TSTP Solution File: SEU075+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU075+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 : n027.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 18:26:35 EDT 2022
% Result : Theorem 3.30s 0.93s
% Output : Refutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 11
% Syntax : Number of formulae : 83 ( 16 unt; 0 def)
% Number of atoms : 465 ( 168 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 612 ( 230 ~; 221 |; 129 &)
% ( 6 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 141 ( 106 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1227,plain,
$false,
inference(subsumption_resolution,[],[f1226,f358]) ).
fof(f358,plain,
in(sK11(sK4,sK3),sK1),
inference(subsumption_resolution,[],[f357,f144]) ).
fof(f144,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( relation(sK3)
& sK3 != sK4
& relation_dom(sK3) = sK1
& sK1 = relation_dom(sK4)
& function(sK4)
& sK1 = relation_rng(sK2)
& relation_composition(sK2,sK3) = relation_composition(sK2,sK4)
& relation(sK4)
& function(sK3)
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f65,f98,f97,f96]) ).
fof(f96,plain,
( ? [X0,X1] :
( ? [X2] :
( relation(X2)
& ? [X3] :
( X2 != X3
& relation_dom(X2) = X0
& relation_dom(X3) = X0
& function(X3)
& relation_rng(X1) = X0
& relation_composition(X1,X2) = relation_composition(X1,X3)
& relation(X3) )
& function(X2) )
& function(X1)
& relation(X1) )
=> ( ? [X2] :
( relation(X2)
& ? [X3] :
( X2 != X3
& relation_dom(X2) = sK1
& relation_dom(X3) = sK1
& function(X3)
& sK1 = relation_rng(sK2)
& relation_composition(sK2,X3) = relation_composition(sK2,X2)
& relation(X3) )
& function(X2) )
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X2] :
( relation(X2)
& ? [X3] :
( X2 != X3
& relation_dom(X2) = sK1
& relation_dom(X3) = sK1
& function(X3)
& sK1 = relation_rng(sK2)
& relation_composition(sK2,X3) = relation_composition(sK2,X2)
& relation(X3) )
& function(X2) )
=> ( relation(sK3)
& ? [X3] :
( sK3 != X3
& relation_dom(sK3) = sK1
& relation_dom(X3) = sK1
& function(X3)
& sK1 = relation_rng(sK2)
& relation_composition(sK2,X3) = relation_composition(sK2,sK3)
& relation(X3) )
& function(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X3] :
( sK3 != X3
& relation_dom(sK3) = sK1
& relation_dom(X3) = sK1
& function(X3)
& sK1 = relation_rng(sK2)
& relation_composition(sK2,X3) = relation_composition(sK2,sK3)
& relation(X3) )
=> ( sK3 != sK4
& relation_dom(sK3) = sK1
& sK1 = relation_dom(sK4)
& function(sK4)
& sK1 = relation_rng(sK2)
& relation_composition(sK2,sK3) = relation_composition(sK2,sK4)
& relation(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
? [X0,X1] :
( ? [X2] :
( relation(X2)
& ? [X3] :
( X2 != X3
& relation_dom(X2) = X0
& relation_dom(X3) = X0
& function(X3)
& relation_rng(X1) = X0
& relation_composition(X1,X2) = relation_composition(X1,X3)
& relation(X3) )
& function(X2) )
& function(X1)
& relation(X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( X2 != X3
& relation_dom(X3) = X0
& relation_rng(X1) = X0
& relation_dom(X2) = X0
& relation_composition(X1,X2) = relation_composition(X1,X3)
& relation(X3)
& function(X3) )
& function(X2)
& relation(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_dom(X3) = X0
& relation_rng(X1) = X0
& relation_dom(X2) = X0
& relation_composition(X1,X2) = relation_composition(X1,X3) )
=> X2 = X3 ) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_dom(X3) = X0
& relation_rng(X1) = X0
& relation_dom(X2) = X0
& relation_composition(X1,X2) = relation_composition(X1,X3) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_funct_1) ).
fof(f357,plain,
( sK3 = sK4
| in(sK11(sK4,sK3),sK1) ),
inference(subsumption_resolution,[],[f356,f137]) ).
fof(f137,plain,
function(sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f356,plain,
( in(sK11(sK4,sK3),sK1)
| ~ function(sK3)
| sK3 = sK4 ),
inference(subsumption_resolution,[],[f355,f145]) ).
fof(f145,plain,
relation(sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f355,plain,
( ~ relation(sK3)
| ~ function(sK3)
| in(sK11(sK4,sK3),sK1)
| sK3 = sK4 ),
inference(trivial_inequality_removal,[],[f354]) ).
fof(f354,plain,
( sK1 != sK1
| sK3 = sK4
| ~ function(sK3)
| ~ relation(sK3)
| in(sK11(sK4,sK3),sK1) ),
inference(superposition,[],[f245,f143]) ).
fof(f143,plain,
relation_dom(sK3) = sK1,
inference(cnf_transformation,[],[f99]) ).
fof(f245,plain,
! [X0] :
( relation_dom(X0) != sK1
| ~ function(X0)
| ~ relation(X0)
| in(sK11(sK4,X0),sK1)
| sK4 = X0 ),
inference(subsumption_resolution,[],[f244,f138]) ).
fof(f138,plain,
relation(sK4),
inference(cnf_transformation,[],[f99]) ).
fof(f244,plain,
! [X0] :
( ~ relation(sK4)
| ~ function(X0)
| sK4 = X0
| ~ relation(X0)
| in(sK11(sK4,X0),sK1)
| relation_dom(X0) != sK1 ),
inference(subsumption_resolution,[],[f233,f141]) ).
fof(f141,plain,
function(sK4),
inference(cnf_transformation,[],[f99]) ).
fof(f233,plain,
! [X0] :
( relation_dom(X0) != sK1
| ~ relation(X0)
| ~ function(sK4)
| ~ relation(sK4)
| in(sK11(sK4,X0),sK1)
| sK4 = X0
| ~ function(X0) ),
inference(superposition,[],[f168,f142]) ).
fof(f142,plain,
sK1 = relation_dom(sK4),
inference(cnf_transformation,[],[f99]) ).
fof(f168,plain,
! [X0,X1] :
( relation_dom(X0) != relation_dom(X1)
| in(sK11(X0,X1),relation_dom(X0))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| X0 = X1
| ~ function(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ~ function(X0)
| ! [X1] :
( ( in(sK11(X0,X1),relation_dom(X0))
& apply(X0,sK11(X0,X1)) != apply(X1,sK11(X0,X1)) )
| ~ relation(X1)
| ~ function(X1)
| relation_dom(X0) != relation_dom(X1)
| X0 = X1 )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f78,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
=> ( in(sK11(X0,X1),relation_dom(X0))
& apply(X0,sK11(X0,X1)) != apply(X1,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ~ function(X0)
| ! [X1] :
( ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
| ~ relation(X1)
| ~ function(X1)
| relation_dom(X0) != relation_dom(X1)
| X0 = X1 )
| ~ relation(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
| relation_dom(X0) != relation_dom(X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(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(f1226,plain,
~ in(sK11(sK4,sK3),sK1),
inference(forward_demodulation,[],[f1225,f140]) ).
fof(f140,plain,
sK1 = relation_rng(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f1225,plain,
~ in(sK11(sK4,sK3),relation_rng(sK2)),
inference(subsumption_resolution,[],[f1224,f135]) ).
fof(f135,plain,
relation(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f1224,plain,
( ~ relation(sK2)
| ~ in(sK11(sK4,sK3),relation_rng(sK2)) ),
inference(subsumption_resolution,[],[f1223,f136]) ).
fof(f136,plain,
function(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f1223,plain,
( ~ in(sK11(sK4,sK3),relation_rng(sK2))
| ~ function(sK2)
| ~ relation(sK2) ),
inference(resolution,[],[f1194,f209]) ).
fof(f209,plain,
! [X2,X0] :
( in(sK15(X0,X2),relation_dom(X0))
| ~ in(X2,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| in(sK15(X0,X2),relation_dom(X0))
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ( apply(X0,sK15(X0,X2)) = X2
& in(sK15(X0,X2),relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ! [X6] :
( sK16(X0,X1) != apply(X0,X6)
| ~ in(X6,relation_dom(X0)) )
| ~ in(sK16(X0,X1),X1) )
& ( ( apply(X0,sK17(X0,X1)) = sK16(X0,X1)
& in(sK17(X0,X1),relation_dom(X0)) )
| in(sK16(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f126,f129,f128,f127]) ).
fof(f127,plain,
! [X0,X2] :
( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
=> ( apply(X0,sK15(X0,X2)) = X2
& in(sK15(X0,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,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] :
( sK16(X0,X1) != apply(X0,X6)
| ~ in(X6,relation_dom(X0)) )
| ~ in(sK16(X0,X1),X1) )
& ( ? [X7] :
( apply(X0,X7) = sK16(X0,X1)
& in(X7,relation_dom(X0)) )
| in(sK16(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X7] :
( apply(X0,X7) = sK16(X0,X1)
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK17(X0,X1)) = sK16(X0,X1)
& in(sK17(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ~ relation(X0)
| ~ function(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) ) ) ) ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ relation(X0)
| ~ function(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) ) ) ) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 ) ),
inference(flattening,[],[f81]) ).
fof(f81,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(f1194,plain,
~ in(sK15(sK2,sK11(sK4,sK3)),relation_dom(sK2)),
inference(subsumption_resolution,[],[f1193,f143]) ).
fof(f1193,plain,
( relation_dom(sK3) != sK1
| ~ in(sK15(sK2,sK11(sK4,sK3)),relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f1192,f145]) ).
fof(f1192,plain,
( ~ relation(sK3)
| relation_dom(sK3) != sK1
| ~ in(sK15(sK2,sK11(sK4,sK3)),relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f1191,f144]) ).
fof(f1191,plain,
( sK3 = sK4
| relation_dom(sK3) != sK1
| ~ relation(sK3)
| ~ in(sK15(sK2,sK11(sK4,sK3)),relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f1190,f137]) ).
fof(f1190,plain,
( ~ function(sK3)
| relation_dom(sK3) != sK1
| ~ in(sK15(sK2,sK11(sK4,sK3)),relation_dom(sK2))
| ~ relation(sK3)
| sK3 = sK4 ),
inference(equality_resolution,[],[f577]) ).
fof(f577,plain,
! [X8] :
( apply(X8,sK11(sK4,X8)) != apply(sK3,sK11(sK4,X8))
| ~ in(sK15(sK2,sK11(sK4,X8)),relation_dom(sK2))
| ~ function(X8)
| sK4 = X8
| ~ relation(X8)
| relation_dom(X8) != sK1 ),
inference(subsumption_resolution,[],[f576,f245]) ).
fof(f576,plain,
! [X8] :
( ~ in(sK11(sK4,X8),sK1)
| relation_dom(X8) != sK1
| ~ function(X8)
| apply(X8,sK11(sK4,X8)) != apply(sK3,sK11(sK4,X8))
| ~ relation(X8)
| sK4 = X8
| ~ in(sK15(sK2,sK11(sK4,X8)),relation_dom(sK2)) ),
inference(forward_demodulation,[],[f575,f142]) ).
fof(f575,plain,
! [X8] :
( ~ relation(X8)
| ~ function(X8)
| apply(X8,sK11(sK4,X8)) != apply(sK3,sK11(sK4,X8))
| relation_dom(X8) != relation_dom(sK4)
| ~ in(sK15(sK2,sK11(sK4,X8)),relation_dom(sK2))
| sK4 = X8
| ~ in(sK11(sK4,X8),sK1) ),
inference(subsumption_resolution,[],[f574,f141]) ).
fof(f574,plain,
! [X8] :
( ~ function(X8)
| ~ function(sK4)
| sK4 = X8
| ~ in(sK11(sK4,X8),sK1)
| ~ in(sK15(sK2,sK11(sK4,X8)),relation_dom(sK2))
| relation_dom(X8) != relation_dom(sK4)
| ~ relation(X8)
| apply(X8,sK11(sK4,X8)) != apply(sK3,sK11(sK4,X8)) ),
inference(subsumption_resolution,[],[f567,f138]) ).
fof(f567,plain,
! [X8] :
( ~ relation(sK4)
| ~ function(X8)
| ~ in(sK11(sK4,X8),sK1)
| sK4 = X8
| ~ in(sK15(sK2,sK11(sK4,X8)),relation_dom(sK2))
| ~ function(sK4)
| apply(X8,sK11(sK4,X8)) != apply(sK3,sK11(sK4,X8))
| relation_dom(X8) != relation_dom(sK4)
| ~ relation(X8) ),
inference(superposition,[],[f167,f373]) ).
fof(f373,plain,
! [X0] :
( apply(sK4,X0) = apply(sK3,X0)
| ~ in(sK15(sK2,X0),relation_dom(sK2))
| ~ in(X0,sK1) ),
inference(forward_demodulation,[],[f372,f140]) ).
fof(f372,plain,
! [X0] :
( ~ in(sK15(sK2,X0),relation_dom(sK2))
| ~ in(X0,relation_rng(sK2))
| apply(sK4,X0) = apply(sK3,X0) ),
inference(subsumption_resolution,[],[f371,f135]) ).
fof(f371,plain,
! [X0] :
( ~ relation(sK2)
| apply(sK4,X0) = apply(sK3,X0)
| ~ in(X0,relation_rng(sK2))
| ~ in(sK15(sK2,X0),relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f364,f136]) ).
fof(f364,plain,
! [X0] :
( ~ function(sK2)
| apply(sK4,X0) = apply(sK3,X0)
| ~ in(X0,relation_rng(sK2))
| ~ relation(sK2)
| ~ in(sK15(sK2,X0),relation_dom(sK2)) ),
inference(superposition,[],[f344,f208]) ).
fof(f208,plain,
! [X2,X0] :
( apply(X0,sK15(X0,X2)) = X2
| ~ relation(X0)
| ~ function(X0)
| ~ in(X2,relation_rng(X0)) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| apply(X0,sK15(X0,X2)) = X2
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f344,plain,
! [X0] :
( apply(sK4,apply(sK2,X0)) = apply(sK3,apply(sK2,X0))
| ~ in(X0,relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f343,f137]) ).
fof(f343,plain,
! [X0] :
( ~ function(sK3)
| ~ in(X0,relation_dom(sK2))
| apply(sK4,apply(sK2,X0)) = apply(sK3,apply(sK2,X0)) ),
inference(subsumption_resolution,[],[f342,f145]) ).
fof(f342,plain,
! [X0] :
( apply(sK4,apply(sK2,X0)) = apply(sK3,apply(sK2,X0))
| ~ in(X0,relation_dom(sK2))
| ~ relation(sK3)
| ~ function(sK3) ),
inference(subsumption_resolution,[],[f341,f136]) ).
fof(f341,plain,
! [X0] :
( apply(sK4,apply(sK2,X0)) = apply(sK3,apply(sK2,X0))
| ~ function(sK2)
| ~ in(X0,relation_dom(sK2))
| ~ relation(sK3)
| ~ function(sK3) ),
inference(subsumption_resolution,[],[f336,f135]) ).
fof(f336,plain,
! [X0] :
( ~ relation(sK2)
| ~ function(sK2)
| apply(sK4,apply(sK2,X0)) = apply(sK3,apply(sK2,X0))
| ~ relation(sK3)
| ~ in(X0,relation_dom(sK2))
| ~ function(sK3) ),
inference(duplicate_literal_removal,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ~ in(X0,relation_dom(sK2))
| ~ in(X0,relation_dom(sK2))
| apply(sK4,apply(sK2,X0)) = apply(sK3,apply(sK2,X0))
| ~ function(sK3)
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK2) ),
inference(superposition,[],[f151,f281]) ).
fof(f281,plain,
! [X0] :
( apply(sK4,apply(sK2,X0)) = apply(relation_composition(sK2,sK3),X0)
| ~ in(X0,relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f280,f136]) ).
fof(f280,plain,
! [X0] :
( ~ in(X0,relation_dom(sK2))
| ~ function(sK2)
| apply(sK4,apply(sK2,X0)) = apply(relation_composition(sK2,sK3),X0) ),
inference(subsumption_resolution,[],[f279,f138]) ).
fof(f279,plain,
! [X0] :
( apply(sK4,apply(sK2,X0)) = apply(relation_composition(sK2,sK3),X0)
| ~ in(X0,relation_dom(sK2))
| ~ relation(sK4)
| ~ function(sK2) ),
inference(subsumption_resolution,[],[f278,f141]) ).
fof(f278,plain,
! [X0] :
( ~ in(X0,relation_dom(sK2))
| ~ function(sK4)
| ~ relation(sK4)
| apply(sK4,apply(sK2,X0)) = apply(relation_composition(sK2,sK3),X0)
| ~ function(sK2) ),
inference(subsumption_resolution,[],[f264,f135]) ).
fof(f264,plain,
! [X0] :
( ~ relation(sK2)
| ~ relation(sK4)
| ~ function(sK2)
| apply(sK4,apply(sK2,X0)) = apply(relation_composition(sK2,sK3),X0)
| ~ function(sK4)
| ~ in(X0,relation_dom(sK2)) ),
inference(superposition,[],[f151,f139]) ).
fof(f139,plain,
relation_composition(sK2,sK3) = relation_composition(sK2,sK4),
inference(cnf_transformation,[],[f99]) ).
fof(f151,plain,
! [X2,X0,X1] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ function(X1)
| ~ function(X2)
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X1,X0] :
( ! [X2] :
( apply(X2,apply(X0,X1)) = apply(relation_composition(X0,X2),X1)
| ~ in(X1,relation_dom(X0))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ! [X2] :
( apply(X2,apply(X0,X1)) = apply(relation_composition(X0,X2),X1)
| ~ in(X1,relation_dom(X0))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ( relation(X0)
& function(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(X0))
=> apply(X2,apply(X0,X1)) = apply(relation_composition(X0,X2),X1) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f167,plain,
! [X0,X1] :
( apply(X0,sK11(X0,X1)) != apply(X1,sK11(X0,X1))
| relation_dom(X0) != relation_dom(X1)
| ~ function(X0)
| ~ function(X1)
| ~ relation(X1)
| X0 = X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU075+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
% 0.13/0.34 % Computer : n027.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 14:51:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.59/0.56 % (5968)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)
% 1.59/0.57 % (5961)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)
% 1.59/0.57 % (5960)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)
% 1.59/0.57 % (5952)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)
% 1.59/0.57 % (5953)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)
% 1.59/0.57 % (5951)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)
% 1.59/0.58 % (5959)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.81/0.59 % (5960)Instruction limit reached!
% 1.81/0.59 % (5960)------------------------------
% 1.81/0.59 % (5960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (5960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (5960)Termination reason: Unknown
% 1.81/0.59 % (5960)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (5960)Memory used [KB]: 6140
% 1.81/0.59 % (5960)Time elapsed: 0.144 s
% 1.81/0.59 % (5960)Instructions burned: 7 (million)
% 1.81/0.59 % (5960)------------------------------
% 1.81/0.59 % (5960)------------------------------
% 1.81/0.59 % (5969)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.81/0.59 % (5951)Refutation not found, incomplete strategy% (5951)------------------------------
% 1.81/0.59 % (5951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (5951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (5951)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.59
% 1.81/0.59 % (5951)Memory used [KB]: 6012
% 1.81/0.59 % (5951)Time elapsed: 0.160 s
% 1.81/0.59 % (5951)Instructions burned: 4 (million)
% 1.81/0.59 % (5951)------------------------------
% 1.81/0.59 % (5951)------------------------------
% 1.81/0.59 % (5967)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.81/0.60 % (5959)Instruction limit reached!
% 1.81/0.60 % (5959)------------------------------
% 1.81/0.60 % (5959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (5959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (5959)Termination reason: Unknown
% 1.81/0.60 % (5959)Termination phase: Saturation
% 1.81/0.60
% 1.81/0.60 % (5959)Memory used [KB]: 6012
% 1.81/0.60 % (5959)Time elapsed: 0.005 s
% 1.81/0.60 % (5959)Instructions burned: 3 (million)
% 1.81/0.60 % (5959)------------------------------
% 1.81/0.60 % (5959)------------------------------
% 1.81/0.61 % (5950)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)
% 1.81/0.62 % (5962)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.81/0.62 % (5963)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)
% 1.81/0.62 % (5964)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.81/0.62 % (5947)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)
% 1.81/0.62 % (5948)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)
% 1.81/0.62 % (5947)Instruction limit reached!
% 1.81/0.62 % (5947)------------------------------
% 1.81/0.62 % (5947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (5947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (5947)Termination reason: Unknown
% 1.81/0.62 % (5947)Termination phase: Saturation
% 1.81/0.62
% 1.81/0.62 % (5947)Memory used [KB]: 1535
% 1.81/0.62 % (5947)Time elapsed: 0.005 s
% 1.81/0.62 % (5947)Instructions burned: 4 (million)
% 1.81/0.62 % (5947)------------------------------
% 1.81/0.62 % (5947)------------------------------
% 1.81/0.63 % (5971)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)
% 1.81/0.63 % (5970)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)
% 1.81/0.63 % (5958)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.81/0.63 % (5956)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.81/0.63 % (5954)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)
% 1.81/0.63 % (5952)Instruction limit reached!
% 1.81/0.63 % (5952)------------------------------
% 1.81/0.63 % (5952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.63 % (5952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.63 % (5952)Termination reason: Unknown
% 1.81/0.63 % (5952)Termination phase: Saturation
% 1.81/0.63
% 1.81/0.63 % (5952)Memory used [KB]: 6652
% 1.81/0.63 % (5952)Time elapsed: 0.194 s
% 1.81/0.63 % (5952)Instructions burned: 40 (million)
% 1.81/0.63 % (5952)------------------------------
% 1.81/0.63 % (5952)------------------------------
% 1.81/0.63 % (5955)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)
% 1.81/0.64 % (5972)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)
% 1.81/0.64 % (5974)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)
% 1.81/0.64 % (5962)Instruction limit reached!
% 1.81/0.64 % (5962)------------------------------
% 1.81/0.64 % (5962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.64 % (5962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.64 % (5962)Termination reason: Unknown
% 1.81/0.64 % (5962)Termination phase: Preprocessing 3
% 1.81/0.64
% 1.81/0.64 % (5962)Memory used [KB]: 1407
% 1.81/0.64 % (5962)Time elapsed: 0.004 s
% 1.81/0.64 % (5962)Instructions burned: 3 (million)
% 1.81/0.64 % (5962)------------------------------
% 1.81/0.64 % (5962)------------------------------
% 1.81/0.64 % (5963)Instruction limit reached!
% 1.81/0.64 % (5963)------------------------------
% 1.81/0.64 % (5963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.64 % (5963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.64 % (5968)Instruction limit reached!
% 1.81/0.64 % (5968)------------------------------
% 1.81/0.64 % (5968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.64 % (5963)Termination reason: Unknown
% 1.81/0.64 % (5963)Termination phase: Saturation
% 1.81/0.64
% 1.81/0.64 % (5968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.64 % (5968)Termination reason: Unknown
% 1.81/0.64 % (5968)Termination phase: Saturation
% 1.81/0.64 % (5963)Memory used [KB]: 1407
% 1.81/0.64
% 1.81/0.64 % (5963)Time elapsed: 0.004 s
% 1.81/0.64 % (5963)Instructions burned: 2 (million)
% 1.81/0.64 % (5968)Memory used [KB]: 2302
% 1.81/0.64 % (5963)------------------------------
% 1.81/0.64 % (5963)------------------------------
% 1.81/0.64 % (5968)Time elapsed: 0.201 s
% 1.81/0.64 % (5968)Instructions burned: 45 (million)
% 1.81/0.64 % (5968)------------------------------
% 1.81/0.64 % (5968)------------------------------
% 1.81/0.64 % (5946)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)
% 1.81/0.64 % (5964)Refutation not found, incomplete strategy% (5964)------------------------------
% 1.81/0.64 % (5964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.64 % (5964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.64 % (5964)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.64
% 1.81/0.64 % (5964)Memory used [KB]: 6012
% 1.81/0.64 % (5964)Time elapsed: 0.221 s
% 1.81/0.64 % (5964)Instructions burned: 4 (million)
% 1.81/0.64 % (5964)------------------------------
% 1.81/0.64 % (5964)------------------------------
% 1.81/0.64 % (5950)Instruction limit reached!
% 1.81/0.64 % (5950)------------------------------
% 1.81/0.64 % (5950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.64 % (5950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.64 % (5950)Termination reason: Unknown
% 1.81/0.64 % (5950)Termination phase: Saturation
% 1.81/0.64
% 1.81/0.64 % (5950)Memory used [KB]: 1663
% 1.81/0.64 % (5950)Time elapsed: 0.224 s
% 1.81/0.64 % (5950)Instructions burned: 15 (million)
% 1.81/0.64 % (5950)------------------------------
% 1.81/0.64 % (5950)------------------------------
% 1.81/0.64 % (5966)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)
% 2.30/0.65 % (5955)Instruction limit reached!
% 2.30/0.65 % (5955)------------------------------
% 2.30/0.65 % (5955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.65 % (5956)Instruction limit reached!
% 2.30/0.65 % (5956)------------------------------
% 2.30/0.65 % (5956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.65 % (5955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.65 % (5955)Termination reason: Unknown
% 2.30/0.65 % (5955)Termination phase: Saturation
% 2.30/0.65 % (5956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.65
% 2.30/0.65 % (5956)Termination reason: Unknown
% 2.30/0.65 % (5956)Termination phase: Saturation
% 2.30/0.65
% 2.30/0.65 % (5955)Memory used [KB]: 6268
% 2.30/0.65 % (5955)Time elapsed: 0.219 s
% 2.30/0.65 % (5956)Memory used [KB]: 6140
% 2.30/0.65 % (5955)Instructions burned: 12 (million)
% 2.30/0.65 % (5956)Time elapsed: 0.234 s
% 2.30/0.65 % (5955)------------------------------
% 2.30/0.65 % (5955)------------------------------
% 2.30/0.65 % (5956)Instructions burned: 7 (million)
% 2.30/0.65 % (5956)------------------------------
% 2.30/0.65 % (5956)------------------------------
% 2.39/0.66 % (5945)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.39/0.68 % (5953)Instruction limit reached!
% 2.39/0.68 % (5953)------------------------------
% 2.39/0.68 % (5953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68 % (5953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68 % (5953)Termination reason: Unknown
% 2.39/0.68 % (5953)Termination phase: Saturation
% 2.39/0.68
% 2.39/0.68 % (5953)Memory used [KB]: 6780
% 2.39/0.68 % (5953)Time elapsed: 0.240 s
% 2.39/0.68 % (5953)Instructions burned: 49 (million)
% 2.39/0.68 % (5953)------------------------------
% 2.39/0.68 % (5953)------------------------------
% 2.39/0.69 % (5946)Instruction limit reached!
% 2.39/0.69 % (5946)------------------------------
% 2.39/0.69 % (5946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.69 % (5946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69 % (5946)Termination reason: Unknown
% 2.39/0.69 % (5946)Termination phase: Saturation
% 2.39/0.69
% 2.39/0.69 % (5946)Memory used [KB]: 6268
% 2.39/0.69 % (5946)Time elapsed: 0.227 s
% 2.39/0.69 % (5946)Instructions burned: 14 (million)
% 2.39/0.69 % (5946)------------------------------
% 2.39/0.69 % (5946)------------------------------
% 2.39/0.69 % (5965)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)
% 2.39/0.69 % (5969)Instruction limit reached!
% 2.39/0.69 % (5969)------------------------------
% 2.39/0.69 % (5969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.69 % (5969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69 % (5969)Termination reason: Unknown
% 2.39/0.69 % (5969)Termination phase: Saturation
% 2.39/0.69
% 2.39/0.69 % (5969)Memory used [KB]: 6396
% 2.39/0.69 % (5969)Time elapsed: 0.253 s
% 2.39/0.69 % (5969)Instructions burned: 50 (million)
% 2.39/0.69 % (5969)------------------------------
% 2.39/0.69 % (5969)------------------------------
% 2.39/0.69 % (5957)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)
% 2.39/0.70 % (5974)Instruction limit reached!
% 2.39/0.70 % (5974)------------------------------
% 2.39/0.70 % (5974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.70 % (5972)Instruction limit reached!
% 2.39/0.70 % (5972)------------------------------
% 2.39/0.70 % (5972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.70 % (5974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.70 % (5972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.70 % (5974)Termination reason: Unknown
% 2.39/0.70 % (5972)Termination reason: Unknown
% 2.39/0.70 % (5974)Termination phase: Saturation
% 2.39/0.70
% 2.39/0.70 % (5972)Termination phase: Saturation
% 2.39/0.70
% 2.39/0.70 % (5974)Memory used [KB]: 6268
% 2.39/0.70 % (5972)Memory used [KB]: 6524
% 2.39/0.70 % (5974)Time elapsed: 0.256 s
% 2.39/0.70 % (5972)Time elapsed: 0.259 s
% 2.39/0.70 % (5974)Instructions burned: 24 (million)
% 2.39/0.70 % (5972)Instructions burned: 25 (million)
% 2.39/0.70 % (5974)------------------------------
% 2.39/0.70 % (5974)------------------------------
% 2.39/0.70 % (5972)------------------------------
% 2.39/0.70 % (5972)------------------------------
% 2.39/0.70 % (5973)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)
% 2.39/0.70 % (5949)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)
% 2.65/0.72 % (5967)Instruction limit reached!
% 2.65/0.72 % (5967)------------------------------
% 2.65/0.72 % (5967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.72 % (5967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.72 % (5967)Termination reason: Unknown
% 2.65/0.72 % (5967)Termination phase: Saturation
% 2.65/0.72
% 2.65/0.72 % (5967)Memory used [KB]: 7675
% 2.65/0.72 % (5967)Time elapsed: 0.280 s
% 2.65/0.72 % (5967)Instructions burned: 82 (million)
% 2.65/0.72 % (5967)------------------------------
% 2.65/0.72 % (5967)------------------------------
% 2.65/0.72 % (5973)Instruction limit reached!
% 2.65/0.72 % (5973)------------------------------
% 2.65/0.72 % (5973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.72 % (5973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.72 % (5973)Termination reason: Unknown
% 2.65/0.72 % (5973)Termination phase: Saturation
% 2.65/0.72
% 2.65/0.72 % (5973)Memory used [KB]: 6140
% 2.65/0.72 % (5973)Time elapsed: 0.284 s
% 2.65/0.72 % (5973)Instructions burned: 8 (million)
% 2.65/0.72 % (5973)------------------------------
% 2.65/0.72 % (5973)------------------------------
% 2.65/0.72 % (5961)Refutation not found, non-redundant clauses discarded% (5961)------------------------------
% 2.65/0.72 % (5961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.72 % (5961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.72 % (5961)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.65/0.72
% 2.65/0.72 % (5961)Memory used [KB]: 7419
% 2.65/0.72 % (5961)Time elapsed: 0.304 s
% 2.65/0.72 % (5961)Instructions burned: 48 (million)
% 2.65/0.72 % (5961)------------------------------
% 2.65/0.72 % (5961)------------------------------
% 2.65/0.73 % (5980)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.65/0.73 % (5948)Instruction limit reached!
% 2.65/0.73 % (5948)------------------------------
% 2.65/0.73 % (5948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.73 % (5948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.73 % (5948)Termination reason: Unknown
% 2.65/0.73 % (5948)Termination phase: Saturation
% 2.65/0.73
% 2.65/0.73 % (5948)Memory used [KB]: 7036
% 2.65/0.73 % (5948)Time elapsed: 0.307 s
% 2.65/0.73 % (5948)Instructions burned: 51 (million)
% 2.65/0.73 % (5948)------------------------------
% 2.65/0.73 % (5948)------------------------------
% 2.65/0.73 % (5949)Instruction limit reached!
% 2.65/0.73 % (5949)------------------------------
% 2.65/0.73 % (5949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.73 % (5949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.73 % (5949)Termination reason: Unknown
% 2.65/0.73 % (5949)Termination phase: Saturation
% 2.65/0.73
% 2.65/0.73 % (5949)Memory used [KB]: 6140
% 2.65/0.73 % (5949)Time elapsed: 0.289 s
% 2.65/0.73 % (5949)Instructions burned: 13 (million)
% 2.65/0.73 % (5949)------------------------------
% 2.65/0.73 % (5949)------------------------------
% 2.65/0.74 % (5958)Instruction limit reached!
% 2.65/0.74 % (5958)------------------------------
% 2.65/0.74 % (5958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.74 % (5958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.74 % (5958)Termination reason: Unknown
% 2.65/0.74 % (5958)Termination phase: Saturation
% 2.65/0.74
% 2.65/0.74 % (5958)Memory used [KB]: 6652
% 2.65/0.74 % (5958)Time elapsed: 0.317 s
% 2.65/0.74 % (5958)Instructions burned: 52 (million)
% 2.65/0.74 % (5958)------------------------------
% 2.65/0.74 % (5958)------------------------------
% 2.65/0.75 % (5957)Instruction limit reached!
% 2.65/0.75 % (5957)------------------------------
% 2.65/0.75 % (5957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.75 % (5957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.75 % (5957)Termination reason: Unknown
% 2.65/0.75 % (5957)Termination phase: Saturation
% 2.65/0.75
% 2.65/0.75 % (5957)Memory used [KB]: 1791
% 2.65/0.75 % (5957)Time elapsed: 0.307 s
% 2.65/0.75 % (5957)Instructions burned: 17 (million)
% 2.65/0.75 % (5957)------------------------------
% 2.65/0.75 % (5957)------------------------------
% 2.82/0.76 % (5954)Instruction limit reached!
% 2.82/0.76 % (5954)------------------------------
% 2.82/0.76 % (5954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.76 % (5954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.76 % (5954)Termination reason: Unknown
% 2.82/0.76 % (5954)Termination phase: Saturation
% 2.82/0.76
% 2.82/0.76 % (5954)Memory used [KB]: 6652
% 2.82/0.76 % (5954)Time elapsed: 0.276 s
% 2.82/0.76 % (5954)Instructions burned: 33 (million)
% 2.82/0.76 % (5954)------------------------------
% 2.82/0.76 % (5954)------------------------------
% 2.82/0.79 % (5965)Instruction limit reached!
% 2.82/0.79 % (5965)------------------------------
% 2.82/0.79 % (5965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.79 % (5965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.79 % (5965)Termination reason: Unknown
% 2.82/0.79 % (5965)Termination phase: Saturation
% 2.82/0.79
% 2.82/0.79 % (5965)Memory used [KB]: 6268
% 2.82/0.79 % (5965)Time elapsed: 0.347 s
% 2.82/0.79 % (5965)Instructions burned: 30 (million)
% 2.82/0.79 % (5965)------------------------------
% 2.82/0.79 % (5965)------------------------------
% 2.82/0.81 % (5966)Instruction limit reached!
% 2.82/0.81 % (5966)------------------------------
% 2.82/0.81 % (5966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.81 % (5966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.81 % (5966)Termination reason: Unknown
% 2.82/0.81 % (5966)Termination phase: Saturation
% 2.82/0.81
% 2.82/0.81 % (5966)Memory used [KB]: 7675
% 2.82/0.81 % (5966)Time elapsed: 0.370 s
% 2.82/0.81 % (5966)Instructions burned: 99 (million)
% 2.82/0.81 % (5966)------------------------------
% 2.82/0.81 % (5966)------------------------------
% 2.82/0.82 % (5986)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.82/0.82 % (5980)Instruction limit reached!
% 2.82/0.82 % (5980)------------------------------
% 2.82/0.82 % (5980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.83 % (5999)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 2.82/0.83 % (5971)Refutation not found, non-redundant clauses discarded% (5971)------------------------------
% 2.82/0.83 % (5971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.83 % (5971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.83 % (5971)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.82/0.83
% 2.82/0.83 % (5971)Memory used [KB]: 7675
% 2.82/0.83 % (5971)Time elapsed: 0.409 s
% 2.82/0.83 % (5971)Instructions burned: 94 (million)
% 2.82/0.83 % (5971)------------------------------
% 2.82/0.83 % (5971)------------------------------
% 2.82/0.83 % (5982)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.96/0.83 % (5980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.83 % (5980)Termination reason: Unknown
% 2.96/0.83 % (5980)Termination phase: Saturation
% 2.96/0.83
% 2.96/0.83 % (5980)Memory used [KB]: 7164
% 2.96/0.83 % (5980)Time elapsed: 0.117 s
% 2.96/0.83 % (5980)Instructions burned: 87 (million)
% 2.96/0.83 % (5980)------------------------------
% 2.96/0.83 % (5980)------------------------------
% 2.96/0.83 % (5978)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.96/0.84 % (5991)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.96/0.84 % (5992)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/131Mi)
% 2.96/0.84 % (5988)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.96/0.85 % (5988)Refutation not found, incomplete strategy% (5988)------------------------------
% 2.96/0.85 % (5988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.85 % (5988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.85 % (5988)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.85
% 2.96/0.85 % (5988)Memory used [KB]: 6012
% 2.96/0.85 % (5988)Time elapsed: 0.154 s
% 2.96/0.85 % (5988)Instructions burned: 4 (million)
% 2.96/0.85 % (5988)------------------------------
% 2.96/0.85 % (5988)------------------------------
% 2.96/0.85 % (5999)Instruction limit reached!
% 2.96/0.85 % (5999)------------------------------
% 2.96/0.85 % (5999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.85 % (5999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.85 % (5999)Termination reason: Unknown
% 2.96/0.85 % (5999)Termination phase: Saturation
% 2.96/0.85
% 2.96/0.85 % (5999)Memory used [KB]: 6268
% 2.96/0.85 % (5999)Time elapsed: 0.088 s
% 2.96/0.85 % (5999)Instructions burned: 15 (million)
% 2.96/0.85 % (5999)------------------------------
% 2.96/0.85 % (5999)------------------------------
% 2.96/0.86 % (5978)Refutation not found, incomplete strategy% (5978)------------------------------
% 2.96/0.86 % (5978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.86 % (5978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.86 % (5978)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.86
% 2.96/0.86 % (5978)Memory used [KB]: 6012
% 2.96/0.86 % (5978)Time elapsed: 0.210 s
% 2.96/0.86 % (5978)Instructions burned: 3 (million)
% 2.96/0.86 % (5978)------------------------------
% 2.96/0.86 % (5978)------------------------------
% 2.96/0.86 % (5984)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.96/0.86 % (5987)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.96/0.87 % (6011)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/10Mi)
% 2.96/0.88 % (6005)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/19Mi)
% 3.30/0.89 % (6011)Instruction limit reached!
% 3.30/0.89 % (6011)------------------------------
% 3.30/0.89 % (6011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.89 % (6011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.89 % (6011)Termination reason: Unknown
% 3.30/0.89 % (6011)Termination phase: Saturation
% 3.30/0.89
% 3.30/0.89 % (6011)Memory used [KB]: 6140
% 3.30/0.89 % (6011)Time elapsed: 0.060 s
% 3.30/0.89 % (6011)Instructions burned: 10 (million)
% 3.30/0.89 % (6011)------------------------------
% 3.30/0.89 % (6011)------------------------------
% 3.30/0.91 % (6005)Instruction limit reached!
% 3.30/0.91 % (6005)------------------------------
% 3.30/0.91 % (6005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.92 % (6019)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/21Mi)
% 3.30/0.92 % (5991)First to succeed.
% 3.30/0.92 % (6005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.92 % (6005)Termination reason: Unknown
% 3.30/0.92 % (6005)Termination phase: Saturation
% 3.30/0.92
% 3.30/0.92 % (6005)Memory used [KB]: 6396
% 3.30/0.92 % (6005)Time elapsed: 0.132 s
% 3.30/0.92 % (6005)Instructions burned: 19 (million)
% 3.30/0.92 % (6005)------------------------------
% 3.30/0.92 % (6005)------------------------------
% 3.30/0.93 % (5991)Refutation found. Thanks to Tanya!
% 3.30/0.93 % SZS status Theorem for theBenchmark
% 3.30/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 3.30/0.93 % (5991)------------------------------
% 3.30/0.93 % (5991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.93 % (5991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.93 % (5991)Termination reason: Refutation
% 3.30/0.93
% 3.30/0.93 % (5991)Memory used [KB]: 6652
% 3.30/0.93 % (5991)Time elapsed: 0.219 s
% 3.30/0.93 % (5991)Instructions burned: 64 (million)
% 3.30/0.93 % (5991)------------------------------
% 3.30/0.93 % (5991)------------------------------
% 3.30/0.93 % (5944)Success in time 0.571 s
%------------------------------------------------------------------------------