TSTP Solution File: SET724+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET724+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 : n010.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 18:25:27 EDT 2022
% Result : Theorem 2.26s 0.69s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 101 ( 19 unt; 0 def)
% Number of atoms : 468 ( 38 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 571 ( 204 ~; 194 |; 132 &)
% ( 13 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-5 aty)
% Number of variables : 380 ( 327 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1135,plain,
$false,
inference(avatar_sat_refutation,[],[f401,f1134]) ).
fof(f1134,plain,
~ spl19_1,
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1133,plain,
( $false
| ~ spl19_1 ),
inference(subsumption_resolution,[],[f1132,f156]) ).
fof(f156,plain,
equal_maps(compose_function(sK5,sK6,sK3,sK2,sK4),compose_function(sK1,sK6,sK3,sK2,sK4),sK3,sK4),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( equal_maps(compose_function(sK5,sK6,sK3,sK2,sK4),compose_function(sK1,sK6,sK3,sK2,sK4),sK3,sK4)
& surjective(sK6,sK3,sK2)
& maps(sK5,sK2,sK4)
& ~ equal_maps(sK5,sK1,sK2,sK4)
& maps(sK6,sK3,sK2)
& maps(sK1,sK2,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f88,f89]) ).
fof(f89,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( equal_maps(compose_function(X4,X5,X2,X1,X3),compose_function(X0,X5,X2,X1,X3),X2,X3)
& surjective(X5,X2,X1)
& maps(X4,X1,X3)
& ~ equal_maps(X4,X0,X1,X3)
& maps(X5,X2,X1)
& maps(X0,X1,X3) )
=> ( equal_maps(compose_function(sK5,sK6,sK3,sK2,sK4),compose_function(sK1,sK6,sK3,sK2,sK4),sK3,sK4)
& surjective(sK6,sK3,sK2)
& maps(sK5,sK2,sK4)
& ~ equal_maps(sK5,sK1,sK2,sK4)
& maps(sK6,sK3,sK2)
& maps(sK1,sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
? [X0,X1,X2,X3,X4,X5] :
( equal_maps(compose_function(X4,X5,X2,X1,X3),compose_function(X0,X5,X2,X1,X3),X2,X3)
& surjective(X5,X2,X1)
& maps(X4,X1,X3)
& ~ equal_maps(X4,X0,X1,X3)
& maps(X5,X2,X1)
& maps(X0,X1,X3) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
? [X1,X3,X0,X2,X4,X5] :
( equal_maps(compose_function(X4,X5,X0,X3,X2),compose_function(X1,X5,X0,X3,X2),X0,X2)
& surjective(X5,X0,X3)
& maps(X4,X3,X2)
& ~ equal_maps(X4,X1,X3,X2)
& maps(X5,X0,X3)
& maps(X1,X3,X2) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X2,X4,X3,X1,X0,X5] :
( ~ equal_maps(X4,X1,X3,X2)
& surjective(X5,X0,X3)
& maps(X5,X0,X3)
& equal_maps(compose_function(X4,X5,X0,X3,X2),compose_function(X1,X5,X0,X3,X2),X0,X2)
& maps(X1,X3,X2)
& maps(X4,X3,X2) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ! [X2,X4,X3,X1,X0,X5] :
( ( surjective(X5,X0,X3)
& maps(X5,X0,X3)
& equal_maps(compose_function(X4,X5,X0,X3,X2),compose_function(X1,X5,X0,X3,X2),X0,X2)
& maps(X1,X3,X2)
& maps(X4,X3,X2) )
=> equal_maps(X4,X1,X3,X2) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X8,X10,X1,X9,X5] :
( ( equal_maps(compose_function(X9,X5,X0,X1,X10),compose_function(X8,X5,X0,X1,X10),X0,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1)
& maps(X8,X1,X10)
& surjective(X5,X0,X1) )
=> equal_maps(X9,X8,X1,X10) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X8,X10,X1,X9,X5] :
( ( equal_maps(compose_function(X9,X5,X0,X1,X10),compose_function(X8,X5,X0,X1,X10),X0,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1)
& maps(X8,X1,X10)
& surjective(X5,X0,X1) )
=> equal_maps(X9,X8,X1,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII15) ).
fof(f1132,plain,
( ~ equal_maps(compose_function(sK5,sK6,sK3,sK2,sK4),compose_function(sK1,sK6,sK3,sK2,sK4),sK3,sK4)
| ~ spl19_1 ),
inference(resolution,[],[f686,f764]) ).
fof(f764,plain,
apply(compose_function(sK5,sK6,sK3,sK2,sK4),sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),sK11(sK1,sK4,sK5,sK2)),
inference(resolution,[],[f756,f227]) ).
fof(f227,plain,
member(sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),sK3),
inference(resolution,[],[f208,f155]) ).
fof(f155,plain,
surjective(sK6,sK3,sK2),
inference(cnf_transformation,[],[f90]) ).
fof(f208,plain,
! [X0,X1] :
( ~ surjective(X0,X1,sK2)
| member(sK0(X1,X0,sK10(sK1,sK4,sK5,sK2)),X1) ),
inference(resolution,[],[f149,f205]) ).
fof(f205,plain,
member(sK10(sK1,sK4,sK5,sK2),sK2),
inference(resolution,[],[f174,f153]) ).
fof(f153,plain,
~ equal_maps(sK5,sK1,sK2,sK4),
inference(cnf_transformation,[],[f90]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| member(sK10(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ( equal_maps(X2,X0,X3,X1)
| ( member(sK12(X0,X1,X2,X3),X1)
& apply(X2,sK10(X0,X1,X2,X3),sK11(X0,X1,X2,X3))
& member(sK11(X0,X1,X2,X3),X1)
& member(sK10(X0,X1,X2,X3),X3)
& sK12(X0,X1,X2,X3) != sK11(X0,X1,X2,X3)
& apply(X0,sK10(X0,X1,X2,X3),sK12(X0,X1,X2,X3)) ) )
& ( ! [X7,X8,X9] :
( ~ member(X9,X1)
| ~ apply(X2,X7,X8)
| ~ member(X8,X1)
| ~ member(X7,X3)
| X8 = X9
| ~ apply(X0,X7,X9) )
| ~ equal_maps(X2,X0,X3,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f107,f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( member(X6,X1)
& apply(X2,X4,X5)
& member(X5,X1)
& member(X4,X3)
& X5 != X6
& apply(X0,X4,X6) )
=> ( member(sK12(X0,X1,X2,X3),X1)
& apply(X2,sK10(X0,X1,X2,X3),sK11(X0,X1,X2,X3))
& member(sK11(X0,X1,X2,X3),X1)
& member(sK10(X0,X1,X2,X3),X3)
& sK12(X0,X1,X2,X3) != sK11(X0,X1,X2,X3)
& apply(X0,sK10(X0,X1,X2,X3),sK12(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( equal_maps(X2,X0,X3,X1)
| ? [X4,X5,X6] :
( member(X6,X1)
& apply(X2,X4,X5)
& member(X5,X1)
& member(X4,X3)
& X5 != X6
& apply(X0,X4,X6) ) )
& ( ! [X7,X8,X9] :
( ~ member(X9,X1)
| ~ apply(X2,X7,X8)
| ~ member(X8,X1)
| ~ member(X7,X3)
| X8 = X9
| ~ apply(X0,X7,X9) )
| ~ equal_maps(X2,X0,X3,X1) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X2,X1,X3,X0] :
( ( equal_maps(X3,X2,X0,X1)
| ? [X5,X4,X6] :
( member(X6,X1)
& apply(X3,X5,X4)
& member(X4,X1)
& member(X5,X0)
& X4 != X6
& apply(X2,X5,X6) ) )
& ( ! [X5,X4,X6] :
( ~ member(X6,X1)
| ~ apply(X3,X5,X4)
| ~ member(X4,X1)
| ~ member(X5,X0)
| X4 = X6
| ~ apply(X2,X5,X6) )
| ~ equal_maps(X3,X2,X0,X1) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X2,X1,X3,X0] :
( equal_maps(X3,X2,X0,X1)
<=> ! [X5,X4,X6] :
( ~ member(X6,X1)
| ~ apply(X3,X5,X4)
| ~ member(X4,X1)
| ~ member(X5,X0)
| X4 = X6
| ~ apply(X2,X5,X6) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X1,X3,X2,X0] :
( ! [X5,X4,X6] :
( X4 = X6
| ~ apply(X3,X5,X4)
| ~ apply(X2,X5,X6)
| ~ member(X5,X0)
| ~ member(X4,X1)
| ~ member(X6,X1) )
<=> equal_maps(X3,X2,X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X3,X2,X0] :
( ! [X5,X4,X6] :
( ( member(X5,X0)
& member(X4,X1)
& member(X6,X1) )
=> ( ( apply(X3,X5,X4)
& apply(X2,X5,X6) )
=> X4 = X6 ) )
<=> equal_maps(X3,X2,X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X9,X5] :
( equal_maps(X5,X9,X0,X1)
<=> ! [X6,X2,X7] :
( ( member(X6,X1)
& member(X2,X0)
& member(X7,X1) )
=> ( ( apply(X9,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_maps) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,X2)
| ~ surjective(X1,X0,X2)
| member(sK0(X0,X1,X3),X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ surjective(X1,X0,X2)
| ! [X3] :
( ( apply(X1,sK0(X0,X1,X3),X3)
& member(sK0(X0,X1,X3),X0) )
| ~ member(X3,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f85,f86]) ).
fof(f86,plain,
! [X0,X1,X3] :
( ? [X4] :
( apply(X1,X4,X3)
& member(X4,X0) )
=> ( apply(X1,sK0(X0,X1,X3),X3)
& member(sK0(X0,X1,X3),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ surjective(X1,X0,X2)
| ! [X3] :
( ? [X4] :
( apply(X1,X4,X3)
& member(X4,X0) )
| ~ member(X3,X2) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X1,X2,X0] :
( ~ surjective(X2,X1,X0)
| ! [X3] :
( ? [X4] :
( apply(X2,X4,X3)
& member(X4,X1) )
| ~ member(X3,X0) ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( surjective(X2,X1,X0)
=> ! [X3] :
( member(X3,X0)
=> ? [X4] :
( apply(X2,X4,X3)
& member(X4,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( surjective(X2,X1,X0)
<=> ! [X3] :
( member(X3,X0)
=> ? [X4] :
( apply(X2,X4,X3)
& member(X4,X1) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X0,X5] :
( ! [X4] :
( member(X4,X1)
=> ? [X3] :
( apply(X5,X3,X4)
& member(X3,X0) ) )
<=> surjective(X5,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjective) ).
fof(f756,plain,
! [X0] :
( ~ member(sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X0)
| apply(compose_function(sK5,sK6,X0,sK2,sK4),sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),sK11(sK1,sK4,sK5,sK2)) ),
inference(resolution,[],[f706,f218]) ).
fof(f218,plain,
apply(sK6,sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),sK10(sK1,sK4,sK5,sK2)),
inference(resolution,[],[f214,f205]) ).
fof(f214,plain,
! [X0] :
( ~ member(X0,sK2)
| apply(sK6,sK0(sK3,sK6,X0),X0) ),
inference(resolution,[],[f150,f155]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X1,X0,X2)
| ~ member(X3,X2)
| apply(X1,sK0(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f87]) ).
fof(f706,plain,
! [X2,X0,X1] :
( ~ apply(X0,X1,sK10(sK1,sK4,sK5,sK2))
| ~ member(X1,X2)
| apply(compose_function(sK5,X0,X2,sK2,sK4),X1,sK11(sK1,sK4,sK5,sK2)) ),
inference(resolution,[],[f699,f205]) ).
fof(f699,plain,
! [X2,X3,X0,X1] :
( ~ member(sK10(sK1,sK4,sK5,sK2),X0)
| ~ member(X3,X2)
| ~ apply(X1,X3,sK10(sK1,sK4,sK5,sK2))
| apply(compose_function(sK5,X1,X2,X0,sK4),X3,sK11(sK1,sK4,sK5,sK2)) ),
inference(resolution,[],[f224,f206]) ).
fof(f206,plain,
member(sK11(sK1,sK4,sK5,sK2),sK4),
inference(resolution,[],[f175,f153]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| member(sK11(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(sK11(sK1,sK4,sK5,sK2),X0)
| ~ apply(X1,X2,sK10(sK1,sK4,sK5,sK2))
| ~ member(sK10(sK1,sK4,sK5,sK2),X3)
| ~ member(X2,X4)
| apply(compose_function(sK5,X1,X4,X3,X0),X2,sK11(sK1,sK4,sK5,sK2)) ),
inference(resolution,[],[f220,f198]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( ~ apply(X1,X8,X6)
| ~ member(X6,X0)
| ~ apply(X4,X3,X8)
| ~ member(X8,X2)
| ~ member(X3,X5)
| apply(compose_function(X1,X4,X5,X2,X0),X3,X6) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X3,X5)
| ~ member(X6,X0)
| ( ( ( apply(X4,X3,sK18(X1,X2,X3,X4,X6))
& member(sK18(X1,X2,X3,X4,X6),X2)
& apply(X1,sK18(X1,X2,X3,X4,X6),X6) )
| ~ apply(compose_function(X1,X4,X5,X2,X0),X3,X6) )
& ( apply(compose_function(X1,X4,X5,X2,X0),X3,X6)
| ! [X8] :
( ~ apply(X4,X3,X8)
| ~ member(X8,X2)
| ~ apply(X1,X8,X6) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f135,f136]) ).
fof(f136,plain,
! [X1,X2,X3,X4,X6] :
( ? [X7] :
( apply(X4,X3,X7)
& member(X7,X2)
& apply(X1,X7,X6) )
=> ( apply(X4,X3,sK18(X1,X2,X3,X4,X6))
& member(sK18(X1,X2,X3,X4,X6),X2)
& apply(X1,sK18(X1,X2,X3,X4,X6),X6) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X3,X5)
| ~ member(X6,X0)
| ( ( ? [X7] :
( apply(X4,X3,X7)
& member(X7,X2)
& apply(X1,X7,X6) )
| ~ apply(compose_function(X1,X4,X5,X2,X0),X3,X6) )
& ( apply(compose_function(X1,X4,X5,X2,X0),X3,X6)
| ! [X8] :
( ~ apply(X4,X3,X8)
| ~ member(X8,X2)
| ~ apply(X1,X8,X6) ) ) ) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
! [X3,X5,X1,X0,X4,X6,X2] :
( ~ member(X0,X6)
| ~ member(X2,X3)
| ( ( ? [X7] :
( apply(X4,X0,X7)
& member(X7,X1)
& apply(X5,X7,X2) )
| ~ apply(compose_function(X5,X4,X6,X1,X3),X0,X2) )
& ( apply(compose_function(X5,X4,X6,X1,X3),X0,X2)
| ! [X7] :
( ~ apply(X4,X0,X7)
| ~ member(X7,X1)
| ~ apply(X5,X7,X2) ) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X3,X5,X1,X0,X4,X6,X2] :
( ~ member(X0,X6)
| ~ member(X2,X3)
| ( ? [X7] :
( apply(X4,X0,X7)
& member(X7,X1)
& apply(X5,X7,X2) )
<=> apply(compose_function(X5,X4,X6,X1,X3),X0,X2) ) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X2,X1,X5,X0,X4,X3,X6] :
( ( ? [X7] :
( apply(X4,X0,X7)
& member(X7,X1)
& apply(X5,X7,X2) )
<=> apply(compose_function(X5,X4,X6,X1,X3),X0,X2) )
| ~ member(X2,X3)
| ~ member(X0,X6) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X5,X0,X4,X3,X6] :
( ( member(X2,X3)
& member(X0,X6) )
=> ( ? [X7] :
( apply(X4,X0,X7)
& member(X7,X1)
& apply(X5,X7,X2) )
<=> apply(compose_function(X5,X4,X6,X1,X3),X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1,X11,X10,X5,X9,X0] :
( ( member(X2,X0)
& member(X11,X10) )
=> ( ? [X4] :
( apply(X9,X4,X11)
& member(X4,X1)
& apply(X5,X2,X4) )
<=> apply(compose_function(X9,X5,X0,X1,X10),X2,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_function) ).
fof(f220,plain,
apply(sK5,sK10(sK1,sK4,sK5,sK2),sK11(sK1,sK4,sK5,sK2)),
inference(resolution,[],[f176,f153]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| apply(X2,sK10(X0,X1,X2,X3),sK11(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f686,plain,
( ! [X1] :
( ~ apply(X1,sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),sK11(sK1,sK4,sK5,sK2))
| ~ equal_maps(X1,compose_function(sK1,sK6,sK3,sK2,sK4),sK3,sK4) )
| ~ spl19_1 ),
inference(subsumption_resolution,[],[f679,f673]) ).
fof(f673,plain,
( sK11(sK1,sK4,sK5,sK2) != sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2))
| ~ spl19_1 ),
inference(subsumption_resolution,[],[f672,f153]) ).
fof(f672,plain,
( equal_maps(sK5,sK1,sK2,sK4)
| sK11(sK1,sK4,sK5,sK2) != sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2))
| ~ spl19_1 ),
inference(superposition,[],[f173,f261]) ).
fof(f261,plain,
( sK12(sK1,sK4,sK5,sK2) = sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2))
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl19_1
<=> sK12(sK1,sK4,sK5,sK2) = sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( sK12(X0,X1,X2,X3) != sK11(X0,X1,X2,X3)
| equal_maps(X2,X0,X3,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f679,plain,
( ! [X1] :
( sK11(sK1,sK4,sK5,sK2) = sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2))
| ~ equal_maps(X1,compose_function(sK1,sK6,sK3,sK2,sK4),sK3,sK4)
| ~ apply(X1,sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),sK11(sK1,sK4,sK5,sK2)) )
| ~ spl19_1 ),
inference(resolution,[],[f206,f599]) ).
fof(f599,plain,
( ! [X0,X1] :
( ~ member(X0,sK4)
| sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)) = X0
| ~ equal_maps(X1,compose_function(sK1,sK6,sK3,sK2,sK4),sK3,sK4)
| ~ apply(X1,sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X0) )
| ~ spl19_1 ),
inference(resolution,[],[f581,f227]) ).
fof(f581,plain,
( ! [X2,X0,X1] :
( ~ member(sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X2)
| sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)) = X1
| ~ apply(X0,sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X1)
| ~ member(X1,sK4)
| ~ equal_maps(X0,compose_function(sK1,sK6,sK3,sK2,sK4),X2,sK4) )
| ~ spl19_1 ),
inference(resolution,[],[f426,f231]) ).
fof(f231,plain,
member(sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)),sK4),
inference(resolution,[],[f211,f151]) ).
fof(f151,plain,
maps(sK1,sK2,sK4),
inference(cnf_transformation,[],[f90]) ).
fof(f211,plain,
! [X0,X1] :
( ~ maps(X1,sK2,X0)
| member(sK9(X0,X1,sK10(sK1,sK4,sK5,sK2)),X0) ),
inference(resolution,[],[f166,f205]) ).
fof(f166,plain,
! [X2,X0,X1,X6] :
( ~ member(X6,X2)
| member(sK9(X0,X1,X6),X0)
| ~ maps(X1,X2,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ maps(X1,X2,X0)
| ( ! [X3,X4,X5] :
( ~ member(X5,X0)
| ~ apply(X1,X4,X5)
| ~ member(X3,X0)
| ~ apply(X1,X4,X3)
| X3 = X5
| ~ member(X4,X2) )
& ! [X6] :
( ~ member(X6,X2)
| ( apply(X1,X6,sK9(X0,X1,X6))
& member(sK9(X0,X1,X6),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f101,f102]) ).
fof(f102,plain,
! [X0,X1,X6] :
( ? [X7] :
( apply(X1,X6,X7)
& member(X7,X0) )
=> ( apply(X1,X6,sK9(X0,X1,X6))
& member(sK9(X0,X1,X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ maps(X1,X2,X0)
| ( ! [X3,X4,X5] :
( ~ member(X5,X0)
| ~ apply(X1,X4,X5)
| ~ member(X3,X0)
| ~ apply(X1,X4,X3)
| X3 = X5
| ~ member(X4,X2) )
& ! [X6] :
( ~ member(X6,X2)
| ? [X7] :
( apply(X1,X6,X7)
& member(X7,X0) ) ) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ maps(X0,X1,X2)
| ( ! [X4,X3,X5] :
( ~ member(X5,X2)
| ~ apply(X0,X3,X5)
| ~ member(X4,X2)
| ~ apply(X0,X3,X4)
| X4 = X5
| ~ member(X3,X1) )
& ! [X6] :
( ~ member(X6,X1)
| ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) ) ) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X1,X2,X0] :
( ( ! [X6] :
( ~ member(X6,X1)
| ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) )
& ! [X4,X5,X3] :
( X4 = X5
| ~ apply(X0,X3,X4)
| ~ apply(X0,X3,X5)
| ~ member(X3,X1)
| ~ member(X5,X2)
| ~ member(X4,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X2,X0] :
( maps(X0,X1,X2)
=> ( ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) )
& ! [X4,X5,X3] :
( ( member(X3,X1)
& member(X5,X2)
& member(X4,X2) )
=> ( ( apply(X0,X3,X4)
& apply(X0,X3,X5) )
=> X4 = X5 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f37]) ).
fof(f37,plain,
! [X1,X2,X0] :
( maps(X0,X1,X2)
<=> ( ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) )
& ! [X4,X5,X3] :
( ( member(X3,X1)
& member(X5,X2)
& member(X4,X2) )
=> ( ( apply(X0,X3,X4)
& apply(X0,X3,X5) )
=> X4 = X5 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X0,X1] :
( ( ! [X2,X6,X7] :
( ( member(X2,X0)
& member(X6,X1)
& member(X7,X1) )
=> ( ( apply(X5,X2,X6)
& apply(X5,X2,X7) )
=> X6 = X7 ) )
& ! [X2] :
( member(X2,X0)
=> ? [X4] :
( member(X4,X1)
& apply(X5,X2,X4) ) ) )
<=> maps(X5,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maps) ).
fof(f426,plain,
( ! [X8,X6,X7,X5] :
( ~ member(sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)),X7)
| ~ apply(X8,sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X6)
| ~ member(X6,X7)
| ~ equal_maps(X8,compose_function(sK1,sK6,sK3,sK2,sK4),X5,X7)
| sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)) = X6
| ~ member(sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X5) )
| ~ spl19_1 ),
inference(forward_demodulation,[],[f418,f261]) ).
fof(f418,plain,
( ! [X8,X6,X7,X5] :
( ~ member(sK12(sK1,sK4,sK5,sK2),X7)
| ~ equal_maps(X8,compose_function(sK1,sK6,sK3,sK2,sK4),X5,X7)
| ~ member(sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X5)
| sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)) = X6
| ~ apply(X8,sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X6)
| ~ member(X6,X7) )
| ~ spl19_1 ),
inference(backward_demodulation,[],[f370,f261]) ).
fof(f370,plain,
! [X8,X6,X7,X5] :
( sK12(sK1,sK4,sK5,sK2) = X6
| ~ member(sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X5)
| ~ member(sK12(sK1,sK4,sK5,sK2),X7)
| ~ equal_maps(X8,compose_function(sK1,sK6,sK3,sK2,sK4),X5,X7)
| ~ member(X6,X7)
| ~ apply(X8,sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X6) ),
inference(resolution,[],[f363,f171]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( ~ apply(X0,X7,X9)
| ~ member(X7,X3)
| X8 = X9
| ~ member(X8,X1)
| ~ apply(X2,X7,X8)
| ~ member(X9,X1)
| ~ equal_maps(X2,X0,X3,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f363,plain,
apply(compose_function(sK1,sK6,sK3,sK2,sK4),sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),sK12(sK1,sK4,sK5,sK2)),
inference(resolution,[],[f316,f227]) ).
fof(f316,plain,
! [X0] :
( ~ member(sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),X0)
| apply(compose_function(sK1,sK6,X0,sK2,sK4),sK0(sK3,sK6,sK10(sK1,sK4,sK5,sK2)),sK12(sK1,sK4,sK5,sK2)) ),
inference(resolution,[],[f291,f218]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ apply(X2,X0,sK10(sK1,sK4,sK5,sK2))
| apply(compose_function(sK1,X2,X1,sK2,sK4),X0,sK12(sK1,sK4,sK5,sK2))
| ~ member(X0,X1) ),
inference(resolution,[],[f289,f205]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ member(sK10(sK1,sK4,sK5,sK2),X2)
| ~ member(X3,X1)
| ~ apply(X0,X3,sK10(sK1,sK4,sK5,sK2))
| apply(compose_function(sK1,X0,X1,X2,sK4),X3,sK12(sK1,sK4,sK5,sK2)) ),
inference(resolution,[],[f223,f207]) ).
fof(f207,plain,
member(sK12(sK1,sK4,sK5,sK2),sK4),
inference(resolution,[],[f177,f153]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| member(sK12(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(sK12(sK1,sK4,sK5,sK2),X0)
| apply(compose_function(sK1,X1,X4,X3,X0),X2,sK12(sK1,sK4,sK5,sK2))
| ~ member(X2,X4)
| ~ member(sK10(sK1,sK4,sK5,sK2),X3)
| ~ apply(X1,X2,sK10(sK1,sK4,sK5,sK2)) ),
inference(resolution,[],[f198,f219]) ).
fof(f219,plain,
apply(sK1,sK10(sK1,sK4,sK5,sK2),sK12(sK1,sK4,sK5,sK2)),
inference(resolution,[],[f172,f153]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| apply(X0,sK10(X0,X1,X2,X3),sK12(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f401,plain,
spl19_1,
inference(avatar_split_clause,[],[f400,f259]) ).
fof(f400,plain,
sK12(sK1,sK4,sK5,sK2) = sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)),
inference(subsumption_resolution,[],[f398,f207]) ).
fof(f398,plain,
( sK12(sK1,sK4,sK5,sK2) = sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2))
| ~ member(sK12(sK1,sK4,sK5,sK2),sK4) ),
inference(resolution,[],[f365,f219]) ).
fof(f365,plain,
! [X0] :
( ~ apply(sK1,sK10(sK1,sK4,sK5,sK2),X0)
| ~ member(X0,sK4)
| sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)) = X0 ),
inference(subsumption_resolution,[],[f364,f231]) ).
fof(f364,plain,
! [X0] :
( sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)) = X0
| ~ member(X0,sK4)
| ~ apply(sK1,sK10(sK1,sK4,sK5,sK2),X0)
| ~ member(sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)),sK4) ),
inference(resolution,[],[f355,f151]) ).
fof(f355,plain,
! [X0,X1] :
( ~ maps(sK1,sK2,X1)
| sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)) = X0
| ~ apply(sK1,sK10(sK1,sK4,sK5,sK2),X0)
| ~ member(X0,X1)
| ~ member(sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)),X1) ),
inference(resolution,[],[f257,f205]) ).
fof(f257,plain,
! [X11,X12,X13] :
( ~ member(sK10(sK1,sK4,sK5,sK2),X11)
| ~ member(X13,X12)
| ~ maps(sK1,X11,X12)
| sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)) = X13
| ~ apply(sK1,sK10(sK1,sK4,sK5,sK2),X13)
| ~ member(sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2)),X12) ),
inference(resolution,[],[f243,f168]) ).
fof(f168,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ apply(X1,X4,X5)
| ~ maps(X1,X2,X0)
| ~ member(X4,X2)
| ~ member(X3,X0)
| ~ apply(X1,X4,X3)
| X3 = X5
| ~ member(X5,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f243,plain,
apply(sK1,sK10(sK1,sK4,sK5,sK2),sK9(sK4,sK1,sK10(sK1,sK4,sK5,sK2))),
inference(resolution,[],[f215,f151]) ).
fof(f215,plain,
! [X0,X1] :
( ~ maps(X0,sK2,X1)
| apply(X0,sK10(sK1,sK4,sK5,sK2),sK9(X1,X0,sK10(sK1,sK4,sK5,sK2))) ),
inference(resolution,[],[f167,f205]) ).
fof(f167,plain,
! [X2,X0,X1,X6] :
( ~ member(X6,X2)
| apply(X1,X6,sK9(X0,X1,X6))
| ~ maps(X1,X2,X0) ),
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET724+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.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 14:08:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (29625)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.50 % (29617)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (29613)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (29608)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (29605)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (29608)Instruction limit reached!
% 0.20/0.52 % (29608)------------------------------
% 0.20/0.52 % (29608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (29608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (29608)Termination reason: Unknown
% 0.20/0.52 % (29608)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (29608)Memory used [KB]: 5628
% 0.20/0.52 % (29608)Time elapsed: 0.115 s
% 0.20/0.52 % (29608)Instructions burned: 8 (million)
% 0.20/0.52 % (29608)------------------------------
% 0.20/0.52 % (29608)------------------------------
% 0.20/0.52 % (29603)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (29609)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (29604)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (29623)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (29609)Instruction limit reached!
% 0.20/0.52 % (29609)------------------------------
% 0.20/0.52 % (29609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (29609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (29609)Termination reason: Unknown
% 0.20/0.52 % (29609)Termination phase: shuffling
% 0.20/0.52
% 0.20/0.52 % (29609)Memory used [KB]: 895
% 0.20/0.52 % (29609)Time elapsed: 0.002 s
% 0.20/0.52 % (29609)Instructions burned: 2 (million)
% 0.20/0.52 % (29609)------------------------------
% 0.20/0.52 % (29609)------------------------------
% 0.20/0.52 % (29606)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (29610)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (29601)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (29611)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (29612)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (29614)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (29629)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (29626)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (29616)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (29624)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (29627)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (29628)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (29602)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (29630)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (29615)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (29621)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (29602)Refutation not found, incomplete strategy% (29602)------------------------------
% 0.20/0.54 % (29602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29602)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (29602)Memory used [KB]: 5628
% 0.20/0.54 % (29602)Time elapsed: 0.135 s
% 0.20/0.54 % (29602)Instructions burned: 6 (million)
% 0.20/0.54 % (29602)------------------------------
% 0.20/0.54 % (29602)------------------------------
% 0.20/0.54 % (29619)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (29620)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (29622)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (29618)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (29607)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.58 TRYING [2]
% 0.20/0.60 % (29603)Instruction limit reached!
% 0.20/0.60 % (29603)------------------------------
% 0.20/0.60 % (29603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 TRYING [3]
% 0.20/0.60 % (29605)Instruction limit reached!
% 0.20/0.60 % (29605)------------------------------
% 0.20/0.60 % (29605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (29611)Instruction limit reached!
% 0.20/0.61 % (29611)------------------------------
% 0.20/0.61 % (29611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (29603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (29603)Termination reason: Unknown
% 0.20/0.61 % (29603)Termination phase: Saturation
% 0.20/0.61
% 0.20/0.61 % (29603)Memory used [KB]: 1663
% 0.20/0.61 % (29603)Time elapsed: 0.198 s
% 0.20/0.61 % (29603)Instructions burned: 39 (million)
% 0.20/0.61 % (29603)------------------------------
% 0.20/0.61 % (29603)------------------------------
% 2.01/0.61 TRYING [3]
% 2.01/0.61 % (29607)Instruction limit reached!
% 2.01/0.61 % (29607)------------------------------
% 2.01/0.61 % (29607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61 % (29607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61 % (29607)Termination reason: Unknown
% 2.01/0.61 % (29607)Termination phase: Finite model building constraint generation
% 2.01/0.61
% 2.01/0.61 % (29607)Memory used [KB]: 9338
% 2.01/0.61 % (29607)Time elapsed: 0.174 s
% 2.01/0.61 % (29607)Instructions burned: 52 (million)
% 2.01/0.61 % (29607)------------------------------
% 2.01/0.61 % (29607)------------------------------
% 2.01/0.61 % (29611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61 % (29611)Termination reason: Unknown
% 2.01/0.61 % (29611)Termination phase: Saturation
% 2.01/0.61
% 2.01/0.61 % (29611)Memory used [KB]: 6652
% 2.01/0.61 % (29611)Time elapsed: 0.198 s
% 2.01/0.61 % (29611)Instructions burned: 50 (million)
% 2.01/0.61 % (29611)------------------------------
% 2.01/0.61 % (29611)------------------------------
% 2.01/0.61 % (29618)Instruction limit reached!
% 2.01/0.61 % (29618)------------------------------
% 2.01/0.61 % (29618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62 % (29605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62 % (29605)Termination reason: Unknown
% 2.01/0.62 % (29605)Termination phase: Saturation
% 2.01/0.62
% 2.01/0.62 % (29605)Memory used [KB]: 6652
% 2.01/0.62 % (29605)Time elapsed: 0.204 s
% 2.01/0.62 % (29605)Instructions burned: 52 (million)
% 2.01/0.62 % (29605)------------------------------
% 2.01/0.62 % (29605)------------------------------
% 2.01/0.62 % (29610)Instruction limit reached!
% 2.01/0.62 % (29610)------------------------------
% 2.01/0.62 % (29610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62 % (29610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62 % (29610)Termination reason: Unknown
% 2.01/0.62 % (29610)Termination phase: Saturation
% 2.01/0.62
% 2.01/0.62 % (29610)Memory used [KB]: 2430
% 2.01/0.62 % (29610)Time elapsed: 0.225 s
% 2.01/0.62 % (29610)Instructions burned: 51 (million)
% 2.01/0.62 % (29610)------------------------------
% 2.01/0.62 % (29610)------------------------------
% 2.19/0.63 % (29618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63 % (29618)Termination reason: Unknown
% 2.19/0.63 % (29618)Termination phase: Finite model building constraint generation
% 2.19/0.63
% 2.19/0.63 % (29618)Memory used [KB]: 10490
% 2.19/0.63 % (29618)Time elapsed: 0.197 s
% 2.19/0.63 % (29618)Instructions burned: 62 (million)
% 2.19/0.63 % (29618)------------------------------
% 2.19/0.63 % (29618)------------------------------
% 2.19/0.63 % (29606)Instruction limit reached!
% 2.19/0.63 % (29606)------------------------------
% 2.19/0.63 % (29606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63 % (29606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63 % (29606)Termination reason: Unknown
% 2.19/0.63 % (29606)Termination phase: Saturation
% 2.19/0.63
% 2.19/0.63 % (29606)Memory used [KB]: 6268
% 2.19/0.63 % (29606)Time elapsed: 0.214 s
% 2.19/0.63 % (29606)Instructions burned: 49 (million)
% 2.19/0.63 % (29606)------------------------------
% 2.19/0.63 % (29606)------------------------------
% 2.19/0.63 % (29604)Instruction limit reached!
% 2.19/0.63 % (29604)------------------------------
% 2.19/0.63 % (29604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63 % (29604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63 % (29604)Termination reason: Unknown
% 2.19/0.63 % (29604)Termination phase: Saturation
% 2.19/0.63
% 2.19/0.63 % (29604)Memory used [KB]: 6524
% 2.19/0.63 % (29604)Time elapsed: 0.214 s
% 2.19/0.63 % (29604)Instructions burned: 52 (million)
% 2.19/0.63 % (29604)------------------------------
% 2.19/0.63 % (29604)------------------------------
% 2.26/0.65 % (29615)Instruction limit reached!
% 2.26/0.65 % (29615)------------------------------
% 2.26/0.65 % (29615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66 % (29615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.66 % (29615)Termination reason: Unknown
% 2.26/0.66 % (29615)Termination phase: Saturation
% 2.26/0.66
% 2.26/0.66 % (29615)Memory used [KB]: 7164
% 2.26/0.66 % (29615)Time elapsed: 0.040 s
% 2.26/0.66 % (29615)Instructions burned: 68 (million)
% 2.26/0.66 % (29615)------------------------------
% 2.26/0.66 % (29615)------------------------------
% 2.26/0.66 % (29631)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.26/0.66 % (29627)Instruction limit reached!
% 2.26/0.66 % (29627)------------------------------
% 2.26/0.66 % (29627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66 % (29624)First to succeed.
% 2.26/0.67 % (29627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.67 % (29627)Termination reason: Unknown
% 2.26/0.67 % (29627)Termination phase: Saturation
% 2.26/0.67
% 2.26/0.67 % (29627)Memory used [KB]: 7036
% 2.26/0.67 % (29627)Time elapsed: 0.044 s
% 2.26/0.67 % (29627)Instructions burned: 69 (million)
% 2.26/0.67 % (29627)------------------------------
% 2.26/0.67 % (29627)------------------------------
% 2.26/0.68 % (29616)Instruction limit reached!
% 2.26/0.68 % (29616)------------------------------
% 2.26/0.68 % (29616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.68 % (29616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.68 % (29616)Termination reason: Unknown
% 2.26/0.68 % (29616)Termination phase: Saturation
% 2.26/0.68
% 2.26/0.68 % (29616)Memory used [KB]: 2430
% 2.26/0.68 % (29616)Time elapsed: 0.270 s
% 2.26/0.68 % (29616)Instructions burned: 76 (million)
% 2.26/0.68 % (29616)------------------------------
% 2.26/0.68 % (29616)------------------------------
% 2.26/0.68 % (29632)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.26/0.68 % (29617)Instruction limit reached!
% 2.26/0.68 % (29617)------------------------------
% 2.26/0.68 % (29617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.68 % (29617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.68 % (29617)Termination reason: Unknown
% 2.26/0.68 % (29617)Termination phase: Saturation
% 2.26/0.68
% 2.26/0.68 % (29617)Memory used [KB]: 7036
% 2.26/0.68 % (29617)Time elapsed: 0.242 s
% 2.26/0.68 % (29617)Instructions burned: 99 (million)
% 2.26/0.68 % (29617)------------------------------
% 2.26/0.68 % (29617)------------------------------
% 2.26/0.68 % (29633)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.26/0.69 % (29613)Instruction limit reached!
% 2.26/0.69 % (29613)------------------------------
% 2.26/0.69 % (29613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.69 % (29613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.69 % (29613)Termination reason: Unknown
% 2.26/0.69 % (29613)Termination phase: Saturation
% 2.26/0.69
% 2.26/0.69 % (29613)Memory used [KB]: 7419
% 2.26/0.69 % (29613)Time elapsed: 0.296 s
% 2.26/0.69 % (29624)Refutation found. Thanks to Tanya!
% 2.26/0.69 % SZS status Theorem for theBenchmark
% 2.26/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.69 % (29624)------------------------------
% 2.26/0.69 % (29624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.69 % (29624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.69 % (29624)Termination reason: Refutation
% 2.26/0.69
% 2.26/0.69 % (29624)Memory used [KB]: 6140
% 2.26/0.69 % (29624)Time elapsed: 0.227 s
% 2.26/0.69 % (29624)Instructions burned: 66 (million)
% 2.26/0.69 % (29624)------------------------------
% 2.26/0.69 % (29624)------------------------------
% 2.26/0.69 % (29600)Success in time 0.338 s
%------------------------------------------------------------------------------