TSTP Solution File: SET727+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET727+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 : n023.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 18:22:01 EDT 2022
% Result : Theorem 1.88s 0.59s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 129 ( 25 unt; 0 def)
% Number of atoms : 526 ( 58 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 622 ( 225 ~; 218 |; 133 &)
% ( 14 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-5 aty)
% Number of variables : 380 ( 334 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f316,plain,
$false,
inference(subsumption_resolution,[],[f315,f102]) ).
fof(f102,plain,
sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) != sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),
inference(resolution,[],[f78,f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| sK7(X0,X1,X2,X3) != sK8(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( equal_maps(X2,X0,X3,X1)
| ( apply(X2,sK9(X0,X1,X2,X3),sK8(X0,X1,X2,X3))
& member(sK8(X0,X1,X2,X3),X1)
& member(sK9(X0,X1,X2,X3),X3)
& apply(X0,sK9(X0,X1,X2,X3),sK7(X0,X1,X2,X3))
& member(sK7(X0,X1,X2,X3),X1)
& sK7(X0,X1,X2,X3) != sK8(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f63,f64]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( apply(X2,X6,X5)
& member(X5,X1)
& member(X6,X3)
& apply(X0,X6,X4)
& member(X4,X1)
& X4 != X5 )
=> ( apply(X2,sK9(X0,X1,X2,X3),sK8(X0,X1,X2,X3))
& member(sK8(X0,X1,X2,X3),X1)
& member(sK9(X0,X1,X2,X3),X3)
& apply(X0,sK9(X0,X1,X2,X3),sK7(X0,X1,X2,X3))
& member(sK7(X0,X1,X2,X3),X1)
& sK7(X0,X1,X2,X3) != sK8(X0,X1,X2,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( equal_maps(X2,X0,X3,X1)
| ? [X4,X5,X6] :
( apply(X2,X6,X5)
& member(X5,X1)
& member(X6,X3)
& apply(X0,X6,X4)
& member(X4,X1)
& X4 != X5 ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X3,X2] :
( equal_maps(X3,X0,X2,X1)
| ? [X6,X5,X4] :
( apply(X3,X4,X5)
& member(X5,X1)
& member(X4,X2)
& apply(X0,X4,X6)
& member(X6,X1)
& X5 != X6 ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1,X3] :
( equal_maps(X3,X0,X2,X1)
| ? [X5,X6,X4] :
( X5 != X6
& apply(X0,X4,X6)
& apply(X3,X4,X5)
& member(X6,X1)
& member(X4,X2)
& member(X5,X1) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1,X3] :
( ! [X5,X6,X4] :
( ( member(X6,X1)
& member(X4,X2)
& member(X5,X1) )
=> ( ( apply(X0,X4,X6)
& apply(X3,X4,X5) )
=> X5 = X6 ) )
=> equal_maps(X3,X0,X2,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1,X3] :
( ! [X5,X6,X4] :
( ( member(X6,X1)
& member(X4,X2)
& member(X5,X1) )
=> ( ( apply(X0,X4,X6)
& apply(X3,X4,X5) )
=> X5 = X6 ) )
<=> equal_maps(X3,X0,X2,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X9,X1,X0,X5] :
( ! [X2,X6,X7] :
( ( member(X2,X0)
& member(X7,X1)
& member(X6,X1) )
=> ( ( apply(X9,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) )
<=> equal_maps(X5,X9,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_maps) ).
fof(f78,plain,
~ equal_maps(inverse_function(sK3,sK5,sK4),sK6,sK4,sK5),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( maps(sK2,sK4,sK5)
& identity(compose_function(sK3,sK6,sK4,sK5,sK4),sK4)
& ~ equal_maps(inverse_function(sK3,sK5,sK4),sK6,sK4,sK5)
& identity(compose_function(sK2,sK3,sK5,sK4,sK5),sK5)
& maps(sK6,sK4,sK5)
& maps(sK3,sK5,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f60,f61]) ).
fof(f61,plain,
( ? [X0,X1,X2,X3,X4] :
( maps(X0,X2,X3)
& identity(compose_function(X1,X4,X2,X3,X2),X2)
& ~ equal_maps(inverse_function(X1,X3,X2),X4,X2,X3)
& identity(compose_function(X0,X1,X3,X2,X3),X3)
& maps(X4,X2,X3)
& maps(X1,X3,X2) )
=> ( maps(sK2,sK4,sK5)
& identity(compose_function(sK3,sK6,sK4,sK5,sK4),sK4)
& ~ equal_maps(inverse_function(sK3,sK5,sK4),sK6,sK4,sK5)
& identity(compose_function(sK2,sK3,sK5,sK4,sK5),sK5)
& maps(sK6,sK4,sK5)
& maps(sK3,sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0,X1,X2,X3,X4] :
( maps(X0,X2,X3)
& identity(compose_function(X1,X4,X2,X3,X2),X2)
& ~ equal_maps(inverse_function(X1,X3,X2),X4,X2,X3)
& identity(compose_function(X0,X1,X3,X2,X3),X3)
& maps(X4,X2,X3)
& maps(X1,X3,X2) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
? [X4,X3,X2,X1,X0] :
( maps(X4,X2,X1)
& identity(compose_function(X3,X0,X2,X1,X2),X2)
& ~ equal_maps(inverse_function(X3,X1,X2),X0,X2,X1)
& identity(compose_function(X4,X3,X1,X2,X1),X1)
& maps(X0,X2,X1)
& maps(X3,X1,X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X4,X2,X0,X3,X1] :
( ~ equal_maps(inverse_function(X3,X1,X2),X0,X2,X1)
& maps(X3,X1,X2)
& maps(X0,X2,X1)
& identity(compose_function(X4,X3,X1,X2,X1),X1)
& identity(compose_function(X3,X0,X2,X1,X2),X2)
& maps(X4,X2,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X4,X2,X0,X3,X1] :
( ( maps(X3,X1,X2)
& maps(X0,X2,X1)
& identity(compose_function(X4,X3,X1,X2,X1),X1)
& identity(compose_function(X3,X0,X2,X1,X2),X2)
& maps(X4,X2,X1) )
=> equal_maps(inverse_function(X3,X1,X2),X0,X2,X1) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X8,X0,X1,X5,X9] :
( ( maps(X9,X1,X0)
& identity(compose_function(X9,X5,X0,X1,X0),X0)
& maps(X5,X0,X1)
& maps(X8,X1,X0)
& identity(compose_function(X5,X8,X1,X0,X1),X1) )
=> equal_maps(inverse_function(X5,X0,X1),X8,X1,X0) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X8,X0,X1,X5,X9] :
( ( maps(X9,X1,X0)
& identity(compose_function(X9,X5,X0,X1,X0),X0)
& maps(X5,X0,X1)
& maps(X8,X1,X0)
& identity(compose_function(X5,X8,X1,X0,X1),X1) )
=> equal_maps(inverse_function(X5,X0,X1),X8,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII18) ).
fof(f315,plain,
sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),
inference(forward_demodulation,[],[f314,f305]) ).
fof(f305,plain,
sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK1(sK2,sK5,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(forward_demodulation,[],[f179,f295]) ).
fof(f295,plain,
sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK0(sK2,sK4,sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK3,sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(forward_demodulation,[],[f155,f285]) ).
fof(f285,plain,
sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK1(sK3,sK4,sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(forward_demodulation,[],[f145,f213]) ).
fof(f213,plain,
sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK0(sK3,sK5,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK6,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(subsumption_resolution,[],[f212,f101]) ).
fof(f101,plain,
member(sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK5),
inference(resolution,[],[f78,f83]) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| member(sK7(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f212,plain,
( sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK0(sK3,sK5,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK6,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4))
| ~ member(sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK5) ),
inference(subsumption_resolution,[],[f209,f99]) ).
fof(f99,plain,
member(sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK4),
inference(resolution,[],[f78,f85]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| member(sK9(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f209,plain,
( ~ member(sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK4)
| ~ member(sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK5)
| sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK0(sK3,sK5,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK6,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)) ),
inference(resolution,[],[f139,f100]) ).
fof(f100,plain,
apply(sK6,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(resolution,[],[f78,f84]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| apply(X0,sK9(X0,X1,X2,X3),sK7(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f139,plain,
! [X2,X3] :
( ~ apply(sK6,X2,X3)
| sK0(sK3,sK5,X2,sK6,X2) = X3
| ~ member(X2,sK4)
| ~ member(X3,sK5) ),
inference(subsumption_resolution,[],[f138,f114]) ).
fof(f114,plain,
! [X2] :
( member(sK0(sK3,sK5,X2,sK6,X2),sK5)
| ~ member(X2,sK4) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
! [X2] :
( ~ member(X2,sK4)
| member(sK0(sK3,sK5,X2,sK6,X2),sK5)
| ~ member(X2,sK4)
| ~ member(X2,sK4) ),
inference(resolution,[],[f104,f69]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X4,X6,X1,X3),X5,X2)
| ~ member(X5,X6)
| member(sK0(X0,X1,X2,X4,X5),X1)
| ~ member(X2,X3) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X5,X6)
| ~ member(X2,X3)
| ( ( ( member(sK0(X0,X1,X2,X4,X5),X1)
& apply(X4,X5,sK0(X0,X1,X2,X4,X5))
& apply(X0,sK0(X0,X1,X2,X4,X5),X2) )
| ~ apply(compose_function(X0,X4,X6,X1,X3),X5,X2) )
& ( apply(compose_function(X0,X4,X6,X1,X3),X5,X2)
| ! [X8] :
( ~ member(X8,X1)
| ~ apply(X4,X5,X8)
| ~ apply(X0,X8,X2) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1,X2,X4,X5] :
( ? [X7] :
( member(X7,X1)
& apply(X4,X5,X7)
& apply(X0,X7,X2) )
=> ( member(sK0(X0,X1,X2,X4,X5),X1)
& apply(X4,X5,sK0(X0,X1,X2,X4,X5))
& apply(X0,sK0(X0,X1,X2,X4,X5),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X5,X6)
| ~ member(X2,X3)
| ( ( ? [X7] :
( member(X7,X1)
& apply(X4,X5,X7)
& apply(X0,X7,X2) )
| ~ apply(compose_function(X0,X4,X6,X1,X3),X5,X2) )
& ( apply(compose_function(X0,X4,X6,X1,X3),X5,X2)
| ! [X8] :
( ~ member(X8,X1)
| ~ apply(X4,X5,X8)
| ~ apply(X0,X8,X2) ) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X6,X1,X2,X3,X5,X0,X4] :
( ~ member(X0,X4)
| ~ member(X2,X3)
| ( ( ? [X7] :
( member(X7,X1)
& apply(X5,X0,X7)
& apply(X6,X7,X2) )
| ~ apply(compose_function(X6,X5,X4,X1,X3),X0,X2) )
& ( apply(compose_function(X6,X5,X4,X1,X3),X0,X2)
| ! [X7] :
( ~ member(X7,X1)
| ~ apply(X5,X0,X7)
| ~ apply(X6,X7,X2) ) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X6,X1,X2,X3,X5,X0,X4] :
( ~ member(X0,X4)
| ~ member(X2,X3)
| ( ? [X7] :
( member(X7,X1)
& apply(X5,X0,X7)
& apply(X6,X7,X2) )
<=> apply(compose_function(X6,X5,X4,X1,X3),X0,X2) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X3,X1,X6,X5,X4,X2,X0] :
( ( ? [X7] :
( member(X7,X1)
& apply(X5,X0,X7)
& apply(X6,X7,X2) )
<=> apply(compose_function(X6,X5,X4,X1,X3),X0,X2) )
| ~ member(X2,X3)
| ~ member(X0,X4) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X3,X1,X6,X5,X4,X2,X0] :
( ( member(X2,X3)
& member(X0,X4) )
=> ( ? [X7] :
( member(X7,X1)
& apply(X5,X0,X7)
& apply(X6,X7,X2) )
<=> apply(compose_function(X6,X5,X4,X1,X3),X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1,X11,X10,X0,X5,X9] :
( ( member(X2,X0)
& member(X11,X10) )
=> ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
<=> ? [X4] :
( member(X4,X1)
& apply(X9,X4,X11)
& apply(X5,X2,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f104,plain,
! [X0] :
( apply(compose_function(sK3,sK6,sK4,sK5,sK4),X0,X0)
| ~ member(X0,sK4) ),
inference(resolution,[],[f79,f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ identity(X1,X0)
| apply(X1,X2,X2)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ identity(X1,X0)
| ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( identity(X1,X0)
=> ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( identity(X1,X0)
<=> ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X5] :
( ! [X2] :
( member(X2,X0)
=> apply(X5,X2,X2) )
<=> identity(X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f79,plain,
identity(compose_function(sK3,sK6,sK4,sK5,sK4),sK4),
inference(cnf_transformation,[],[f62]) ).
fof(f138,plain,
! [X2,X3] :
( ~ member(sK0(sK3,sK5,X2,sK6,X2),sK5)
| ~ apply(sK6,X2,X3)
| sK0(sK3,sK5,X2,sK6,X2) = X3
| ~ member(X2,sK4)
| ~ member(X3,sK5) ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
! [X2,X3] :
( ~ member(sK0(sK3,sK5,X2,sK6,X2),sK5)
| sK0(sK3,sK5,X2,sK6,X2) = X3
| ~ apply(sK6,X2,X3)
| ~ member(X2,sK4)
| ~ member(X3,sK5)
| ~ member(X2,sK4) ),
inference(resolution,[],[f93,f115]) ).
fof(f115,plain,
! [X0] :
( apply(sK6,X0,sK0(sK3,sK5,X0,sK6,X0))
| ~ member(X0,sK4) ),
inference(duplicate_literal_removal,[],[f111]) ).
fof(f111,plain,
! [X0] :
( apply(sK6,X0,sK0(sK3,sK5,X0,sK6,X0))
| ~ member(X0,sK4)
| ~ member(X0,sK4)
| ~ member(X0,sK4) ),
inference(resolution,[],[f104,f68]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X4,X6,X1,X3),X5,X2)
| ~ member(X2,X3)
| apply(X4,X5,sK0(X0,X1,X2,X4,X5))
| ~ member(X5,X6) ),
inference(cnf_transformation,[],[f54]) ).
fof(f93,plain,
! [X2,X3,X4] :
( ~ apply(sK6,X2,X3)
| ~ member(X3,sK5)
| ~ apply(sK6,X2,X4)
| ~ member(X4,sK5)
| ~ member(X2,sK4)
| X3 = X4 ),
inference(resolution,[],[f76,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X4,X1)
| ~ apply(X0,X4,X3)
| ~ apply(X0,X4,X5)
| X3 = X5
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( ~ member(X3,X2)
| ~ member(X5,X2)
| X3 = X5
| ~ member(X4,X1)
| ~ apply(X0,X4,X3)
| ~ apply(X0,X4,X5) )
& ! [X6] :
( ( apply(X0,X6,sK1(X0,X2,X6))
& member(sK1(X0,X2,X6),X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f55,f56]) ).
fof(f56,plain,
! [X0,X2,X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
=> ( apply(X0,X6,sK1(X0,X2,X6))
& member(sK1(X0,X2,X6),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( ~ member(X3,X2)
| ~ member(X5,X2)
| X3 = X5
| ~ member(X4,X1)
| ~ apply(X0,X4,X3)
| ~ apply(X0,X4,X5) )
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0,X2] :
( ( ! [X4,X3,X5] :
( ~ member(X4,X2)
| ~ member(X5,X2)
| X4 = X5
| ~ member(X3,X0)
| ~ apply(X1,X3,X4)
| ~ apply(X1,X3,X5) )
& ! [X6] :
( ? [X7] :
( apply(X1,X6,X7)
& member(X7,X2) )
| ~ member(X6,X0) ) )
| ~ maps(X1,X0,X2) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X1,X0,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X1,X3,X4)
| ~ apply(X1,X3,X5)
| ~ member(X3,X0)
| ~ member(X4,X2)
| ~ member(X5,X2) )
& ! [X6] :
( ? [X7] :
( apply(X1,X6,X7)
& member(X7,X2) )
| ~ member(X6,X0) ) )
| ~ maps(X1,X0,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( maps(X1,X0,X2)
=> ( ! [X3,X4,X5] :
( ( member(X3,X0)
& member(X4,X2)
& member(X5,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X3,X5) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X0)
=> ? [X7] :
( apply(X1,X6,X7)
& member(X7,X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( ( ! [X3,X4,X5] :
( ( member(X3,X0)
& member(X4,X2)
& member(X5,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X3,X5) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X0)
=> ? [X7] :
( apply(X1,X6,X7)
& member(X7,X2) ) ) )
<=> maps(X1,X0,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X5,X1] :
( maps(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] :
( apply(X5,X2,X4)
& member(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f76,plain,
maps(sK6,sK4,sK5),
inference(cnf_transformation,[],[f62]) ).
fof(f145,plain,
sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK1(sK3,sK4,sK0(sK3,sK5,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK6,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4))),
inference(resolution,[],[f132,f99]) ).
fof(f132,plain,
! [X2] :
( ~ member(X2,sK4)
| sK1(sK3,sK4,sK0(sK3,sK5,X2,sK6,X2)) = X2 ),
inference(subsumption_resolution,[],[f130,f114]) ).
fof(f130,plain,
! [X2] :
( ~ member(sK0(sK3,sK5,X2,sK6,X2),sK5)
| sK1(sK3,sK4,sK0(sK3,sK5,X2,sK6,X2)) = X2
| ~ member(X2,sK4) ),
inference(duplicate_literal_removal,[],[f128]) ).
fof(f128,plain,
! [X2] :
( ~ member(X2,sK4)
| ~ member(X2,sK4)
| sK1(sK3,sK4,sK0(sK3,sK5,X2,sK6,X2)) = X2
| ~ member(sK0(sK3,sK5,X2,sK6,X2),sK5) ),
inference(resolution,[],[f122,f116]) ).
fof(f116,plain,
! [X1] :
( apply(sK3,sK0(sK3,sK5,X1,sK6,X1),X1)
| ~ member(X1,sK4) ),
inference(duplicate_literal_removal,[],[f112]) ).
fof(f112,plain,
! [X1] :
( apply(sK3,sK0(sK3,sK5,X1,sK6,X1),X1)
| ~ member(X1,sK4)
| ~ member(X1,sK4)
| ~ member(X1,sK4) ),
inference(resolution,[],[f104,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X4,X6,X1,X3),X5,X2)
| ~ member(X5,X6)
| apply(X0,sK0(X0,X1,X2,X4,X5),X2)
| ~ member(X2,X3) ),
inference(cnf_transformation,[],[f54]) ).
fof(f122,plain,
! [X0,X1] :
( ~ apply(sK3,X0,X1)
| ~ member(X0,sK5)
| sK1(sK3,sK4,X0) = X1
| ~ member(X1,sK4) ),
inference(subsumption_resolution,[],[f119,f88]) ).
fof(f88,plain,
! [X0] :
( member(sK1(sK3,sK4,X0),sK4)
| ~ member(X0,sK5) ),
inference(resolution,[],[f75,f70]) ).
fof(f70,plain,
! [X2,X0,X1,X6] :
( ~ maps(X0,X1,X2)
| member(sK1(X0,X2,X6),X2)
| ~ member(X6,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f75,plain,
maps(sK3,sK5,sK4),
inference(cnf_transformation,[],[f62]) ).
fof(f119,plain,
! [X0,X1] :
( sK1(sK3,sK4,X0) = X1
| ~ member(X0,sK5)
| ~ member(X1,sK4)
| ~ apply(sK3,X0,X1)
| ~ member(sK1(sK3,sK4,X0),sK4) ),
inference(duplicate_literal_removal,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ member(sK1(sK3,sK4,X0),sK4)
| sK1(sK3,sK4,X0) = X1
| ~ member(X0,sK5)
| ~ member(X1,sK4)
| ~ member(X0,sK5)
| ~ apply(sK3,X0,X1) ),
inference(resolution,[],[f90,f89]) ).
fof(f89,plain,
! [X1] :
( apply(sK3,X1,sK1(sK3,sK4,X1))
| ~ member(X1,sK5) ),
inference(resolution,[],[f75,f71]) ).
fof(f71,plain,
! [X2,X0,X1,X6] :
( ~ maps(X0,X1,X2)
| ~ member(X6,X1)
| apply(X0,X6,sK1(X0,X2,X6)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f90,plain,
! [X2,X3,X4] :
( ~ apply(sK3,X2,X4)
| ~ member(X4,sK4)
| X3 = X4
| ~ member(X3,sK4)
| ~ apply(sK3,X2,X3)
| ~ member(X2,sK5) ),
inference(resolution,[],[f75,f72]) ).
fof(f155,plain,
sK1(sK3,sK4,sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)) = sK0(sK2,sK4,sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK3,sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(resolution,[],[f133,f101]) ).
fof(f133,plain,
! [X1] :
( ~ member(X1,sK5)
| sK0(sK2,sK4,X1,sK3,X1) = sK1(sK3,sK4,X1) ),
inference(subsumption_resolution,[],[f129,f108]) ).
fof(f108,plain,
! [X2] :
( member(sK0(sK2,sK4,X2,sK3,X2),sK4)
| ~ member(X2,sK5) ),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f107,plain,
! [X2] :
( member(sK0(sK2,sK4,X2,sK3,X2),sK4)
| ~ member(X2,sK5)
| ~ member(X2,sK5)
| ~ member(X2,sK5) ),
inference(resolution,[],[f97,f69]) ).
fof(f97,plain,
! [X0] :
( apply(compose_function(sK2,sK3,sK5,sK4,sK5),X0,X0)
| ~ member(X0,sK5) ),
inference(resolution,[],[f77,f81]) ).
fof(f77,plain,
identity(compose_function(sK2,sK3,sK5,sK4,sK5),sK5),
inference(cnf_transformation,[],[f62]) ).
fof(f129,plain,
! [X1] :
( ~ member(X1,sK5)
| sK0(sK2,sK4,X1,sK3,X1) = sK1(sK3,sK4,X1)
| ~ member(sK0(sK2,sK4,X1,sK3,X1),sK4) ),
inference(duplicate_literal_removal,[],[f127]) ).
fof(f127,plain,
! [X1] :
( sK0(sK2,sK4,X1,sK3,X1) = sK1(sK3,sK4,X1)
| ~ member(sK0(sK2,sK4,X1,sK3,X1),sK4)
| ~ member(X1,sK5)
| ~ member(X1,sK5) ),
inference(resolution,[],[f122,f109]) ).
fof(f109,plain,
! [X0] :
( apply(sK3,X0,sK0(sK2,sK4,X0,sK3,X0))
| ~ member(X0,sK5) ),
inference(duplicate_literal_removal,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ~ member(X0,sK5)
| ~ member(X0,sK5)
| apply(sK3,X0,sK0(sK2,sK4,X0,sK3,X0))
| ~ member(X0,sK5) ),
inference(resolution,[],[f97,f68]) ).
fof(f179,plain,
sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK1(sK2,sK5,sK0(sK2,sK4,sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK3,sK7(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4))),
inference(resolution,[],[f172,f101]) ).
fof(f172,plain,
! [X1] :
( ~ member(X1,sK5)
| sK1(sK2,sK5,sK0(sK2,sK4,X1,sK3,X1)) = X1 ),
inference(subsumption_resolution,[],[f170,f108]) ).
fof(f170,plain,
! [X1] :
( ~ member(sK0(sK2,sK4,X1,sK3,X1),sK4)
| ~ member(X1,sK5)
| sK1(sK2,sK5,sK0(sK2,sK4,X1,sK3,X1)) = X1 ),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f169,plain,
! [X1] :
( sK1(sK2,sK5,sK0(sK2,sK4,X1,sK3,X1)) = X1
| ~ member(X1,sK5)
| ~ member(sK0(sK2,sK4,X1,sK3,X1),sK4)
| ~ member(X1,sK5) ),
inference(resolution,[],[f151,f110]) ).
fof(f110,plain,
! [X1] :
( apply(sK2,sK0(sK2,sK4,X1,sK3,X1),X1)
| ~ member(X1,sK5) ),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f106,plain,
! [X1] :
( apply(sK2,sK0(sK2,sK4,X1,sK3,X1),X1)
| ~ member(X1,sK5)
| ~ member(X1,sK5)
| ~ member(X1,sK5) ),
inference(resolution,[],[f97,f67]) ).
fof(f151,plain,
! [X0,X1] :
( ~ apply(sK2,X0,X1)
| ~ member(X0,sK4)
| sK1(sK2,sK5,X0) = X1
| ~ member(X1,sK5) ),
inference(subsumption_resolution,[],[f148,f94]) ).
fof(f94,plain,
! [X0] :
( member(sK1(sK2,sK5,X0),sK5)
| ~ member(X0,sK4) ),
inference(resolution,[],[f80,f70]) ).
fof(f80,plain,
maps(sK2,sK4,sK5),
inference(cnf_transformation,[],[f62]) ).
fof(f148,plain,
! [X0,X1] :
( ~ member(sK1(sK2,sK5,X0),sK5)
| ~ apply(sK2,X0,X1)
| ~ member(X1,sK5)
| ~ member(X0,sK4)
| sK1(sK2,sK5,X0) = X1 ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ~ member(X0,sK4)
| ~ member(X0,sK4)
| ~ member(sK1(sK2,sK5,X0),sK5)
| ~ member(X1,sK5)
| ~ apply(sK2,X0,X1)
| sK1(sK2,sK5,X0) = X1 ),
inference(resolution,[],[f96,f95]) ).
fof(f95,plain,
! [X1] :
( apply(sK2,X1,sK1(sK2,sK5,X1))
| ~ member(X1,sK4) ),
inference(resolution,[],[f80,f71]) ).
fof(f96,plain,
! [X2,X3,X4] :
( ~ apply(sK2,X2,X4)
| ~ apply(sK2,X2,X3)
| X3 = X4
| ~ member(X2,sK4)
| ~ member(X4,sK5)
| ~ member(X3,sK5) ),
inference(resolution,[],[f80,f72]) ).
fof(f314,plain,
sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK1(sK2,sK5,sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(forward_demodulation,[],[f180,f201]) ).
fof(f201,plain,
sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK0(sK2,sK4,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK3,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(subsumption_resolution,[],[f200,f99]) ).
fof(f200,plain,
( sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK0(sK2,sK4,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK3,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4))
| ~ member(sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK4) ),
inference(subsumption_resolution,[],[f195,f103]) ).
fof(f103,plain,
member(sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK5),
inference(resolution,[],[f78,f86]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| member(sK8(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f195,plain,
( ~ member(sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK5)
| sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK0(sK2,sK4,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK3,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4))
| ~ member(sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK4) ),
inference(resolution,[],[f121,f167]) ).
fof(f167,plain,
apply(sK3,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(subsumption_resolution,[],[f166,f103]) ).
fof(f166,plain,
( apply(sK3,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4))
| ~ member(sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK5) ),
inference(subsumption_resolution,[],[f165,f99]) ).
fof(f165,plain,
( apply(sK3,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4))
| ~ member(sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK4)
| ~ member(sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK5) ),
inference(resolution,[],[f98,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(inverse_function(X3,X1,X4),X0,X2)
| ~ member(X0,X4)
| apply(X3,X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4] :
( ~ member(X2,X1)
| ( ( apply(X3,X2,X0)
| ~ apply(inverse_function(X3,X1,X4),X0,X2) )
& ( apply(inverse_function(X3,X1,X4),X0,X2)
| ~ apply(X3,X2,X0) ) )
| ~ member(X0,X4) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X4,X0,X1,X2,X3] :
( ~ member(X1,X0)
| ( ( apply(X2,X1,X4)
| ~ apply(inverse_function(X2,X0,X3),X4,X1) )
& ( apply(inverse_function(X2,X0,X3),X4,X1)
| ~ apply(X2,X1,X4) ) )
| ~ member(X4,X3) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X4,X0,X1,X2,X3] :
( ~ member(X1,X0)
| ( apply(X2,X1,X4)
<=> apply(inverse_function(X2,X0,X3),X4,X1) )
| ~ member(X4,X3) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X3,X2,X1,X4,X0] :
( ( apply(X2,X1,X4)
<=> apply(inverse_function(X2,X0,X3),X4,X1) )
| ~ member(X4,X3)
| ~ member(X1,X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X3,X2,X1,X4,X0] :
( ( member(X4,X3)
& member(X1,X0) )
=> ( apply(X2,X1,X4)
<=> apply(inverse_function(X2,X0,X3),X4,X1) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X2,X5,X1,X4] :
( ( member(X2,X0)
& member(X4,X1) )
=> ( apply(inverse_function(X5,X0,X1),X4,X2)
<=> apply(X5,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_function) ).
fof(f98,plain,
apply(inverse_function(sK3,sK5,sK4),sK9(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4)),
inference(resolution,[],[f78,f87]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( equal_maps(X2,X0,X3,X1)
| apply(X2,sK9(X0,X1,X2,X3),sK8(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f121,plain,
! [X2,X3] :
( ~ apply(sK3,X2,X3)
| ~ member(X2,sK5)
| ~ member(X3,sK4)
| sK0(sK2,sK4,X2,sK3,X2) = X3 ),
inference(subsumption_resolution,[],[f120,f108]) ).
fof(f120,plain,
! [X2,X3] :
( sK0(sK2,sK4,X2,sK3,X2) = X3
| ~ member(sK0(sK2,sK4,X2,sK3,X2),sK4)
| ~ apply(sK3,X2,X3)
| ~ member(X3,sK4)
| ~ member(X2,sK5) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f118,plain,
! [X2,X3] :
( ~ member(X3,sK4)
| ~ member(sK0(sK2,sK4,X2,sK3,X2),sK4)
| ~ apply(sK3,X2,X3)
| ~ member(X2,sK5)
| sK0(sK2,sK4,X2,sK3,X2) = X3
| ~ member(X2,sK5) ),
inference(resolution,[],[f90,f109]) ).
fof(f180,plain,
sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4) = sK1(sK2,sK5,sK0(sK2,sK4,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4),sK3,sK8(sK6,sK5,inverse_function(sK3,sK5,sK4),sK4))),
inference(resolution,[],[f172,f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET727+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
% 0.13/0.34 % Computer : n023.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 14:36:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (24109)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)
% 0.19/0.49 % (24102)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (24109)Instruction limit reached!
% 0.19/0.52 % (24109)------------------------------
% 0.19/0.52 % (24109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24106)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (24110)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)
% 0.19/0.52 % (24109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24109)Termination reason: Unknown
% 0.19/0.52 % (24109)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (24109)Memory used [KB]: 6652
% 0.19/0.52 % (24109)Time elapsed: 0.113 s
% 0.19/0.52 % (24109)Instructions burned: 40 (million)
% 0.19/0.52 % (24109)------------------------------
% 0.19/0.52 % (24109)------------------------------
% 0.19/0.53 % (24114)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53 % (24105)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (24120)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)
% 0.19/0.53 % (24108)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (24125)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)
% 0.19/0.53 % (24119)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (24122)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54 % (24112)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.54 % (24124)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)
% 0.19/0.54 % (24121)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)
% 0.19/0.54 % (24104)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (24118)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)
% 0.19/0.54 % (24104)Instruction limit reached!
% 0.19/0.54 % (24104)------------------------------
% 0.19/0.54 % (24104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24104)Termination reason: Unknown
% 0.19/0.54 % (24104)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (24104)Memory used [KB]: 1535
% 0.19/0.54 % (24104)Time elapsed: 0.004 s
% 0.19/0.54 % (24104)Instructions burned: 4 (million)
% 0.19/0.54 % (24104)------------------------------
% 0.19/0.54 % (24104)------------------------------
% 0.19/0.54 % (24111)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)
% 0.19/0.54 % (24103)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.54 % (24128)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (24116)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)
% 0.19/0.55 % (24120)Instruction limit reached!
% 0.19/0.55 % (24120)------------------------------
% 0.19/0.55 % (24120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24113)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)
% 0.19/0.55 % (24120)Termination reason: Unknown
% 0.19/0.55 % (24120)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (24120)Memory used [KB]: 1407
% 0.19/0.55 % (24120)Time elapsed: 0.002 s
% 0.19/0.55 % (24120)Instructions burned: 2 (million)
% 0.19/0.55 % (24120)------------------------------
% 0.19/0.55 % (24120)------------------------------
% 0.19/0.55 % (24106)Instruction limit reached!
% 0.19/0.55 % (24106)------------------------------
% 0.19/0.55 % (24106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24106)Termination reason: Unknown
% 0.19/0.55 % (24106)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (24106)Memory used [KB]: 6268
% 0.19/0.55 % (24106)Time elapsed: 0.159 s
% 0.19/0.55 % (24106)Instructions burned: 14 (million)
% 0.19/0.55 % (24106)------------------------------
% 0.19/0.55 % (24106)------------------------------
% 0.19/0.55 % (24116)Instruction limit reached!
% 0.19/0.55 % (24116)------------------------------
% 0.19/0.55 % (24116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24116)Termination reason: Unknown
% 0.19/0.55 % (24116)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (24116)Memory used [KB]: 6012
% 0.19/0.55 % (24116)Time elapsed: 0.003 s
% 0.19/0.55 % (24116)Instructions burned: 4 (million)
% 0.19/0.55 % (24116)------------------------------
% 0.19/0.55 % (24116)------------------------------
% 0.19/0.55 % (24117)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (24129)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.55 % (24127)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.55 % (24117)Instruction limit reached!
% 0.19/0.55 % (24117)------------------------------
% 0.19/0.55 % (24117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24130)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)
% 0.19/0.56 % (24107)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.56 % (24112)Instruction limit reached!
% 0.19/0.56 % (24112)------------------------------
% 0.19/0.56 % (24112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24119)Instruction limit reached!
% 0.19/0.56 % (24119)------------------------------
% 0.19/0.56 % (24119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24119)Termination reason: Unknown
% 0.19/0.56 % (24119)Termination phase: Finite model building preprocessing
% 0.19/0.56
% 0.19/0.56 % (24119)Memory used [KB]: 1535
% 0.19/0.56 % (24119)Time elapsed: 0.004 s
% 0.19/0.56 % (24119)Instructions burned: 4 (million)
% 0.19/0.56 % (24119)------------------------------
% 0.19/0.56 % (24119)------------------------------
% 0.19/0.56 % (24103)Instruction limit reached!
% 0.19/0.56 % (24103)------------------------------
% 0.19/0.56 % (24103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24112)Termination reason: Unknown
% 0.19/0.56 % (24112)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (24112)Memory used [KB]: 6268
% 0.19/0.56 % (24112)Time elapsed: 0.155 s
% 0.19/0.56 % (24112)Instructions burned: 13 (million)
% 0.19/0.56 % (24112)------------------------------
% 0.19/0.56 % (24112)------------------------------
% 0.19/0.56 % (24117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24117)Termination reason: Unknown
% 0.19/0.56 % (24117)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (24117)Memory used [KB]: 6140
% 0.19/0.56 % (24117)Time elapsed: 0.126 s
% 0.19/0.56 % (24117)Instructions burned: 8 (million)
% 0.19/0.56 % (24117)------------------------------
% 0.19/0.56 % (24117)------------------------------
% 0.19/0.56 % (24121)Refutation not found, incomplete strategy% (24121)------------------------------
% 0.19/0.56 % (24121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24121)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (24121)Memory used [KB]: 6012
% 0.19/0.56 % (24121)Time elapsed: 0.165 s
% 0.19/0.56 % (24121)Instructions burned: 3 (million)
% 0.19/0.56 % (24121)------------------------------
% 0.19/0.56 % (24121)------------------------------
% 0.19/0.56 % (24123)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (24113)Instruction limit reached!
% 0.19/0.56 % (24113)------------------------------
% 0.19/0.56 % (24113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24113)Termination reason: Unknown
% 0.19/0.56 % (24113)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (24113)Memory used [KB]: 6140
% 0.19/0.56 % (24113)Time elapsed: 0.159 s
% 0.19/0.56 % (24113)Instructions burned: 8 (million)
% 0.19/0.56 % (24113)------------------------------
% 0.19/0.56 % (24113)------------------------------
% 0.19/0.57 % (24103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (24103)Termination reason: Unknown
% 0.19/0.57 % (24103)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (24103)Memory used [KB]: 6268
% 0.19/0.57 % (24103)Time elapsed: 0.157 s
% 0.19/0.57 % (24103)Instructions burned: 13 (million)
% 0.19/0.57 % (24103)------------------------------
% 0.19/0.57 % (24103)------------------------------
% 0.19/0.57 % (24131)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.57 % (24130)Instruction limit reached!
% 0.19/0.57 % (24130)------------------------------
% 0.19/0.57 % (24130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (24114)Instruction limit reached!
% 0.19/0.57 % (24114)------------------------------
% 0.19/0.57 % (24114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (24130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (24130)Termination reason: Unknown
% 0.19/0.57 % (24114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (24130)Termination phase: Saturation
% 0.19/0.57 % (24114)Termination reason: Unknown
% 0.19/0.57
% 0.19/0.57 % (24130)Memory used [KB]: 6140
% 0.19/0.57 % (24114)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (24130)Time elapsed: 0.164 s
% 0.19/0.57 % (24114)Memory used [KB]: 1918
% 0.19/0.57 % (24130)Instructions burned: 8 (million)
% 0.19/0.57 % (24114)Time elapsed: 0.147 s
% 0.19/0.57 % (24130)------------------------------
% 0.19/0.57 % (24130)------------------------------
% 0.19/0.57 % (24114)Instructions burned: 16 (million)
% 0.19/0.57 % (24114)------------------------------
% 0.19/0.57 % (24114)------------------------------
% 0.19/0.57 % (24126)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)
% 0.19/0.57 % (24122)Instruction limit reached!
% 0.19/0.57 % (24122)------------------------------
% 0.19/0.57 % (24122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (24122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (24122)Termination reason: Unknown
% 0.19/0.57 % (24122)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (24122)Memory used [KB]: 6524
% 0.19/0.57 % (24122)Time elapsed: 0.149 s
% 0.19/0.57 % (24122)Instructions burned: 31 (million)
% 0.19/0.57 % (24122)------------------------------
% 0.19/0.57 % (24122)------------------------------
% 0.19/0.58 % (24107)First to succeed.
% 0.19/0.58 % (24115)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)
% 1.88/0.59 % (24111)Instruction limit reached!
% 1.88/0.59 % (24111)------------------------------
% 1.88/0.59 % (24111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.59 % (24111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.59 % (24111)Termination reason: Unknown
% 1.88/0.59 % (24111)Termination phase: Saturation
% 1.88/0.59
% 1.88/0.59 % (24111)Memory used [KB]: 6524
% 1.88/0.59 % (24111)Time elapsed: 0.185 s
% 1.88/0.59 % (24111)Instructions burned: 34 (million)
% 1.88/0.59 % (24111)------------------------------
% 1.88/0.59 % (24111)------------------------------
% 1.88/0.59 % (24107)Refutation found. Thanks to Tanya!
% 1.88/0.59 % SZS status Theorem for theBenchmark
% 1.88/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.88/0.59 % (24107)------------------------------
% 1.88/0.59 % (24107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.59 % (24107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.59 % (24107)Termination reason: Refutation
% 1.88/0.59
% 1.88/0.59 % (24107)Memory used [KB]: 1663
% 1.88/0.59 % (24107)Time elapsed: 0.172 s
% 1.88/0.59 % (24107)Instructions burned: 14 (million)
% 1.88/0.59 % (24107)------------------------------
% 1.88/0.59 % (24107)------------------------------
% 1.88/0.59 % (24101)Success in time 0.239 s
%------------------------------------------------------------------------------