TSTP Solution File: SET710+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET710+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_uns --cores 0 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:21:57 EDT 2022
% Result : Theorem 1.47s 0.57s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 80 ( 36 unt; 0 def)
% Number of atoms : 304 ( 23 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 312 ( 88 ~; 79 |; 111 &)
% ( 8 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-5 aty)
% Number of variables : 284 ( 230 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f184,plain,
$false,
inference(subsumption_resolution,[],[f181,f141]) ).
fof(f141,plain,
apply(sK10,sK3(sK9,sK7,sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)))),sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),
inference(backward_demodulation,[],[f109,f135]) ).
fof(f135,plain,
sK11(sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),sK10,sK7,sK9) = sK3(sK9,sK7,sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)))),
inference(unit_resulting_resolution,[],[f68,f83,f91,f90,f107,f108,f65]) ).
fof(f65,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X0,X5,X7)
| ~ maps(X0,X1,X2)
| ~ apply(X0,X5,X6)
| ~ member(X5,X1)
| ~ member(X7,X2)
| ~ member(X6,X2)
| X6 = X7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( member(sK3(X0,X2,X3),X2)
& apply(X0,X3,sK3(X0,X2,X3)) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( ~ apply(X0,X5,X7)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ apply(X0,X5,X6)
| ~ member(X5,X1)
| X6 = X7 ) )
| ~ maps(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f49,f50]) ).
fof(f50,plain,
! [X0,X2,X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
=> ( member(sK3(X0,X2,X3),X2)
& apply(X0,X3,sK3(X0,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( ~ apply(X0,X5,X7)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ apply(X0,X5,X6)
| ~ member(X5,X1)
| X6 = X7 ) )
| ~ maps(X0,X1,X2) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X0)
& apply(X2,X3,X4) )
| ~ member(X3,X1) )
& ! [X7,X5,X6] :
( ~ apply(X2,X7,X6)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ apply(X2,X7,X5)
| ~ member(X7,X1)
| X5 = X6 ) )
| ~ maps(X2,X1,X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X0,X2] :
( ( ! [X6,X7,X5] :
( X5 = X6
| ~ apply(X2,X7,X6)
| ~ apply(X2,X7,X5)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ member(X7,X1) )
& ! [X3] :
( ? [X4] :
( member(X4,X0)
& apply(X2,X3,X4) )
| ~ member(X3,X1) ) )
| ~ maps(X2,X1,X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( maps(X2,X1,X0)
=> ( ! [X6,X7,X5] :
( ( member(X5,X0)
& member(X6,X0)
& member(X7,X1) )
=> ( ( apply(X2,X7,X6)
& apply(X2,X7,X5) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& apply(X2,X3,X4) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( ( ! [X6,X7,X5] :
( ( member(X5,X0)
& member(X6,X0)
& member(X7,X1) )
=> ( ( apply(X2,X7,X6)
& apply(X2,X7,X5) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& apply(X2,X3,X4) ) ) )
<=> maps(X2,X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0,X5] :
( maps(X5,X0,X1)
<=> ( ! [X2] :
( member(X2,X0)
=> ? [X4] :
( member(X4,X1)
& apply(X5,X2,X4) ) )
& ! [X7,X6,X2] :
( ( member(X6,X1)
& member(X7,X1)
& member(X2,X0) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maps) ).
fof(f108,plain,
apply(sK9,sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),sK11(sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),sK10,sK7,sK9)),
inference(unit_resulting_resolution,[],[f79,f83,f104,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X3,X6,X2,X4,X5),X1,X0)
| ~ member(X1,X2)
| apply(X6,X1,sK11(X0,X1,X3,X4,X6))
| ~ member(X0,X5) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X1,X2)
| ~ member(X0,X5)
| ( ( apply(compose_function(X3,X6,X2,X4,X5),X1,X0)
| ! [X7] :
( ~ apply(X3,X7,X0)
| ~ member(X7,X4)
| ~ apply(X6,X1,X7) ) )
& ( ( apply(X3,sK11(X0,X1,X3,X4,X6),X0)
& member(sK11(X0,X1,X3,X4,X6),X4)
& apply(X6,X1,sK11(X0,X1,X3,X4,X6)) )
| ~ apply(compose_function(X3,X6,X2,X4,X5),X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f56,f57]) ).
fof(f57,plain,
! [X0,X1,X3,X4,X6] :
( ? [X8] :
( apply(X3,X8,X0)
& member(X8,X4)
& apply(X6,X1,X8) )
=> ( apply(X3,sK11(X0,X1,X3,X4,X6),X0)
& member(sK11(X0,X1,X3,X4,X6),X4)
& apply(X6,X1,sK11(X0,X1,X3,X4,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X1,X2)
| ~ member(X0,X5)
| ( ( apply(compose_function(X3,X6,X2,X4,X5),X1,X0)
| ! [X7] :
( ~ apply(X3,X7,X0)
| ~ member(X7,X4)
| ~ apply(X6,X1,X7) ) )
& ( ? [X8] :
( apply(X3,X8,X0)
& member(X8,X4)
& apply(X6,X1,X8) )
| ~ apply(compose_function(X3,X6,X2,X4,X5),X1,X0) ) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X2,X3,X1,X6,X0,X4,X5] :
( ~ member(X3,X1)
| ~ member(X2,X4)
| ( ( apply(compose_function(X6,X5,X1,X0,X4),X3,X2)
| ! [X7] :
( ~ apply(X6,X7,X2)
| ~ member(X7,X0)
| ~ apply(X5,X3,X7) ) )
& ( ? [X7] :
( apply(X6,X7,X2)
& member(X7,X0)
& apply(X5,X3,X7) )
| ~ apply(compose_function(X6,X5,X1,X0,X4),X3,X2) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X2,X3,X1,X6,X0,X4,X5] :
( ~ member(X3,X1)
| ~ member(X2,X4)
| ( apply(compose_function(X6,X5,X1,X0,X4),X3,X2)
<=> ? [X7] :
( apply(X6,X7,X2)
& member(X7,X0)
& apply(X5,X3,X7) ) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X6,X1,X4,X3,X5,X0,X2] :
( ( apply(compose_function(X6,X5,X1,X0,X4),X3,X2)
<=> ? [X7] :
( apply(X6,X7,X2)
& member(X7,X0)
& apply(X5,X3,X7) ) )
| ~ member(X3,X1)
| ~ member(X2,X4) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X6,X1,X4,X3,X5,X0,X2] :
( ( member(X3,X1)
& member(X2,X4) )
=> ( apply(compose_function(X6,X5,X1,X0,X4),X3,X2)
<=> ? [X7] :
( apply(X6,X7,X2)
& member(X7,X0)
& apply(X5,X3,X7) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0,X11,X2,X10,X5,X9] :
( ( member(X2,X0)
& member(X11,X10) )
=> ( ? [X4] :
( member(X4,X1)
& apply(X9,X4,X11)
& apply(X5,X2,X4) )
<=> apply(compose_function(X9,X5,X0,X1,X10),X2,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_function) ).
fof(f104,plain,
apply(compose_function(sK10,sK9,sK6,sK7,sK4),sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),
inference(backward_demodulation,[],[f86,f98]) ).
fof(f98,plain,
sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))) = sK11(sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),compose_function(sK10,sK9,sK6,sK7,sK4),sK6,sK5),
inference(unit_resulting_resolution,[],[f70,f78,f83,f82,f84,f85,f65]) ).
fof(f85,plain,
apply(sK5,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK11(sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),compose_function(sK10,sK9,sK6,sK7,sK4),sK6,sK5)),
inference(unit_resulting_resolution,[],[f79,f78,f77,f72]) ).
fof(f77,plain,
apply(compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),
inference(unit_resulting_resolution,[],[f69,f63]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( apply(X1,sK1(X0,X1,X2,X3),sK0(X0,X1,X2,X3))
| equal_maps(X3,X1,X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( equal_maps(X3,X1,X0,X2)
| ( apply(X3,sK1(X0,X1,X2,X3),sK2(X0,X1,X2,X3))
& apply(X1,sK1(X0,X1,X2,X3),sK0(X0,X1,X2,X3))
& member(sK0(X0,X1,X2,X3),X2)
& member(sK1(X0,X1,X2,X3),X0)
& sK2(X0,X1,X2,X3) != sK0(X0,X1,X2,X3)
& member(sK2(X0,X1,X2,X3),X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f46,f47]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( apply(X3,X5,X6)
& apply(X1,X5,X4)
& member(X4,X2)
& member(X5,X0)
& X4 != X6
& member(X6,X2) )
=> ( apply(X3,sK1(X0,X1,X2,X3),sK2(X0,X1,X2,X3))
& apply(X1,sK1(X0,X1,X2,X3),sK0(X0,X1,X2,X3))
& member(sK0(X0,X1,X2,X3),X2)
& member(sK1(X0,X1,X2,X3),X0)
& sK2(X0,X1,X2,X3) != sK0(X0,X1,X2,X3)
& member(sK2(X0,X1,X2,X3),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( equal_maps(X3,X1,X0,X2)
| ? [X4,X5,X6] :
( apply(X3,X5,X6)
& apply(X1,X5,X4)
& member(X4,X2)
& member(X5,X0)
& X4 != X6
& member(X6,X2) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0,X3,X2] :
( equal_maps(X2,X0,X1,X3)
| ? [X4,X5,X6] :
( apply(X2,X5,X6)
& apply(X0,X5,X4)
& member(X4,X3)
& member(X5,X1)
& X4 != X6
& member(X6,X3) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X3,X0,X2] :
( equal_maps(X2,X0,X1,X3)
| ? [X6,X4,X5] :
( X4 != X6
& apply(X0,X5,X4)
& apply(X2,X5,X6)
& member(X4,X3)
& member(X5,X1)
& member(X6,X3) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X3,X0,X2] :
( ! [X6,X4,X5] :
( ( member(X4,X3)
& member(X5,X1)
& member(X6,X3) )
=> ( ( apply(X0,X5,X4)
& apply(X2,X5,X6) )
=> X4 = X6 ) )
=> equal_maps(X2,X0,X1,X3) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,plain,
! [X1,X3,X0,X2] :
( ! [X6,X4,X5] :
( ( member(X4,X3)
& member(X5,X1)
& member(X6,X3) )
=> ( ( apply(X0,X5,X4)
& apply(X2,X5,X6) )
=> X4 = X6 ) )
<=> equal_maps(X2,X0,X1,X3) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X9,X0,X5,X1] :
( ! [X7,X2,X6] :
( ( member(X6,X1)
& member(X2,X0)
& member(X7,X1) )
=> ( ( apply(X5,X2,X6)
& apply(X9,X2,X7) )
=> X6 = X7 ) )
<=> equal_maps(X5,X9,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_maps) ).
fof(f69,plain,
~ equal_maps(compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4),compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK8,sK4),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( maps(sK10,sK7,sK4)
& maps(sK5,sK8,sK6)
& ~ equal_maps(compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4),compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK8,sK4)
& maps(sK9,sK6,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f52,f53]) ).
fof(f53,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( maps(X6,X3,X0)
& maps(X1,X4,X2)
& ~ equal_maps(compose_function(X6,compose_function(X5,X1,X4,X2,X3),X4,X3,X0),compose_function(compose_function(X6,X5,X2,X3,X0),X1,X4,X2,X0),X4,X0)
& maps(X5,X2,X3) )
=> ( maps(sK10,sK7,sK4)
& maps(sK5,sK8,sK6)
& ~ equal_maps(compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4),compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK8,sK4)
& maps(sK9,sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( maps(X6,X3,X0)
& maps(X1,X4,X2)
& ~ equal_maps(compose_function(X6,compose_function(X5,X1,X4,X2,X3),X4,X3,X0),compose_function(compose_function(X6,X5,X2,X3,X0),X1,X4,X2,X0),X4,X0)
& maps(X5,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X2,X6,X1,X0,X3,X5,X4] :
( maps(X4,X0,X2)
& maps(X6,X3,X1)
& ~ equal_maps(compose_function(X4,compose_function(X5,X6,X3,X1,X0),X3,X0,X2),compose_function(compose_function(X4,X5,X1,X0,X2),X6,X3,X1,X2),X3,X2)
& maps(X5,X1,X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X2,X5,X4,X6,X0,X1,X3] :
( ~ equal_maps(compose_function(X4,compose_function(X5,X6,X3,X1,X0),X3,X0,X2),compose_function(compose_function(X4,X5,X1,X0,X2),X6,X3,X1,X2),X3,X2)
& maps(X6,X3,X1)
& maps(X5,X1,X0)
& maps(X4,X0,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X2,X5,X4,X6,X0,X1,X3] :
( ( maps(X6,X3,X1)
& maps(X5,X1,X0)
& maps(X4,X0,X2) )
=> equal_maps(compose_function(X4,compose_function(X5,X6,X3,X1,X0),X3,X0,X2),compose_function(compose_function(X4,X5,X1,X0,X2),X6,X3,X1,X2),X3,X2) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X10,X1,X16,X0,X8,X9,X5] :
( ( maps(X8,X10,X16)
& maps(X5,X0,X1)
& maps(X9,X1,X10) )
=> equal_maps(compose_function(X8,compose_function(X9,X5,X0,X1,X10),X0,X10,X16),compose_function(compose_function(X8,X9,X1,X10,X16),X5,X0,X1,X16),X0,X16) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X10,X1,X16,X0,X8,X9,X5] :
( ( maps(X8,X10,X16)
& maps(X5,X0,X1)
& maps(X9,X1,X10) )
=> equal_maps(compose_function(X8,compose_function(X9,X5,X0,X1,X10),X0,X10,X16),compose_function(compose_function(X8,X9,X1,X10,X16),X5,X0,X1,X16),X0,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII02) ).
fof(f84,plain,
member(sK11(sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),compose_function(sK10,sK9,sK6,sK7,sK4),sK6,sK5),sK6),
inference(unit_resulting_resolution,[],[f79,f78,f77,f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X3,X6,X2,X4,X5),X1,X0)
| ~ member(X0,X5)
| ~ member(X1,X2)
| member(sK11(X0,X1,X3,X4,X6),X4) ),
inference(cnf_transformation,[],[f58]) ).
fof(f82,plain,
apply(sK5,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)))),
inference(unit_resulting_resolution,[],[f70,f78,f66]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK3(X0,X2,X3)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f78,plain,
member(sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK8),
inference(unit_resulting_resolution,[],[f69,f61]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( member(sK1(X0,X1,X2,X3),X0)
| equal_maps(X3,X1,X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f70,plain,
maps(sK5,sK8,sK6),
inference(cnf_transformation,[],[f54]) ).
fof(f86,plain,
apply(compose_function(sK10,sK9,sK6,sK7,sK4),sK11(sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),compose_function(sK10,sK9,sK6,sK7,sK4),sK6,sK5),sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),
inference(unit_resulting_resolution,[],[f79,f78,f77,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X3,X6,X2,X4,X5),X1,X0)
| apply(X3,sK11(X0,X1,X3,X4,X6),X0)
| ~ member(X1,X2)
| ~ member(X0,X5) ),
inference(cnf_transformation,[],[f58]) ).
fof(f79,plain,
member(sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK4),
inference(unit_resulting_resolution,[],[f69,f62]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( member(sK0(X0,X1,X2,X3),X2)
| equal_maps(X3,X1,X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f107,plain,
member(sK11(sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),sK10,sK7,sK9),sK7),
inference(unit_resulting_resolution,[],[f79,f83,f104,f73]) ).
fof(f90,plain,
apply(sK9,sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),sK3(sK9,sK7,sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))))),
inference(unit_resulting_resolution,[],[f68,f83,f66]) ).
fof(f91,plain,
member(sK3(sK9,sK7,sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)))),sK7),
inference(unit_resulting_resolution,[],[f68,f83,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK3(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f83,plain,
member(sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),sK6),
inference(unit_resulting_resolution,[],[f70,f78,f67]) ).
fof(f68,plain,
maps(sK9,sK6,sK7),
inference(cnf_transformation,[],[f54]) ).
fof(f109,plain,
apply(sK10,sK11(sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),sK10,sK7,sK9),sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),
inference(unit_resulting_resolution,[],[f79,f83,f104,f74]) ).
fof(f181,plain,
~ apply(sK10,sK3(sK9,sK7,sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)))),sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),
inference(backward_demodulation,[],[f113,f170]) ).
fof(f170,plain,
sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7)) = sK3(sK9,sK7,sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)))),
inference(unit_resulting_resolution,[],[f68,f83,f91,f90,f87,f167,f65]) ).
fof(f167,plain,
apply(sK9,sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7))),
inference(backward_demodulation,[],[f119,f163]) ).
fof(f163,plain,
sK3(sK5,sK6,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))) = sK11(sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK9,sK6,sK5),
inference(unit_resulting_resolution,[],[f70,f78,f83,f82,f117,f118,f65]) ).
fof(f118,plain,
apply(sK5,sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK11(sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK9,sK6,sK5)),
inference(unit_resulting_resolution,[],[f78,f87,f88,f72]) ).
fof(f88,plain,
apply(compose_function(sK9,sK5,sK8,sK6,sK7),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7))),
inference(unit_resulting_resolution,[],[f76,f78,f81,f72]) ).
fof(f81,plain,
apply(compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),
inference(unit_resulting_resolution,[],[f69,f64]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( apply(X3,sK1(X0,X1,X2,X3),sK2(X0,X1,X2,X3))
| equal_maps(X3,X1,X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f76,plain,
member(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK4),
inference(unit_resulting_resolution,[],[f69,f59]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( member(sK2(X0,X1,X2,X3),X2)
| equal_maps(X3,X1,X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f117,plain,
member(sK11(sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK9,sK6,sK5),sK6),
inference(unit_resulting_resolution,[],[f78,f87,f88,f73]) ).
fof(f119,plain,
apply(sK9,sK11(sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK9,sK6,sK5),sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7))),
inference(unit_resulting_resolution,[],[f78,f87,f88,f74]) ).
fof(f87,plain,
member(sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7)),sK7),
inference(unit_resulting_resolution,[],[f76,f78,f81,f73]) ).
fof(f113,plain,
~ apply(sK10,sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7)),sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),
inference(unit_resulting_resolution,[],[f71,f79,f80,f76,f87,f89,f65]) ).
fof(f89,plain,
apply(sK10,sK11(sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK1(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),sK10,sK7,compose_function(sK9,sK5,sK8,sK6,sK7)),sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4))),
inference(unit_resulting_resolution,[],[f76,f78,f81,f74]) ).
fof(f80,plain,
sK0(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)) != sK2(sK8,compose_function(compose_function(sK10,sK9,sK6,sK7,sK4),sK5,sK8,sK6,sK4),sK4,compose_function(sK10,compose_function(sK9,sK5,sK8,sK6,sK7),sK8,sK7,sK4)),
inference(unit_resulting_resolution,[],[f69,f60]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( sK2(X0,X1,X2,X3) != sK0(X0,X1,X2,X3)
| equal_maps(X3,X1,X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f71,plain,
maps(sK10,sK7,sK4),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET710+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:55:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (3860)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.48 % (3881)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50 % (3881)Instruction limit reached!
% 0.19/0.50 % (3881)------------------------------
% 0.19/0.50 % (3881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (3881)Termination reason: Unknown
% 0.19/0.50 % (3881)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (3881)Memory used [KB]: 6140
% 0.19/0.50 % (3881)Time elapsed: 0.083 s
% 0.19/0.50 % (3881)Instructions burned: 8 (million)
% 0.19/0.50 % (3881)------------------------------
% 0.19/0.50 % (3881)------------------------------
% 1.24/0.52 % (3856)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)
% 1.24/0.52 % (3862)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)
% 1.24/0.52 % (3857)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)
% 1.24/0.52 % (3858)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)
% 1.24/0.53 % (3860)Instruction limit reached!
% 1.24/0.53 % (3860)------------------------------
% 1.24/0.53 % (3860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (3860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (3860)Termination reason: Unknown
% 1.24/0.53 % (3860)Termination phase: Saturation
% 1.24/0.53
% 1.24/0.53 % (3860)Memory used [KB]: 6652
% 1.24/0.53 % (3860)Time elapsed: 0.109 s
% 1.24/0.53 % (3860)Instructions burned: 39 (million)
% 1.24/0.53 % (3860)------------------------------
% 1.24/0.53 % (3860)------------------------------
% 1.24/0.53 % (3867)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)
% 1.24/0.53 % (3878)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)
% 1.24/0.53 % (3875)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)
% 1.24/0.53 % (3877)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)
% 1.24/0.53 % (3857)Instruction limit reached!
% 1.24/0.53 % (3857)------------------------------
% 1.24/0.53 % (3857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (3857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (3857)Termination reason: Unknown
% 1.24/0.53 % (3857)Termination phase: Saturation
% 1.24/0.53
% 1.24/0.53 % (3857)Memory used [KB]: 6268
% 1.24/0.53 % (3857)Time elapsed: 0.131 s
% 1.24/0.53 % (3857)Instructions burned: 13 (million)
% 1.24/0.53 % (3857)------------------------------
% 1.24/0.53 % (3857)------------------------------
% 1.24/0.53 % (3855)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)
% 1.47/0.53 % (3854)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)
% 1.47/0.53 % (3870)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.47/0.53 % (3855)Instruction limit reached!
% 1.47/0.53 % (3855)------------------------------
% 1.47/0.53 % (3855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.53 % (3855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53 % (3855)Termination reason: Unknown
% 1.47/0.53 % (3855)Termination phase: Saturation
% 1.47/0.53
% 1.47/0.53 % (3855)Memory used [KB]: 1535
% 1.47/0.53 % (3855)Time elapsed: 0.004 s
% 1.47/0.53 % (3855)Instructions burned: 4 (million)
% 1.47/0.53 % (3855)------------------------------
% 1.47/0.53 % (3855)------------------------------
% 1.47/0.53 % (3870)Instruction limit reached!
% 1.47/0.53 % (3870)------------------------------
% 1.47/0.53 % (3870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.53 % (3870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53 % (3870)Termination reason: Unknown
% 1.47/0.53 % (3870)Termination phase: shuffling
% 1.47/0.53
% 1.47/0.53 % (3870)Memory used [KB]: 1535
% 1.47/0.53 % (3870)Time elapsed: 0.003 s
% 1.47/0.53 % (3870)Instructions burned: 4 (million)
% 1.47/0.53 % (3870)------------------------------
% 1.47/0.53 % (3870)------------------------------
% 1.47/0.53 % (3879)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)
% 1.47/0.53 % (3864)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)
% 1.47/0.53 % (3880)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)
% 1.47/0.54 % (3853)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.47/0.54 % (3863)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)
% 1.47/0.54 % (3873)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)
% 1.47/0.54 % (3864)Instruction limit reached!
% 1.47/0.54 % (3864)------------------------------
% 1.47/0.54 % (3864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (3864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (3864)Termination reason: Unknown
% 1.47/0.54 % (3864)Termination phase: Saturation
% 1.47/0.54
% 1.47/0.54 % (3864)Memory used [KB]: 6140
% 1.47/0.54 % (3864)Time elapsed: 0.144 s
% 1.47/0.54 % (3864)Instructions burned: 7 (million)
% 1.47/0.54 % (3864)------------------------------
% 1.47/0.54 % (3864)------------------------------
% 1.47/0.54 % (3871)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)
% 1.47/0.54 % (3861)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)
% 1.47/0.54 % (3871)Instruction limit reached!
% 1.47/0.54 % (3871)------------------------------
% 1.47/0.54 % (3871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (3871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (3871)Termination reason: Unknown
% 1.47/0.54 % (3871)Termination phase: Preprocessing 2
% 1.47/0.54
% 1.47/0.54 % (3871)Memory used [KB]: 1407
% 1.47/0.54 % (3871)Time elapsed: 0.002 s
% 1.47/0.54 % (3871)Instructions burned: 2 (million)
% 1.47/0.54 % (3871)------------------------------
% 1.47/0.54 % (3871)------------------------------
% 1.47/0.54 % (3865)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)
% 1.47/0.54 % (3872)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)
% 1.47/0.54 % (3869)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)
% 1.47/0.54 % (3872)Refutation not found, incomplete strategy% (3872)------------------------------
% 1.47/0.54 % (3872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (3872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (3872)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.54
% 1.47/0.54 % (3872)Memory used [KB]: 6012
% 1.47/0.54 % (3872)Time elapsed: 0.147 s
% 1.47/0.54 % (3872)Instructions burned: 3 (million)
% 1.47/0.54 % (3872)------------------------------
% 1.47/0.54 % (3872)------------------------------
% 1.47/0.54 % (3856)First to succeed.
% 1.47/0.54 % (3859)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)
% 1.47/0.54 % (3866)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)
% 1.47/0.54 % (3876)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)
% 1.47/0.55 % (3867)Instruction limit reached!
% 1.47/0.55 % (3867)------------------------------
% 1.47/0.55 % (3867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (3867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (3867)Termination reason: Unknown
% 1.47/0.55 % (3867)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (3867)Memory used [KB]: 1535
% 1.47/0.55 % (3867)Time elapsed: 0.004 s
% 1.47/0.55 % (3867)Instructions burned: 4 (million)
% 1.47/0.55 % (3867)------------------------------
% 1.47/0.55 % (3867)------------------------------
% 1.47/0.55 % (3868)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)
% 1.47/0.55 % (3858)Instruction limit reached!
% 1.47/0.55 % (3858)------------------------------
% 1.47/0.55 % (3858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (3858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (3858)Termination reason: Unknown
% 1.47/0.55 % (3858)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (3858)Memory used [KB]: 1663
% 1.47/0.55 % (3858)Time elapsed: 0.130 s
% 1.47/0.55 % (3858)Instructions burned: 16 (million)
% 1.47/0.55 % (3858)------------------------------
% 1.47/0.55 % (3858)------------------------------
% 1.47/0.55 % (3874)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)
% 1.47/0.55 % (3868)Instruction limit reached!
% 1.47/0.55 % (3868)------------------------------
% 1.47/0.55 % (3868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (3868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (3868)Termination reason: Unknown
% 1.47/0.55 % (3868)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (3868)Memory used [KB]: 6140
% 1.47/0.55 % (3868)Time elapsed: 0.163 s
% 1.47/0.55 % (3868)Instructions burned: 7 (million)
% 1.47/0.55 % (3868)------------------------------
% 1.47/0.55 % (3868)------------------------------
% 1.47/0.55 % (3854)Refutation not found, incomplete strategy% (3854)------------------------------
% 1.47/0.55 % (3854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (3854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (3854)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.55
% 1.47/0.55 % (3854)Memory used [KB]: 6140
% 1.47/0.55 % (3854)Time elapsed: 0.141 s
% 1.47/0.55 % (3854)Instructions burned: 9 (million)
% 1.47/0.55 % (3854)------------------------------
% 1.47/0.55 % (3854)------------------------------
% 1.47/0.56 % (3882)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)
% 1.47/0.56 % (3863)Instruction limit reached!
% 1.47/0.56 % (3863)------------------------------
% 1.47/0.56 % (3863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (3863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (3863)Termination reason: Unknown
% 1.47/0.56 % (3863)Termination phase: Saturation
% 1.47/0.56
% 1.47/0.56 % (3863)Memory used [KB]: 6140
% 1.47/0.56 % (3863)Time elapsed: 0.170 s
% 1.47/0.56 % (3863)Instructions burned: 12 (million)
% 1.47/0.56 % (3863)------------------------------
% 1.47/0.56 % (3863)------------------------------
% 1.47/0.57 % (3862)Also succeeded, but the first one will report.
% 1.47/0.57 % (3856)Refutation found. Thanks to Tanya!
% 1.47/0.57 % SZS status Theorem for theBenchmark
% 1.47/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.57 % (3856)------------------------------
% 1.47/0.57 % (3856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (3856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (3856)Termination reason: Refutation
% 1.47/0.57
% 1.47/0.57 % (3856)Memory used [KB]: 6268
% 1.47/0.57 % (3856)Time elapsed: 0.149 s
% 1.47/0.57 % (3856)Instructions burned: 21 (million)
% 1.47/0.57 % (3856)------------------------------
% 1.47/0.57 % (3856)------------------------------
% 1.47/0.57 % (3852)Success in time 0.209 s
%------------------------------------------------------------------------------