%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU419+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:52 PM UTC 2026
% Result : Theorem 14.96s 4.90s
% Output : Refutation 22.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 139 ( 18 unt; 12 def)
% Number of atoms : 479 ( 36 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 558 ( 218 ~; 257 |; 59 &)
% ( 18 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 136 ( 0 sgn 127 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f32,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f709,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> v1_relat_1(k4_xboole_0(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_relat_1) ).
fof(f19024,axiom,
! [X0,X1,X2,X3] :
~ ( r2_hidden(X0,k2_xboole_0(X2,X3))
& r2_hidden(X1,k2_xboole_0(X2,X3))
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,k4_xboole_0(X2,X3)) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,k4_xboole_0(X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
fof(f19077,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_relset_2) ).
fof(f19080,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/sandbox/benchmark/theBenchmark.p',t12_relset_2) ).
fof(f19081,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,[status(cth)],[f19080]) ).
fof(f19139,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f19077]) ).
fof(f19142,plain,
? [X0,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) )
& v1_relat_1(X1) ),
inference(ennf_transformation,[],[f19081]) ).
fof(f19401,plain,
! [X0,X1,X2,X3] :
( ~ r2_hidden(X0,k2_xboole_0(X2,X3))
| ~ r2_hidden(X1,k2_xboole_0(X2,X3))
| ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,k4_xboole_0(X2,X3)) )
| ( r2_hidden(X0,X3)
& r2_hidden(X1,X3) )
| ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,X3) )
| ( r2_hidden(X0,X3)
& r2_hidden(X1,k4_xboole_0(X2,X3)) ) ),
inference(ennf_transformation,[],[f19024]) ).
fof(f19409,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X1,X0))
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f709]) ).
fof(f19561,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2) )
& ( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1))) ) )
| ~ v1_relat_1(X2) ),
inference(nnf_transformation,[],[f19139]) ).
fof(f19562,plain,
( k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)) != k4_xboole_0(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)))
& v1_relat_1(sK3)
& v1_relat_1(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f19142]) ).
fof(f19635,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f19636,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f19635]) ).
fof(f19637,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f19636]) ).
fof(f19638,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK52(X0,X1,X2),X0)
& ~ r2_hidden(sK52(X0,X1,X2),X1) )
| ~ r2_hidden(sK52(X0,X1,X2),X2) )
& ( r2_hidden(sK52(X0,X1,X2),X0)
| r2_hidden(sK52(X0,X1,X2),X1)
| r2_hidden(sK52(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X3,sK52(X0,X1,X2))],[f19637]) ).
fof(f19648,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f19649,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f19648]) ).
fof(f19650,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f19649]) ).
fof(f19651,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK55(X0,X1,X2),X0)
| r2_hidden(sK55(X0,X1,X2),X1)
| ~ r2_hidden(sK55(X0,X1,X2),X2) )
& ( ( r2_hidden(sK55(X0,X1,X2),X0)
& ~ r2_hidden(sK55(X0,X1,X2),X1) )
| r2_hidden(sK55(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X3,sK55(X0,X1,X2))],[f19650]) ).
fof(f19768,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f19561]) ).
fof(f19769,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f19561]) ).
fof(f19772,plain,
v1_relat_1(sK2),
inference(cnf_transformation,[],[f19562]) ).
fof(f19773,plain,
v1_relat_1(sK3),
inference(cnf_transformation,[],[f19562]) ).
fof(f19774,plain,
k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)) != k4_xboole_0(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1))),
inference(cnf_transformation,[],[f19562]) ).
fof(f20136,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f19638]) ).
fof(f20154,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k2_xboole_0(X2,X3))
| ~ r2_hidden(X1,k2_xboole_0(X2,X3))
| r2_hidden(X0,k4_xboole_0(X2,X3))
| r2_hidden(X0,X3)
| r2_hidden(X1,X3)
| r2_hidden(X1,k4_xboole_0(X2,X3)) ),
inference(cnf_transformation,[],[f19401]) ).
fof(f20169,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X1,X0))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f19409]) ).
fof(f20221,plain,
! [X2,X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f19651]) ).
fof(f20222,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f19651]) ).
fof(f20224,plain,
! [X2,X0,X1] :
( k4_xboole_0(X0,X1) = X2
| ~ r2_hidden(sK55(X0,X1,X2),X1)
| r2_hidden(sK55(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f19651]) ).
fof(f20225,plain,
! [X2,X0,X1] :
( k4_xboole_0(X0,X1) = X2
| r2_hidden(sK55(X0,X1,X2),X0)
| r2_hidden(sK55(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f19651]) ).
fof(f20226,plain,
! [X2,X0,X1] :
( k4_xboole_0(X0,X1) = X2
| ~ r2_hidden(sK55(X0,X1,X2),X0)
| r2_hidden(sK55(X0,X1,X2),X1)
| ~ r2_hidden(sK55(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f19651]) ).
fof(f20566,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k2_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f20136]) ).
fof(f20572,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f20222]) ).
fof(f20573,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f20221]) ).
fof(f20668,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X0,k2_xboole_0(X2,X3))
| r2_hidden(X0,k4_xboole_0(X2,X3))
| r2_hidden(X0,X3)
| sP162(X3,X2) ),
inference(cnf_transformation,[],[f20668_D]) ).
fof(f20668_D,definition,
! [X2,X3] :
( ! [X0] :
( ~ r2_hidden(X0,k2_xboole_0(X2,X3))
| r2_hidden(X0,k4_xboole_0(X2,X3))
| r2_hidden(X0,X3) )
<=> ~ sP162(X3,X2) ),
introduced(definition,[new_symbols(definition,[sP162])],[general_splitting_component_introduction]) ).
fof(f20669,plain,
! [X2,X3,X1] :
( ~ r2_hidden(X1,k2_xboole_0(X2,X3))
| r2_hidden(X1,X3)
| r2_hidden(X1,k4_xboole_0(X2,X3))
| ~ sP162(X3,X2) ),
inference(general_splitting,[],[f20154,f20668_D]) ).
fof(f20781,definition,
( spl208_1
<=> k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)) = k4_xboole_0(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1))) ),
introduced(definition,[new_symbols(definition,[spl208_1])],[avatar_definition]) ).
fof(f20783,plain,
( k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)) != k4_xboole_0(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)))
| spl208_1 ),
inference(avatar_component_clause,[],[f20781]) ).
fof(f20784,plain,
~ spl208_1,
inference(avatar_split_clause,[],[f19774,f20781]) ).
fof(f20827,plain,
( ! [X0] :
( k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)) != X0
| ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),X0),k9_relat_1(sK3,k1_tarski(sK1)))
| r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),X0),X0) )
| spl208_1 ),
inference(superposition,[],[f20783,f20224]) ).
fof(f20856,definition,
( spl208_2
<=> v1_relat_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl208_2])],[avatar_definition]) ).
fof(f20858,plain,
( v1_relat_1(sK2)
| ~ spl208_2 ),
inference(avatar_component_clause,[],[f20856]) ).
fof(f20859,plain,
spl208_2,
inference(avatar_split_clause,[],[f19772,f20856]) ).
fof(f20861,definition,
( spl208_3
<=> v1_relat_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl208_3])],[avatar_definition]) ).
fof(f20863,plain,
( v1_relat_1(sK3)
| ~ spl208_3 ),
inference(avatar_component_clause,[],[f20861]) ).
fof(f20864,plain,
spl208_3,
inference(avatar_split_clause,[],[f19773,f20861]) ).
fof(f21040,plain,
( ! [X0] : v1_relat_1(k4_xboole_0(sK2,X0))
| ~ spl208_2 ),
inference(resolution,[],[f20858,f20169]) ).
fof(f22444,definition,
( spl208_22
<=> ! [X0] : v1_relat_1(k4_xboole_0(sK2,X0)) ),
introduced(definition,[new_symbols(definition,[spl208_22])],[avatar_definition]) ).
fof(f22445,plain,
( ! [X0] : v1_relat_1(k4_xboole_0(sK2,X0))
| ~ spl208_22 ),
inference(avatar_component_clause,[],[f22444]) ).
fof(f22446,plain,
( spl208_22
| ~ spl208_2 ),
inference(avatar_split_clause,[],[f21040,f20856,f22444]) ).
fof(f27066,definition,
( spl208_40
<=> ! [X0] :
( k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)) != X0
| ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),X0),k9_relat_1(sK3,k1_tarski(sK1)))
| r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl208_40])],[avatar_definition]) ).
fof(f27067,plain,
( ! [X0] :
( k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)) != X0
| ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),X0),k9_relat_1(sK3,k1_tarski(sK1)))
| r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),X0),X0) )
| ~ spl208_40 ),
inference(avatar_component_clause,[],[f27066]) ).
fof(f27068,plain,
( spl208_40
| spl208_1 ),
inference(avatar_split_clause,[],[f20827,f20781,f27066]) ).
fof(f27103,plain,
( ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK3,k1_tarski(sK1)))
| r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))
| ~ spl208_40 ),
inference(equality_resolution,[],[f27067]) ).
fof(f27115,definition,
( spl208_41
<=> r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))) ),
introduced(definition,[new_symbols(definition,[spl208_41])],[avatar_definition]) ).
fof(f27116,plain,
( ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))
| spl208_41 ),
inference(avatar_component_clause,[],[f27115]) ).
fof(f27117,plain,
( r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))
| ~ spl208_41 ),
inference(avatar_component_clause,[],[f27115]) ).
fof(f27119,definition,
( spl208_42
<=> r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK3,k1_tarski(sK1))) ),
introduced(definition,[new_symbols(definition,[spl208_42])],[avatar_definition]) ).
fof(f27120,plain,
( r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK3,k1_tarski(sK1)))
| ~ spl208_42 ),
inference(avatar_component_clause,[],[f27119]) ).
fof(f27121,plain,
( ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK3,k1_tarski(sK1)))
| spl208_42 ),
inference(avatar_component_clause,[],[f27119]) ).
fof(f27122,plain,
( spl208_41
| ~ spl208_42
| ~ spl208_40 ),
inference(avatar_split_clause,[],[f27103,f27066,f27119,f27115]) ).
fof(f27124,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK3)
| ~ v1_relat_1(sK3)
| spl208_42 ),
inference(resolution,[],[f27121,f19769]) ).
fof(f27277,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK3)
| ~ spl208_3
| spl208_42 ),
inference(forward_subsumption_resolution,[],[f27124,f20863]) ).
fof(f27281,definition,
( spl208_43
<=> r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK3) ),
introduced(definition,[new_symbols(definition,[spl208_43])],[avatar_definition]) ).
fof(f27282,plain,
( r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK3)
| ~ spl208_43 ),
inference(avatar_component_clause,[],[f27281]) ).
fof(f27283,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK3)
| spl208_43 ),
inference(avatar_component_clause,[],[f27281]) ).
fof(f27284,plain,
( ~ spl208_43
| ~ spl208_3
| spl208_42 ),
inference(avatar_split_clause,[],[f27277,f27119,f20861,f27281]) ).
fof(f27286,plain,
( ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK3,k1_tarski(sK1)))
| ~ v1_relat_1(sK3)
| spl208_43 ),
inference(resolution,[],[f27283,f19768]) ).
fof(f27615,plain,
( ~ v1_relat_1(sK3)
| ~ spl208_42
| spl208_43 ),
inference(forward_subsumption_resolution,[],[f27286,f27120]) ).
fof(f27616,plain,
( $false
| ~ spl208_3
| ~ spl208_42
| spl208_43 ),
inference(forward_subsumption_resolution,[],[f27615,f20863]) ).
fof(f27617,plain,
( ~ spl208_3
| ~ spl208_42
| spl208_43 ),
inference(avatar_contradiction_clause,[],[f27616]) ).
fof(f27618,plain,
( k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)) = k4_xboole_0(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)))
| ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK2,k1_tarski(sK1)))
| ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))
| spl208_42 ),
inference(resolution,[],[f27121,f20226]) ).
fof(f27771,plain,
( ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK2,k1_tarski(sK1)))
| ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))
| spl208_1
| spl208_42 ),
inference(forward_subsumption_resolution,[],[f27618,f20783]) ).
fof(f27772,plain,
( ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK2,k1_tarski(sK1)))
| spl208_1
| ~ spl208_41
| spl208_42 ),
inference(forward_subsumption_resolution,[],[f27771,f27117]) ).
fof(f27774,definition,
( spl208_48
<=> r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK2,k1_tarski(sK1))) ),
introduced(definition,[new_symbols(definition,[spl208_48])],[avatar_definition]) ).
fof(f27776,plain,
( ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK2,k1_tarski(sK1)))
| spl208_48 ),
inference(avatar_component_clause,[],[f27774]) ).
fof(f27777,plain,
( ~ spl208_48
| spl208_1
| ~ spl208_41
| spl208_42 ),
inference(avatar_split_clause,[],[f27772,f27119,f27115,f20781,f27774]) ).
fof(f27938,plain,
( r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k4_xboole_0(sK2,sK3))
| ~ v1_relat_1(k4_xboole_0(sK2,sK3))
| ~ spl208_41 ),
inference(resolution,[],[f27117,f19768]) ).
fof(f28141,plain,
( r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k4_xboole_0(sK2,sK3))
| ~ spl208_22
| ~ spl208_41 ),
inference(forward_subsumption_resolution,[],[f27938,f22445]) ).
fof(f28147,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK2)
| ~ v1_relat_1(sK2)
| spl208_48 ),
inference(resolution,[],[f27776,f19769]) ).
fof(f28298,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK2)
| ~ spl208_2
| spl208_48 ),
inference(forward_subsumption_resolution,[],[f28147,f20858]) ).
fof(f28301,definition,
( spl208_49
<=> r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK2) ),
introduced(definition,[new_symbols(definition,[spl208_49])],[avatar_definition]) ).
fof(f28302,plain,
( r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK2)
| ~ spl208_49 ),
inference(avatar_component_clause,[],[f28301]) ).
fof(f28303,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK2)
| spl208_49 ),
inference(avatar_component_clause,[],[f28301]) ).
fof(f28304,plain,
( ~ spl208_49
| ~ spl208_2
| spl208_48 ),
inference(avatar_split_clause,[],[f28298,f27774,f20856,f28301]) ).
fof(f28329,plain,
( ! [X0] : ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k4_xboole_0(sK2,X0))
| spl208_49 ),
inference(resolution,[],[f28303,f20572]) ).
fof(f28451,plain,
( $false
| ~ spl208_22
| ~ spl208_41
| spl208_49 ),
inference(backward_subsumption_resolution,[],[f28141,f28329]) ).
fof(f28452,plain,
( ~ spl208_22
| ~ spl208_41
| spl208_49 ),
inference(avatar_contradiction_clause,[],[f28451]) ).
fof(f28741,plain,
( ! [X0] : ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k4_xboole_0(X0,sK3))
| ~ spl208_43 ),
inference(resolution,[],[f27282,f20573]) ).
fof(f28860,plain,
( $false
| ~ spl208_22
| ~ spl208_41
| ~ spl208_43 ),
inference(backward_subsumption_resolution,[],[f28141,f28741]) ).
fof(f28861,plain,
( ~ spl208_22
| ~ spl208_41
| ~ spl208_43 ),
inference(avatar_contradiction_clause,[],[f28860]) ).
fof(f29199,plain,
( k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)) = k4_xboole_0(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)))
| r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK2,k1_tarski(sK1)))
| spl208_41 ),
inference(resolution,[],[f27116,f20225]) ).
fof(f29200,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k4_xboole_0(sK2,sK3))
| ~ v1_relat_1(k4_xboole_0(sK2,sK3))
| spl208_41 ),
inference(resolution,[],[f27116,f19769]) ).
fof(f29353,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k4_xboole_0(sK2,sK3))
| ~ spl208_22
| spl208_41 ),
inference(forward_subsumption_resolution,[],[f29200,f22445]) ).
fof(f29354,plain,
( r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK2,k1_tarski(sK1)))
| spl208_1
| spl208_41 ),
inference(forward_subsumption_resolution,[],[f29199,f20783]) ).
fof(f29357,plain,
( ~ r2_hidden(sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1))),k9_relat_1(sK2,k1_tarski(sK1)))
| ~ v1_relat_1(sK2)
| spl208_49 ),
inference(resolution,[],[f28303,f19768]) ).
fof(f29507,plain,
( ~ v1_relat_1(sK2)
| spl208_1
| spl208_41
| spl208_49 ),
inference(forward_subsumption_resolution,[],[f29357,f29354]) ).
fof(f29509,plain,
( $false
| spl208_1
| ~ spl208_2
| spl208_41
| spl208_49 ),
inference(forward_subsumption_resolution,[],[f29507,f20858]) ).
fof(f29510,plain,
( spl208_1
| ~ spl208_2
| spl208_41
| spl208_49 ),
inference(avatar_contradiction_clause,[],[f29509]) ).
fof(f29585,plain,
( ! [X0] : r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k2_xboole_0(sK2,X0))
| ~ spl208_49 ),
inference(resolution,[],[f28302,f20566]) ).
fof(f29737,definition,
( spl208_50
<=> r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k4_xboole_0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl208_50])],[avatar_definition]) ).
fof(f29739,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k4_xboole_0(sK2,sK3))
| spl208_50 ),
inference(avatar_component_clause,[],[f29737]) ).
fof(f29740,plain,
( ~ spl208_50
| ~ spl208_22
| spl208_41 ),
inference(avatar_split_clause,[],[f29353,f27115,f22444,f29737]) ).
fof(f29745,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k2_xboole_0(sK2,sK3))
| r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK3)
| sP162(sK3,sK2)
| spl208_50 ),
inference(resolution,[],[f29739,f20668]) ).
fof(f29746,plain,
( ~ r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),k2_xboole_0(sK2,sK3))
| r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK3)
| ~ sP162(sK3,sK2)
| spl208_50 ),
inference(resolution,[],[f29739,f20669]) ).
fof(f29942,plain,
( r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK3)
| ~ sP162(sK3,sK2)
| ~ spl208_49
| spl208_50 ),
inference(forward_subsumption_resolution,[],[f29746,f29585]) ).
fof(f29943,plain,
( r2_hidden(k4_tarski(sK1,sK55(k9_relat_1(sK2,k1_tarski(sK1)),k9_relat_1(sK3,k1_tarski(sK1)),k9_relat_1(k4_xboole_0(sK2,sK3),k1_tarski(sK1)))),sK3)
| sP162(sK3,sK2)
| ~ spl208_49
| spl208_50 ),
inference(forward_subsumption_resolution,[],[f29745,f29585]) ).
fof(f29966,plain,
( ~ sP162(sK3,sK2)
| spl208_43
| ~ spl208_49
| spl208_50 ),
inference(forward_subsumption_resolution,[],[f29942,f27283]) ).
fof(f29967,plain,
( sP162(sK3,sK2)
| spl208_43
| ~ spl208_49
| spl208_50 ),
inference(forward_subsumption_resolution,[],[f29943,f27283]) ).
fof(f30001,plain,
( $false
| spl208_43
| ~ spl208_49
| spl208_50 ),
inference(forward_subsumption_resolution,[],[f29967,f29966]) ).
fof(f30002,plain,
( spl208_43
| ~ spl208_49
| spl208_50 ),
inference(avatar_contradiction_clause,[],[f30001]) ).
cnf(s1,plain,
~ spl208_1,
inference(sat_conversion,[],[f20784]) ).
cnf(s2,plain,
spl208_2,
inference(sat_conversion,[],[f20859]) ).
cnf(s3,plain,
spl208_3,
inference(sat_conversion,[],[f20864]) ).
cnf(s22,plain,
( ~ spl208_2
| spl208_22 ),
inference(sat_conversion,[],[f22446]) ).
cnf(s40,plain,
( spl208_1
| spl208_40 ),
inference(sat_conversion,[],[f27068]) ).
cnf(s41,plain,
( ~ spl208_40
| spl208_41
| ~ spl208_42 ),
inference(sat_conversion,[],[f27122]) ).
cnf(s42,plain,
( ~ spl208_3
| spl208_42
| ~ spl208_43 ),
inference(sat_conversion,[],[f27284]) ).
cnf(s46,plain,
( ~ spl208_3
| ~ spl208_42
| spl208_43 ),
inference(sat_conversion,[],[f27617]) ).
cnf(s47,plain,
( spl208_1
| ~ spl208_41
| spl208_42
| ~ spl208_48 ),
inference(sat_conversion,[],[f27777]) ).
cnf(s48,plain,
( ~ spl208_2
| spl208_48
| ~ spl208_49 ),
inference(sat_conversion,[],[f28304]) ).
cnf(s49,plain,
( ~ spl208_22
| ~ spl208_41
| spl208_49 ),
inference(sat_conversion,[],[f28452]) ).
cnf(s50,plain,
( ~ spl208_22
| ~ spl208_41
| ~ spl208_43 ),
inference(sat_conversion,[],[f28861]) ).
cnf(s55,plain,
( spl208_1
| ~ spl208_2
| spl208_41
| spl208_49 ),
inference(sat_conversion,[],[f29510]) ).
cnf(s56,plain,
( ~ spl208_22
| spl208_41
| ~ spl208_50 ),
inference(sat_conversion,[],[f29740]) ).
cnf(s73,plain,
( spl208_43
| ~ spl208_49
| spl208_50 ),
inference(sat_conversion,[],[f30002]) ).
cnf(s94,plain,
spl208_22,
inference(rat,[],[s22,s2]) ).
cnf(s108,plain,
spl208_40,
inference(rat,[],[s40,s1]) ).
cnf(s111,plain,
spl208_41,
inference(rat,[],[s73,s42,s55,s41,s56,s3,s2,s1,s108,s94]) ).
cnf(s112,plain,
~ spl208_43,
inference(rat,[],[s50,s94,s111]) ).
cnf(s113,plain,
spl208_49,
inference(rat,[],[s49,s94,s111]) ).
cnf(s114,plain,
~ spl208_42,
inference(rat,[],[s46,s3,s112]) ).
cnf(s116,plain,
spl208_48,
inference(rat,[],[s48,s2,s113]) ).
cnf(s118,plain,
$false,
inference(rat,[],[s47,s111,s1,s116,s114]) ).
fof(f30006,plain,
$false,
inference(avatar_sat_refutation,[],[s118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU419+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n004.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 28 05:17:25 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.26/3.89 % (12713)Detected formulas, will run a generic FOF schedule.
% 14.26/3.89 % (12724)dis-21_1_sil=8000:lcm=predicate:random_seed=2294880428:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 14.26/3.89 % (12718)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2788397735:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 14.26/3.89 % (12719)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=574747014:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 14.26/3.89 % (12720)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4015068278:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 14.26/3.89 % (12722)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2646073588:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 14.26/3.89 % (12721)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3435922000:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 14.26/3.89 % (12723)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4137155926:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 14.26/3.89 % (12724)Instruction limit reached!
% 14.26/3.89 % (12724)------------------------------
% 14.26/3.89 % (12724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/3.89 % (12724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/3.89 % (12724)CaDiCaL version: 2.1.3
% 14.26/3.89 % (12724)Termination reason: Instruction limit
% 14.26/3.89 % (12724)Termination phase: SInE selection
% 14.26/3.89 % (12724)Time elapsed: 0.053 s
% 14.26/3.89 % (12724)Peak memory usage: 113 MB
% 14.26/3.89 % (12724)Instructions burned: 129 (million)
% 14.26/3.89 % (12723)Instruction limit reached!
% 14.26/3.89 % (12723)------------------------------
% 14.26/3.89 % (12723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/3.89 % (12723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/3.89 % (12723)CaDiCaL version: 2.1.3
% 14.26/3.89 % (12723)Termination reason: Instruction limit
% 14.26/3.89 % (12723)Termination phase: Property scanning
% 14.26/3.89 % (12723)Time elapsed: 0.059 s
% 14.26/3.89 % (12723)Peak memory usage: 112 MB
% 14.26/3.89 % (12723)Instructions burned: 141 (million)
% 14.26/3.89 % (12721)Instruction limit reached!
% 14.26/3.89 % (12721)------------------------------
% 14.26/3.89 % (12721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/3.89 % (12721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/3.89 % (12721)CaDiCaL version: 2.1.3
% 14.26/3.89 % (12721)Termination reason: Instruction limit
% 14.26/3.89 % (12721)Termination phase: SInE selection
% 14.26/3.89 % (12721)Time elapsed: 0.083 s
% 14.26/3.89 % (12721)Peak memory usage: 112 MB
% 14.26/3.89 % (12721)Instructions burned: 109 (million)
% 14.26/3.89 % (12722)Instruction limit reached!
% 14.26/3.89 % (12722)------------------------------
% 14.26/3.89 % (12722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/3.89 % (12722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/3.89 % (12722)CaDiCaL version: 2.1.3
% 14.26/3.89 % (12722)Termination reason: Instruction limit
% 14.26/3.89 % (12722)Termination phase: Unused predicate definition removal
% 14.26/3.89 % (12722)Time elapsed: 0.101 s
% 14.26/3.89 % (12722)Peak memory usage: 113 MB
% 14.26/3.89 % (12722)Instructions burned: 119 (million)
% 14.26/3.89 % (12732)lrs+10_1_sil=8000:sp=occurrence:random_seed=428408159:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 14.26/3.89 % (12733)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2963493599:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 14.26/3.89 % (12734)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3052203452:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 14.26/3.89 % (12735)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1233030319:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 14.26/3.89 % (12732)Instruction limit reached!
% 14.26/3.89 % (12732)------------------------------
% 14.26/3.89 % (12732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12732)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12732)Termination reason: Instruction limit
% 14.96/4.90 % (12732)Termination phase: Saturation
% 14.96/4.90 % (12732)Time elapsed: 0.120 s
% 14.96/4.90 % (12732)Peak memory usage: 119 MB
% 14.96/4.90 % (12732)Instructions burned: 286 (million)
% 14.96/4.90 % (12733)Instruction limit reached!
% 14.96/4.90 % (12733)------------------------------
% 14.96/4.90 % (12733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12733)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12733)Termination reason: Instruction limit
% 14.96/4.90 % (12733)Termination phase: Property scanning
% 14.96/4.90 % (12733)Time elapsed: 0.069 s
% 14.96/4.90 % (12733)Peak memory usage: 112 MB
% 14.96/4.90 % (12733)Instructions burned: 159 (million)
% 14.96/4.90 % (12735)Instruction limit reached!
% 14.96/4.90 % (12735)------------------------------
% 14.96/4.90 % (12735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12735)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12735)Termination reason: Instruction limit
% 14.96/4.90 % (12735)Termination phase: Property scanning
% 14.96/4.90 % (12735)Time elapsed: 0.106 s
% 14.96/4.90 % (12735)Peak memory usage: 112 MB
% 14.96/4.90 % (12735)Instructions burned: 250 (million)
% 14.96/4.90 % (12740)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1986848452:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 14.96/4.90 % (12741)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3612246251:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 14.96/4.90 % (12734)Instruction limit reached!
% 14.96/4.90 % (12734)------------------------------
% 14.96/4.90 % (12734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12734)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12734)Termination reason: Instruction limit
% 14.96/4.90 % (12734)Termination phase: Saturation
% 14.96/4.90 % (12734)Time elapsed: 0.249 s
% 14.96/4.90 % (12734)Peak memory usage: 120 MB
% 14.96/4.90 % (12734)Instructions burned: 326 (million)
% 14.96/4.90 % (12740)Instruction limit reached!
% 14.96/4.90 % (12740)------------------------------
% 14.96/4.90 % (12740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12740)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12740)Termination reason: Instruction limit
% 14.96/4.90 % (12740)Termination phase: Property scanning
% 14.96/4.90 % (12740)Time elapsed: 0.123 s
% 14.96/4.90 % (12740)Peak memory usage: 119 MB
% 14.96/4.90 % (12740)Instructions burned: 297 (million)
% 14.96/4.90 % (12742)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2623671443:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 14.96/4.90 % (12742)Instruction limit reached!
% 14.96/4.90 % (12742)------------------------------
% 14.96/4.90 % (12742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12742)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12742)Termination reason: Instruction limit
% 14.96/4.90 % (12742)Termination phase: SInE selection
% 14.96/4.90 % (12742)Time elapsed: 0.093 s
% 14.96/4.90 % (12742)Peak memory usage: 112 MB
% 14.96/4.90 % (12742)Instructions burned: 114 (million)
% 14.96/4.90 % (12746)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1954378118:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 14.96/4.90 % (12745)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2999225687:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 14.96/4.90 % (12746)Instruction limit reached!
% 14.96/4.90 % (12746)------------------------------
% 14.96/4.90 % (12746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12746)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12746)Termination reason: Instruction limit
% 14.96/4.90 % (12746)Termination phase: Property scanning
% 14.96/4.90 % (12746)Time elapsed: 0.028 s
% 14.96/4.90 % (12746)Peak memory usage: 112 MB
% 14.96/4.90 % (12746)Instructions burned: 119 (million)
% 14.96/4.90 % (12745)Instruction limit reached!
% 14.96/4.90 % (12745)------------------------------
% 14.96/4.90 % (12745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12745)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12745)Termination reason: Instruction limit
% 14.96/4.90 % (12745)Termination phase: Preprocessing 1
% 14.96/4.90 % (12745)Time elapsed: 0.092 s
% 14.96/4.90 % (12745)Peak memory usage: 113 MB
% 14.96/4.90 % (12745)Instructions burned: 127 (million)
% 14.96/4.90 % (12748)lrs+10_1_sil=8000:sp=occurrence:random_seed=1120992076:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 14.96/4.90 % (12751)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3082364409:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 14.96/4.90 % (12752)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4154679860:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 14.96/4.90 % (12751)Instruction limit reached!
% 14.96/4.90 % (12751)------------------------------
% 14.96/4.90 % (12751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12751)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12751)Termination reason: Instruction limit
% 14.96/4.90 % (12751)Termination phase: Saturation
% 14.96/4.90 % (12751)Time elapsed: 0.173 s
% 14.96/4.90 % (12751)Peak memory usage: 120 MB
% 14.96/4.90 % (12751)Instructions burned: 439 (million)
% 14.96/4.90 % (12756)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1706222940:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 14.96/4.90 % (12756)Instruction limit reached!
% 14.96/4.90 % (12756)------------------------------
% 14.96/4.90 % (12756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12756)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12756)Termination reason: Instruction limit
% 14.96/4.90 % (12756)Termination phase: NewCNF
% 14.96/4.90 % (12756)Time elapsed: 0.070 s
% 14.96/4.90 % (12756)Peak memory usage: 115 MB
% 14.96/4.90 % (12756)Instructions burned: 134 (million)
% 14.96/4.90 % (12758)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1230671425:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 14.96/4.90 % (12748)Instruction limit reached!
% 14.96/4.90 % (12748)------------------------------
% 14.96/4.90 % (12748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12748)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12748)Termination reason: Instruction limit
% 14.96/4.90 % (12748)Termination phase: Saturation
% 14.96/4.90 % (12748)Time elapsed: 0.632 s
% 14.96/4.90 % (12748)Peak memory usage: 129 MB
% 14.96/4.90 % (12748)Instructions burned: 908 (million)
% 14.96/4.90 % (12760)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1891543679:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 14.96/4.90 % (12758)Instruction limit reached!
% 14.96/4.90 % (12758)------------------------------
% 14.96/4.90 % (12758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12758)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12758)Termination reason: Instruction limit
% 14.96/4.90 % (12758)Termination phase: Preprocessing 3
% 14.96/4.90 % (12758)Time elapsed: 0.279 s
% 14.96/4.90 % (12758)Peak memory usage: 135 MB
% 14.96/4.90 % (12758)Instructions burned: 594 (million)
% 14.96/4.90 % (12762)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2840896547:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 14.96/4.90 % (12741)Instruction limit reached!
% 14.96/4.90 % (12741)------------------------------
% 14.96/4.90 % (12741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12741)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12741)Termination reason: Instruction limit
% 14.96/4.90 % (12741)Termination phase: Property scanning
% 14.96/4.90 % (12741)Time elapsed: 1.283 s
% 14.96/4.90 % (12741)Peak memory usage: 171 MB
% 14.96/4.90 % (12741)Instructions burned: 2352 (million)
% 14.96/4.90 % (12762)Instruction limit reached!
% 14.96/4.90 % (12762)------------------------------
% 14.96/4.90 % (12762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12762)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12762)Termination reason: Instruction limit
% 14.96/4.90 % (12762)Termination phase: Property scanning
% 14.96/4.90 % (12762)Time elapsed: 0.030 s
% 14.96/4.90 % (12762)Peak memory usage: 112 MB
% 14.96/4.90 % (12762)Instructions burned: 128 (million)
% 14.96/4.90 % (12764)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3253327040:i=134:gtgl=5:slsql=off:gtg=exists_sym_2969 on theBenchmark for (2969ds/134Mi)
% 14.96/4.90 % (12765)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1318449857:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 14.96/4.90 % (12764)Instruction limit reached!
% 14.96/4.90 % (12764)------------------------------
% 14.96/4.90 % (12764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12764)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12764)Termination reason: Instruction limit
% 14.96/4.90 % (12764)Termination phase: Property scanning
% 14.96/4.90 % (12764)Time elapsed: 0.057 s
% 14.96/4.90 % (12764)Peak memory usage: 112 MB
% 14.96/4.90 % (12764)Instructions burned: 135 (million)
% 14.96/4.90 % (12765)Instruction limit reached!
% 14.96/4.90 % (12765)------------------------------
% 14.96/4.90 % (12765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12765)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12765)Termination reason: Instruction limit
% 14.96/4.90 % (12765)Termination phase: Saturation
% 14.96/4.90 % (12765)Time elapsed: 0.118 s
% 14.96/4.90 % (12765)Peak memory usage: 117 MB
% 14.96/4.90 % (12765)Instructions burned: 141 (million)
% 14.96/4.90 % (12768)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1442785974:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/431Mi)
% 14.96/4.90 % (12769)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1146368979:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 14.96/4.90 % (12768)Instruction limit reached!
% 14.96/4.90 % (12768)------------------------------
% 14.96/4.90 % (12768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12768)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12768)Termination reason: Instruction limit
% 14.96/4.90 % (12768)Termination phase: Saturation
% 14.96/4.90 % (12768)Time elapsed: 0.287 s
% 14.96/4.90 % (12768)Peak memory usage: 120 MB
% 14.96/4.90 % (12768)Instructions burned: 431 (million)
% 14.96/4.90 % (12720)First to succeed.
% 14.96/4.90 % (12720)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12713"
% 14.96/4.90 % (12772)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=257851863:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2962 on theBenchmark for (2962ds/150Mi)
% 14.96/4.90 % (12772)Instruction limit reached!
% 14.96/4.90 % (12772)------------------------------
% 14.96/4.90 % (12772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/4.90 % (12772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/4.90 % (12772)CaDiCaL version: 2.1.3
% 14.96/4.90 % (12772)Termination reason: Instruction limit
% 14.96/4.90 % (12772)Termination phase: Preprocessing 1
% 14.96/4.90 % (12772)Time elapsed: 0.120 s
% 14.96/4.90 % (12772)Peak memory usage: 113 MB
% 14.96/4.90 % (12772)Instructions burned: 150 (million)
% 14.96/4.90 % (12720)Refutation found. Thanks to Tanya!
% 14.96/4.90 % SZS status Theorem for theBenchmark
% 14.96/4.90 % SZS output start Proof for theBenchmark
% See solution above
% 22.34/5.11 % (12720)------------------------------
% 22.34/5.11 % (12720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.34/5.11 % (12720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.34/5.11 % (12720)CaDiCaL version: 2.1.3
% 22.34/5.11 % (12720)Termination reason: Refutation
% 22.34/5.11 % (12720)Time elapsed: 2.457 s
% 22.34/5.11 % (12720)Peak memory usage: 188 MB
% 22.34/5.11 % (12720)Instructions burned: 4020 (million)
% 22.34/5.11 % (12720)------------------------------
% 22.34/5.11 % (12720)------------------------------
% 22.34/5.11 % (12713)Success in time 4.029 s
% 22.34/5.11 % Vampire exiting
%------------------------------------------------------------------------------