TSTP Solution File: SET995+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET995+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 : n008.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 18:26:17 EDT 2022
% Result : Theorem 1.84s 0.59s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 26 unt; 0 def)
% Number of atoms : 403 ( 175 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 493 ( 178 ~; 176 |; 110 &)
% ( 8 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 133 ( 99 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1410,plain,
$false,
inference(subsumption_resolution,[],[f1409,f183]) ).
fof(f183,plain,
sF19 = relation_dom(sK13),
introduced(function_definition,[]) ).
fof(f1409,plain,
sF19 != relation_dom(sK13),
inference(forward_demodulation,[],[f1408,f189]) ).
fof(f189,plain,
sF19 = relation_dom(sK14),
inference(forward_demodulation,[],[f184,f185]) ).
fof(f185,plain,
sF19 = sF20,
inference(definition_folding,[],[f159,f184,f183]) ).
fof(f159,plain,
relation_dom(sK13) = relation_dom(sK14),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( relation(sK13)
& function(sK13)
& relation(sK14)
& function(sK14)
& sK13 != sK14
& singleton(sK12) = relation_rng(sK14)
& relation_dom(sK13) = relation_dom(sK14)
& singleton(sK12) = relation_rng(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f106,f108,f107]) ).
fof(f107,plain,
( ? [X0,X1] :
( relation(X1)
& function(X1)
& ? [X2] :
( relation(X2)
& function(X2)
& X1 != X2
& singleton(X0) = relation_rng(X2)
& relation_dom(X1) = relation_dom(X2)
& singleton(X0) = relation_rng(X1) ) )
=> ( relation(sK13)
& function(sK13)
& ? [X2] :
( relation(X2)
& function(X2)
& sK13 != X2
& relation_rng(X2) = singleton(sK12)
& relation_dom(X2) = relation_dom(sK13)
& singleton(sK12) = relation_rng(sK13) ) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
( ? [X2] :
( relation(X2)
& function(X2)
& sK13 != X2
& relation_rng(X2) = singleton(sK12)
& relation_dom(X2) = relation_dom(sK13)
& singleton(sK12) = relation_rng(sK13) )
=> ( relation(sK14)
& function(sK14)
& sK13 != sK14
& singleton(sK12) = relation_rng(sK14)
& relation_dom(sK13) = relation_dom(sK14)
& singleton(sK12) = relation_rng(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0,X1] :
( relation(X1)
& function(X1)
& ? [X2] :
( relation(X2)
& function(X2)
& X1 != X2
& singleton(X0) = relation_rng(X2)
& relation_dom(X1) = relation_dom(X2)
& singleton(X0) = relation_rng(X1) ) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
? [X1,X0] :
( relation(X0)
& function(X0)
& ? [X2] :
( relation(X2)
& function(X2)
& X0 != X2
& relation_rng(X2) = singleton(X1)
& relation_dom(X0) = relation_dom(X2)
& relation_rng(X0) = singleton(X1) ) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
? [X0,X1] :
( ? [X2] :
( X0 != X2
& relation_rng(X2) = singleton(X1)
& relation_dom(X0) = relation_dom(X2)
& relation_rng(X0) = singleton(X1)
& function(X2)
& relation(X2) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
~ ! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_rng(X2) = singleton(X1)
& relation_dom(X0) = relation_dom(X2)
& relation_rng(X0) = singleton(X1) )
=> X0 = X2 ) ) ),
inference(rectify,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& singleton(X0) = relation_rng(X1)
& singleton(X0) = relation_rng(X2) )
=> X1 = X2 ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& singleton(X0) = relation_rng(X1)
& singleton(X0) = relation_rng(X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
fof(f184,plain,
sF20 = relation_dom(sK14),
introduced(function_definition,[]) ).
fof(f1408,plain,
relation_dom(sK13) != relation_dom(sK14),
inference(subsumption_resolution,[],[f1407,f164]) ).
fof(f164,plain,
function(sK13),
inference(cnf_transformation,[],[f109]) ).
fof(f1407,plain,
( relation_dom(sK13) != relation_dom(sK14)
| ~ function(sK13) ),
inference(subsumption_resolution,[],[f1406,f165]) ).
fof(f165,plain,
relation(sK13),
inference(cnf_transformation,[],[f109]) ).
fof(f1406,plain,
( ~ relation(sK13)
| relation_dom(sK13) != relation_dom(sK14)
| ~ function(sK13) ),
inference(subsumption_resolution,[],[f1405,f162]) ).
fof(f162,plain,
function(sK14),
inference(cnf_transformation,[],[f109]) ).
fof(f1405,plain,
( ~ function(sK14)
| relation_dom(sK13) != relation_dom(sK14)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(subsumption_resolution,[],[f1404,f161]) ).
fof(f161,plain,
sK13 != sK14,
inference(cnf_transformation,[],[f109]) ).
fof(f1404,plain,
( sK13 = sK14
| ~ function(sK14)
| ~ function(sK13)
| ~ relation(sK13)
| relation_dom(sK13) != relation_dom(sK14) ),
inference(subsumption_resolution,[],[f1403,f163]) ).
fof(f163,plain,
relation(sK14),
inference(cnf_transformation,[],[f109]) ).
fof(f1403,plain,
( relation_dom(sK13) != relation_dom(sK14)
| ~ relation(sK14)
| ~ function(sK13)
| ~ function(sK14)
| sK13 = sK14
| ~ relation(sK13) ),
inference(subsumption_resolution,[],[f1401,f1367]) ).
fof(f1367,plain,
sK12 = apply(sK13,sK10(sK13,sK14)),
inference(resolution,[],[f1361,f245]) ).
fof(f245,plain,
! [X0] :
( ~ in(X0,sF17)
| sK12 = X0 ),
inference(superposition,[],[f177,f180]) ).
fof(f180,plain,
singleton(sK12) = sF17,
introduced(function_definition,[]) ).
fof(f177,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f156]) ).
fof(f156,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X0 = X2
| ~ in(X2,X1) )
& ( in(X2,X1)
| X0 != X2 ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ( ( ~ in(sK11(X0,X1),X1)
| sK11(X0,X1) != X0 )
& ( in(sK11(X0,X1),X1)
| sK11(X0,X1) = X0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f103,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ in(X3,X1)
| X0 != X3 )
& ( in(X3,X1)
| X0 = X3 ) )
=> ( ( ~ in(sK11(X0,X1),X1)
| sK11(X0,X1) != X0 )
& ( in(sK11(X0,X1),X1)
| sK11(X0,X1) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X0 = X2
| ~ in(X2,X1) )
& ( in(X2,X1)
| X0 != X2 ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| X0 != X3 )
& ( in(X3,X1)
| X0 = X3 ) ) ) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X0 = X2
| ~ in(X2,X1) )
& ( in(X2,X1)
| X0 != X2 ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| X0 != X2 )
& ( in(X2,X1)
| X0 = X2 ) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ! [X2] :
( X0 = X2
<=> in(X2,X1) )
<=> singleton(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f1361,plain,
in(apply(sK13,sK10(sK13,sK14)),sF17),
inference(subsumption_resolution,[],[f1360,f163]) ).
fof(f1360,plain,
( ~ relation(sK14)
| in(apply(sK13,sK10(sK13,sK14)),sF17) ),
inference(subsumption_resolution,[],[f1359,f189]) ).
fof(f1359,plain,
( in(apply(sK13,sK10(sK13,sK14)),sF17)
| sF19 != relation_dom(sK14)
| ~ relation(sK14) ),
inference(subsumption_resolution,[],[f1357,f161]) ).
fof(f1357,plain,
( in(apply(sK13,sK10(sK13,sK14)),sF17)
| sK13 = sK14
| sF19 != relation_dom(sK14)
| ~ relation(sK14) ),
inference(resolution,[],[f433,f162]) ).
fof(f433,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| relation_dom(X0) != sF19
| sK13 = X0
| in(apply(sK13,sK10(sK13,X0)),sF17) ),
inference(resolution,[],[f350,f272]) ).
fof(f272,plain,
! [X3] :
( ~ in(X3,sF19)
| in(apply(sK13,X3),sF17) ),
inference(forward_demodulation,[],[f271,f183]) ).
fof(f271,plain,
! [X3] :
( in(apply(sK13,X3),sF17)
| ~ in(X3,relation_dom(sK13)) ),
inference(forward_demodulation,[],[f270,f190]) ).
fof(f190,plain,
relation_rng(sK13) = sF17,
inference(forward_demodulation,[],[f186,f187]) ).
fof(f187,plain,
sF17 = sF21,
inference(definition_folding,[],[f158,f186,f180]) ).
fof(f158,plain,
singleton(sK12) = relation_rng(sK13),
inference(cnf_transformation,[],[f109]) ).
fof(f186,plain,
relation_rng(sK13) = sF21,
introduced(function_definition,[]) ).
fof(f270,plain,
! [X3] :
( in(apply(sK13,X3),relation_rng(sK13))
| ~ in(X3,relation_dom(sK13)) ),
inference(subsumption_resolution,[],[f265,f165]) ).
fof(f265,plain,
! [X3] :
( ~ in(X3,relation_dom(sK13))
| in(apply(sK13,X3),relation_rng(sK13))
| ~ relation(sK13) ),
inference(resolution,[],[f174,f164]) ).
fof(f174,plain,
! [X3,X0] :
( ~ function(X0)
| ~ in(X3,relation_dom(X0))
| ~ relation(X0)
| in(apply(X0,X3),relation_rng(X0)) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,plain,
! [X3,X0,X1] :
( ~ relation(X0)
| in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ( apply(X0,sK6(X0,X2)) = X2
& in(sK6(X0,X2),relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ! [X6] :
( apply(X0,X6) != sK7(X0,X1)
| ~ in(X6,relation_dom(X0)) )
| ~ in(sK7(X0,X1),X1) )
& ( ( sK7(X0,X1) = apply(X0,sK8(X0,X1))
& in(sK8(X0,X1),relation_dom(X0)) )
| in(sK7(X0,X1),X1) ) ) ) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f92,f95,f94,f93]) ).
fof(f93,plain,
! [X0,X2] :
( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
=> ( apply(X0,sK6(X0,X2)) = X2
& in(sK6(X0,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| ~ in(X5,X1) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| in(X5,X1) ) )
=> ( ( ! [X6] :
( apply(X0,X6) != sK7(X0,X1)
| ~ in(X6,relation_dom(X0)) )
| ~ in(sK7(X0,X1),X1) )
& ( ? [X7] :
( apply(X0,X7) = sK7(X0,X1)
& in(X7,relation_dom(X0)) )
| in(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X7] :
( apply(X0,X7) = sK7(X0,X1)
& in(X7,relation_dom(X0)) )
=> ( sK7(X0,X1) = apply(X0,sK8(X0,X1))
& in(sK8(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X5] :
( ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| ~ in(X5,X1) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| in(X5,X1) ) ) ) )
| ~ function(X0) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 )
| ~ function(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f350,plain,
! [X3] :
( in(sK10(sK13,X3),sF19)
| ~ relation(X3)
| ~ function(X3)
| sK13 = X3
| sF19 != relation_dom(X3) ),
inference(forward_demodulation,[],[f349,f183]) ).
fof(f349,plain,
! [X3] :
( ~ function(X3)
| in(sK10(sK13,X3),relation_dom(sK13))
| sK13 = X3
| sF19 != relation_dom(X3)
| ~ relation(X3) ),
inference(forward_demodulation,[],[f348,f183]) ).
fof(f348,plain,
! [X3] :
( ~ function(X3)
| sK13 = X3
| ~ relation(X3)
| relation_dom(sK13) != relation_dom(X3)
| in(sK10(sK13,X3),relation_dom(sK13)) ),
inference(subsumption_resolution,[],[f345,f165]) ).
fof(f345,plain,
! [X3] :
( in(sK10(sK13,X3),relation_dom(sK13))
| sK13 = X3
| ~ relation(X3)
| ~ relation(sK13)
| ~ function(X3)
| relation_dom(sK13) != relation_dom(X3) ),
inference(resolution,[],[f152,f164]) ).
fof(f152,plain,
! [X0,X1] :
( ~ function(X0)
| X0 = X1
| in(sK10(X0,X1),relation_dom(X0))
| relation_dom(X0) != relation_dom(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ~ function(X1)
| ~ relation(X1)
| relation_dom(X0) != relation_dom(X1)
| ( in(sK10(X0,X1),relation_dom(X0))
& apply(X1,sK10(X0,X1)) != apply(X0,sK10(X0,X1)) )
| X0 = X1 )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f72,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
=> ( in(sK10(X0,X1),relation_dom(X0))
& apply(X1,sK10(X0,X1)) != apply(X0,sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ~ function(X1)
| ~ relation(X1)
| relation_dom(X0) != relation_dom(X1)
| ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
| X0 = X1 )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
| relation_dom(X0) != relation_dom(X1)
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( ! [X2] :
( in(X2,relation_dom(X0))
=> apply(X0,X2) = apply(X1,X2) )
& relation_dom(X0) = relation_dom(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
fof(f1401,plain,
( sK12 != apply(sK13,sK10(sK13,sK14))
| ~ function(sK13)
| ~ relation(sK13)
| ~ function(sK14)
| sK13 = sK14
| ~ relation(sK14)
| relation_dom(sK13) != relation_dom(sK14) ),
inference(superposition,[],[f151,f1391]) ).
fof(f1391,plain,
apply(sK14,sK10(sK13,sK14)) = sK12,
inference(resolution,[],[f1386,f245]) ).
fof(f1386,plain,
in(apply(sK14,sK10(sK13,sK14)),sF17),
inference(subsumption_resolution,[],[f1385,f189]) ).
fof(f1385,plain,
( in(apply(sK14,sK10(sK13,sK14)),sF17)
| sF19 != relation_dom(sK14) ),
inference(subsumption_resolution,[],[f1384,f161]) ).
fof(f1384,plain,
( sK13 = sK14
| in(apply(sK14,sK10(sK13,sK14)),sF17)
| sF19 != relation_dom(sK14) ),
inference(subsumption_resolution,[],[f1381,f163]) ).
fof(f1381,plain,
( ~ relation(sK14)
| sF19 != relation_dom(sK14)
| sK13 = sK14
| in(apply(sK14,sK10(sK13,sK14)),sF17) ),
inference(resolution,[],[f434,f162]) ).
fof(f434,plain,
! [X1] :
( ~ function(X1)
| ~ relation(X1)
| relation_dom(X1) != sF19
| in(apply(sK14,sK10(sK13,X1)),sF17)
| sK13 = X1 ),
inference(resolution,[],[f350,f269]) ).
fof(f269,plain,
! [X4] :
( ~ in(X4,sF19)
| in(apply(sK14,X4),sF17) ),
inference(forward_demodulation,[],[f268,f189]) ).
fof(f268,plain,
! [X4] :
( in(apply(sK14,X4),sF17)
| ~ in(X4,relation_dom(sK14)) ),
inference(forward_demodulation,[],[f267,f188]) ).
fof(f188,plain,
relation_rng(sK14) = sF17,
inference(backward_demodulation,[],[f181,f182]) ).
fof(f182,plain,
sF17 = sF18,
inference(definition_folding,[],[f160,f181,f180]) ).
fof(f160,plain,
singleton(sK12) = relation_rng(sK14),
inference(cnf_transformation,[],[f109]) ).
fof(f181,plain,
relation_rng(sK14) = sF18,
introduced(function_definition,[]) ).
fof(f267,plain,
! [X4] :
( in(apply(sK14,X4),relation_rng(sK14))
| ~ in(X4,relation_dom(sK14)) ),
inference(subsumption_resolution,[],[f266,f163]) ).
fof(f266,plain,
! [X4] :
( ~ in(X4,relation_dom(sK14))
| in(apply(sK14,X4),relation_rng(sK14))
| ~ relation(sK14) ),
inference(resolution,[],[f174,f162]) ).
fof(f151,plain,
! [X0,X1] :
( apply(X1,sK10(X0,X1)) != apply(X0,sK10(X0,X1))
| ~ relation(X0)
| ~ function(X1)
| X0 = X1
| ~ function(X0)
| ~ relation(X1)
| relation_dom(X0) != relation_dom(X1) ),
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET995+1 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.29 % Computer : n008.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 30 14:37:55 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.14/0.45 % (32219)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)
% 0.14/0.46 % (32215)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)
% 0.14/0.46 % (32239)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)
% 0.14/0.46 % (32236)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)
% 0.14/0.47 % (32235)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)
% 0.14/0.47 TRYING [1]
% 0.14/0.47 TRYING [2]
% 0.14/0.47 % (32228)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)
% 0.14/0.47 % (32223)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.47 TRYING [3]
% 0.14/0.47 % (32231)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.47 % (32221)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.47 % (32221)Instruction limit reached!
% 0.14/0.47 % (32221)------------------------------
% 0.14/0.47 % (32221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (32221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (32221)Termination reason: Unknown
% 0.14/0.47 % (32221)Termination phase: Blocked clause elimination
% 0.14/0.47
% 0.14/0.47 % (32221)Memory used [KB]: 895
% 0.14/0.47 % (32221)Time elapsed: 0.002 s
% 0.14/0.47 % (32221)Instructions burned: 3 (million)
% 0.14/0.47 % (32221)------------------------------
% 0.14/0.47 % (32221)------------------------------
% 0.14/0.48 % (32213)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)
% 0.14/0.48 % (32220)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.48 TRYING [1]
% 0.14/0.48 TRYING [2]
% 0.14/0.48 TRYING [3]
% 0.14/0.48 TRYING [4]
% 0.14/0.49 % (32227)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)
% 0.14/0.49 % (32237)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.49 % (32216)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)
% 0.14/0.49 % (32220)Instruction limit reached!
% 0.14/0.49 % (32220)------------------------------
% 0.14/0.49 % (32220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (32220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (32220)Termination reason: Unknown
% 0.14/0.49 % (32220)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (32220)Memory used [KB]: 5628
% 0.14/0.50 % (32220)Time elapsed: 0.091 s
% 0.14/0.50 % (32220)Instructions burned: 7 (million)
% 0.14/0.50 % (32220)------------------------------
% 0.14/0.50 % (32220)------------------------------
% 0.14/0.50 % (32214)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)
% 0.14/0.50 % (32229)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)
% 0.14/0.50 % (32234)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.50 % (32217)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.50 % (32218)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)
% 0.14/0.51 TRYING [4]
% 0.14/0.51 % (32226)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.52 % (32224)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)
% 0.14/0.52 % (32222)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)
% 0.14/0.52 % (32225)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.52 % (32214)Refutation not found, incomplete strategy% (32214)------------------------------
% 0.14/0.52 % (32214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (32214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (32214)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.52
% 0.14/0.52 % (32214)Memory used [KB]: 5628
% 0.14/0.52 % (32214)Time elapsed: 0.142 s
% 0.14/0.52 % (32214)Instructions burned: 7 (million)
% 0.14/0.52 % (32214)------------------------------
% 0.14/0.52 % (32214)------------------------------
% 0.14/0.52 % (32232)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)
% 0.14/0.52 % (32241)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.72/0.53 % (32219)Instruction limit reached!
% 1.72/0.53 % (32219)------------------------------
% 1.72/0.53 % (32219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.53 % (32219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.53 % (32219)Termination reason: Unknown
% 1.72/0.53 % (32219)Termination phase: Finite model building constraint generation
% 1.72/0.53
% 1.72/0.53 % (32219)Memory used [KB]: 6908
% 1.72/0.53 % (32219)Time elapsed: 0.136 s
% 1.72/0.53 % (32219)Instructions burned: 52 (million)
% 1.72/0.53 % (32219)------------------------------
% 1.72/0.53 % (32219)------------------------------
% 1.72/0.53 % (32230)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.72/0.53 % (32242)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)
% 1.72/0.53 TRYING [1]
% 1.72/0.53 TRYING [2]
% 1.72/0.53 % (32240)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)
% 1.72/0.54 TRYING [3]
% 1.72/0.54 % (32233)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)
% 1.72/0.54 % (32215)Instruction limit reached!
% 1.72/0.54 % (32215)------------------------------
% 1.72/0.54 % (32215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.54 % (32215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.54 % (32215)Termination reason: Unknown
% 1.72/0.54 % (32215)Termination phase: Saturation
% 1.72/0.54
% 1.72/0.54 % (32215)Memory used [KB]: 1407
% 1.72/0.54 % (32215)Time elapsed: 0.196 s
% 1.72/0.54 % (32215)Instructions burned: 38 (million)
% 1.72/0.54 % (32215)------------------------------
% 1.72/0.54 % (32215)------------------------------
% 1.84/0.55 % (32238)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.84/0.55 TRYING [5]
% 1.84/0.56 TRYING [4]
% 1.84/0.58 % (32216)Instruction limit reached!
% 1.84/0.58 % (32216)------------------------------
% 1.84/0.58 % (32216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58 % (32216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.58 % (32216)Termination reason: Unknown
% 1.84/0.58 % (32216)Termination phase: Saturation
% 1.84/0.58
% 1.84/0.58 % (32216)Memory used [KB]: 5884
% 1.84/0.58 % (32216)Time elapsed: 0.228 s
% 1.84/0.58 % (32216)Instructions burned: 51 (million)
% 1.84/0.58 % (32216)------------------------------
% 1.84/0.58 % (32216)------------------------------
% 1.84/0.58 % (32228)First to succeed.
% 1.84/0.59 % (32228)Refutation found. Thanks to Tanya!
% 1.84/0.59 % SZS status Theorem for theBenchmark
% 1.84/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.59 % (32228)------------------------------
% 1.84/0.59 % (32228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (32228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (32228)Termination reason: Refutation
% 1.84/0.59
% 1.84/0.59 % (32228)Memory used [KB]: 1791
% 1.84/0.59 % (32228)Time elapsed: 0.173 s
% 1.84/0.59 % (32228)Instructions burned: 68 (million)
% 1.84/0.59 % (32228)------------------------------
% 1.84/0.59 % (32228)------------------------------
% 1.84/0.59 % (32212)Success in time 0.283 s
%------------------------------------------------------------------------------