%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU419+1 : 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 : n005.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 5.75s 1.91s
% Output : Refutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 15
% Syntax : Number of formulae : 115 ( 25 unt; 8 def)
% Number of atoms : 325 ( 40 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 355 ( 145 ~; 156 |; 38 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 152 ( 0 sgn 144 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',t12_relset_2) ).
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,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f7,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f8,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(f9,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f22,axiom,
! [X0,X1] :
( ( v1_relat_1(X0)
& v1_relat_1(X1) )
=> v1_relat_1(k4_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_relat_1) ).
fof(f41,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(f45,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,[],[f2]) ).
fof(f48,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f49,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f49]) ).
fof(f61,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,[],[f41]) ).
fof(f62,plain,
( k9_relat_1(k4_xboole_0(sK1,sK2),k1_tarski(sK0)) != k4_xboole_0(k9_relat_1(sK1,k1_tarski(sK0)),k9_relat_1(sK2,k1_tarski(sK0)))
& v1_relat_1(sK2)
& v1_relat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f45]) ).
fof(f63,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f64,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f66,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK3(X0,X1),X1)
& r2_hidden(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f66]) ).
fof(f68,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,[],[f8]) ).
fof(f69,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,[],[f68]) ).
fof(f70,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,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK4(X0,X1,X2),X0)
| r2_hidden(sK4(X0,X1,X2),X1)
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( ( r2_hidden(sK4(X0,X1,X2),X0)
& ~ r2_hidden(sK4(X0,X1,X2),X1) )
| r2_hidden(sK4(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,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f70]) ).
fof(f79,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,[],[f61]) ).
fof(f80,plain,
v1_relat_1(sK1),
inference(cnf_transformation,[],[f62]) ).
fof(f81,plain,
v1_relat_1(sK2),
inference(cnf_transformation,[],[f62]) ).
fof(f82,plain,
k9_relat_1(k4_xboole_0(sK1,sK2),k1_tarski(sK0)) != k4_xboole_0(k9_relat_1(sK1,k1_tarski(sK0)),k9_relat_1(sK2,k1_tarski(sK0))),
inference(cnf_transformation,[],[f62]) ).
fof(f88,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f90,plain,
! [X0,X1] :
( r2_hidden(sK3(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f91,plain,
! [X0,X1] :
( ~ r2_hidden(sK3(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f92,plain,
! [X2,X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f93,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f94,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f98,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f104,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f129,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,[],[f79]) ).
fof(f130,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,[],[f79]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X1,X0),k1_tarski(X1)),X2)
| r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ v1_relat_1(X2) ),
inference(definition_unfolding,[],[f130,f98]) ).
fof(f132,plain,
! [X2,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k1_tarski(X1)),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ v1_relat_1(X2) ),
inference(definition_unfolding,[],[f129,f98]) ).
fof(f135,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f94]) ).
fof(f136,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f93]) ).
fof(f137,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f92]) ).
fof(f138,definition,
sF11 = k4_xboole_0(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f139,plain,
k4_xboole_0(sK1,sK2) = sF11,
inference(reorient_equations,[],[f138]) ).
fof(f140,definition,
sF12 = k1_tarski(sK0),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f141,plain,
k1_tarski(sK0) = sF12,
inference(reorient_equations,[],[f140]) ).
fof(f142,definition,
sF13 = k9_relat_1(sF11,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f143,plain,
k9_relat_1(sF11,sF12) = sF13,
inference(reorient_equations,[],[f142]) ).
fof(f144,definition,
sF14 = k9_relat_1(sK1,sF12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f145,plain,
k9_relat_1(sK1,sF12) = sF14,
inference(reorient_equations,[],[f144]) ).
fof(f146,definition,
sF15 = k9_relat_1(sK2,sF12),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f147,plain,
k9_relat_1(sK2,sF12) = sF15,
inference(reorient_equations,[],[f146]) ).
fof(f148,definition,
sF16 = k4_xboole_0(sF14,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f149,plain,
k4_xboole_0(sF14,sF15) = sF16,
inference(reorient_equations,[],[f148]) ).
fof(f150,plain,
sF13 != sF16,
inference(definition_folding,[],[f82,f149,f147,f141,f145,f141,f143,f141,f139]) ).
fof(f151,plain,
! [X0] :
( ~ r2_hidden(X0,sF11)
| r2_hidden(X0,sK1) ),
inference(superposition,[],[f136,f139]) ).
fof(f152,plain,
! [X0] :
( ~ r2_hidden(X0,sF16)
| r2_hidden(X0,sF14) ),
inference(superposition,[],[f136,f149]) ).
fof(f153,plain,
! [X0] :
( ~ r2_hidden(X0,sF11)
| ~ r2_hidden(X0,sK2) ),
inference(superposition,[],[f137,f139]) ).
fof(f154,plain,
! [X0] :
( ~ r2_hidden(X0,sF16)
| ~ r2_hidden(X0,sF15) ),
inference(superposition,[],[f137,f149]) ).
fof(f157,plain,
! [X0] :
( ~ r2_hidden(X0,sK1)
| r2_hidden(X0,sF11)
| r2_hidden(X0,sK2) ),
inference(superposition,[],[f135,f139]) ).
fof(f158,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,sF16)
| r2_hidden(X0,sF15) ),
inference(superposition,[],[f135,f149]) ).
fof(f159,plain,
( v1_relat_1(sF11)
| ~ v1_relat_1(sK1)
| ~ v1_relat_1(sK2) ),
inference(superposition,[],[f104,f139]) ).
fof(f174,plain,
( v1_relat_1(sF11)
| ~ v1_relat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f159,f80]) ).
fof(f175,plain,
v1_relat_1(sF11),
inference(forward_subsumption_resolution,[],[f174,f81]) ).
fof(f177,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),X1)
| r2_hidden(X0,k9_relat_1(X1,sF12))
| ~ v1_relat_1(X1) ),
inference(superposition,[],[f131,f141]) ).
fof(f188,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),X1)
| ~ r2_hidden(X0,k9_relat_1(X1,sF12))
| ~ v1_relat_1(X1) ),
inference(superposition,[],[f132,f141]) ).
fof(f208,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sK1,sF12))
| ~ v1_relat_1(sK1)
| r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sF11)
| r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sK2) ),
inference(resolution,[],[f188,f157]) ).
fof(f209,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sF11,sF12))
| ~ v1_relat_1(sF11)
| r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sK1) ),
inference(resolution,[],[f188,f151]) ).
fof(f210,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sF11,sF12))
| ~ v1_relat_1(sF11)
| ~ r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sK2) ),
inference(resolution,[],[f188,f153]) ).
fof(f215,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sF11,sF12))
| ~ r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sK2) ),
inference(forward_subsumption_resolution,[],[f210,f175]) ).
fof(f216,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sF11,sF12))
| r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sK1) ),
inference(forward_subsumption_resolution,[],[f209,f175]) ).
fof(f217,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sK1,sF12))
| r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sF11)
| r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sK2) ),
inference(forward_subsumption_resolution,[],[f208,f80]) ).
fof(f218,plain,
! [X0] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sK2)
| ~ r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f215,f143]) ).
fof(f219,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sK1)
| ~ r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f216,f143]) ).
fof(f220,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sK2)
| r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sF11)
| ~ r2_hidden(X0,sF14) ),
inference(forward_demodulation,[],[f217,f145]) ).
fof(f221,plain,
! [X0] :
( ~ r2_hidden(X0,sF13)
| ~ r2_hidden(X0,k9_relat_1(sK2,sF12))
| ~ v1_relat_1(sK2) ),
inference(resolution,[],[f218,f188]) ).
fof(f222,plain,
! [X0] :
( ~ r2_hidden(X0,sF13)
| ~ r2_hidden(X0,k9_relat_1(sK2,sF12)) ),
inference(forward_subsumption_resolution,[],[f221,f81]) ).
fof(f223,plain,
! [X0] :
( ~ r2_hidden(X0,sF15)
| ~ r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f222,f147]) ).
fof(f226,plain,
! [X0] :
( ~ r2_hidden(X0,sF13)
| r2_hidden(X0,k9_relat_1(sK1,sF12))
| ~ v1_relat_1(sK1) ),
inference(resolution,[],[f219,f177]) ).
fof(f229,plain,
! [X0] :
( ~ r2_hidden(X0,sF13)
| r2_hidden(X0,k9_relat_1(sK1,sF12)) ),
inference(forward_subsumption_resolution,[],[f226,f80]) ).
fof(f230,plain,
! [X0] :
( ~ r2_hidden(X0,sF13)
| r2_hidden(X0,sF14) ),
inference(forward_demodulation,[],[f229,f145]) ).
fof(f252,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sF11)
| ~ r2_hidden(X0,sF14)
| r2_hidden(X0,k9_relat_1(sK2,sF12))
| ~ v1_relat_1(sK2) ),
inference(resolution,[],[f220,f177]) ).
fof(f253,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sF11)
| ~ r2_hidden(X0,sF14)
| r2_hidden(X0,k9_relat_1(sK2,sF12)) ),
inference(forward_subsumption_resolution,[],[f252,f81]) ).
fof(f254,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK0,X0),sF12),sF11)
| r2_hidden(X0,sF15)
| ~ r2_hidden(X0,sF14) ),
inference(forward_demodulation,[],[f253,f147]) ).
fof(f255,plain,
! [X0] :
( r2_hidden(X0,sF15)
| ~ r2_hidden(X0,sF14)
| r2_hidden(X0,k9_relat_1(sF11,sF12))
| ~ v1_relat_1(sF11) ),
inference(resolution,[],[f254,f177]) ).
fof(f258,plain,
! [X0] :
( r2_hidden(X0,sF15)
| ~ r2_hidden(X0,sF14)
| r2_hidden(X0,k9_relat_1(sF11,sF12)) ),
inference(forward_subsumption_resolution,[],[f255,f175]) ).
fof(f259,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,sF15)
| r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f258,f143]) ).
fof(f278,plain,
! [X0] :
( r2_hidden(sK3(sF13,X0),sF14)
| r1_tarski(sF13,X0) ),
inference(resolution,[],[f90,f230]) ).
fof(f282,plain,
! [X0] :
( ~ r2_hidden(sK3(sF16,X0),sF15)
| r1_tarski(sF16,X0) ),
inference(resolution,[],[f90,f154]) ).
fof(f283,plain,
! [X0] :
( r2_hidden(sK3(sF16,X0),sF14)
| r1_tarski(sF16,X0) ),
inference(resolution,[],[f90,f152]) ).
fof(f287,plain,
! [X0] :
( r2_hidden(sK3(sF13,X0),sF16)
| r1_tarski(sF13,X0)
| r2_hidden(sK3(sF13,X0),sF15) ),
inference(resolution,[],[f278,f158]) ).
fof(f289,plain,
( r1_tarski(sF13,sF16)
| r2_hidden(sK3(sF13,sF16),sF15)
| r1_tarski(sF13,sF16) ),
inference(resolution,[],[f287,f91]) ).
fof(f292,plain,
( r1_tarski(sF13,sF16)
| r2_hidden(sK3(sF13,sF16),sF15) ),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f294,definition,
( spl17_10
<=> r2_hidden(sK3(sF13,sF16),sF15) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f296,plain,
( r2_hidden(sK3(sF13,sF16),sF15)
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f298,definition,
( spl17_11
<=> r1_tarski(sF13,sF16) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f300,plain,
( r1_tarski(sF13,sF16)
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f301,plain,
( spl17_10
| spl17_11 ),
inference(avatar_split_clause,[],[f292,f298,f294]) ).
fof(f302,plain,
( ~ r2_hidden(sK3(sF13,sF16),sF13)
| ~ spl17_10 ),
inference(resolution,[],[f296,f223]) ).
fof(f303,plain,
( r1_tarski(sF13,sF16)
| ~ spl17_10 ),
inference(resolution,[],[f302,f90]) ).
fof(f304,plain,
( spl17_11
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f303,f294,f298]) ).
fof(f306,plain,
! [X0] :
( r1_tarski(sF16,X0)
| r2_hidden(sK3(sF16,X0),sF15)
| r2_hidden(sK3(sF16,X0),sF13) ),
inference(resolution,[],[f283,f259]) ).
fof(f309,plain,
! [X0] :
( r2_hidden(sK3(sF16,X0),sF13)
| r1_tarski(sF16,X0) ),
inference(forward_subsumption_resolution,[],[f306,f282]) ).
fof(f310,plain,
( r1_tarski(sF16,sF13)
| r1_tarski(sF16,sF13) ),
inference(resolution,[],[f309,f91]) ).
fof(f312,plain,
r1_tarski(sF16,sF13),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f313,plain,
( ~ r1_tarski(sF13,sF16)
| sF13 = sF16 ),
inference(resolution,[],[f312,f88]) ).
fof(f314,plain,
( sF13 = sF16
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f313,f300]) ).
fof(f315,plain,
( $false
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f314,f150]) ).
fof(f316,plain,
~ spl17_11,
inference(avatar_contradiction_clause,[],[f315]) ).
cnf(s7,plain,
( spl17_10
| spl17_11 ),
inference(sat_conversion,[],[f301]) ).
cnf(s8,plain,
( ~ spl17_10
| spl17_11 ),
inference(sat_conversion,[],[f304]) ).
cnf(s9,plain,
~ spl17_11,
inference(sat_conversion,[],[f316]) ).
cnf(s10,plain,
~ spl17_10,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s7,s9,s10]) ).
fof(f317,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU419+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:17:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.75/1.91 % (455478)Detected formulas, will run a generic FOF schedule.
% 5.75/1.91 % (455486)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3956416863:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.75/1.91 % (455486)Refutation not found, incomplete strategy
% 5.75/1.91 % (455486)------------------------------
% 5.75/1.91 % (455486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455486)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455486)Termination reason: Refutation not found, incomplete strategy
% 5.75/1.91 % (455486)Time elapsed: 0.001 s
% 5.75/1.91 % (455486)Peak memory usage: 88 MB
% 5.75/1.91 % (455486)Instructions burned: 1 (million)
% 5.75/1.91 % (455483)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=279315670:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.75/1.91 % (455484)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=1899358521:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.75/1.91 % (455485)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=597889833:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.75/1.91 % (455489)dis-21_1_sil=8000:lcm=predicate:random_seed=1571910582:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.75/1.91 % (455487)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2190816334:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.75/1.91 % (455488)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3222287076:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.75/1.91 % (455489)Instruction limit reached!
% 5.75/1.91 % (455489)------------------------------
% 5.75/1.91 % (455489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455487)Instruction limit reached!
% 5.75/1.91 % (455487)------------------------------
% 5.75/1.91 % (455487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455487)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455489)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455487)Termination reason: Instruction limit
% 5.75/1.91 % (455487)Termination phase: Saturation
% 5.75/1.91 % (455489)Termination reason: Instruction limit
% 5.75/1.91 % (455489)Termination phase: Saturation
% 5.75/1.91 % (455487)Time elapsed: 0.072 s
% 5.75/1.91 % (455489)Time elapsed: 0.072 s
% 5.75/1.91 % (455487)Peak memory usage: 88 MB
% 5.75/1.91 % (455489)Peak memory usage: 88 MB
% 5.75/1.91 % (455487)Instructions burned: 120 (million)
% 5.75/1.91 % (455489)Instructions burned: 131 (million)
% 5.75/1.91 % (455488)Instruction limit reached!
% 5.75/1.91 % (455488)------------------------------
% 5.75/1.91 % (455488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455488)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455488)Termination reason: Instruction limit
% 5.75/1.91 % (455488)Termination phase: Saturation
% 5.75/1.91 % (455488)Time elapsed: 0.098 s
% 5.75/1.91 % (455488)Peak memory usage: 89 MB
% 5.75/1.91 % (455488)Instructions burned: 140 (million)
% 5.75/1.91 % (455486)------------------------------
% 5.75/1.91 % (455486)------------------------------
% 5.75/1.91 % (455498)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2166044067:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.75/1.91 % (455497)lrs+10_1_sil=8000:sp=occurrence:random_seed=1784752909:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.75/1.91 % (455500)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=795944173:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.75/1.91 % (455499)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2900410093:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.75/1.91 % (455498)Instruction limit reached!
% 5.75/1.91 % (455498)------------------------------
% 5.75/1.91 % (455498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455498)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455498)Termination reason: Instruction limit
% 5.75/1.91 % (455498)Termination phase: Saturation
% 5.75/1.91 % (455498)Time elapsed: 0.071 s
% 5.75/1.91 % (455498)Peak memory usage: 91 MB
% 5.75/1.91 % (455498)Instructions burned: 157 (million)
% 5.75/1.91 % (455500)Instruction limit reached!
% 5.75/1.91 % (455500)------------------------------
% 5.75/1.91 % (455500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455500)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455500)Termination reason: Instruction limit
% 5.75/1.91 % (455500)Termination phase: Saturation
% 5.75/1.91 % (455500)Time elapsed: 0.068 s
% 5.75/1.91 % (455500)Peak memory usage: 95 MB
% 5.75/1.91 % (455500)Instructions burned: 250 (million)
% 5.75/1.91 % (455497)Instruction limit reached!
% 5.75/1.91 % (455497)------------------------------
% 5.75/1.91 % (455497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455497)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455497)Termination reason: Instruction limit
% 5.75/1.91 % (455497)Termination phase: Saturation
% 5.75/1.91 % (455497)Time elapsed: 0.172 s
% 5.75/1.91 % (455497)Peak memory usage: 90 MB
% 5.75/1.91 % (455497)Instructions burned: 285 (million)
% 5.75/1.91 % (455505)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3335512044:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.75/1.91 % (455505)Refutation not found, incomplete strategy
% 5.75/1.91 % (455505)------------------------------
% 5.75/1.91 % (455505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455505)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455505)Termination reason: Refutation not found, incomplete strategy
% 5.75/1.91 % (455505)Time elapsed: 0.001 s
% 5.75/1.91 % (455505)Peak memory usage: 88 MB
% 5.75/1.91 % (455505)Instructions burned: 2 (million)
% 5.75/1.91 % (455506)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1996854070:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.75/1.91 % (455499)Instruction limit reached!
% 5.75/1.91 % (455499)------------------------------
% 5.75/1.91 % (455499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455499)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455499)Termination reason: Instruction limit
% 5.75/1.91 % (455499)Termination phase: Saturation
% 5.75/1.91 % (455499)Time elapsed: 0.217 s
% 5.75/1.91 % (455499)Peak memory usage: 91 MB
% 5.75/1.91 % (455499)Instructions burned: 326 (million)
% 5.75/1.91 % (455507)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=929398855:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.75/1.91 % (455505)------------------------------
% 5.75/1.91 % (455505)------------------------------
% 5.75/1.91 % (455483)First to succeed.
% 5.75/1.91 % (455510)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1617034667:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.75/1.91 % (455483)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-455478"
% 5.75/1.91 % (455507)Instruction limit reached!
% 5.75/1.91 % (455507)------------------------------
% 5.75/1.91 % (455507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455507)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455507)Termination reason: Instruction limit
% 5.75/1.91 % (455507)Termination phase: Saturation
% 5.75/1.91 % (455507)Time elapsed: 0.078 s
% 5.75/1.91 % (455507)Peak memory usage: 89 MB
% 5.75/1.91 % (455507)Instructions burned: 113 (million)
% 5.75/1.91 % (455485)Also succeeded, but the first one will report.
% 5.75/1.91 % (455510)Instruction limit reached!
% 5.75/1.91 % (455510)------------------------------
% 5.75/1.91 % (455510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455510)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455510)Termination reason: Instruction limit
% 5.75/1.91 % (455510)Termination phase: Saturation
% 5.75/1.91 % (455510)Time elapsed: 0.065 s
% 5.75/1.91 % (455510)Peak memory usage: 89 MB
% 5.75/1.91 % (455510)Instructions burned: 128 (million)
% 5.75/1.91 % (455512)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3161476974:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.75/1.91 % (455514)lrs+10_1_sil=8000:sp=occurrence:random_seed=1605874118:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 5.75/1.91 % (455512)Instruction limit reached!
% 5.75/1.91 % (455512)------------------------------
% 5.75/1.91 % (455512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455512)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455512)Termination reason: Instruction limit
% 5.75/1.91 % (455512)Termination phase: Saturation
% 5.75/1.91 % (455512)Time elapsed: 0.073 s
% 5.75/1.91 % (455512)Peak memory usage: 89 MB
% 5.75/1.91 % (455512)Instructions burned: 114 (million)
% 5.75/1.91 % (455515)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1395603690:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.75/1.91 % (455515)Refutation not found, incomplete strategy
% 5.75/1.91 % (455515)------------------------------
% 5.75/1.91 % (455515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/1.91 % (455515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.91 % (455515)CaDiCaL version: 2.1.3
% 5.75/1.91 % (455515)Termination reason: Refutation not found, incomplete strategy
% 5.75/1.91 % (455515)Time elapsed: 0.002 s
% 5.75/1.91 % (455515)Peak memory usage: 88 MB
% 5.75/1.91 % (455515)Instructions burned: 2 (million)
% 5.75/1.91 % (455483)Refutation found. Thanks to Tanya!
% 5.75/1.91 % SZS status Theorem for theBenchmark
% 5.75/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 7.98/2.11 % (455483)------------------------------
% 7.98/2.11 % (455483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.11 % (455483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.11 % (455483)CaDiCaL version: 2.1.3
% 7.98/2.11 % (455483)Termination reason: Refutation
% 7.98/2.11 % (455483)Time elapsed: 0.637 s
% 7.98/2.11 % (455483)Peak memory usage: 128 MB
% 7.98/2.11 % (455483)Instructions burned: 944 (million)
% 7.98/2.11 % (455483)------------------------------
% 7.98/2.11 % (455483)------------------------------
% 7.98/2.11 % (455478)Success in time 1.05 s
% 7.98/2.11 % Vampire exiting
%------------------------------------------------------------------------------