TSTP Solution File: SEU419+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU419+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n009.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 18:30:07 EDT 2022
% Result : Theorem 0.19s 0.60s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 97 ( 8 unt; 0 def)
% Number of atoms : 326 ( 29 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 388 ( 159 ~; 166 |; 40 &)
% ( 13 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 139 ( 124 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f650,plain,
$false,
inference(avatar_sat_refutation,[],[f212,f218,f250,f344,f354,f370,f372,f640,f649]) ).
fof(f649,plain,
( ~ spl12_5
| spl12_7 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| ~ spl12_5
| spl12_7 ),
inference(subsumption_resolution,[],[f647,f217]) ).
fof(f217,plain,
( r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK7,k1_tarski(sK8)))
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl12_5
<=> r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK7,k1_tarski(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f647,plain,
( ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK7,k1_tarski(sK8)))
| spl12_7 ),
inference(subsumption_resolution,[],[f646,f145]) ).
fof(f145,plain,
v1_relat_1(sK7),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( v1_relat_1(sK7)
& k4_xboole_0(k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(sK9,k1_tarski(sK8))) != k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))
& v1_relat_1(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f95,f97,f96]) ).
fof(f96,plain,
( ? [X0,X1] :
( v1_relat_1(X0)
& ? [X2] :
( k9_relat_1(k4_xboole_0(X0,X2),k1_tarski(X1)) != k4_xboole_0(k9_relat_1(X0,k1_tarski(X1)),k9_relat_1(X2,k1_tarski(X1)))
& v1_relat_1(X2) ) )
=> ( v1_relat_1(sK7)
& ? [X2] :
( k4_xboole_0(k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(X2,k1_tarski(sK8))) != k9_relat_1(k4_xboole_0(sK7,X2),k1_tarski(sK8))
& v1_relat_1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X2] :
( k4_xboole_0(k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(X2,k1_tarski(sK8))) != k9_relat_1(k4_xboole_0(sK7,X2),k1_tarski(sK8))
& v1_relat_1(X2) )
=> ( k4_xboole_0(k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(sK9,k1_tarski(sK8))) != k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))
& v1_relat_1(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
? [X0,X1] :
( v1_relat_1(X0)
& ? [X2] :
( k9_relat_1(k4_xboole_0(X0,X2),k1_tarski(X1)) != k4_xboole_0(k9_relat_1(X0,k1_tarski(X1)),k9_relat_1(X2,k1_tarski(X1)))
& v1_relat_1(X2) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
? [X1,X0] :
( v1_relat_1(X1)
& ? [X2] :
( k9_relat_1(k4_xboole_0(X1,X2),k1_tarski(X0)) != k4_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0)))
& v1_relat_1(X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k4_xboole_0(X1,X2),k1_tarski(X0)) = k4_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0))) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k4_xboole_0(X1,X2),k1_tarski(X0)) = k4_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_2) ).
fof(f646,plain,
( ~ v1_relat_1(sK7)
| ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK7,k1_tarski(sK8)))
| spl12_7 ),
inference(resolution,[],[f244,f160]) ).
fof(f160,plain,
! [X2,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X2,X0),k1_tarski(X2)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2))) ),
inference(definition_unfolding,[],[f158,f115]) ).
fof(f115,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f158,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(X2,X0),X1)
| ~ r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(k4_tarski(X2,X0),X1)
| ~ r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2))) )
& ( r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
| ~ r2_hidden(k4_tarski(X2,X0),X1) ) )
| ~ v1_relat_1(X1) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( r2_hidden(k4_tarski(X2,X0),X1)
<=> r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2))) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X2,X1] :
( v1_relat_1(X1)
=> ( r2_hidden(k4_tarski(X2,X0),X1)
<=> r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2))) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0,X2,X1] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_relset_2) ).
fof(f244,plain,
( ~ r2_hidden(k2_tarski(k2_tarski(sK8,sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))),k1_tarski(sK8)),sK7)
| spl12_7 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl12_7
<=> r2_hidden(k2_tarski(k2_tarski(sK8,sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))),k1_tarski(sK8)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f640,plain,
( spl12_3
| spl12_4
| ~ spl12_6
| ~ spl12_7 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| spl12_3
| spl12_4
| ~ spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f638,f207]) ).
fof(f207,plain,
( ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8)))
| spl12_3 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl12_3
<=> r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f638,plain,
( r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8)))
| spl12_4
| ~ spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f637,f143]) ).
fof(f143,plain,
v1_relat_1(sK9),
inference(cnf_transformation,[],[f98]) ).
fof(f637,plain,
( ~ v1_relat_1(sK9)
| r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8)))
| spl12_4
| ~ spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f626,f240]) ).
fof(f240,plain,
( v1_relat_1(k4_xboole_0(sK7,sK9))
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl12_6
<=> v1_relat_1(k4_xboole_0(sK7,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f626,plain,
( ~ v1_relat_1(k4_xboole_0(sK7,sK9))
| ~ v1_relat_1(sK9)
| r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8)))
| spl12_4
| ~ spl12_7 ),
inference(resolution,[],[f389,f210]) ).
fof(f210,plain,
( ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))
| spl12_4 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl12_4
<=> r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f389,plain,
( ! [X5] :
( r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,X5),k1_tarski(sK8)))
| r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(X5,k1_tarski(sK8)))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(k4_xboole_0(sK7,X5)) )
| ~ spl12_7 ),
inference(resolution,[],[f347,f161]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X2,X0),k1_tarski(X2)),X1)
| ~ v1_relat_1(X1)
| r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2))) ),
inference(definition_unfolding,[],[f157,f115]) ).
fof(f157,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(X1,k1_tarski(X2)))
| ~ r2_hidden(k4_tarski(X2,X0),X1)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f347,plain,
( ! [X2] :
( r2_hidden(k2_tarski(k2_tarski(sK8,sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))),k1_tarski(sK8)),X2)
| ~ v1_relat_1(k4_xboole_0(sK7,X2))
| r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,X2),k1_tarski(sK8))) )
| ~ spl12_7 ),
inference(resolution,[],[f245,f198]) ).
fof(f198,plain,
! [X3,X6,X4,X5] :
( ~ r2_hidden(k2_tarski(k2_tarski(X6,X5),k1_tarski(X6)),X3)
| r2_hidden(k2_tarski(k2_tarski(X6,X5),k1_tarski(X6)),X4)
| r2_hidden(X5,k9_relat_1(k4_xboole_0(X3,X4),k1_tarski(X6)))
| ~ v1_relat_1(k4_xboole_0(X3,X4)) ),
inference(resolution,[],[f161,f164]) ).
fof(f164,plain,
! [X3,X0,X1] :
( r2_hidden(X3,k4_xboole_0(X1,X0))
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) ),
inference(equality_resolution,[],[f127]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,X2)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| k4_xboole_0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( ~ r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) ) )
| k4_xboole_0(X1,X0) != X2 )
& ( k4_xboole_0(X1,X0) = X2
| ( ( ~ r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X0)
| ~ r2_hidden(sK2(X0,X1,X2),X1) )
& ( r2_hidden(sK2(X0,X1,X2),X2)
| ( ~ r2_hidden(sK2(X0,X1,X2),X0)
& r2_hidden(sK2(X0,X1,X2),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f81,f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ r2_hidden(X4,X2)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& r2_hidden(X4,X1) ) ) )
=> ( ( ~ r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X0)
| ~ r2_hidden(sK2(X0,X1,X2),X1) )
& ( r2_hidden(sK2(X0,X1,X2),X2)
| ( ~ r2_hidden(sK2(X0,X1,X2),X0)
& r2_hidden(sK2(X0,X1,X2),X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( ~ r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) ) )
| k4_xboole_0(X1,X0) != X2 )
& ( k4_xboole_0(X1,X0) = X2
| ? [X4] :
( ( ~ r2_hidden(X4,X2)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& r2_hidden(X4,X1) ) ) ) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( ( ~ r2_hidden(X3,X2)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X0) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| k4_xboole_0(X1,X2) != X0 )
& ( k4_xboole_0(X1,X2) = X0
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X0)
| ( ~ r2_hidden(X3,X2)
& r2_hidden(X3,X1) ) ) ) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( ( ~ r2_hidden(X3,X2)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X0) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| k4_xboole_0(X1,X2) != X0 )
& ( k4_xboole_0(X1,X2) = X0
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X0)
| ( ~ r2_hidden(X3,X2)
& r2_hidden(X3,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X2,X1,X0] :
( ! [X3] :
( ( ~ r2_hidden(X3,X2)
& r2_hidden(X3,X1) )
<=> r2_hidden(X3,X0) )
<=> k4_xboole_0(X1,X2) = X0 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( k4_xboole_0(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f245,plain,
( r2_hidden(k2_tarski(k2_tarski(sK8,sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))),k1_tarski(sK8)),sK7)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f372,plain,
( spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f371,f215,f209,f205]) ).
fof(f371,plain,
( ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))
| r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8)))
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f219,f217]) ).
fof(f219,plain,
( r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8)))
| ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK7,k1_tarski(sK8)))
| ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))) ),
inference(resolution,[],[f170,f174]) ).
fof(f174,plain,
~ sQ11_eqProxy(k4_xboole_0(k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(sK9,k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),
inference(equality_proxy_replacement,[],[f144,f167]) ).
fof(f167,plain,
! [X0,X1] :
( sQ11_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ11_eqProxy])]) ).
fof(f144,plain,
k4_xboole_0(k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(sK9,k1_tarski(sK8))) != k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)),
inference(cnf_transformation,[],[f98]) ).
fof(f170,plain,
! [X2,X0,X1] :
( sQ11_eqProxy(k4_xboole_0(X1,X0),X2)
| ~ r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X0)
| ~ r2_hidden(sK2(X0,X1,X2),X1) ),
inference(equality_proxy_replacement,[],[f126,f167]) ).
fof(f126,plain,
! [X2,X0,X1] :
( k4_xboole_0(X1,X0) = X2
| ~ r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X0)
| ~ r2_hidden(sK2(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f370,plain,
( ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f368,f206]) ).
fof(f206,plain,
( r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8)))
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f368,plain,
( ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8)))
| ~ spl12_4
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f367,f143]) ).
fof(f367,plain,
( ~ v1_relat_1(sK9)
| ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8)))
| ~ spl12_4
| ~ spl12_6 ),
inference(resolution,[],[f345,f160]) ).
fof(f345,plain,
( ~ r2_hidden(k2_tarski(k2_tarski(sK8,sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))),k1_tarski(sK8)),sK9)
| ~ spl12_4
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f336,f240]) ).
fof(f336,plain,
( ~ r2_hidden(k2_tarski(k2_tarski(sK8,sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))),k1_tarski(sK8)),sK9)
| ~ v1_relat_1(k4_xboole_0(sK7,sK9))
| ~ spl12_4 ),
inference(resolution,[],[f211,f196]) ).
fof(f196,plain,
! [X6,X7,X4,X5] :
( ~ r2_hidden(X6,k9_relat_1(k4_xboole_0(X4,X5),k1_tarski(X7)))
| ~ v1_relat_1(k4_xboole_0(X4,X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X5) ),
inference(resolution,[],[f160,f162]) ).
fof(f162,plain,
! [X3,X0,X1] :
( ~ r2_hidden(X3,k4_xboole_0(X1,X0))
| ~ r2_hidden(X3,X0) ),
inference(equality_resolution,[],[f129]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2)
| k4_xboole_0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f211,plain,
( r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f354,plain,
( spl12_5
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f351,f243,f215]) ).
fof(f351,plain,
( r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK7,k1_tarski(sK8)))
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f348,f145]) ).
fof(f348,plain,
( ~ v1_relat_1(sK7)
| r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK7,k1_tarski(sK8)))
| ~ spl12_7 ),
inference(resolution,[],[f245,f161]) ).
fof(f344,plain,
( spl12_7
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f343,f239,f209,f243]) ).
fof(f343,plain,
( r2_hidden(k2_tarski(k2_tarski(sK8,sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))),k1_tarski(sK8)),sK7)
| ~ spl12_4
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f337,f240]) ).
fof(f337,plain,
( ~ v1_relat_1(k4_xboole_0(sK7,sK9))
| r2_hidden(k2_tarski(k2_tarski(sK8,sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))),k1_tarski(sK8)),sK7)
| ~ spl12_4 ),
inference(resolution,[],[f211,f195]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,k9_relat_1(k4_xboole_0(X0,X1),k1_tarski(X3)))
| r2_hidden(k2_tarski(k2_tarski(X3,X2),k1_tarski(X3)),X0)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(resolution,[],[f160,f163]) ).
fof(f163,plain,
! [X3,X0,X1] :
( ~ r2_hidden(X3,k4_xboole_0(X1,X0))
| r2_hidden(X3,X1) ),
inference(equality_resolution,[],[f128]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2)
| k4_xboole_0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f250,plain,
spl12_6,
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| spl12_6 ),
inference(subsumption_resolution,[],[f248,f145]) ).
fof(f248,plain,
( ~ v1_relat_1(sK7)
| spl12_6 ),
inference(subsumption_resolution,[],[f247,f143]) ).
fof(f247,plain,
( ~ v1_relat_1(sK9)
| ~ v1_relat_1(sK7)
| spl12_6 ),
inference(resolution,[],[f241,f159]) ).
fof(f159,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( v1_relat_1(X0)
& v1_relat_1(X1) )
=> v1_relat_1(k4_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_relat_1) ).
fof(f241,plain,
( ~ v1_relat_1(k4_xboole_0(sK7,sK9))
| spl12_6 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f218,plain,
( spl12_4
| spl12_5 ),
inference(avatar_split_clause,[],[f213,f215,f209]) ).
fof(f213,plain,
( r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK7,k1_tarski(sK8)))
| r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))) ),
inference(resolution,[],[f172,f174]) ).
fof(f172,plain,
! [X2,X0,X1] :
( sQ11_eqProxy(k4_xboole_0(X1,X0),X2)
| r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X1) ),
inference(equality_proxy_replacement,[],[f124,f167]) ).
fof(f124,plain,
! [X2,X0,X1] :
( k4_xboole_0(X1,X0) = X2
| r2_hidden(sK2(X0,X1,X2),X2)
| r2_hidden(sK2(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f212,plain,
( ~ spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f203,f209,f205]) ).
fof(f203,plain,
( r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8)))
| ~ r2_hidden(sK2(k9_relat_1(sK9,k1_tarski(sK8)),k9_relat_1(sK7,k1_tarski(sK8)),k9_relat_1(k4_xboole_0(sK7,sK9),k1_tarski(sK8))),k9_relat_1(sK9,k1_tarski(sK8))) ),
inference(resolution,[],[f171,f174]) ).
fof(f171,plain,
! [X2,X0,X1] :
( sQ11_eqProxy(k4_xboole_0(X1,X0),X2)
| ~ r2_hidden(sK2(X0,X1,X2),X0)
| r2_hidden(sK2(X0,X1,X2),X2) ),
inference(equality_proxy_replacement,[],[f125,f167]) ).
fof(f125,plain,
! [X2,X0,X1] :
( k4_xboole_0(X1,X0) = X2
| r2_hidden(sK2(X0,X1,X2),X2)
| ~ r2_hidden(sK2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU419+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 15:27:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 % (10386)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)
% 0.19/0.46 % (10386)Instruction limit reached!
% 0.19/0.46 % (10386)------------------------------
% 0.19/0.46 % (10386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (10410)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)
% 0.19/0.47 % (10402)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)
% 0.19/0.47 % (10394)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)
% 0.19/0.48 % (10410)Refutation not found, incomplete strategy% (10410)------------------------------
% 0.19/0.48 % (10410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (10394)Refutation not found, incomplete strategy% (10394)------------------------------
% 0.19/0.48 % (10394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (10386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (10386)Termination reason: Unknown
% 0.19/0.48 % (10386)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (10386)Memory used [KB]: 6140
% 0.19/0.48 % (10386)Time elapsed: 0.087 s
% 0.19/0.48 % (10386)Instructions burned: 13 (million)
% 0.19/0.48 % (10386)------------------------------
% 0.19/0.48 % (10386)------------------------------
% 0.19/0.48 % (10410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (10410)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (10410)Memory used [KB]: 6012
% 0.19/0.48 % (10410)Time elapsed: 0.104 s
% 0.19/0.48 % (10410)Instructions burned: 3 (million)
% 0.19/0.48 % (10410)------------------------------
% 0.19/0.48 % (10410)------------------------------
% 0.19/0.48 % (10409)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)
% 0.19/0.48 % (10394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (10394)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (10394)Memory used [KB]: 1535
% 0.19/0.48 % (10394)Time elapsed: 0.116 s
% 0.19/0.48 % (10394)Instructions burned: 3 (million)
% 0.19/0.48 % (10394)------------------------------
% 0.19/0.48 % (10394)------------------------------
% 0.19/0.48 % (10385)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)
% 0.19/0.50 % (10393)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)
% 0.19/0.50 % (10393)Instruction limit reached!
% 0.19/0.50 % (10393)------------------------------
% 0.19/0.50 % (10393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (10393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (10393)Termination reason: Unknown
% 0.19/0.51 % (10393)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (10393)Memory used [KB]: 6140
% 0.19/0.51 % (10393)Time elapsed: 0.111 s
% 0.19/0.51 % (10393)Instructions burned: 7 (million)
% 0.19/0.51 % (10393)------------------------------
% 0.19/0.51 % (10393)------------------------------
% 0.19/0.52 % (10404)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)
% 0.19/0.52 % (10387)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)
% 0.19/0.52 % (10406)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)
% 0.19/0.52 % (10407)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)
% 0.19/0.52 % (10384)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)
% 0.19/0.52 % (10383)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)
% 0.19/0.52 % (10384)Refutation not found, incomplete strategy% (10384)------------------------------
% 0.19/0.52 % (10384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10384)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (10384)Memory used [KB]: 6012
% 0.19/0.52 % (10384)Time elapsed: 0.133 s
% 0.19/0.52 % (10384)Instructions burned: 2 (million)
% 0.19/0.52 % (10384)------------------------------
% 0.19/0.52 % (10384)------------------------------
% 0.19/0.52 % (10383)Refutation not found, incomplete strategy% (10383)------------------------------
% 0.19/0.52 % (10383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10383)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (10383)Memory used [KB]: 6012
% 0.19/0.52 % (10383)Time elapsed: 0.132 s
% 0.19/0.52 % (10383)Instructions burned: 2 (million)
% 0.19/0.52 % (10383)------------------------------
% 0.19/0.52 % (10383)------------------------------
% 0.19/0.53 % (10403)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)
% 0.19/0.53 % (10409)Instruction limit reached!
% 0.19/0.53 % (10409)------------------------------
% 0.19/0.53 % (10409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10399)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (10409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10409)Termination reason: Unknown
% 0.19/0.53 % (10409)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (10409)Memory used [KB]: 6268
% 0.19/0.53 % (10409)Time elapsed: 0.120 s
% 0.19/0.53 % (10409)Instructions burned: 26 (million)
% 0.19/0.53 % (10409)------------------------------
% 0.19/0.53 % (10409)------------------------------
% 0.19/0.53 % (10402)Instruction limit reached!
% 0.19/0.53 % (10402)------------------------------
% 0.19/0.53 % (10402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10402)Termination reason: Unknown
% 0.19/0.53 % (10402)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (10402)Memory used [KB]: 6396
% 0.19/0.53 % (10402)Time elapsed: 0.144 s
% 0.19/0.53 % (10402)Instructions burned: 31 (million)
% 0.19/0.53 % (10402)------------------------------
% 0.19/0.53 % (10402)------------------------------
% 0.19/0.53 % (10399)Instruction limit reached!
% 0.19/0.53 % (10399)------------------------------
% 0.19/0.53 % (10399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10399)Termination reason: Unknown
% 0.19/0.53 % (10399)Termination phase: Finite model building preprocessing
% 0.19/0.53
% 0.19/0.53 % (10399)Memory used [KB]: 1535
% 0.19/0.53 % (10399)Time elapsed: 0.003 s
% 0.19/0.53 % (10399)Instructions burned: 4 (million)
% 0.19/0.53 % (10399)------------------------------
% 0.19/0.53 % (10399)------------------------------
% 0.19/0.53 % (10398)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)
% 0.19/0.53 % (10396)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)
% 0.19/0.53 % (10391)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)
% 0.19/0.53 % (10395)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)
% 0.19/0.53 % (10392)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 % (10390)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)
% 0.19/0.54 % (10388)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)
% 0.19/0.54 % (10411)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)
% 0.19/0.54 % (10400)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)
% 0.19/0.54 % (10400)Instruction limit reached!
% 0.19/0.54 % (10400)------------------------------
% 0.19/0.54 % (10400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (10400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (10400)Termination reason: Unknown
% 0.19/0.54 % (10400)Termination phase: Function definition elimination
% 0.19/0.54
% 0.19/0.54 % (10400)Memory used [KB]: 1407
% 0.19/0.54 % (10400)Time elapsed: 0.003 s
% 0.19/0.54 % (10400)Instructions burned: 2 (million)
% 0.19/0.54 % (10400)------------------------------
% 0.19/0.54 % (10400)------------------------------
% 0.19/0.54 % (10387)Refutation not found, incomplete strategy% (10387)------------------------------
% 0.19/0.54 % (10387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (10387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (10387)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (10387)Memory used [KB]: 1535
% 0.19/0.54 % (10387)Time elapsed: 0.154 s
% 0.19/0.54 % (10387)Instructions burned: 4 (million)
% 0.19/0.54 % (10387)------------------------------
% 0.19/0.54 % (10387)------------------------------
% 0.19/0.55 % (10385)Instruction limit reached!
% 0.19/0.55 % (10385)------------------------------
% 0.19/0.55 % (10385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (10385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (10385)Termination reason: Unknown
% 0.19/0.55 % (10385)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (10385)Memory used [KB]: 7291
% 0.19/0.55 % (10385)Time elapsed: 0.131 s
% 0.19/0.55 % (10385)Instructions burned: 52 (million)
% 0.19/0.55 % (10385)------------------------------
% 0.19/0.55 % (10385)------------------------------
% 0.19/0.55 % (10408)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 % (10392)Refutation not found, incomplete strategy% (10392)------------------------------
% 0.19/0.55 % (10392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (10392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (10392)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (10392)Memory used [KB]: 6012
% 0.19/0.55 % (10392)Time elapsed: 0.140 s
% 0.19/0.55 % (10392)Instructions burned: 5 (million)
% 0.19/0.55 % (10392)------------------------------
% 0.19/0.55 % (10392)------------------------------
% 0.19/0.55 % (10396)Instruction limit reached!
% 0.19/0.55 % (10396)------------------------------
% 0.19/0.55 % (10396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (10396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (10396)Termination reason: Unknown
% 0.19/0.55 % (10396)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (10396)Memory used [KB]: 6012
% 0.19/0.55 % (10396)Time elapsed: 0.005 s
% 0.19/0.55 % (10396)Instructions burned: 3 (million)
% 0.19/0.55 % (10396)------------------------------
% 0.19/0.55 % (10396)------------------------------
% 0.19/0.55 % (10408)Refutation not found, incomplete strategy% (10408)------------------------------
% 0.19/0.55 % (10408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (10408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (10408)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (10408)Memory used [KB]: 6012
% 0.19/0.55 % (10408)Time elapsed: 0.137 s
% 0.19/0.55 % (10408)Instructions burned: 4 (million)
% 0.19/0.55 % (10408)------------------------------
% 0.19/0.55 % (10408)------------------------------
% 0.19/0.55 % (10382)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.56 % (10401)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)
% 0.19/0.56 % (10401)Refutation not found, incomplete strategy% (10401)------------------------------
% 0.19/0.56 % (10401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (10401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (10401)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (10401)Memory used [KB]: 6012
% 0.19/0.56 % (10401)Time elapsed: 0.136 s
% 0.19/0.56 % (10401)Instructions burned: 3 (million)
% 0.19/0.56 % (10401)------------------------------
% 0.19/0.56 % (10401)------------------------------
% 0.19/0.57 % (10405)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)
% 0.19/0.58 % (10406)First to succeed.
% 0.19/0.59 % (10411)Instruction limit reached!
% 0.19/0.59 % (10411)------------------------------
% 0.19/0.59 % (10411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (10411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (10411)Termination reason: Unknown
% 0.19/0.59 % (10411)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (10411)Memory used [KB]: 6268
% 0.19/0.59 % (10411)Time elapsed: 0.178 s
% 0.19/0.59 % (10411)Instructions burned: 25 (million)
% 0.19/0.59 % (10411)------------------------------
% 0.19/0.59 % (10411)------------------------------
% 0.19/0.59 % (10391)Instruction limit reached!
% 0.19/0.59 % (10391)------------------------------
% 0.19/0.59 % (10391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (10391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (10391)Termination reason: Unknown
% 0.19/0.59 % (10391)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (10391)Memory used [KB]: 6780
% 0.19/0.59 % (10391)Time elapsed: 0.186 s
% 0.19/0.59 % (10391)Instructions burned: 33 (million)
% 0.19/0.59 % (10391)------------------------------
% 0.19/0.59 % (10391)------------------------------
% 0.19/0.59 % (10414)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 0.19/0.60 % (10405)Refutation not found, incomplete strategy% (10405)------------------------------
% 0.19/0.60 % (10405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (10405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (10405)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.60
% 0.19/0.60 % (10405)Memory used [KB]: 1535
% 0.19/0.60 % (10405)Time elapsed: 0.171 s
% 0.19/0.60 % (10405)Instructions burned: 4 (million)
% 0.19/0.60 % (10405)------------------------------
% 0.19/0.60 % (10405)------------------------------
% 0.19/0.60 % (10406)Refutation found. Thanks to Tanya!
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.61 % (10406)------------------------------
% 0.19/0.61 % (10406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (10406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (10406)Termination reason: Refutation
% 0.19/0.61
% 0.19/0.61 % (10406)Memory used [KB]: 6268
% 0.19/0.61 % (10406)Time elapsed: 0.195 s
% 0.19/0.61 % (10406)Instructions burned: 28 (million)
% 0.19/0.61 % (10406)------------------------------
% 0.19/0.61 % (10406)------------------------------
% 0.19/0.61 % (10381)Success in time 0.256 s
%------------------------------------------------------------------------------