%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU419+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:53:13 PM UTC 2026
% Result : Theorem 42.66s 6.55s
% Output : Refutation 42.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 14
% Syntax : Number of formulae : 108 ( 25 unt; 6 def)
% Number of atoms : 313 ( 41 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 347 ( 142 ~; 153 |; 38 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 167 ( 159 !; 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/sandbox2/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(f5,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f85,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f5]) ).
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(f183,plain,
( v1_relat_1(sF11)
| ~ v1_relat_1(sK1)
| ~ v1_relat_1(sK2) ),
inference(superposition,[],[f104,f139]) ).
fof(f185,plain,
( v1_relat_1(sF11)
| ~ v1_relat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f183,f80]) ).
fof(f186,plain,
v1_relat_1(sF11),
inference(forward_subsumption_resolution,[],[f185,f81]) ).
fof(f203,plain,
! [X0] :
( ~ r2_hidden(X0,sF11)
| r2_hidden(X0,sK1) ),
inference(superposition,[],[f136,f139]) ).
fof(f204,plain,
! [X0] :
( ~ r2_hidden(X0,sF16)
| r2_hidden(X0,sF14) ),
inference(superposition,[],[f136,f149]) ).
fof(f208,plain,
! [X0] :
( ~ r2_hidden(X0,sF11)
| ~ r2_hidden(X0,sK2) ),
inference(superposition,[],[f137,f139]) ).
fof(f209,plain,
! [X0] :
( ~ r2_hidden(X0,sF16)
| ~ r2_hidden(X0,sF15) ),
inference(superposition,[],[f137,f149]) ).
fof(f242,plain,
! [X0] :
( r2_hidden(sK3(sF16,X0),sF14)
| r1_tarski(sF16,X0) ),
inference(resolution,[],[f204,f90]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK3(X0,k4_xboole_0(X1,X2)),X1)
| r2_hidden(sK3(X0,k4_xboole_0(X1,X2)),X2)
| r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(resolution,[],[f135,f91]) ).
fof(f252,plain,
! [X0] :
( ~ r2_hidden(X0,sK1)
| r2_hidden(X0,sF11)
| r2_hidden(X0,sK2) ),
inference(superposition,[],[f135,f139]) ).
fof(f259,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(f262,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),X1)
| r2_hidden(X0,k9_relat_1(X1,sF12))
| ~ v1_relat_1(X1) ),
inference(forward_demodulation,[],[f259,f85]) ).
fof(f278,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sF11,k1_tarski(X1)))
| ~ v1_relat_1(sF11)
| r2_hidden(k2_tarski(k2_tarski(X1,X0),k1_tarski(X1)),sK1) ),
inference(resolution,[],[f132,f203]) ).
fof(f282,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(f286,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),X1)
| ~ r2_hidden(X0,k9_relat_1(X1,sF12))
| ~ v1_relat_1(X1) ),
inference(forward_demodulation,[],[f282,f85]) ).
fof(f290,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(sF11,k1_tarski(X1)))
| r2_hidden(k2_tarski(k2_tarski(X1,X0),k1_tarski(X1)),sK1) ),
inference(forward_subsumption_resolution,[],[f278,f186]) ).
fof(f299,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X0)),sK1)
| ~ r2_hidden(X0,k9_relat_1(sF11,k1_tarski(X1))) ),
inference(forward_demodulation,[],[f290,f85]) ).
fof(f304,plain,
! [X0] :
( r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK1)
| ~ r2_hidden(X0,k9_relat_1(sF11,sF12)) ),
inference(superposition,[],[f299,f141]) ).
fof(f307,plain,
! [X0] :
( r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK1)
| ~ r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f304,f143]) ).
fof(f352,plain,
! [X0] :
( ~ r2_hidden(sK3(sF16,X0),sF15)
| r1_tarski(sF16,X0) ),
inference(resolution,[],[f209,f90]) ).
fof(f670,plain,
! [X0] :
( r2_hidden(X0,k9_relat_1(sK1,sF12))
| ~ v1_relat_1(sK1)
| ~ r2_hidden(X0,sF13) ),
inference(resolution,[],[f262,f307]) ).
fof(f677,plain,
! [X0] :
( r2_hidden(X0,k9_relat_1(sK1,sF12))
| ~ r2_hidden(X0,sF13) ),
inference(forward_subsumption_resolution,[],[f670,f80]) ).
fof(f679,plain,
! [X0] :
( ~ r2_hidden(X0,sF13)
| r2_hidden(X0,sF14) ),
inference(forward_demodulation,[],[f677,f145]) ).
fof(f681,plain,
! [X0] :
( r2_hidden(sK3(sF13,X0),sF14)
| r1_tarski(sF13,X0) ),
inference(resolution,[],[f679,f90]) ).
fof(f704,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sK1,sF12))
| ~ v1_relat_1(sK1)
| r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sF11)
| r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK2) ),
inference(resolution,[],[f286,f252]) ).
fof(f709,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sF11,sF12))
| ~ v1_relat_1(sF11)
| ~ r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK2) ),
inference(resolution,[],[f286,f208]) ).
fof(f720,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sF11,sF12))
| ~ r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK2) ),
inference(forward_subsumption_resolution,[],[f709,f186]) ).
fof(f721,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sK1,sF12))
| r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sF11)
| r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK2) ),
inference(forward_subsumption_resolution,[],[f704,f80]) ).
fof(f728,plain,
! [X0] :
( ~ r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK2)
| ~ r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f720,f143]) ).
fof(f729,plain,
! [X0] :
( r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sF11)
| ~ r2_hidden(X0,sF14)
| r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK2) ),
inference(forward_demodulation,[],[f721,f145]) ).
fof(f925,plain,
! [X0] :
( ~ r2_hidden(sK3(X0,sF16),sF14)
| r2_hidden(sK3(X0,sF16),sF15)
| r1_tarski(X0,sF16) ),
inference(superposition,[],[f249,f149]) ).
fof(f1253,plain,
! [X0] :
( ~ r2_hidden(X0,sF13)
| ~ r2_hidden(X0,k9_relat_1(sK2,sF12))
| ~ v1_relat_1(sK2) ),
inference(resolution,[],[f728,f286]) ).
fof(f1256,plain,
! [X0] :
( ~ r2_hidden(X0,sF13)
| ~ r2_hidden(X0,k9_relat_1(sK2,sF12)) ),
inference(forward_subsumption_resolution,[],[f1253,f81]) ).
fof(f1257,plain,
! [X0] :
( ~ r2_hidden(X0,sF15)
| ~ r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f1256,f147]) ).
fof(f1293,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK2)
| r2_hidden(X0,k9_relat_1(sF11,sF12))
| ~ v1_relat_1(sF11) ),
inference(resolution,[],[f729,f262]) ).
fof(f1299,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK2)
| r2_hidden(X0,k9_relat_1(sF11,sF12)) ),
inference(forward_subsumption_resolution,[],[f1293,f186]) ).
fof(f1300,plain,
! [X0] :
( r2_hidden(k2_tarski(sF12,k2_tarski(sK0,X0)),sK2)
| ~ r2_hidden(X0,sF14)
| r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f1299,f143]) ).
fof(f3011,plain,
( r2_hidden(sK3(sF13,sF16),sF15)
| r1_tarski(sF13,sF16)
| r1_tarski(sF13,sF16) ),
inference(resolution,[],[f925,f681]) ).
fof(f3020,plain,
( r2_hidden(sK3(sF13,sF16),sF15)
| r1_tarski(sF13,sF16) ),
inference(duplicate_literal_removal,[],[f3011]) ).
fof(f3162,plain,
( r1_tarski(sF13,sF16)
| ~ r2_hidden(sK3(sF13,sF16),sF13) ),
inference(resolution,[],[f3020,f1257]) ).
fof(f3166,plain,
r1_tarski(sF13,sF16),
inference(forward_subsumption_resolution,[],[f3162,f90]) ).
fof(f3178,plain,
( ~ r1_tarski(sF16,sF13)
| sF13 = sF16 ),
inference(resolution,[],[f3166,f88]) ).
fof(f3179,plain,
~ r1_tarski(sF16,sF13),
inference(forward_subsumption_resolution,[],[f3178,f150]) ).
fof(f24733,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,sF13)
| r2_hidden(X0,k9_relat_1(sK2,sF12))
| ~ v1_relat_1(sK2) ),
inference(resolution,[],[f1300,f262]) ).
fof(f24741,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,sF13)
| r2_hidden(X0,k9_relat_1(sK2,sF12)) ),
inference(forward_subsumption_resolution,[],[f24733,f81]) ).
fof(f24743,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,sF15)
| r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f24741,f147]) ).
fof(f26819,plain,
! [X0] :
( r2_hidden(sK3(sF16,X0),sF15)
| r2_hidden(sK3(sF16,X0),sF13)
| r1_tarski(sF16,X0) ),
inference(resolution,[],[f24743,f242]) ).
fof(f26921,plain,
! [X0] :
( r2_hidden(sK3(sF16,X0),sF13)
| r1_tarski(sF16,X0) ),
inference(forward_subsumption_resolution,[],[f26819,f352]) ).
fof(f28127,plain,
( r1_tarski(sF16,sF13)
| r1_tarski(sF16,sF13) ),
inference(resolution,[],[f26921,f91]) ).
fof(f28135,plain,
r1_tarski(sF16,sF13),
inference(duplicate_literal_removal,[],[f28127]) ).
fof(f28136,plain,
$false,
inference(forward_subsumption_resolution,[],[f28135,f3179]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 05:18:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.79/2.95 % (4044618)Will run a generic schedule for satisfiability detection.
% 16.79/2.95 % (4044623)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2962941561_2999 on theBenchmark for (2999ds/0Mi)
% 16.79/2.95 % TRYING [1]
% 16.79/2.95 % TRYING [2]
% 16.79/2.95 % TRYING [3]
% 16.79/2.95 % (4044624)% WARNING: option uhcvi not known.
% 16.79/2.95 % TRYING [4]
% 16.79/2.95 % (4044627)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=149546890:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.79/2.95 % (4044624)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3499279765:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.79/2.95 % (4044625)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1826300557:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.79/2.95 % (4044626)dis+10_1_sil=32000:sp=arity:random_seed=437463009:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.79/2.95 % (4044629)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2129310636:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.79/2.95 % (4044628)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1641883676:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.79/2.95 % TRYING [5]
% 16.79/2.95 % TRYING [6]
% 16.79/2.95 % TRYING [7]
% 16.79/2.95 % (4044626)Instruction limit reached!
% 16.79/2.95 % (4044626)------------------------------
% 16.79/2.95 % (4044626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.95 % (4044626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.95 % (4044626)CaDiCaL version: 2.1.3
% 16.79/2.95 % (4044626)Termination reason: Instruction limit
% 16.79/2.95 % (4044626)Termination phase: Saturation
% 16.79/2.95 % (4044626)Time elapsed: 0.067 s
% 16.79/2.95 % (4044626)Peak memory usage: 12 MB
% 16.79/2.95 % (4044626)Instructions burned: 103 (million)
% 16.79/2.95 % (4044627)Instruction limit reached!
% 16.79/2.95 % (4044627)------------------------------
% 16.79/2.95 % (4044627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.95 % (4044627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.95 % (4044627)CaDiCaL version: 2.1.3
% 16.79/2.95 % (4044627)Termination reason: Instruction limit
% 16.79/2.95 % (4044627)Termination phase: Saturation
% 16.79/2.95 % (4044627)Time elapsed: 0.072 s
% 16.79/2.95 % (4044627)Peak memory usage: 12 MB
% 16.79/2.95 % (4044627)Instructions burned: 117 (million)
% 16.79/2.95 % (4044628)Instruction limit reached!
% 16.79/2.95 % (4044628)------------------------------
% 16.79/2.95 % (4044628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.95 % (4044628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.95 % (4044628)CaDiCaL version: 2.1.3
% 16.79/2.95 % (4044628)Termination reason: Instruction limit
% 16.79/2.95 % (4044628)Termination phase: Saturation
% 16.79/2.95 % (4044628)Time elapsed: 0.082 s
% 16.79/2.95 % (4044628)Peak memory usage: 13 MB
% 16.79/2.95 % (4044628)Instructions burned: 135 (million)
% 16.79/2.95 % (4044637)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=494762602:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 16.79/2.95 % (4044638)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=975128440:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.79/2.95 % TRYING [1]
% 16.79/2.95 % TRYING [2]
% 16.79/2.95 % TRYING [3]
% 16.79/2.95 % TRYING [4]
% 16.79/2.95 % (4044639)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1840005696:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.79/2.95 % (4044629)Instruction limit reached!
% 16.79/2.95 % (4044629)------------------------------
% 16.79/2.95 % (4044629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.95 % (4044629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.95 % (4044629)CaDiCaL version: 2.1.3
% 16.79/2.95 % (4044629)Termination reason: Instruction limit
% 16.79/2.95 % (4044629)Termination phase: Saturation
% 16.79/2.95 % (4044629)Time elapsed: 0.104 s
% 16.79/2.95 % (4044629)Peak memory usage: 13 MB
% 16.79/2.95 % (4044629)Instructions burned: 160 (million)
% 16.79/2.95 % TRYING [5]
% 16.79/2.95 % (4044643)ott-21_1_sil=16000:fs=off:random_seed=2283587863:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.79/2.95 % TRYING [6]
% 16.79/2.95 % TRYING [8]
% 16.79/2.95 % (4044638)Instruction limit reached!
% 16.79/2.95 % (4044638)------------------------------
% 16.79/2.95 % (4044638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044638)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044638)Termination reason: Instruction limit
% 42.66/6.55 % (4044638)Termination phase: Saturation
% 42.66/6.55 % (4044638)Time elapsed: 0.085 s
% 42.66/6.55 % (4044638)Peak memory usage: 13 MB
% 42.66/6.55 % (4044638)Instructions burned: 131 (million)
% 42.66/6.55 % TRYING [7]
% 42.66/6.55 % (4044645)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2603559513:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 42.66/6.55 % (4044643)Instruction limit reached!
% 42.66/6.55 % (4044643)------------------------------
% 42.66/6.55 % (4044643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044643)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044643)Termination reason: Instruction limit
% 42.66/6.55 % (4044643)Termination phase: Saturation
% 42.66/6.55 % (4044643)Time elapsed: 0.099 s
% 42.66/6.55 % (4044643)Peak memory usage: 13 MB
% 42.66/6.55 % (4044643)Instructions burned: 182 (million)
% 42.66/6.55 % (4044647)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3055248913:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 42.66/6.55 % TRYING [1]
% 42.66/6.55 % TRYING [2]
% 42.66/6.55 % TRYING [3]
% 42.66/6.55 % TRYING [4]
% 42.66/6.55 % TRYING [5]
% 42.66/6.55 % TRYING [6]
% 42.66/6.55 % TRYING [7]
% 42.66/6.55 % (4044637)Instruction limit reached!
% 42.66/6.55 % (4044637)------------------------------
% 42.66/6.55 % (4044637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044637)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044637)Termination reason: Instruction limit
% 42.66/6.55 % (4044637)Termination phase: Finite model building SAT solving
% 42.66/6.55 % (4044637)Time elapsed: 0.347 s
% 42.66/6.55 % (4044637)Peak memory usage: 27 MB
% 42.66/6.55 % (4044637)Instructions burned: 715 (million)
% 42.66/6.55 % (4044649)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2411836113:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 42.66/6.55 % TRYING [9]
% 42.66/6.55 % (4044639)Instruction limit reached!
% 42.66/6.55 % (4044639)------------------------------
% 42.66/6.55 % (4044639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044639)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044639)Termination reason: Instruction limit
% 42.66/6.55 % (4044639)Termination phase: Saturation
% 42.66/6.55 % (4044639)Time elapsed: 0.387 s
% 42.66/6.55 % (4044639)Peak memory usage: 18 MB
% 42.66/6.55 % (4044639)Instructions burned: 684 (million)
% 42.66/6.55 % (4044651)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2178417338:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 42.66/6.55 % (4044645)Instruction limit reached!
% 42.66/6.55 % (4044645)------------------------------
% 42.66/6.55 % (4044645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044645)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044645)Termination reason: Instruction limit
% 42.66/6.55 % (4044645)Termination phase: Saturation
% 42.66/6.55 % (4044645)Time elapsed: 0.332 s
% 42.66/6.55 % (4044645)Peak memory usage: 14 MB
% 42.66/6.55 % (4044645)Instructions burned: 477 (million)
% 42.66/6.55 % (4044653)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=652160388:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 42.66/6.55 % TRYING [14]
% 42.66/6.55 % (4044647)Instruction limit reached!
% 42.66/6.55 % (4044647)------------------------------
% 42.66/6.55 % (4044647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044647)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044647)Termination reason: Instruction limit
% 42.66/6.55 % (4044647)Termination phase: Finite model building SAT solving
% 42.66/6.55 % (4044647)Time elapsed: 0.335 s
% 42.66/6.55 % (4044647)Peak memory usage: 20 MB
% 42.66/6.55 % (4044647)Instructions burned: 866 (million)
% 42.66/6.55 % (4044655)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=602245944:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 42.66/6.55 % (4044651)Instruction limit reached!
% 42.66/6.55 % (4044651)------------------------------
% 42.66/6.55 % (4044651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044651)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044651)Termination reason: Instruction limit
% 42.66/6.55 % (4044651)Termination phase: Finite model building constraint generation
% 42.66/6.55 % (4044651)Time elapsed: 0.335 s
% 42.66/6.55 % (4044651)Peak memory usage: 80 MB
% 42.66/6.55 % (4044651)Instructions burned: 890 (million)
% 42.66/6.55 % (4044657)fmb+10_1_sil=64000:random_seed=3547889802:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 42.66/6.55 % TRYING [1]
% 42.66/6.55 % TRYING [2]
% 42.66/6.55 % TRYING [3]
% 42.66/6.55 % TRYING [4]
% 42.66/6.55 % (4044653)Instruction limit reached!
% 42.66/6.55 % (4044653)------------------------------
% 42.66/6.55 % (4044653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044653)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044653)Termination reason: Instruction limit
% 42.66/6.55 % (4044653)Termination phase: Saturation
% 42.66/6.55 % (4044653)Time elapsed: 0.354 s
% 42.66/6.55 % (4044653)Peak memory usage: 22 MB
% 42.66/6.55 % (4044653)Instructions burned: 693 (million)
% 42.66/6.55 % TRYING [5]
% 42.66/6.55 % (4044659)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1281970315:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 42.66/6.55 % TRYING [20]
% 42.66/6.55 % TRYING [6]
% 42.66/6.55 % TRYING [7]
% 42.66/6.55 % (4044655)Instruction limit reached!
% 42.66/6.55 % (4044655)------------------------------
% 42.66/6.55 % (4044655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044655)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044655)Termination reason: Instruction limit
% 42.66/6.55 % (4044655)Termination phase: Saturation
% 42.66/6.55 % (4044655)Time elapsed: 0.526 s
% 42.66/6.55 % (4044655)Peak memory usage: 20 MB
% 42.66/6.55 % (4044655)Instructions burned: 880 (million)
% 42.66/6.55 % (4044661)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=883332358:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 42.66/6.55 % TRYING [8]
% 42.66/6.55 % (4044649)Instruction limit reached!
% 42.66/6.55 % (4044649)------------------------------
% 42.66/6.55 % (4044649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044649)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044649)Termination reason: Instruction limit
% 42.66/6.55 % (4044649)Termination phase: Saturation
% 42.66/6.55 % (4044649)Time elapsed: 0.698 s
% 42.66/6.55 % (4044649)Peak memory usage: 19 MB
% 42.66/6.55 % (4044649)Instructions burned: 1179 (million)
% 42.66/6.55 % (4044663)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=212030913:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 42.66/6.55 % TRYING [8]
% 42.66/6.55 % (4044661)Instruction limit reached!
% 42.66/6.55 % (4044661)------------------------------
% 42.66/6.55 % (4044661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044661)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044661)Termination reason: Instruction limit
% 42.66/6.55 % (4044661)Termination phase: Finite model building SAT solving
% 42.66/6.55 % (4044661)Time elapsed: 0.510 s
% 42.66/6.55 % (4044661)Peak memory usage: 42 MB
% 42.66/6.55 % (4044661)Instructions burned: 922 (million)
% 42.66/6.55 % (4044665)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1904719445:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 42.66/6.55 % TRYING [9]
% 42.66/6.55 % TRYING [10]
% 42.66/6.55 % (4044665)Instruction limit reached!
% 42.66/6.55 % (4044665)------------------------------
% 42.66/6.55 % (4044665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044665)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044665)Termination reason: Instruction limit
% 42.66/6.55 % (4044665)Termination phase: Saturation
% 42.66/6.55 % (4044665)Time elapsed: 0.797 s
% 42.66/6.55 % (4044665)Peak memory usage: 28 MB
% 42.66/6.55 % (4044665)Instructions burned: 1472 (million)
% 42.66/6.55 % (4044667)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=540608262:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 42.66/6.55 % TRYING [77]
% 42.66/6.55 % TRYING [10]
% 42.66/6.55 % (4044663)Instruction limit reached!
% 42.66/6.55 % (4044663)------------------------------
% 42.66/6.55 % (4044663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044663)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044663)Termination reason: Instruction limit
% 42.66/6.55 % (4044663)Termination phase: Saturation
% 42.66/6.55 % (4044663)Time elapsed: 2.828 s
% 42.66/6.55 % (4044663)Peak memory usage: 29 MB
% 42.66/6.55 % (4044663)Instructions burned: 5132 (million)
% 42.66/6.55 % (4044669)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1137485824:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 42.66/6.55 % TRYING [16]
% 42.66/6.55 % (4044667)Instruction limit reached!
% 42.66/6.55 % (4044667)------------------------------
% 42.66/6.55 % (4044667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044667)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044667)Termination reason: Instruction limit
% 42.66/6.55 % (4044667)Termination phase: Finite model building constraint generation
% 42.66/6.55 % (4044667)Time elapsed: 2.188 s
% 42.66/6.55 % (4044667)Peak memory usage: 403 MB
% 42.66/6.55 % (4044667)Instructions burned: 6326 (million)
% 42.66/6.55 % (4044671)ott-2_1_sil=16000:newcnf=on:random_seed=1220543171:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2952 on theBenchmark for (2952ds/869Mi)
% 42.66/6.55 % (4044669)Instruction limit reached!
% 42.66/6.55 % (4044669)------------------------------
% 42.66/6.55 % (4044669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044669)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044669)Termination reason: Instruction limit
% 42.66/6.55 % (4044669)Termination phase: Finite model building constraint generation
% 42.66/6.55 % (4044669)Time elapsed: 0.736 s
% 42.66/6.55 % (4044669)Peak memory usage: 135 MB
% 42.66/6.55 % (4044669)Instructions burned: 2175 (million)
% 42.66/6.55 % (4044673)ott+10_1_sil=32000:tgt=ground:random_seed=4053857765:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 42.66/6.55 % (4044671)Instruction limit reached!
% 42.66/6.55 % (4044671)------------------------------
% 42.66/6.55 % (4044671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044671)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044671)Termination reason: Instruction limit
% 42.66/6.55 % (4044671)Termination phase: Saturation
% 42.66/6.55 % (4044671)Time elapsed: 0.514 s
% 42.66/6.55 % (4044671)Peak memory usage: 17 MB
% 42.66/6.55 % (4044671)Instructions burned: 870 (million)
% 42.66/6.55 % (4044675)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=342111596:i=54282_2946 on theBenchmark for (2946ds/54282Mi)
% 42.66/6.55 % TRYING [1]
% 42.66/6.55 % TRYING [2]
% 42.66/6.55 % TRYING [3]
% 42.66/6.55 % TRYING [4]
% 42.66/6.55 % TRYING [5]
% 42.66/6.55 % TRYING [6]
% 42.66/6.55 % TRYING [7]
% 42.66/6.55 % (4044659)Instruction limit reached!
% 42.66/6.55 % (4044659)------------------------------
% 42.66/6.55 % (4044659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044659)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044659)Termination reason: Instruction limit
% 42.66/6.55 % (4044659)Termination phase: Finite model building constraint generation
% 42.66/6.55 % (4044659)Time elapsed: 4.600 s
% 42.66/6.55 % (4044659)Peak memory usage: 646 MB
% 42.66/6.55 % (4044659)Instructions burned: 9516 (million)
% 42.66/6.55 % TRYING [8]
% 42.66/6.55 % (4044677)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2240646077:i=3512:aac=none_2943 on theBenchmark for (2943ds/3512Mi)
% 42.66/6.55 % (4044673) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4044618-4044673"...
% 42.66/6.55 % (4044673)...printing done.
% 42.66/6.55 % (4044673)Refutation found. Thanks to Tanya!
% 42.66/6.55 % SZS status Theorem for theBenchmark
% 42.66/6.55 % SZS output start Proof for theBenchmark
% See solution above
% 42.66/6.55 % (4044673)------------------------------
% 42.66/6.55 % (4044673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.66/6.55 % (4044673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.55 % (4044673)CaDiCaL version: 2.1.3
% 42.66/6.55 % (4044673)Termination reason: Refutation
% 42.66/6.55 % (4044673)Time elapsed: 1.277 s
% 42.66/6.55 % (4044673)Peak memory usage: 32 MB
% 42.66/6.55 % (4044673)Instructions burned: 2181 (million)
% 42.66/6.55 % (4044618)Success in time 6.132 s
% 42.66/6.55 % Vampire exiting
%------------------------------------------------------------------------------