%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU420+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 : n003.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 12:48:53 PM UTC 2026
% Result : Theorem 5.16s 1.65s
% Output : Refutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of formulae : 160 ( 29 unt; 17 def)
% Number of atoms : 509 ( 29 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 610 ( 261 ~; 268 |; 49 &)
% ( 25 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 18 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 204 ( 0 sgn 188 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),k3_pua2mss1(X0)),k3_xboole_0(k9_relat_1(X1,k3_pua2mss1(X0)),k9_relat_1(X2,k3_pua2mss1(X0)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),k3_pua2mss1(X0)),k3_xboole_0(k9_relat_1(X1,k3_pua2mss1(X0)),k9_relat_1(X2,k3_pua2mss1(X0)))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f7,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f8,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(f9,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f10,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(f24,axiom,
! [X0,X1] :
( ( v1_relat_1(X0)
& v1_relat_1(X1) )
=> v1_relat_1(k3_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_relat_1) ).
fof(f49,plain,
? [X0,X1] :
( ? [X2] :
( ~ r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),k3_pua2mss1(X0)),k3_xboole_0(k9_relat_1(X1,k3_pua2mss1(X0)),k9_relat_1(X2,k3_pua2mss1(X0))))
& v1_relat_1(X2) )
& v1_relat_1(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f53,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0,X1] :
( v1_relat_1(k3_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f56,plain,
! [X0,X1] :
( v1_relat_1(k3_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f55]) ).
fof(f67,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(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)],[f49]) ).
fof(f68,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) ) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f69,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X5,X3),X0)
& r2_hidden(X5,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ? [X8] :
( r2_hidden(k4_tarski(X8,X6),X0)
& r2_hidden(X8,X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK3(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(sK3(X0,X1,X2),X2) )
& ( ( r2_hidden(k4_tarski(sK4(X0,X1,X2),sK3(X0,X1,X2)),X0)
& r2_hidden(sK4(X0,X1,X2),X1) )
| r2_hidden(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ( r2_hidden(k4_tarski(sK5(X0,X1,X6),X6),X0)
& r2_hidden(sK5(X0,X1,X6),X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X5,sK4(X0,X1,X2)),skolemize(X8,sK5(X0,X1,X6))],[f69]) ).
fof(f71,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,[],[f53]) ).
fof(f72,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,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK6(X0,X1),X1)
& r2_hidden(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK7(X0,X1,X2),X0)
| ~ r2_hidden(sK7(X0,X1,X2),X1)
| ~ r2_hidden(sK7(X0,X1,X2),X2) )
& ( ( r2_hidden(sK7(X0,X1,X2),X0)
& r2_hidden(sK7(X0,X1,X2),X1) )
| r2_hidden(sK7(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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f76]) ).
fof(f86,plain,
v1_relat_1(sK1),
inference(cnf_transformation,[],[f67]) ).
fof(f87,plain,
v1_relat_1(sK2),
inference(cnf_transformation,[],[f67]) ).
fof(f88,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),
inference(cnf_transformation,[],[f67]) ).
fof(f91,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f93,plain,
! [X2,X0,X1,X6] :
( r2_hidden(sK5(X0,X1,X6),X1)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f94,plain,
! [X2,X0,X1,X6] :
( r2_hidden(k4_tarski(sK5(X0,X1,X6),X6),X0)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f95,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f100,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f101,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f102,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f103,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f104,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f108,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f115,plain,
! [X0,X1] :
( v1_relat_1(k3_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f144,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| ~ r2_hidden(X7,X1)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f95,f108]) ).
fof(f145,plain,
! [X2,X0,X1,X6] :
( r2_hidden(k2_tarski(k2_tarski(sK5(X0,X1,X6),X6),k1_tarski(sK5(X0,X1,X6))),X0)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f94,f108]) ).
fof(f146,plain,
! [X0,X1,X6,X7] :
( r2_hidden(X6,k9_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| ~ r2_hidden(X7,X1)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f147,plain,
! [X0,X1,X6] :
( r2_hidden(k2_tarski(k2_tarski(sK5(X0,X1,X6),X6),k1_tarski(sK5(X0,X1,X6))),X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f145]) ).
fof(f148,plain,
! [X0,X1,X6] :
( r2_hidden(sK5(X0,X1,X6),X1)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f93]) ).
fof(f149,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k3_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f104]) ).
fof(f150,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,k3_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f103]) ).
fof(f151,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,k3_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f102]) ).
fof(f155,definition,
( spl16_1
<=> r1_tarski(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f157,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))
| spl16_1 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,plain,
~ spl16_1,
inference(avatar_split_clause,[],[f88,f155]) ).
fof(f160,plain,
( r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)))
| spl16_1 ),
inference(resolution,[],[f157,f100]) ).
fof(f161,plain,
( ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))
| spl16_1 ),
inference(resolution,[],[f157,f101]) ).
fof(f193,definition,
( spl16_2
<=> r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f195,plain,
( r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)))
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f196,plain,
( spl16_2
| spl16_1 ),
inference(avatar_split_clause,[],[f160,f155,f193]) ).
fof(f198,plain,
( r2_hidden(k2_tarski(k2_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))),k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),k3_xboole_0(sK1,sK2))
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| ~ spl16_2 ),
inference(resolution,[],[f195,f147]) ).
fof(f235,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k3_xboole_0(sK1,sK2))
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| ~ spl16_2 ),
inference(forward_demodulation,[],[f198,f91]) ).
fof(f241,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),k3_xboole_0(sK1,sK2))
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| ~ spl16_2 ),
inference(forward_demodulation,[],[f235,f91]) ).
fof(f245,definition,
( spl16_3
<=> r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f247,plain,
( ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))
| spl16_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( ~ spl16_3
| spl16_1 ),
inference(avatar_split_clause,[],[f161,f155,f245]) ).
fof(f249,plain,
( ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK1,k3_pua2mss1(sK0)))
| ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK2,k3_pua2mss1(sK0)))
| spl16_3 ),
inference(resolution,[],[f247,f149]) ).
fof(f285,definition,
( spl16_4
<=> v1_relat_1(sK1) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f287,plain,
( v1_relat_1(sK1)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
spl16_4,
inference(avatar_split_clause,[],[f86,f285]) ).
fof(f294,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(sK1,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X2,X0),k1_tarski(X2)),sK1)
| ~ r2_hidden(X2,X1) )
| ~ spl16_4 ),
inference(resolution,[],[f287,f146]) ).
fof(f298,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),sK1)
| r2_hidden(X0,k9_relat_1(sK1,X1))
| ~ r2_hidden(X2,X1) )
| ~ spl16_4 ),
inference(forward_demodulation,[],[f294,f91]) ).
fof(f304,definition,
( spl16_5
<=> v1_relat_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f306,plain,
( v1_relat_1(sK2)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,plain,
spl16_5,
inference(avatar_split_clause,[],[f87,f304]) ).
fof(f313,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X2,X0),k1_tarski(X2)),sK2)
| ~ r2_hidden(X2,X1) )
| ~ spl16_5 ),
inference(resolution,[],[f306,f146]) ).
fof(f317,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(X2,X1) )
| ~ spl16_5 ),
inference(forward_demodulation,[],[f313,f91]) ).
fof(f323,definition,
( spl16_6
<=> r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK2,k3_pua2mss1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f325,plain,
( ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK2,k3_pua2mss1(sK0)))
| spl16_6 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl16_7
<=> r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK1,k3_pua2mss1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f329,plain,
( ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK1,k3_pua2mss1(sK0)))
| spl16_7 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f330,plain,
( ~ spl16_6
| ~ spl16_7
| spl16_3 ),
inference(avatar_split_clause,[],[f249,f245,f327,f323]) ).
fof(f369,definition,
( spl16_8
<=> ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),sK1)
| r2_hidden(X0,k9_relat_1(sK1,X1))
| ~ r2_hidden(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f370,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),sK1)
| r2_hidden(X0,k9_relat_1(sK1,X1))
| ~ r2_hidden(X2,X1) )
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( spl16_8
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f298,f285,f369]) ).
fof(f373,definition,
( spl16_9
<=> ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f374,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X0)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X1))
| ~ r2_hidden(X2,X1) )
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( spl16_9
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f317,f304,f373]) ).
fof(f415,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK1)
| r2_hidden(X0,k9_relat_1(sK1,X2))
| ~ r2_hidden(X1,X2) )
| ~ spl16_8 ),
inference(superposition,[],[f370,f91]) ).
fof(f421,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(X1,X2) )
| ~ spl16_9 ),
inference(superposition,[],[f374,f91]) ).
fof(f423,definition,
( spl16_12
<=> v1_relat_1(k3_xboole_0(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f424,plain,
( v1_relat_1(k3_xboole_0(sK1,sK2))
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f425,plain,
( ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| spl16_12 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f427,definition,
( spl16_13
<=> r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),k3_xboole_0(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f429,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),k3_xboole_0(sK1,sK2))
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f430,plain,
( ~ spl16_12
| spl16_13
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f241,f193,f427,f423]) ).
fof(f431,plain,
( ~ v1_relat_1(sK1)
| ~ v1_relat_1(sK2)
| spl16_12 ),
inference(resolution,[],[f425,f115]) ).
fof(f436,plain,
( ~ v1_relat_1(sK2)
| ~ spl16_4
| spl16_12 ),
inference(forward_subsumption_resolution,[],[f431,f287]) ).
fof(f437,plain,
( $false
| ~ spl16_4
| ~ spl16_5
| spl16_12 ),
inference(forward_subsumption_resolution,[],[f436,f306]) ).
fof(f438,plain,
( ~ spl16_4
| ~ spl16_5
| spl16_12 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f452,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),sK2)
| ~ spl16_13 ),
inference(resolution,[],[f429,f151]) ).
fof(f453,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),sK1)
| ~ spl16_13 ),
inference(resolution,[],[f429,f150]) ).
fof(f615,definition,
( spl16_16
<=> r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),sK1) ),
introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).
fof(f617,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),sK1)
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f618,plain,
( spl16_16
| ~ spl16_13 ),
inference(avatar_split_clause,[],[f453,f427,f615]) ).
fof(f867,definition,
( spl16_22
<=> r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),sK2) ),
introduced(definition,[new_symbols(definition,[spl16_22])],[avatar_definition]) ).
fof(f869,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))))),k2_tarski(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))))),sK2)
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f870,plain,
( spl16_22
| ~ spl16_13 ),
inference(avatar_split_clause,[],[f452,f427,f867]) ).
fof(f1033,definition,
( spl16_26
<=> ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK1)
| r2_hidden(X0,k9_relat_1(sK1,X2))
| ~ r2_hidden(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_26])],[avatar_definition]) ).
fof(f1034,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK1)
| r2_hidden(X0,k9_relat_1(sK1,X2))
| ~ r2_hidden(X1,X2) )
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1035,plain,
( spl16_26
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f415,f369,f1033]) ).
fof(f1037,plain,
( ! [X0] :
( r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK1,X0))
| ~ r2_hidden(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))),X0) )
| ~ spl16_16
| ~ spl16_26 ),
inference(resolution,[],[f1034,f617]) ).
fof(f1046,definition,
( spl16_27
<=> ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_27])],[avatar_definition]) ).
fof(f1047,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X0,X1)),sK2)
| r2_hidden(X0,k9_relat_1(sK2,X2))
| ~ r2_hidden(X1,X2) )
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1048,plain,
( spl16_27
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f421,f373,f1046]) ).
fof(f1050,plain,
( ! [X0] :
( r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK2,X0))
| ~ r2_hidden(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))),X0) )
| ~ spl16_22
| ~ spl16_27 ),
inference(resolution,[],[f1047,f869]) ).
fof(f1415,definition,
( spl16_41
<=> ! [X0] :
( r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK1,X0))
| ~ r2_hidden(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_41])],[avatar_definition]) ).
fof(f1416,plain,
( ! [X0] :
( ~ r2_hidden(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))),X0)
| r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK1,X0)) )
| ~ spl16_41 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1417,plain,
( spl16_41
| ~ spl16_16
| ~ spl16_26 ),
inference(avatar_split_clause,[],[f1037,f1033,f615,f1415]) ).
fof(f1418,plain,
( r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK1,k3_pua2mss1(sK0)))
| ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)))
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| ~ spl16_41 ),
inference(resolution,[],[f1416,f148]) ).
fof(f1453,plain,
( ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)))
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| spl16_7
| ~ spl16_41 ),
inference(forward_subsumption_resolution,[],[f1418,f329]) ).
fof(f1460,plain,
( ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| ~ spl16_2
| spl16_7
| ~ spl16_41 ),
inference(forward_subsumption_resolution,[],[f1453,f195]) ).
fof(f1464,plain,
( $false
| ~ spl16_2
| spl16_7
| ~ spl16_12
| ~ spl16_41 ),
inference(forward_subsumption_resolution,[],[f1460,f424]) ).
fof(f1465,plain,
( ~ spl16_2
| spl16_7
| ~ spl16_12
| ~ spl16_41 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1945,definition,
( spl16_49
<=> ! [X0] :
( r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK2,X0))
| ~ r2_hidden(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_49])],[avatar_definition]) ).
fof(f1946,plain,
( ! [X0] :
( ~ r2_hidden(sK5(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0),sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))),X0)
| r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK2,X0)) )
| ~ spl16_49 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f1947,plain,
( spl16_49
| ~ spl16_22
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f1050,f1046,f867,f1945]) ).
fof(f1948,plain,
( r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(sK2,k3_pua2mss1(sK0)))
| ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)))
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| ~ spl16_49 ),
inference(resolution,[],[f1946,f148]) ).
fof(f1983,plain,
( ~ r2_hidden(sK6(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)))
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| spl16_6
| ~ spl16_49 ),
inference(forward_subsumption_resolution,[],[f1948,f325]) ).
fof(f1990,plain,
( ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| ~ spl16_2
| spl16_6
| ~ spl16_49 ),
inference(forward_subsumption_resolution,[],[f1983,f195]) ).
fof(f1994,plain,
( $false
| ~ spl16_2
| spl16_6
| ~ spl16_12
| ~ spl16_49 ),
inference(forward_subsumption_resolution,[],[f1990,f424]) ).
fof(f1995,plain,
( ~ spl16_2
| spl16_6
| ~ spl16_12
| ~ spl16_49 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
cnf(s1,plain,
~ spl16_1,
inference(sat_conversion,[],[f158]) ).
cnf(s2,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f196]) ).
cnf(s3,plain,
( spl16_1
| ~ spl16_3 ),
inference(sat_conversion,[],[f248]) ).
cnf(s4,plain,
spl16_4,
inference(sat_conversion,[],[f288]) ).
cnf(s5,plain,
spl16_5,
inference(sat_conversion,[],[f307]) ).
cnf(s6,plain,
( spl16_3
| ~ spl16_6
| ~ spl16_7 ),
inference(sat_conversion,[],[f330]) ).
cnf(s7,plain,
( ~ spl16_4
| spl16_8 ),
inference(sat_conversion,[],[f371]) ).
cnf(s8,plain,
( ~ spl16_5
| spl16_9 ),
inference(sat_conversion,[],[f375]) ).
cnf(s11,plain,
( ~ spl16_2
| ~ spl16_12
| spl16_13 ),
inference(sat_conversion,[],[f430]) ).
cnf(s12,plain,
( ~ spl16_4
| ~ spl16_5
| spl16_12 ),
inference(sat_conversion,[],[f438]) ).
cnf(s15,plain,
( ~ spl16_13
| spl16_16 ),
inference(sat_conversion,[],[f618]) ).
cnf(s21,plain,
( ~ spl16_13
| spl16_22 ),
inference(sat_conversion,[],[f870]) ).
cnf(s25,plain,
( ~ spl16_8
| spl16_26 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s26,plain,
( ~ spl16_9
| spl16_27 ),
inference(sat_conversion,[],[f1048]) ).
cnf(s40,plain,
( ~ spl16_16
| ~ spl16_26
| spl16_41 ),
inference(sat_conversion,[],[f1417]) ).
cnf(s42,plain,
( ~ spl16_2
| spl16_7
| ~ spl16_12
| ~ spl16_41 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s50,plain,
( ~ spl16_22
| ~ spl16_27
| spl16_49 ),
inference(sat_conversion,[],[f1947]) ).
cnf(s52,plain,
( ~ spl16_2
| spl16_6
| ~ spl16_12
| ~ spl16_49 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s55,plain,
spl16_9,
inference(rat,[],[s8,s5]) ).
cnf(s59,plain,
spl16_27,
inference(rat,[],[s26,s55]) ).
cnf(s61,plain,
spl16_12,
inference(rat,[],[s12,s5,s4]) ).
cnf(s63,plain,
spl16_8,
inference(rat,[],[s7,s4]) ).
cnf(s67,plain,
spl16_26,
inference(rat,[],[s25,s63]) ).
cnf(s72,plain,
~ spl16_3,
inference(rat,[],[s3,s1]) ).
cnf(s73,plain,
spl16_2,
inference(rat,[],[s2,s1]) ).
cnf(s78,plain,
spl16_13,
inference(rat,[],[s11,s61,s73]) ).
cnf(s80,plain,
spl16_22,
inference(rat,[],[s21,s78]) ).
cnf(s81,plain,
spl16_16,
inference(rat,[],[s15,s78]) ).
cnf(s84,plain,
spl16_49,
inference(rat,[],[s50,s59,s80]) ).
cnf(s85,plain,
spl16_41,
inference(rat,[],[s40,s67,s81]) ).
cnf(s86,plain,
spl16_6,
inference(rat,[],[s52,s73,s61,s84]) ).
cnf(s89,plain,
spl16_7,
inference(rat,[],[s42,s73,s61,s85]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s6,s72,s89,s86]) ).
fof(f1996,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU420+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.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 05:19:27 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 5.16/1.65 % (1238734)Detected formulas, will run a generic FOF schedule.
% 5.16/1.65 % (1238741)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=2890211017:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.16/1.65 % (1238745)dis-21_1_sil=8000:lcm=predicate:random_seed=3125264635: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)
% 5.16/1.65 % (1238744)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2493690657:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.16/1.65 % (1238742)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1500416483:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.16/1.65 % (1238739)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=1300697358:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.16/1.65 % (1238740)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=1392424707:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.16/1.65 % (1238743)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4120928888:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.16/1.65 % (1238742)Refutation not found, incomplete strategy
% 5.16/1.65 % (1238742)------------------------------
% 5.16/1.65 % (1238742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.65 % (1238742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.65 % (1238742)CaDiCaL version: 2.1.3
% 5.16/1.65 % (1238742)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.65 % (1238742)Time elapsed: 0.002 s
% 5.16/1.65 % (1238742)Peak memory usage: 88 MB
% 5.16/1.65 % (1238742)Instructions burned: 2 (million)
% 5.16/1.65 % (1238743)Instruction limit reached!
% 5.16/1.65 % (1238743)------------------------------
% 5.16/1.65 % (1238743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.65 % (1238743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.65 % (1238743)CaDiCaL version: 2.1.3
% 5.16/1.65 % (1238743)Termination reason: Instruction limit
% 5.16/1.65 % (1238743)Termination phase: Saturation
% 5.16/1.65 % (1238743)Time elapsed: 0.073 s
% 5.16/1.65 % (1238743)Peak memory usage: 89 MB
% 5.16/1.65 % (1238743)Instructions burned: 120 (million)
% 5.16/1.65 % (1238745)Instruction limit reached!
% 5.16/1.65 % (1238745)------------------------------
% 5.16/1.65 % (1238745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.65 % (1238745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.65 % (1238745)CaDiCaL version: 2.1.3
% 5.16/1.65 % (1238745)Termination reason: Instruction limit
% 5.16/1.65 % (1238745)Termination phase: Saturation
% 5.16/1.65 % (1238745)Time elapsed: 0.078 s
% 5.16/1.65 % (1238745)Peak memory usage: 89 MB
% 5.16/1.65 % (1238745)Instructions burned: 130 (million)
% 5.16/1.65 % (1238744)Instruction limit reached!
% 5.16/1.65 % (1238744)------------------------------
% 5.16/1.65 % (1238744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.65 % (1238744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.65 % (1238744)CaDiCaL version: 2.1.3
% 5.16/1.65 % (1238744)Termination reason: Instruction limit
% 5.16/1.65 % (1238744)Termination phase: Saturation
% 5.16/1.65 % (1238744)Time elapsed: 0.093 s
% 5.16/1.65 % (1238744)Peak memory usage: 89 MB
% 5.16/1.65 % (1238744)Instructions burned: 140 (million)
% 5.16/1.65 % (1238753)lrs+10_1_sil=8000:sp=occurrence:random_seed=1241390741:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.16/1.65 % (1238754)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2919288146:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.16/1.65 % (1238742)------------------------------
% 5.16/1.65 % (1238742)------------------------------
% 5.16/1.65 % (1238755)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4093332138:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.16/1.65 % (1238754)Instruction limit reached!
% 5.16/1.65 % (1238754)------------------------------
% 5.16/1.65 % (1238754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.65 % (1238754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.65 % (1238754)CaDiCaL version: 2.1.3
% 5.16/1.65 % (1238754)Termination reason: Instruction limit
% 5.16/1.65 % (1238754)Termination phase: Saturation
% 5.16/1.65 % (1238754)Time elapsed: 0.077 s
% 5.16/1.65 % (1238754)Peak memory usage: 90 MB
% 5.16/1.65 % (1238754)Instructions burned: 158 (million)
% 5.16/1.65 % (1238759)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=1338435915:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.16/1.65 % (1238753)Instruction limit reached!
% 5.16/1.65 % (1238753)------------------------------
% 5.16/1.65 % (1238753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.65 % (1238753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.65 % (1238753)CaDiCaL version: 2.1.3
% 5.16/1.65 % (1238753)Termination reason: Instruction limit
% 5.16/1.65 % (1238753)Termination phase: Saturation
% 5.16/1.65 % (1238753)Time elapsed: 0.172 s
% 5.16/1.65 % (1238753)Peak memory usage: 91 MB
% 5.16/1.65 % (1238753)Instructions burned: 285 (million)
% 5.16/1.65 % (1238741)First to succeed.
% 5.16/1.65 % (1238741)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1238734"
% 5.16/1.65 % (1238755)Instruction limit reached!
% 5.16/1.65 % (1238755)------------------------------
% 5.16/1.65 % (1238755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.65 % (1238755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.65 % (1238755)CaDiCaL version: 2.1.3
% 5.16/1.65 % (1238755)Termination reason: Instruction limit
% 5.16/1.65 % (1238755)Termination phase: Saturation
% 5.16/1.65 % (1238755)Time elapsed: 0.209 s
% 5.16/1.65 % (1238755)Peak memory usage: 91 MB
% 5.16/1.65 % (1238755)Instructions burned: 325 (million)
% 5.16/1.65 % (1238760)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1295086032:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.16/1.65 % (1238760)Refutation not found, incomplete strategy
% 5.16/1.65 % (1238760)------------------------------
% 5.16/1.65 % (1238760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.65 % (1238760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.65 % (1238760)CaDiCaL version: 2.1.3
% 5.16/1.65 % (1238760)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.65 % (1238760)Time elapsed: 0.003 s
% 5.16/1.65 % (1238760)Peak memory usage: 88 MB
% 5.16/1.65 % (1238760)Instructions burned: 2 (million)
% 5.16/1.65 % (1238759)Instruction limit reached!
% 5.16/1.65 % (1238759)------------------------------
% 5.16/1.65 % (1238759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.65 % (1238759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.65 % (1238759)CaDiCaL version: 2.1.3
% 5.16/1.65 % (1238759)Termination reason: Instruction limit
% 5.16/1.65 % (1238759)Termination phase: Saturation
% 5.16/1.65 % (1238759)Time elapsed: 0.136 s
% 5.16/1.65 % (1238759)Peak memory usage: 95 MB
% 5.16/1.65 % (1238759)Instructions burned: 250 (million)
% 5.16/1.65 % (1238762)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=380525513:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.16/1.65 % (1238741)Refutation found. Thanks to Tanya!
% 5.16/1.65 % SZS status Theorem for theBenchmark
% 5.16/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 6.23/1.84 % (1238741)------------------------------
% 6.23/1.84 % (1238741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.84 % (1238741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.84 % (1238741)CaDiCaL version: 2.1.3
% 6.23/1.84 % (1238741)Termination reason: Refutation
% 6.23/1.84 % (1238741)Time elapsed: 0.491 s
% 6.23/1.84 % (1238741)Peak memory usage: 134 MB
% 6.23/1.84 % (1238741)Instructions burned: 1381 (million)
% 6.23/1.84 % (1238741)------------------------------
% 6.23/1.84 % (1238741)------------------------------
% 6.23/1.84 % (1238734)Success in time 0.799 s
% 6.23/1.84 % Vampire exiting
%------------------------------------------------------------------------------