TSTP Solution File: SEU027+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.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 18:31:46 EDT 2022
% Result : Theorem 2.77s 0.79s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 18
% Syntax : Number of formulae : 114 ( 31 unt; 0 def)
% Number of atoms : 643 ( 242 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 862 ( 333 ~; 323 |; 165 &)
% ( 15 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 192 ( 157 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2075,plain,
$false,
inference(subsumption_resolution,[],[f2074,f221]) ).
fof(f221,plain,
sF20 = relation_dom(sK18),
introduced(function_definition,[]) ).
fof(f2074,plain,
sF20 != relation_dom(sK18),
inference(forward_demodulation,[],[f2073,f320]) ).
fof(f320,plain,
sF20 = relation_dom(sF22),
inference(forward_demodulation,[],[f319,f225]) ).
fof(f225,plain,
sF22 = function_inverse(sK17),
introduced(function_definition,[]) ).
fof(f319,plain,
sF20 = relation_dom(function_inverse(sK17)),
inference(forward_demodulation,[],[f318,f234]) ).
fof(f234,plain,
sF20 = relation_rng(sK17),
inference(forward_demodulation,[],[f229,f230]) ).
fof(f230,plain,
sF20 = sF24,
inference(definition_folding,[],[f192,f221,f229]) ).
fof(f192,plain,
relation_rng(sK17) = relation_dom(sK18),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( relation(sK17)
& relation(sK18)
& ! [X2,X3] :
( ( ( apply(sK17,X2) = X3
| apply(sK18,X3) != X2 )
& ( apply(sK18,X3) = X2
| apply(sK17,X2) != X3 ) )
| ~ in(X3,relation_dom(sK18))
| ~ in(X2,relation_dom(sK17)) )
& one_to_one(sK17)
& sK18 != function_inverse(sK17)
& function(sK18)
& relation_rng(sK18) = relation_dom(sK17)
& relation_rng(sK17) = relation_dom(sK18)
& function(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f120,f122,f121]) ).
fof(f121,plain,
( ? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& ! [X2,X3] :
( ( ( apply(X0,X2) = X3
| apply(X1,X3) != X2 )
& ( apply(X1,X3) = X2
| apply(X0,X2) != X3 ) )
| ~ in(X3,relation_dom(X1))
| ~ in(X2,relation_dom(X0)) )
& one_to_one(X0)
& function_inverse(X0) != X1
& function(X1)
& relation_dom(X0) = relation_rng(X1)
& relation_rng(X0) = relation_dom(X1) )
& function(X0) )
=> ( relation(sK17)
& ? [X1] :
( relation(X1)
& ! [X3,X2] :
( ( ( apply(sK17,X2) = X3
| apply(X1,X3) != X2 )
& ( apply(X1,X3) = X2
| apply(sK17,X2) != X3 ) )
| ~ in(X3,relation_dom(X1))
| ~ in(X2,relation_dom(sK17)) )
& one_to_one(sK17)
& function_inverse(sK17) != X1
& function(X1)
& relation_rng(X1) = relation_dom(sK17)
& relation_dom(X1) = relation_rng(sK17) )
& function(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
( ? [X1] :
( relation(X1)
& ! [X3,X2] :
( ( ( apply(sK17,X2) = X3
| apply(X1,X3) != X2 )
& ( apply(X1,X3) = X2
| apply(sK17,X2) != X3 ) )
| ~ in(X3,relation_dom(X1))
| ~ in(X2,relation_dom(sK17)) )
& one_to_one(sK17)
& function_inverse(sK17) != X1
& function(X1)
& relation_rng(X1) = relation_dom(sK17)
& relation_dom(X1) = relation_rng(sK17) )
=> ( relation(sK18)
& ! [X3,X2] :
( ( ( apply(sK17,X2) = X3
| apply(sK18,X3) != X2 )
& ( apply(sK18,X3) = X2
| apply(sK17,X2) != X3 ) )
| ~ in(X3,relation_dom(sK18))
| ~ in(X2,relation_dom(sK17)) )
& one_to_one(sK17)
& sK18 != function_inverse(sK17)
& function(sK18)
& relation_rng(sK18) = relation_dom(sK17)
& relation_rng(sK17) = relation_dom(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& ! [X2,X3] :
( ( ( apply(X0,X2) = X3
| apply(X1,X3) != X2 )
& ( apply(X1,X3) = X2
| apply(X0,X2) != X3 ) )
| ~ in(X3,relation_dom(X1))
| ~ in(X2,relation_dom(X0)) )
& one_to_one(X0)
& function_inverse(X0) != X1
& function(X1)
& relation_dom(X0) = relation_rng(X1)
& relation_rng(X0) = relation_dom(X1) )
& function(X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& ! [X2,X3] :
( ( apply(X0,X2) = X3
<=> apply(X1,X3) = X2 )
| ~ in(X3,relation_dom(X1))
| ~ in(X2,relation_dom(X0)) )
& one_to_one(X0)
& function_inverse(X0) != X1
& function(X1)
& relation_dom(X0) = relation_rng(X1)
& relation_rng(X0) = relation_dom(X1) )
& function(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( function_inverse(X0) != X1
& relation_dom(X0) = relation_rng(X1)
& one_to_one(X0)
& ! [X3,X2] :
( ( apply(X0,X2) = X3
<=> apply(X1,X3) = X2 )
| ~ in(X2,relation_dom(X0))
| ~ in(X3,relation_dom(X1)) )
& relation_rng(X0) = relation_dom(X1)
& relation(X1)
& function(X1) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( relation_dom(X0) = relation_rng(X1)
& one_to_one(X0)
& ! [X3,X2] :
( ( in(X2,relation_dom(X0))
& in(X3,relation_dom(X1)) )
=> ( apply(X0,X2) = X3
<=> apply(X1,X3) = X2 ) )
& relation_rng(X0) = relation_dom(X1) )
=> function_inverse(X0) = X1 ) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( relation_dom(X0) = relation_rng(X1)
& one_to_one(X0)
& ! [X3,X2] :
( ( in(X2,relation_dom(X0))
& in(X3,relation_dom(X1)) )
=> ( apply(X0,X2) = X3
<=> apply(X1,X3) = X2 ) )
& relation_rng(X0) = relation_dom(X1) )
=> function_inverse(X0) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
fof(f229,plain,
relation_rng(sK17) = sF24,
introduced(function_definition,[]) ).
fof(f318,plain,
relation_dom(function_inverse(sK17)) = relation_rng(sK17),
inference(subsumption_resolution,[],[f317,f191]) ).
fof(f191,plain,
function(sK17),
inference(cnf_transformation,[],[f123]) ).
fof(f317,plain,
( relation_dom(function_inverse(sK17)) = relation_rng(sK17)
| ~ function(sK17) ),
inference(subsumption_resolution,[],[f313,f200]) ).
fof(f200,plain,
relation(sK17),
inference(cnf_transformation,[],[f123]) ).
fof(f313,plain,
( relation_dom(function_inverse(sK17)) = relation_rng(sK17)
| ~ relation(sK17)
| ~ function(sK17) ),
inference(resolution,[],[f238,f196]) ).
fof(f196,plain,
one_to_one(sK17),
inference(cnf_transformation,[],[f123]) ).
fof(f238,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ function(X0) ),
inference(subsumption_resolution,[],[f237,f189]) ).
fof(f189,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f237,plain,
! [X0] :
( ~ function(X0)
| ~ relation(function_inverse(X0))
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0)) ),
inference(subsumption_resolution,[],[f214,f188]) ).
fof(f188,plain,
! [X0] :
( function(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f214,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ function(function_inverse(X0))
| ~ function(X0)
| ~ relation(function_inverse(X0))
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ~ one_to_one(X0)
| ~ relation(X1)
| ~ function(X1)
| relation_rng(X0) = relation_dom(X1)
| function_inverse(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( function_inverse(X0) = X1
| ( ( ~ in(sK7(X0,X1),relation_rng(X0))
| sK6(X0,X1) != apply(X1,sK7(X0,X1)) )
& sK7(X0,X1) = apply(X0,sK6(X0,X1))
& in(sK6(X0,X1),relation_dom(X0)) )
| ~ sP0(X0,sK7(X0,X1),sK6(X0,X1),X1)
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( in(X5,relation_rng(X0))
& apply(X1,X5) = X4 )
| apply(X0,X4) != X5
| ~ in(X4,relation_dom(X0)) )
& sP0(X0,X5,X4,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f95,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ( ~ in(X3,relation_rng(X0))
| apply(X1,X3) != X2 )
& apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ sP0(X0,X3,X2,X1) )
=> ( ( ( ~ in(sK7(X0,X1),relation_rng(X0))
| sK6(X0,X1) != apply(X1,sK7(X0,X1)) )
& sK7(X0,X1) = apply(X0,sK6(X0,X1))
& in(sK6(X0,X1),relation_dom(X0)) )
| ~ sP0(X0,sK7(X0,X1),sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( ~ in(X3,relation_rng(X0))
| apply(X1,X3) != X2 )
& apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ sP0(X0,X3,X2,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( in(X5,relation_rng(X0))
& apply(X1,X5) = X4 )
| apply(X0,X4) != X5
| ~ in(X4,relation_dom(X0)) )
& sP0(X0,X5,X4,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( function_inverse(X0) = X1
| ? [X3,X2] :
( ( ( ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X0,X2,X3,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X3,X2] :
( ( ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( function_inverse(X0) = X1
| ? [X3,X2] :
( ( ( ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3 )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X0,X2,X3,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X3,X2] :
( ( ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( function_inverse(X0) = X1
<=> ( ! [X3,X2] :
( ( ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f49,f78]) ).
fof(f78,plain,
! [X0,X2,X3,X1] :
( sP0(X0,X2,X3,X1)
<=> ( ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3
| ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f49,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( function_inverse(X0) = X1
<=> ( ! [X3,X2] :
( ( ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ~ in(X2,relation_rng(X0))
| apply(X1,X2) != X3
| ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
& relation_rng(X0) = relation_dom(X1) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X3,X2] :
( ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& ( ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 )
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( function_inverse(X0) = X1
<=> ( ! [X3,X2] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
=> ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
& ( ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
=> ( in(X2,relation_rng(X0))
& apply(X1,X2) = X3 ) ) )
& relation_rng(X0) = relation_dom(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f2073,plain,
relation_dom(sK18) != relation_dom(sF22),
inference(subsumption_resolution,[],[f2072,f288]) ).
fof(f288,plain,
function(sF22),
inference(subsumption_resolution,[],[f287,f191]) ).
fof(f287,plain,
( function(sF22)
| ~ function(sK17) ),
inference(subsumption_resolution,[],[f286,f200]) ).
fof(f286,plain,
( function(sF22)
| ~ relation(sK17)
| ~ function(sK17) ),
inference(superposition,[],[f188,f225]) ).
fof(f2072,plain,
( relation_dom(sK18) != relation_dom(sF22)
| ~ function(sF22) ),
inference(subsumption_resolution,[],[f2071,f199]) ).
fof(f199,plain,
relation(sK18),
inference(cnf_transformation,[],[f123]) ).
fof(f2071,plain,
( ~ relation(sK18)
| relation_dom(sK18) != relation_dom(sF22)
| ~ function(sF22) ),
inference(subsumption_resolution,[],[f2070,f194]) ).
fof(f194,plain,
function(sK18),
inference(cnf_transformation,[],[f123]) ).
fof(f2070,plain,
( ~ function(sK18)
| relation_dom(sK18) != relation_dom(sF22)
| ~ function(sF22)
| ~ relation(sK18) ),
inference(subsumption_resolution,[],[f2069,f226]) ).
fof(f226,plain,
sK18 != sF22,
inference(definition_folding,[],[f195,f225]) ).
fof(f195,plain,
sK18 != function_inverse(sK17),
inference(cnf_transformation,[],[f123]) ).
fof(f2069,plain,
( sK18 = sF22
| relation_dom(sK18) != relation_dom(sF22)
| ~ function(sF22)
| ~ function(sK18)
| ~ relation(sK18) ),
inference(subsumption_resolution,[],[f2066,f291]) ).
fof(f291,plain,
relation(sF22),
inference(subsumption_resolution,[],[f290,f200]) ).
fof(f290,plain,
( relation(sF22)
| ~ relation(sK17) ),
inference(subsumption_resolution,[],[f289,f191]) ).
fof(f289,plain,
( ~ function(sK17)
| ~ relation(sK17)
| relation(sF22) ),
inference(superposition,[],[f189,f225]) ).
fof(f2066,plain,
( ~ relation(sF22)
| relation_dom(sK18) != relation_dom(sF22)
| sK18 = sF22
| ~ function(sK18)
| ~ function(sF22)
| ~ relation(sK18) ),
inference(trivial_inequality_removal,[],[f2061]) ).
fof(f2061,plain,
( ~ relation(sK18)
| apply(sK18,sK3(sK18,sF22)) != apply(sK18,sK3(sK18,sF22))
| ~ function(sK18)
| sK18 = sF22
| relation_dom(sK18) != relation_dom(sF22)
| ~ function(sF22)
| ~ relation(sF22) ),
inference(superposition,[],[f132,f875]) ).
fof(f875,plain,
apply(sF22,sK3(sK18,sF22)) = apply(sK18,sK3(sK18,sF22)),
inference(forward_demodulation,[],[f865,f873]) ).
fof(f873,plain,
apply(sK17,apply(sK18,sK3(sK18,sF22))) = sK3(sK18,sF22),
inference(subsumption_resolution,[],[f864,f572]) ).
fof(f572,plain,
in(sK3(sK18,sF22),sF20),
inference(subsumption_resolution,[],[f571,f288]) ).
fof(f571,plain,
( ~ function(sF22)
| in(sK3(sK18,sF22),sF20) ),
inference(subsumption_resolution,[],[f570,f226]) ).
fof(f570,plain,
( sK18 = sF22
| ~ function(sF22)
| in(sK3(sK18,sF22),sF20) ),
inference(subsumption_resolution,[],[f567,f291]) ).
fof(f567,plain,
( in(sK3(sK18,sF22),sF20)
| ~ relation(sF22)
| ~ function(sF22)
| sK18 = sF22 ),
inference(trivial_inequality_removal,[],[f566]) ).
fof(f566,plain,
( ~ function(sF22)
| ~ relation(sF22)
| sK18 = sF22
| in(sK3(sK18,sF22),sF20)
| sF20 != sF20 ),
inference(superposition,[],[f416,f320]) ).
fof(f416,plain,
! [X0] :
( relation_dom(X0) != sF20
| ~ relation(X0)
| sK18 = X0
| ~ function(X0)
| in(sK3(sK18,X0),sF20) ),
inference(subsumption_resolution,[],[f415,f199]) ).
fof(f415,plain,
! [X0] :
( in(sK3(sK18,X0),sF20)
| ~ relation(X0)
| ~ function(X0)
| sK18 = X0
| relation_dom(X0) != sF20
| ~ relation(sK18) ),
inference(subsumption_resolution,[],[f399,f194]) ).
fof(f399,plain,
! [X0] :
( ~ relation(X0)
| relation_dom(X0) != sF20
| sK18 = X0
| ~ function(sK18)
| ~ function(X0)
| in(sK3(sK18,X0),sF20)
| ~ relation(sK18) ),
inference(superposition,[],[f131,f221]) ).
fof(f131,plain,
! [X0,X1] :
( relation_dom(X0) != relation_dom(X1)
| ~ relation(X0)
| X0 = X1
| ~ function(X1)
| in(sK3(X0,X1),relation_dom(X0))
| ~ function(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( apply(X1,sK3(X0,X1)) != apply(X0,sK3(X0,X1))
& in(sK3(X0,X1),relation_dom(X0)) )
| ~ relation(X1)
| ~ function(X1)
| X0 = X1
| relation_dom(X0) != relation_dom(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f60,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ? [X2] :
( apply(X1,X2) != apply(X0,X2)
& in(X2,relation_dom(X0)) )
=> ( apply(X1,sK3(X0,X1)) != apply(X0,sK3(X0,X1))
& in(sK3(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( apply(X1,X2) != apply(X0,X2)
& in(X2,relation_dom(X0)) )
| ~ relation(X1)
| ~ function(X1)
| X0 = X1
| relation_dom(X0) != relation_dom(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( apply(X1,X2) != apply(X0,X2)
& in(X2,relation_dom(X0)) )
| relation_dom(X0) != relation_dom(X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( ! [X2] :
( in(X2,relation_dom(X0))
=> apply(X1,X2) = apply(X0,X2) )
& relation_dom(X0) = relation_dom(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
fof(f864,plain,
( ~ in(sK3(sK18,sF22),sF20)
| apply(sK17,apply(sK18,sK3(sK18,sF22))) = sK3(sK18,sF22) ),
inference(resolution,[],[f593,f223]) ).
fof(f223,plain,
! [X3] :
( ~ in(apply(sK18,X3),sF21)
| apply(sK17,apply(sK18,X3)) = X3
| ~ in(X3,sF20) ),
inference(definition_folding,[],[f219,f222,f221]) ).
fof(f222,plain,
sF21 = relation_dom(sK17),
introduced(function_definition,[]) ).
fof(f219,plain,
! [X3] :
( apply(sK17,apply(sK18,X3)) = X3
| ~ in(X3,relation_dom(sK18))
| ~ in(apply(sK18,X3),relation_dom(sK17)) ),
inference(equality_resolution,[],[f198]) ).
fof(f198,plain,
! [X2,X3] :
( apply(sK17,X2) = X3
| apply(sK18,X3) != X2
| ~ in(X3,relation_dom(sK18))
| ~ in(X2,relation_dom(sK17)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f593,plain,
in(apply(sK18,sK3(sK18,sF22)),sF21),
inference(resolution,[],[f572,f332]) ).
fof(f332,plain,
! [X0] :
( ~ in(X0,sF20)
| in(apply(sK18,X0),sF21) ),
inference(forward_demodulation,[],[f331,f241]) ).
fof(f241,plain,
relation_rng(sK18) = sF21,
inference(forward_demodulation,[],[f227,f228]) ).
fof(f228,plain,
sF21 = sF23,
inference(definition_folding,[],[f193,f222,f227]) ).
fof(f193,plain,
relation_rng(sK18) = relation_dom(sK17),
inference(cnf_transformation,[],[f123]) ).
fof(f227,plain,
relation_rng(sK18) = sF23,
introduced(function_definition,[]) ).
fof(f331,plain,
! [X0] :
( ~ in(X0,sF20)
| in(apply(sK18,X0),relation_rng(sK18)) ),
inference(subsumption_resolution,[],[f330,f194]) ).
fof(f330,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ function(sK18)
| in(apply(sK18,X0),relation_rng(sK18)) ),
inference(subsumption_resolution,[],[f325,f199]) ).
fof(f325,plain,
! [X0] :
( ~ relation(sK18)
| ~ in(X0,sF20)
| in(apply(sK18,X0),relation_rng(sK18))
| ~ function(sK18) ),
inference(superposition,[],[f216,f221]) ).
fof(f216,plain,
! [X3,X0] :
( ~ in(X3,relation_dom(X0))
| in(apply(X0,X3),relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X3,X0,X1] :
( in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( in(X2,X1)
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ( apply(X0,sK13(X0,X2)) = X2
& in(sK13(X0,X2),relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ! [X6] :
( apply(X0,X6) != sK14(X0,X1)
| ~ in(X6,relation_dom(X0)) )
| ~ in(sK14(X0,X1),X1) )
& ( ( apply(X0,sK15(X0,X1)) = sK14(X0,X1)
& in(sK15(X0,X1),relation_dom(X0)) )
| in(sK14(X0,X1),X1) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f112,f115,f114,f113]) ).
fof(f113,plain,
! [X0,X2] :
( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
=> ( apply(X0,sK13(X0,X2)) = X2
& in(sK13(X0,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| ~ in(X5,X1) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| in(X5,X1) ) )
=> ( ( ! [X6] :
( apply(X0,X6) != sK14(X0,X1)
| ~ in(X6,relation_dom(X0)) )
| ~ in(sK14(X0,X1),X1) )
& ( ? [X7] :
( apply(X0,X7) = sK14(X0,X1)
& in(X7,relation_dom(X0)) )
| in(sK14(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0,X1] :
( ? [X7] :
( apply(X0,X7) = sK14(X0,X1)
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK15(X0,X1)) = sK14(X0,X1)
& in(sK15(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X5] :
( ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| ~ in(X5,X1) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| in(X5,X1) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f865,plain,
apply(sK18,sK3(sK18,sF22)) = apply(sF22,apply(sK17,apply(sK18,sK3(sK18,sF22)))),
inference(resolution,[],[f593,f376]) ).
fof(f376,plain,
! [X0] :
( ~ in(X0,sF21)
| apply(sF22,apply(sK17,X0)) = X0 ),
inference(forward_demodulation,[],[f375,f225]) ).
fof(f375,plain,
! [X0] :
( ~ in(X0,sF21)
| apply(function_inverse(sK17),apply(sK17,X0)) = X0 ),
inference(forward_demodulation,[],[f374,f222]) ).
fof(f374,plain,
! [X0] :
( ~ in(X0,relation_dom(sK17))
| apply(function_inverse(sK17),apply(sK17,X0)) = X0 ),
inference(subsumption_resolution,[],[f373,f191]) ).
fof(f373,plain,
! [X0] :
( apply(function_inverse(sK17),apply(sK17,X0)) = X0
| ~ in(X0,relation_dom(sK17))
| ~ function(sK17) ),
inference(subsumption_resolution,[],[f365,f200]) ).
fof(f365,plain,
! [X0] :
( ~ relation(sK17)
| ~ function(sK17)
| ~ in(X0,relation_dom(sK17))
| apply(function_inverse(sK17),apply(sK17,X0)) = X0 ),
inference(resolution,[],[f232,f196]) ).
fof(f232,plain,
! [X0,X4] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| apply(function_inverse(X0),apply(X0,X4)) = X4
| ~ in(X4,relation_dom(X0)) ),
inference(subsumption_resolution,[],[f231,f188]) ).
fof(f231,plain,
! [X0,X4] :
( ~ relation(X0)
| ~ one_to_one(X0)
| apply(function_inverse(X0),apply(X0,X4)) = X4
| ~ function(function_inverse(X0))
| ~ in(X4,relation_dom(X0))
| ~ function(X0) ),
inference(subsumption_resolution,[],[f212,f189]) ).
fof(f212,plain,
! [X0,X4] :
( ~ one_to_one(X0)
| ~ relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(function_inverse(X0))
| apply(function_inverse(X0),apply(X0,X4)) = X4
| ~ function(X0)
| ~ in(X4,relation_dom(X0)) ),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X4] :
( ~ one_to_one(X0)
| ~ relation(X1)
| ~ function(X1)
| apply(X1,apply(X0,X4)) = X4
| ~ in(X4,relation_dom(X0))
| function_inverse(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X4,X5] :
( ~ one_to_one(X0)
| ~ relation(X1)
| ~ function(X1)
| apply(X1,X5) = X4
| apply(X0,X4) != X5
| ~ in(X4,relation_dom(X0))
| function_inverse(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f132,plain,
! [X0,X1] :
( apply(X1,sK3(X0,X1)) != apply(X0,sK3(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| X0 = X1
| ~ relation(X1)
| relation_dom(X0) != relation_dom(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 14:32:19 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.49 % (32234)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)
% 0.21/0.50 % (32230)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)
% 0.21/0.51 % (32250)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)
% 0.21/0.51 % (32240)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)
% 0.21/0.52 % (32238)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)
% 0.21/0.52 % (32241)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (32231)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)
% 0.21/0.52 % (32242)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (32232)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)
% 0.21/0.53 % (32253)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)
% 0.21/0.53 % (32230)Refutation not found, incomplete strategy% (32230)------------------------------
% 0.21/0.53 % (32230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (32230)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (32230)Memory used [KB]: 5756
% 0.21/0.53 % (32230)Time elapsed: 0.132 s
% 0.21/0.53 % (32230)Instructions burned: 11 (million)
% 0.21/0.53 % (32230)------------------------------
% 0.21/0.53 % (32230)------------------------------
% 0.21/0.53 % (32244)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)
% 0.21/0.53 % (32254)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (32233)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (32229)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)
% 0.21/0.54 % (32235)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)
% 0.21/0.54 % (32259)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)
% 0.21/0.54 % (32239)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (32249)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 % (32237)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (32237)Instruction limit reached!
% 0.21/0.54 % (32237)------------------------------
% 0.21/0.54 % (32237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (32245)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)
% 0.21/0.54 % (32255)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.55 % (32257)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)
% 0.21/0.55 % (32251)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (32258)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55 % (32256)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)
% 0.21/0.55 % (32247)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (32243)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)
% 0.21/0.55 % (32248)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (32236)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 TRYING [1]
% 0.21/0.56 TRYING [2]
% 0.21/0.56 % (32236)Instruction limit reached!
% 0.21/0.56 % (32236)------------------------------
% 0.21/0.56 % (32236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 TRYING [3]
% 0.21/0.56 % (32237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (32237)Termination reason: Unknown
% 0.21/0.56 % (32237)Termination phase: Naming
% 0.21/0.56
% 0.21/0.56 % (32237)Memory used [KB]: 895
% 0.21/0.56 % (32237)Time elapsed: 0.002 s
% 0.21/0.56 % (32237)Instructions burned: 2 (million)
% 0.21/0.56 % (32237)------------------------------
% 0.21/0.56 % (32237)------------------------------
% 0.21/0.56 TRYING [1]
% 1.65/0.57 % (32236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (32236)Termination reason: Unknown
% 1.65/0.57 % (32236)Termination phase: Saturation
% 1.65/0.57
% 1.65/0.57 % (32236)Memory used [KB]: 5628
% 1.65/0.57 % (32236)Time elapsed: 0.120 s
% 1.65/0.57 % (32236)Instructions burned: 8 (million)
% 1.65/0.57 % (32236)------------------------------
% 1.65/0.57 % (32236)------------------------------
% 1.65/0.57 % (32231)Instruction limit reached!
% 1.65/0.57 % (32231)------------------------------
% 1.65/0.57 % (32231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (32234)Instruction limit reached!
% 1.65/0.57 % (32234)------------------------------
% 1.65/0.57 % (32234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 TRYING [3]
% 1.65/0.58 TRYING [2]
% 1.65/0.58 TRYING [3]
% 1.65/0.58 % (32234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58 % (32252)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)
% 1.79/0.58 % (32234)Termination reason: Unknown
% 1.79/0.58 % (32234)Termination phase: Saturation
% 1.79/0.58
% 1.79/0.58 % (32234)Memory used [KB]: 6012
% 1.79/0.58 % (32234)Time elapsed: 0.154 s
% 1.79/0.58 % (32234)Instructions burned: 49 (million)
% 1.79/0.58 % (32234)------------------------------
% 1.79/0.58 % (32234)------------------------------
% 1.79/0.59 TRYING [4]
% 1.79/0.59 % (32231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (32231)Termination reason: Unknown
% 1.79/0.59 % (32231)Termination phase: Saturation
% 1.79/0.59
% 1.79/0.59 % (32231)Memory used [KB]: 1407
% 1.79/0.59 % (32231)Time elapsed: 0.163 s
% 1.79/0.59 % (32231)Instructions burned: 38 (million)
% 1.79/0.59 % (32231)------------------------------
% 1.79/0.59 % (32231)------------------------------
% 1.79/0.60 % (32235)Instruction limit reached!
% 1.79/0.60 % (32235)------------------------------
% 1.79/0.60 % (32235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60 % (32235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60 % (32235)Termination reason: Unknown
% 1.79/0.60 % (32235)Termination phase: Finite model building constraint generation
% 1.79/0.60
% 1.79/0.60 % (32235)Memory used [KB]: 7291
% 1.79/0.60 % (32235)Time elapsed: 0.183 s
% 1.79/0.60 % (32235)Instructions burned: 51 (million)
% 1.79/0.60 % (32235)------------------------------
% 1.79/0.60 % (32235)------------------------------
% 1.79/0.61 % (32238)Instruction limit reached!
% 1.79/0.61 % (32238)------------------------------
% 1.79/0.61 % (32238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61 % (32238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61 % (32238)Termination reason: Unknown
% 1.79/0.61 % (32238)Termination phase: Saturation
% 1.79/0.61
% 1.79/0.61 % (32238)Memory used [KB]: 1535
% 1.79/0.61 % (32238)Time elapsed: 0.197 s
% 1.79/0.61 % (32238)Instructions burned: 53 (million)
% 1.79/0.61 % (32238)------------------------------
% 1.79/0.61 % (32238)------------------------------
% 1.79/0.61 % (32232)Instruction limit reached!
% 1.79/0.61 % (32232)------------------------------
% 1.79/0.61 % (32232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61 % (32232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61 % (32232)Termination reason: Unknown
% 1.79/0.61 % (32232)Termination phase: Saturation
% 1.79/0.61
% 1.79/0.61 % (32232)Memory used [KB]: 5884
% 1.79/0.61 % (32232)Time elapsed: 0.210 s
% 1.79/0.61 % (32232)Instructions burned: 52 (million)
% 1.79/0.61 % (32232)------------------------------
% 1.79/0.61 % (32232)------------------------------
% 1.79/0.62 % (32233)Instruction limit reached!
% 1.79/0.62 % (32233)------------------------------
% 1.79/0.62 % (32233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62 % (32233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62 % (32233)Termination reason: Unknown
% 1.79/0.62 % (32233)Termination phase: Saturation
% 1.79/0.62
% 1.79/0.62 % (32233)Memory used [KB]: 6396
% 1.79/0.62 % (32233)Time elapsed: 0.218 s
% 1.79/0.62 % (32233)Instructions burned: 51 (million)
% 1.79/0.62 % (32233)------------------------------
% 1.79/0.62 % (32233)------------------------------
% 1.79/0.63 % (32247)Instruction limit reached!
% 1.79/0.63 % (32247)------------------------------
% 1.79/0.63 % (32247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.64 % (32247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.64 % (32247)Termination reason: Unknown
% 1.79/0.64 % (32247)Termination phase: Finite model building SAT solving
% 1.79/0.64
% 1.79/0.64 % (32247)Memory used [KB]: 7164
% 1.79/0.64 % (32247)Time elapsed: 0.193 s
% 1.79/0.64 % (32247)Instructions burned: 61 (million)
% 1.79/0.64 % (32247)------------------------------
% 1.79/0.64 % (32247)------------------------------
% 2.20/0.64 % (32239)Instruction limit reached!
% 2.20/0.64 % (32239)------------------------------
% 2.20/0.64 % (32239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65 % (32239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65 % (32239)Termination reason: Unknown
% 2.20/0.65 % (32239)Termination phase: Saturation
% 2.20/0.65
% 2.20/0.65 % (32239)Memory used [KB]: 6140
% 2.20/0.65 % (32239)Time elapsed: 0.230 s
% 2.20/0.65 % (32239)Instructions burned: 50 (million)
% 2.20/0.65 % (32239)------------------------------
% 2.20/0.65 % (32239)------------------------------
% 2.31/0.66 % (32241)Instruction limit reached!
% 2.31/0.66 % (32241)------------------------------
% 2.31/0.66 % (32241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (32311)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)
% 2.31/0.67 % (32243)Instruction limit reached!
% 2.31/0.67 % (32243)------------------------------
% 2.31/0.67 % (32243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (32256)Instruction limit reached!
% 2.31/0.67 % (32256)------------------------------
% 2.31/0.67 % (32256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (32240)Instruction limit reached!
% 2.31/0.67 % (32240)------------------------------
% 2.31/0.67 % (32240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68 % (32256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68 % (32256)Termination reason: Unknown
% 2.31/0.68 % (32256)Termination phase: Saturation
% 2.31/0.68
% 2.31/0.68 % (32256)Memory used [KB]: 6780
% 2.31/0.68 % (32256)Time elapsed: 0.056 s
% 2.31/0.68 % (32256)Instructions burned: 69 (million)
% 2.31/0.68 % (32256)------------------------------
% 2.31/0.68 % (32256)------------------------------
% 2.31/0.68 % (32244)Instruction limit reached!
% 2.31/0.68 % (32244)------------------------------
% 2.31/0.68 % (32244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68 % (32242)Instruction limit reached!
% 2.31/0.68 % (32242)------------------------------
% 2.31/0.68 % (32242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68 % (32240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68 % (32240)Termination reason: Unknown
% 2.31/0.68 % (32240)Termination phase: Saturation
% 2.31/0.68
% 2.31/0.68 % (32240)Memory used [KB]: 6396
% 2.31/0.68 % (32240)Time elapsed: 0.260 s
% 2.31/0.68 % (32240)Instructions burned: 101 (million)
% 2.31/0.68 % (32240)------------------------------
% 2.31/0.68 % (32240)------------------------------
% 2.31/0.68 % (32241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68 % (32241)Termination reason: Unknown
% 2.31/0.68 % (32241)Termination phase: Saturation
% 2.31/0.68
% 2.31/0.69 % (32241)Memory used [KB]: 6524
% 2.31/0.69 % (32241)Time elapsed: 0.224 s
% 2.31/0.69 % (32241)Instructions burned: 101 (million)
% 2.31/0.69 % (32241)------------------------------
% 2.31/0.69 % (32241)------------------------------
% 2.31/0.69 % (32249)Instruction limit reached!
% 2.31/0.69 % (32249)------------------------------
% 2.31/0.69 % (32249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.69 % (32243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.69 % (32243)Termination reason: Unknown
% 2.31/0.69 % (32243)Termination phase: Saturation
% 2.31/0.69
% 2.31/0.69 % (32243)Memory used [KB]: 6652
% 2.31/0.69 % (32243)Time elapsed: 0.044 s
% 2.31/0.69 % (32243)Instructions burned: 68 (million)
% 2.31/0.69 % (32243)------------------------------
% 2.31/0.69 % (32243)------------------------------
% 2.31/0.69 TRYING [5]
% 2.31/0.69 % (32244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.69 % (32244)Termination reason: Unknown
% 2.31/0.69 % (32244)Termination phase: Saturation
% 2.31/0.69
% 2.31/0.69 % (32244)Memory used [KB]: 1918
% 2.31/0.69 % (32244)Time elapsed: 0.238 s
% 2.31/0.69 % (32244)Instructions burned: 76 (million)
% 2.31/0.69 % (32244)------------------------------
% 2.31/0.69 % (32244)------------------------------
% 2.31/0.69 % (32242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.69 % (32242)Termination reason: Unknown
% 2.31/0.69 % (32242)Termination phase: Saturation
% 2.31/0.69
% 2.31/0.69 % (32242)Memory used [KB]: 6652
% 2.31/0.69 % (32242)Time elapsed: 0.275 s
% 2.31/0.69 % (32242)Instructions burned: 100 (million)
% 2.31/0.69 % (32242)------------------------------
% 2.31/0.69 % (32242)------------------------------
% 2.31/0.69 % (32328)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 (2997ds/211Mi)
% 2.31/0.70 % (32334)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 (2997ds/90Mi)
% 2.31/0.71 % (32245)Instruction limit reached!
% 2.31/0.71 % (32245)------------------------------
% 2.31/0.71 % (32245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.71 % (32348)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.61/0.71 % (32249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.71 % (32249)Termination reason: Unknown
% 2.61/0.71 % (32249)Termination phase: Saturation
% 2.61/0.71
% 2.61/0.71 % (32249)Memory used [KB]: 1791
% 2.61/0.71 % (32249)Time elapsed: 0.277 s
% 2.61/0.71 % (32249)Instructions burned: 101 (million)
% 2.61/0.71 % (32249)------------------------------
% 2.61/0.71 % (32249)------------------------------
% 2.61/0.72 % (32245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.72 % (32245)Termination reason: Unknown
% 2.61/0.72 % (32245)Termination phase: Saturation
% 2.61/0.72
% 2.61/0.72 % (32245)Memory used [KB]: 6524
% 2.61/0.72 % (32245)Time elapsed: 0.312 s
% 2.61/0.72 % (32245)Instructions burned: 99 (million)
% 2.61/0.72 % (32245)------------------------------
% 2.61/0.72 % (32245)------------------------------
% 2.61/0.72 % (32351)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.61/0.74 % (32354)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.61/0.74 % (32358)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 (2997ds/68Mi)
% 2.61/0.74 % (32248)Instruction limit reached!
% 2.61/0.74 % (32248)------------------------------
% 2.61/0.74 % (32248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.74 % (32248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.74 % (32248)Termination reason: Unknown
% 2.61/0.74 % (32248)Termination phase: Saturation
% 2.61/0.74
% 2.61/0.74 % (32248)Memory used [KB]: 6524
% 2.61/0.74 % (32248)Time elapsed: 0.329 s
% 2.61/0.74 % (32248)Instructions burned: 100 (million)
% 2.61/0.74 % (32248)------------------------------
% 2.61/0.74 % (32248)------------------------------
% 2.61/0.74 % (32357)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.61/0.74 % (32359)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.61/0.75 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.77/0.76 % (32250)Instruction limit reached!
% 2.77/0.76 % (32250)------------------------------
% 2.77/0.76 % (32250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.76 % (32257)First to succeed.
% 2.77/0.77 % (32360)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.77/0.78 % (32361)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 (2997ds/90Mi)
% 2.77/0.78 % (32250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.78 % (32250)Termination reason: Unknown
% 2.77/0.78 % (32250)Termination phase: Saturation
% 2.77/0.78
% 2.77/0.78 % (32250)Memory used [KB]: 6652
% 2.77/0.78 % (32250)Time elapsed: 0.355 s
% 2.77/0.78 % (32250)Instructions burned: 177 (million)
% 2.77/0.78 % (32250)------------------------------
% 2.77/0.78 % (32250)------------------------------
% 2.77/0.79 % (32257)Refutation found. Thanks to Tanya!
% 2.77/0.79 % SZS status Theorem for theBenchmark
% 2.77/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/0.79 % (32257)------------------------------
% 2.77/0.79 % (32257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.79 % (32257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.79 % (32257)Termination reason: Refutation
% 2.77/0.79
% 2.77/0.79 % (32257)Memory used [KB]: 2558
% 2.77/0.79 % (32257)Time elapsed: 0.348 s
% 2.77/0.79 % (32257)Instructions burned: 120 (million)
% 2.77/0.79 % (32257)------------------------------
% 2.77/0.79 % (32257)------------------------------
% 2.77/0.79 % (32224)Success in time 0.44 s
%------------------------------------------------------------------------------