------
% 1.46/0.53 % (28629)Instruction limit reached!
% 1.46/0.53 % (28629)------------------------------
% 1.46/0.53 % (28629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.53 % (28629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.53 % (28629)Termination reason: Unknown
% 1.46/0.53 % (28629)Termination phase: Saturation
% 1.46/0.53
% 1.46/0.53 % (28629)Memory used [KB]: 1663
% 1.46/0.53 % (28629)Time elapsed: 0.117 s
% 1.46/0.53 % (28629)Instructions burned: 16 (million)
% 1.46/0.53 % (28629)------------------------------
% 1.46/0.53 % (28629)------------------------------
% 1.46/0.54 % (28620)First to succeed.
% 1.46/0.54 % (28633)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.54 % (28642)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.46/0.54 % (28620)Refutation found. Thanks to Tanya!
% 1.46/0.54 % SZS status Theorem for theBenchmark
% 1.46/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.54 % (28620)------------------------------
% 1.46/0.54 % (28620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (28620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (28620)Termination reason: Refutation
% 1.46/0.54
% 1.46/0.54 % (28620)Memory used [KB]: 6140
% 1.46/0.54 % (28620)Time elapsed: 0.120 s
% 1.46/0.54 % (28620)Instructions burned: 8 (million)
% 1.46/0.54 % (28620)------------------------------
% 1.46/0.54 % (28620)------------------------------
% 1.46/0.54 % (28610)Success in time 0.184 s
%------------------------------------------------------------------------------