%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU216+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:47:47 PM UTC 2026
% Result : Theorem 4.56s 1.27s
% Output : Refutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 24
% Syntax : Number of formulae : 211 ( 28 unt; 13 def)
% Number of atoms : 779 ( 206 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 941 ( 373 ~; 446 |; 83 &)
% ( 26 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-2 aty)
% Number of variables : 252 ( 0 sgn 221 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f8,axiom,
! [X0,X1] :
( relation(X1)
=> ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( in(X2,X0)
& X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1) ).
fof(f19,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( X0 = X1
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_relat_1) ).
fof(f28,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f34,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f78,axiom,
! [X0] :
( relation(identity_relation(X0))
& function(identity_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f149,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f164,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f165,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f164]) ).
fof(f202,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f205,axiom,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f213,axiom,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).
fof(f240,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( in(X2,X0)
& X2 = X3 ) ) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f253,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f339,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f149]) ).
fof(f340,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f339]) ).
fof(f359,plain,
? [X0,X1] :
( ( X1 = identity_relation(X0)
<~> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f165]) ).
fof(f360,plain,
? [X0,X1] :
( ( X1 = identity_relation(X0)
<~> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f359]) ).
fof(f402,plain,
! [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(ennf_transformation,[],[f213]) ).
fof(f403,plain,
! [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f402]) ).
fof(f414,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(X2,X0)
| X2 != X3 )
& ( ( in(X2,X0)
& X2 = X3 )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f240]) ).
fof(f415,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(X2,X0)
| X2 != X3 )
& ( ( in(X2,X0)
& X2 = X3 )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(flattening,[],[f414]) ).
fof(f416,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5 )
& ( ( in(X4,X0)
& X4 = X5 )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(rectify,[],[f415]) ).
fof(f417,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ( ( ~ in(sK0(X0,X1),X0)
| sK0(X0,X1) != sK1(X0,X1)
| ~ in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1) )
& ( ( in(sK0(X0,X1),X0)
& sK0(X0,X1) = sK1(X0,X1) )
| in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5 )
& ( ( in(X4,X0)
& X4 = X5 )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f416]) ).
fof(f449,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ? [X2,X3] :
( ( ~ in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,X3),X1)
| in(ordered_pair(X2,X3),X0) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) ) )
| X0 != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f247]) ).
fof(f450,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ? [X2,X3] :
( ( ~ in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,X3),X1)
| in(ordered_pair(X2,X3),X0) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X4,X5),X1) )
& ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X4,X5),X0) ) )
| X0 != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f449]) ).
fof(f451,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ( ( ~ in(ordered_pair(sK21(X0,X1),sK22(X0,X1)),X1)
| ~ in(ordered_pair(sK21(X0,X1),sK22(X0,X1)),X0) )
& ( in(ordered_pair(sK21(X0,X1),sK22(X0,X1)),X1)
| in(ordered_pair(sK21(X0,X1),sK22(X0,X1)),X0) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X4,X5),X1) )
& ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X4,X5),X0) ) )
| X0 != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X2,sK21(X0,X1)),skolemize(X3,sK22(X0,X1))],[f450]) ).
fof(f475,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f253]) ).
fof(f476,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f475]) ).
fof(f477,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK34(X0,X1),X3),X0)
| ~ in(sK34(X0,X1),X1) )
& ( in(ordered_pair(sK34(X0,X1),sK35(X0,X1)),X0)
| in(sK34(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK36(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36]),skolemize(X2,sK34(X0,X1)),skolemize(X4,sK35(X0,X1)),skolemize(X7,sK36(X0,X5))],[f476]) ).
fof(f530,plain,
? [X0,X1] :
( ( relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| identity_relation(X0) != X1 )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| X1 = identity_relation(X0) )
& relation(X1)
& function(X1) ),
inference(nnf_transformation,[],[f360]) ).
fof(f531,plain,
? [X0,X1] :
( ( relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| identity_relation(X0) != X1 )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| X1 = identity_relation(X0) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f530]) ).
fof(f532,plain,
? [X0,X1] :
( ( relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| identity_relation(X0) != X1 )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| X1 = identity_relation(X0) )
& relation(X1)
& function(X1) ),
inference(rectify,[],[f531]) ).
fof(f533,plain,
( ( sK65 != relation_dom(sK66)
| ( sK67 != apply(sK66,sK67)
& in(sK67,sK65) )
| sK66 != identity_relation(sK65) )
& ( ( sK65 = relation_dom(sK66)
& ! [X3] :
( apply(sK66,X3) = X3
| ~ in(X3,sK65) ) )
| sK66 = identity_relation(sK65) )
& relation(sK66)
& function(sK66) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65,sK66,sK67]),skolemize(X0,sK65),skolemize(X1,sK66),skolemize(X2,sK67)],[f532]) ).
fof(f552,plain,
! [X0,X1,X2] :
( ( ( in(ordered_pair(X0,X1),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1 )
& ( ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) )
| ~ in(ordered_pair(X0,X1),X2) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(nnf_transformation,[],[f403]) ).
fof(f553,plain,
! [X0,X1,X2] :
( ( ( in(ordered_pair(X0,X1),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1 )
& ( ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) )
| ~ in(ordered_pair(X0,X1),X2) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f552]) ).
fof(f559,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f562,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X4,X5),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f563,plain,
! [X0,X1,X4,X5] :
( in(X4,X0)
| ~ in(ordered_pair(X4,X5),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f417]) ).
fof(f618,plain,
! [X0,X1] :
( X0 = X1
| in(ordered_pair(sK21(X0,X1),sK22(X0,X1)),X1)
| in(ordered_pair(sK21(X0,X1),sK22(X0,X1)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f451]) ).
fof(f619,plain,
! [X0,X1] :
( X0 = X1
| ~ in(ordered_pair(sK21(X0,X1),sK22(X0,X1)),X1)
| ~ in(ordered_pair(sK21(X0,X1),sK22(X0,X1)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f451]) ).
fof(f660,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK36(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f477]) ).
fof(f682,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f724,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f78]) ).
fof(f725,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f78]) ).
fof(f826,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f340]) ).
fof(f847,plain,
function(sK66),
inference(cnf_transformation,[],[f533]) ).
fof(f848,plain,
relation(sK66),
inference(cnf_transformation,[],[f533]) ).
fof(f849,plain,
! [X3] :
( apply(sK66,X3) = X3
| ~ in(X3,sK65)
| sK66 = identity_relation(sK65) ),
inference(cnf_transformation,[],[f533]) ).
fof(f850,plain,
( sK65 = relation_dom(sK66)
| sK66 = identity_relation(sK65) ),
inference(cnf_transformation,[],[f533]) ).
fof(f851,plain,
( sK65 != relation_dom(sK66)
| in(sK67,sK65)
| sK66 != identity_relation(sK65) ),
inference(cnf_transformation,[],[f533]) ).
fof(f852,plain,
( sK65 != relation_dom(sK66)
| sK67 != apply(sK66,sK67)
| sK66 != identity_relation(sK65) ),
inference(cnf_transformation,[],[f533]) ).
fof(f905,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f202]) ).
fof(f909,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f205]) ).
fof(f922,plain,
! [X2,X0,X1] :
( apply(X2,X0) = X1
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f553]) ).
fof(f924,plain,
! [X2,X0,X1] :
( in(ordered_pair(X0,X1),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f553]) ).
fof(f937,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f682,f905]) ).
fof(f943,plain,
! [X0,X1,X4,X5] :
( in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f563,f937]) ).
fof(f944,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f562,f937]) ).
fof(f971,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK21(X0,X1),sK22(X0,X1)),unordered_pair(sK21(X0,X1),sK21(X0,X1))),X1)
| X0 = X1
| ~ in(unordered_pair(unordered_pair(sK21(X0,X1),sK22(X0,X1)),unordered_pair(sK21(X0,X1),sK21(X0,X1))),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f619,f937,f937]) ).
fof(f972,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK21(X0,X1),sK22(X0,X1)),unordered_pair(sK21(X0,X1),sK21(X0,X1))),X1)
| in(unordered_pair(unordered_pair(sK21(X0,X1),sK22(X0,X1)),unordered_pair(sK21(X0,X1),sK21(X0,X1))),X0)
| X0 = X1
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f618,f937,f937]) ).
fof(f993,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK36(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f660,f937]) ).
fof(f1039,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f826,f937]) ).
fof(f1063,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2) ),
inference(definition_unfolding,[],[f924,f937]) ).
fof(f1065,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| apply(X2,X0) = X1
| ~ relation(X2)
| ~ function(X2) ),
inference(definition_unfolding,[],[f922,f937]) ).
fof(f1071,plain,
! [X0,X4,X5] :
( in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f943]) ).
fof(f1072,plain,
! [X0,X4,X5] :
( X4 = X5
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f944]) ).
fof(f1122,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK36(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f993]) ).
fof(f1142,plain,
! [X2,X0] :
( in(unordered_pair(unordered_pair(X0,apply(X2,X0)),unordered_pair(X0,X0)),X2)
| ~ in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(equality_resolution,[],[f1063]) ).
fof(f1143,definition,
sF74 = relation_dom(sK66),
introduced(definition,[new_symbols(definition,[sF74])],[function_definition]) ).
fof(f1144,plain,
relation_dom(sK66) = sF74,
inference(reorient_equations,[],[f1143]) ).
fof(f1145,definition,
sF75 = apply(sK66,sK67),
introduced(definition,[new_symbols(definition,[sF75])],[function_definition]) ).
fof(f1146,plain,
apply(sK66,sK67) = sF75,
inference(reorient_equations,[],[f1145]) ).
fof(f1147,definition,
sF76 = identity_relation(sK65),
introduced(definition,[new_symbols(definition,[sF76])],[function_definition]) ).
fof(f1148,plain,
identity_relation(sK65) = sF76,
inference(reorient_equations,[],[f1147]) ).
fof(f1149,plain,
( sK65 != sF74
| sK67 != sF75
| sK66 != sF76 ),
inference(definition_folding,[],[f852,f1148,f1146,f1144]) ).
fof(f1150,plain,
( sK65 != sF74
| in(sK67,sK65)
| sK66 != sF76 ),
inference(definition_folding,[],[f851,f1148,f1144]) ).
fof(f1151,plain,
( sK65 = sF74
| sK66 = sF76 ),
inference(definition_folding,[],[f850,f1148,f1144]) ).
fof(f1152,definition,
! [X3] : sF77(X3) = apply(sK66,X3),
introduced(definition,[new_symbols(definition,[sF77])],[function_definition]) ).
fof(f1153,plain,
! [X3] : apply(sK66,X3) = sF77(X3),
inference(reorient_equations,[],[f1152]) ).
fof(f1154,plain,
! [X3] :
( sF77(X3) = X3
| ~ in(X3,sK65)
| sK66 = sF76 ),
inference(definition_folding,[],[f849,f1148,f1153]) ).
fof(f1158,definition,
( spl78_1
<=> sK66 = sF76 ),
introduced(definition,[new_symbols(definition,[spl78_1])],[avatar_definition]) ).
fof(f1159,plain,
( sK66 != sF76
| spl78_1 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1160,plain,
( sK66 = sF76
| ~ spl78_1 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1162,definition,
( spl78_2
<=> ! [X3] :
( sF77(X3) = X3
| ~ in(X3,sK65) ) ),
introduced(definition,[new_symbols(definition,[spl78_2])],[avatar_definition]) ).
fof(f1163,plain,
( ! [X3] :
( ~ in(X3,sK65)
| sF77(X3) = X3 )
| ~ spl78_2 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1164,plain,
( spl78_1
| spl78_2 ),
inference(avatar_split_clause,[],[f1154,f1162,f1158]) ).
fof(f1166,definition,
( spl78_3
<=> sK65 = sF74 ),
introduced(definition,[new_symbols(definition,[spl78_3])],[avatar_definition]) ).
fof(f1168,plain,
( sK65 = sF74
| ~ spl78_3 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1169,plain,
( spl78_1
| spl78_3 ),
inference(avatar_split_clause,[],[f1151,f1166,f1158]) ).
fof(f1171,definition,
( spl78_4
<=> in(sK67,sK65) ),
introduced(definition,[new_symbols(definition,[spl78_4])],[avatar_definition]) ).
fof(f1173,plain,
( in(sK67,sK65)
| ~ spl78_4 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1174,plain,
( ~ spl78_1
| spl78_4
| ~ spl78_3 ),
inference(avatar_split_clause,[],[f1150,f1166,f1171,f1158]) ).
fof(f1176,definition,
( spl78_5
<=> sK67 = sF75 ),
introduced(definition,[new_symbols(definition,[spl78_5])],[avatar_definition]) ).
fof(f1178,plain,
( sK67 != sF75
| spl78_5 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1179,plain,
( ~ spl78_1
| ~ spl78_5
| ~ spl78_3 ),
inference(avatar_split_clause,[],[f1149,f1166,f1176,f1158]) ).
fof(f1196,plain,
! [X0,X4,X5] :
( ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),identity_relation(X0))
| X4 = X5 ),
inference(forward_subsumption_resolution,[],[f1072,f725]) ).
fof(f1197,plain,
! [X0,X4,X5] :
( ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),identity_relation(X0))
| in(X4,X0) ),
inference(forward_subsumption_resolution,[],[f1071,f725]) ).
fof(f1202,plain,
sK65 = relation_dom(sF76),
inference(superposition,[],[f909,f1148]) ).
fof(f1203,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF76)
| X0 = X1 ),
inference(superposition,[],[f1196,f1148]) ).
fof(f1204,plain,
relation(sF76),
inference(superposition,[],[f725,f1148]) ).
fof(f1206,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF76)
| in(X0,sK65) ),
inference(superposition,[],[f1197,f1148]) ).
fof(f1211,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sF77(X0)),unordered_pair(X0,X0)),sK66)
| ~ in(X0,relation_dom(sK66))
| ~ relation(sK66)
| ~ function(sK66) ),
inference(superposition,[],[f1142,f1153]) ).
fof(f1212,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sF77(X0)),unordered_pair(X0,X0)),sK66)
| ~ in(X0,relation_dom(sK66))
| ~ function(sK66) ),
inference(forward_subsumption_resolution,[],[f1211,f848]) ).
fof(f1228,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sF77(X0)),unordered_pair(X0,X0)),sK66)
| ~ in(X0,relation_dom(sK66)) ),
inference(forward_subsumption_resolution,[],[f1212,f847]) ).
fof(f1232,plain,
! [X0] :
( ~ in(X0,sF74)
| in(unordered_pair(unordered_pair(X0,sF77(X0)),unordered_pair(X0,X0)),sK66) ),
inference(forward_demodulation,[],[f1228,f1144]) ).
fof(f1236,plain,
( ! [X0] :
( in(unordered_pair(unordered_pair(X0,sF77(X0)),unordered_pair(X0,X0)),sK66)
| ~ in(X0,sK65) )
| ~ spl78_3 ),
inference(forward_demodulation,[],[f1232,f1168]) ).
fof(f1263,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X1)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(superposition,[],[f1039,f559]) ).
fof(f1274,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sK36(X1,X0))),X1)
| ~ in(X0,relation_dom(X1))
| ~ relation(X1) ),
inference(superposition,[],[f1122,f559]) ).
fof(f1318,plain,
! [X0] :
( sK36(sF76,X0) = X0
| ~ in(X0,relation_dom(sF76))
| ~ relation(sF76) ),
inference(resolution,[],[f1203,f1122]) ).
fof(f1323,plain,
! [X0] :
( sK36(sF76,X0) = X0
| ~ in(X0,relation_dom(sF76)) ),
inference(forward_subsumption_resolution,[],[f1318,f1204]) ).
fof(f1325,plain,
! [X0] :
( ~ in(X0,sK65)
| sK36(sF76,X0) = X0 ),
inference(forward_demodulation,[],[f1323,f1202]) ).
fof(f1525,plain,
! [X0,X1] :
( apply(X0,X1) = sK36(X0,X1)
| ~ relation(X0)
| ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(X0) ),
inference(resolution,[],[f1065,f1122]) ).
fof(f1536,plain,
! [X0,X1] :
( ~ in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| apply(X0,X1) = sK36(X0,X1) ),
inference(duplicate_literal_removal,[],[f1525]) ).
fof(f1545,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ relation(identity_relation(X0))
| ~ function(identity_relation(X0))
| apply(identity_relation(X0),X1) = sK36(identity_relation(X0),X1) ),
inference(superposition,[],[f1536,f909]) ).
fof(f1549,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ function(identity_relation(X0))
| apply(identity_relation(X0),X1) = sK36(identity_relation(X0),X1) ),
inference(forward_subsumption_resolution,[],[f1545,f725]) ).
fof(f1552,plain,
! [X0,X1] :
( ~ in(X1,X0)
| apply(identity_relation(X0),X1) = sK36(identity_relation(X0),X1) ),
inference(forward_subsumption_resolution,[],[f1549,f724]) ).
fof(f1754,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK21(X0,sF76),sK22(X0,sF76)),unordered_pair(sK21(X0,sF76),sK21(X0,sF76))),X0)
| sF76 = X0
| ~ relation(sF76)
| ~ relation(X0)
| sK21(X0,sF76) = sK22(X0,sF76) ),
inference(resolution,[],[f972,f1203]) ).
fof(f1804,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK21(X0,sF76),sK22(X0,sF76)),unordered_pair(sK21(X0,sF76),sK21(X0,sF76))),X0)
| sF76 = X0
| ~ relation(X0)
| sK21(X0,sF76) = sK22(X0,sF76) ),
inference(forward_subsumption_resolution,[],[f1754,f1204]) ).
fof(f1810,plain,
! [X0] :
( sF76 = X0
| ~ relation(X0)
| sK21(X0,sF76) = sK22(X0,sF76)
| sK22(X0,sF76) = apply(X0,sK21(X0,sF76))
| ~ relation(X0)
| ~ function(X0) ),
inference(resolution,[],[f1804,f1065]) ).
fof(f1812,plain,
! [X0] :
( sF76 = X0
| ~ relation(X0)
| sK21(X0,sF76) = sK22(X0,sF76)
| in(sK21(X0,sF76),relation_dom(X0))
| ~ relation(X0) ),
inference(resolution,[],[f1804,f1039]) ).
fof(f1831,plain,
! [X0] :
( in(sK21(X0,sF76),relation_dom(X0))
| ~ relation(X0)
| sK21(X0,sF76) = sK22(X0,sF76)
| sF76 = X0 ),
inference(duplicate_literal_removal,[],[f1812]) ).
fof(f1833,plain,
! [X0] :
( ~ relation(X0)
| sF76 = X0
| sK21(X0,sF76) = sK22(X0,sF76)
| sK22(X0,sF76) = apply(X0,sK21(X0,sF76))
| ~ function(X0) ),
inference(duplicate_literal_removal,[],[f1810]) ).
fof(f1844,plain,
( in(sK21(sK66,sF76),sF74)
| ~ relation(sK66)
| sK21(sK66,sF76) = sK22(sK66,sF76)
| sK66 = sF76 ),
inference(superposition,[],[f1831,f1144]) ).
fof(f1848,plain,
( in(sK21(sK66,sF76),sF74)
| sK21(sK66,sF76) = sK22(sK66,sF76)
| sK66 = sF76 ),
inference(forward_subsumption_resolution,[],[f1844,f848]) ).
fof(f1851,plain,
( in(sK21(sK66,sF76),sF74)
| sK21(sK66,sF76) = sK22(sK66,sF76)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f1848,f1159]) ).
fof(f1852,plain,
( in(sK21(sK66,sF76),sK65)
| sK21(sK66,sF76) = sK22(sK66,sF76)
| spl78_1
| ~ spl78_3 ),
inference(forward_demodulation,[],[f1851,f1168]) ).
fof(f1854,definition,
( spl78_10
<=> sK21(sK66,sF76) = sK22(sK66,sF76) ),
introduced(definition,[new_symbols(definition,[spl78_10])],[avatar_definition]) ).
fof(f1855,plain,
( sK21(sK66,sF76) != sK22(sK66,sF76)
| spl78_10 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1856,plain,
( sK21(sK66,sF76) = sK22(sK66,sF76)
| ~ spl78_10 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1858,definition,
( spl78_11
<=> in(sK21(sK66,sF76),sK65) ),
introduced(definition,[new_symbols(definition,[spl78_11])],[avatar_definition]) ).
fof(f1860,plain,
( in(sK21(sK66,sF76),sK65)
| ~ spl78_11 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1861,plain,
( spl78_10
| spl78_11
| spl78_1
| ~ spl78_3 ),
inference(avatar_split_clause,[],[f1852,f1166,f1158,f1858,f1854]) ).
fof(f1868,plain,
( sK65 = relation_dom(sK66)
| ~ spl78_1 ),
inference(superposition,[],[f1202,f1160]) ).
fof(f1885,plain,
( sK65 = sF74
| ~ spl78_1 ),
inference(forward_demodulation,[],[f1868,f1144]) ).
fof(f1891,plain,
( sK67 = sK36(sF76,sK67)
| ~ spl78_4 ),
inference(resolution,[],[f1173,f1325]) ).
fof(f1894,plain,
( apply(identity_relation(sK65),sK67) = sK36(identity_relation(sK65),sK67)
| ~ spl78_4 ),
inference(resolution,[],[f1173,f1552]) ).
fof(f1899,plain,
( apply(sF76,sK67) = sK36(sF76,sK67)
| ~ spl78_4 ),
inference(forward_demodulation,[],[f1894,f1148]) ).
fof(f1902,plain,
( sK67 = sK36(sK66,sK67)
| ~ spl78_1
| ~ spl78_4 ),
inference(forward_demodulation,[],[f1891,f1160]) ).
fof(f1908,plain,
( apply(sK66,sK67) = sK36(sK66,sK67)
| ~ spl78_1
| ~ spl78_4 ),
inference(forward_demodulation,[],[f1899,f1160]) ).
fof(f1916,plain,
( sK67 = apply(sK66,sK67)
| ~ spl78_1
| ~ spl78_4 ),
inference(forward_demodulation,[],[f1908,f1902]) ).
fof(f1924,plain,
( sK67 = sF75
| ~ spl78_1
| ~ spl78_4 ),
inference(forward_demodulation,[],[f1916,f1146]) ).
fof(f1927,plain,
( $false
| ~ spl78_1
| ~ spl78_4
| spl78_5 ),
inference(forward_subsumption_resolution,[],[f1924,f1178]) ).
fof(f1928,plain,
( ~ spl78_1
| ~ spl78_4
| spl78_5 ),
inference(avatar_contradiction_clause,[],[f1927]) ).
fof(f1929,plain,
( in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sF76)
| sK66 = sF76
| ~ relation(sF76)
| ~ relation(sK66)
| ~ spl78_10 ),
inference(superposition,[],[f972,f1856]) ).
fof(f1932,plain,
( in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sF76)
| ~ relation(sF76)
| ~ relation(sK66)
| spl78_1
| ~ spl78_10 ),
inference(forward_subsumption_resolution,[],[f1929,f1159]) ).
fof(f1934,plain,
( in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sF76)
| ~ relation(sK66)
| spl78_1
| ~ spl78_10 ),
inference(forward_subsumption_resolution,[],[f1932,f1204]) ).
fof(f1936,plain,
( in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sF76)
| spl78_1
| ~ spl78_10 ),
inference(forward_subsumption_resolution,[],[f1934,f848]) ).
fof(f1938,definition,
( spl78_12
<=> in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66) ),
introduced(definition,[new_symbols(definition,[spl78_12])],[avatar_definition]) ).
fof(f1940,plain,
( in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| ~ spl78_12 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1942,definition,
( spl78_13
<=> in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sF76) ),
introduced(definition,[new_symbols(definition,[spl78_13])],[avatar_definition]) ).
fof(f1943,plain,
( ~ in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sF76)
| spl78_13 ),
inference(avatar_component_clause,[],[f1942]) ).
fof(f1944,plain,
( in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sF76)
| ~ spl78_13 ),
inference(avatar_component_clause,[],[f1942]) ).
fof(f1946,plain,
( spl78_13
| spl78_12
| spl78_1
| ~ spl78_10 ),
inference(avatar_split_clause,[],[f1936,f1854,f1158,f1938,f1942]) ).
fof(f1948,plain,
( in(sK21(sK66,sF76),sK65)
| ~ spl78_13 ),
inference(resolution,[],[f1944,f1206]) ).
fof(f1970,plain,
( spl78_11
| ~ spl78_13 ),
inference(avatar_split_clause,[],[f1948,f1942,f1858]) ).
fof(f1986,plain,
( in(sK21(sK66,sF76),relation_dom(sK66))
| ~ relation(sK66)
| ~ spl78_12 ),
inference(resolution,[],[f1940,f1263]) ).
fof(f1993,plain,
( in(sK21(sK66,sF76),relation_dom(sK66))
| ~ spl78_12 ),
inference(forward_subsumption_resolution,[],[f1986,f848]) ).
fof(f2001,plain,
( in(sK21(sK66,sF76),sF74)
| ~ spl78_12 ),
inference(forward_demodulation,[],[f1993,f1144]) ).
fof(f2009,plain,
( in(sK21(sK66,sF76),sK65)
| ~ spl78_3
| ~ spl78_12 ),
inference(forward_demodulation,[],[f2001,f1168]) ).
fof(f2016,plain,
( spl78_11
| ~ spl78_3
| ~ spl78_12 ),
inference(avatar_split_clause,[],[f2009,f1938,f1166,f1858]) ).
fof(f2049,plain,
( sK21(sK66,sF76) = sK36(sF76,sK21(sK66,sF76))
| ~ spl78_11 ),
inference(resolution,[],[f1860,f1325]) ).
fof(f2051,plain,
( sK21(sK66,sF76) = sF77(sK21(sK66,sF76))
| ~ spl78_2
| ~ spl78_11 ),
inference(resolution,[],[f1860,f1163]) ).
fof(f2063,plain,
( in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| ~ in(sK21(sK66,sF76),sK65)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_11 ),
inference(superposition,[],[f1236,f2051]) ).
fof(f2064,plain,
( in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_11 ),
inference(forward_subsumption_resolution,[],[f2063,f1860]) ).
fof(f2066,plain,
( spl78_12
| ~ spl78_2
| ~ spl78_3
| ~ spl78_11 ),
inference(avatar_split_clause,[],[f2064,f1858,f1166,f1162,f1938]) ).
fof(f2108,plain,
( in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sF76)
| ~ in(sK21(sK66,sF76),relation_dom(sF76))
| ~ relation(sF76)
| ~ spl78_11 ),
inference(superposition,[],[f1274,f2049]) ).
fof(f2152,plain,
( sK66 = sF76
| sK21(sK66,sF76) = sK22(sK66,sF76)
| sK22(sK66,sF76) = apply(sK66,sK21(sK66,sF76))
| ~ function(sK66) ),
inference(resolution,[],[f1833,f848]) ).
fof(f2673,plain,
( ~ in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sF76)
| sK66 = sF76
| ~ in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| ~ relation(sF76)
| ~ relation(sK66)
| ~ spl78_10 ),
inference(superposition,[],[f971,f1856]) ).
fof(f2685,plain,
( sK66 = sF76
| ~ in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| ~ relation(sF76)
| ~ relation(sK66)
| ~ spl78_10
| ~ spl78_13 ),
inference(forward_subsumption_resolution,[],[f2673,f1944]) ).
fof(f2688,plain,
( ~ in(unordered_pair(unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76)),unordered_pair(sK21(sK66,sF76),sK21(sK66,sF76))),sK66)
| ~ relation(sF76)
| ~ relation(sK66)
| spl78_1
| ~ spl78_10
| ~ spl78_13 ),
inference(forward_subsumption_resolution,[],[f2685,f1159]) ).
fof(f2690,plain,
( ~ relation(sF76)
| ~ relation(sK66)
| spl78_1
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13 ),
inference(forward_subsumption_resolution,[],[f2688,f1940]) ).
fof(f2692,plain,
( ~ relation(sK66)
| spl78_1
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13 ),
inference(forward_subsumption_resolution,[],[f2690,f1204]) ).
fof(f2695,plain,
( $false
| spl78_1
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13 ),
inference(forward_subsumption_resolution,[],[f2692,f848]) ).
fof(f2696,plain,
( spl78_1
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13 ),
inference(avatar_contradiction_clause,[],[f2695]) ).
fof(f2699,plain,
( ~ in(sK21(sK66,sF76),relation_dom(sF76))
| ~ relation(sF76)
| ~ spl78_11
| spl78_13 ),
inference(forward_subsumption_resolution,[],[f2108,f1943]) ).
fof(f2703,plain,
( ~ in(sK21(sK66,sF76),relation_dom(sF76))
| ~ spl78_11
| spl78_13 ),
inference(forward_subsumption_resolution,[],[f2699,f1204]) ).
fof(f2706,plain,
( ~ in(sK21(sK66,sF76),sK65)
| ~ spl78_11
| spl78_13 ),
inference(forward_demodulation,[],[f2703,f1202]) ).
fof(f2710,plain,
( $false
| ~ spl78_11
| spl78_13 ),
inference(forward_subsumption_resolution,[],[f2706,f1860]) ).
fof(f2711,plain,
( ~ spl78_11
| spl78_13 ),
inference(avatar_contradiction_clause,[],[f2710]) ).
fof(f2721,plain,
( sK21(sK66,sF76) = sK22(sK66,sF76)
| sK22(sK66,sF76) = apply(sK66,sK21(sK66,sF76))
| ~ function(sK66)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f2152,f1159]) ).
fof(f2726,plain,
( sK22(sK66,sF76) = apply(sK66,sK21(sK66,sF76))
| ~ function(sK66)
| spl78_1
| spl78_10 ),
inference(forward_subsumption_resolution,[],[f2721,f1855]) ).
fof(f2731,plain,
( sK22(sK66,sF76) = apply(sK66,sK21(sK66,sF76))
| spl78_1
| spl78_10 ),
inference(forward_subsumption_resolution,[],[f2726,f847]) ).
fof(f2737,plain,
( sK22(sK66,sF76) = sF77(sK21(sK66,sF76))
| spl78_1
| spl78_10 ),
inference(forward_demodulation,[],[f2731,f1153]) ).
fof(f2739,plain,
( sK21(sK66,sF76) = sK22(sK66,sF76)
| spl78_1
| ~ spl78_2
| spl78_10
| ~ spl78_11 ),
inference(forward_demodulation,[],[f2737,f2051]) ).
fof(f2741,plain,
( $false
| spl78_1
| ~ spl78_2
| spl78_10
| ~ spl78_11 ),
inference(forward_subsumption_resolution,[],[f2739,f1855]) ).
fof(f2742,plain,
( spl78_1
| ~ spl78_2
| spl78_10
| ~ spl78_11 ),
inference(avatar_contradiction_clause,[],[f2741]) ).
fof(f2743,plain,
( spl78_3
| ~ spl78_1 ),
inference(avatar_split_clause,[],[f1885,f1158,f1166]) ).
cnf(s1,plain,
( spl78_1
| spl78_2 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s2,plain,
( spl78_1
| spl78_3 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s3,plain,
( ~ spl78_1
| ~ spl78_3
| spl78_4 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s4,plain,
( ~ spl78_1
| ~ spl78_3
| ~ spl78_5 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s7,plain,
( spl78_1
| ~ spl78_3
| spl78_10
| spl78_11 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s13,plain,
( ~ spl78_1
| ~ spl78_4
| spl78_5 ),
inference(sat_conversion,[],[f1928]) ).
cnf(s15,plain,
( spl78_1
| ~ spl78_10
| spl78_12
| spl78_13 ),
inference(sat_conversion,[],[f1946]) ).
cnf(s16,plain,
( spl78_11
| ~ spl78_13 ),
inference(sat_conversion,[],[f1970]) ).
cnf(s21,plain,
( ~ spl78_3
| spl78_11
| ~ spl78_12 ),
inference(sat_conversion,[],[f2016]) ).
cnf(s25,plain,
( ~ spl78_2
| ~ spl78_3
| ~ spl78_11
| spl78_12 ),
inference(sat_conversion,[],[f2066]) ).
cnf(s46,plain,
( spl78_1
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13 ),
inference(sat_conversion,[],[f2696]) ).
cnf(s48,plain,
( ~ spl78_11
| spl78_13 ),
inference(sat_conversion,[],[f2711]) ).
cnf(s52,plain,
( spl78_1
| ~ spl78_2
| spl78_10
| ~ spl78_11 ),
inference(sat_conversion,[],[f2742]) ).
cnf(s53,plain,
( ~ spl78_1
| spl78_3 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s57,plain,
( spl78_10
| spl78_1 ),
inference(rat,[],[s7,s52,s2,s1]) ).
cnf(s58,plain,
( spl78_11
| spl78_1 ),
inference(rat,[],[s15,s21,s16,s2,s57]) ).
cnf(s59,plain,
spl78_1,
inference(rat,[],[s46,s25,s48,s58,s57,s1,s2]) ).
cnf(s60,plain,
spl78_3,
inference(rat,[],[s53,s59]) ).
cnf(s61,plain,
~ spl78_5,
inference(rat,[],[s4,s60,s59]) ).
cnf(s62,plain,
spl78_4,
inference(rat,[],[s3,s60,s59]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s13,s62,s59,s61]) ).
fof(f2786,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU216+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 28 04:05:49 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 4.56/1.27 % (3006930)Detected formulas, will run a generic FOF schedule.
% 4.56/1.27 % (3006939)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3122090733:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.56/1.27 % (3006937)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=267803131:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.56/1.27 % (3006938)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2729724657:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.56/1.27 % (3006935)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=2541913485:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.56/1.27 % (3006936)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=3309087984:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.56/1.27 % (3006940)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2750305685:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.56/1.27 % (3006941)dis-21_1_sil=8000:lcm=predicate:random_seed=3020201723: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)
% 4.56/1.27 % (3006938)Instruction limit reached!
% 4.56/1.27 % (3006938)------------------------------
% 4.56/1.27 % (3006938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006938)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006938)Termination reason: Instruction limit
% 4.56/1.27 % (3006938)Termination phase: Saturation
% 4.56/1.27 % (3006938)Time elapsed: 0.038 s
% 4.56/1.27 % (3006938)Peak memory usage: 90 MB
% 4.56/1.27 % (3006938)Instructions burned: 109 (million)
% 4.56/1.27 % (3006941)Instruction limit reached!
% 4.56/1.27 % (3006941)------------------------------
% 4.56/1.27 % (3006941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006941)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006941)Termination reason: Instruction limit
% 4.56/1.27 % (3006941)Termination phase: Saturation
% 4.56/1.27 % (3006941)Time elapsed: 0.041 s
% 4.56/1.27 % (3006941)Peak memory usage: 90 MB
% 4.56/1.27 % (3006941)Instructions burned: 130 (million)
% 4.56/1.27 % (3006939)Instruction limit reached!
% 4.56/1.27 % (3006939)------------------------------
% 4.56/1.27 % (3006939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006939)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006939)Termination reason: Instruction limit
% 4.56/1.27 % (3006939)Termination phase: Saturation
% 4.56/1.27 % (3006939)Time elapsed: 0.042 s
% 4.56/1.27 % (3006939)Peak memory usage: 89 MB
% 4.56/1.27 % (3006939)Instructions burned: 119 (million)
% 4.56/1.27 % (3006940)Instruction limit reached!
% 4.56/1.27 % (3006940)------------------------------
% 4.56/1.27 % (3006940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006940)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006940)Termination reason: Instruction limit
% 4.56/1.27 % (3006940)Termination phase: Saturation
% 4.56/1.27 % (3006940)Time elapsed: 0.052 s
% 4.56/1.27 % (3006940)Peak memory usage: 90 MB
% 4.56/1.27 % (3006940)Instructions burned: 140 (million)
% 4.56/1.27 % (3006950)lrs+10_1_sil=32000:urr=on:br=off:random_seed=443741422:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.56/1.27 % (3006951)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2162872259:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.56/1.27 % (3006949)lrs+10_1_sil=8000:sp=occurrence:random_seed=1910565541:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.56/1.27 % (3006952)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=2185658918:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.56/1.27 % (3006950)Instruction limit reached!
% 4.56/1.27 % (3006950)------------------------------
% 4.56/1.27 % (3006950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006950)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006950)Termination reason: Instruction limit
% 4.56/1.27 % (3006950)Termination phase: Saturation
% 4.56/1.27 % (3006950)Time elapsed: 0.045 s
% 4.56/1.27 % (3006950)Peak memory usage: 91 MB
% 4.56/1.27 % (3006950)Instructions burned: 159 (million)
% 4.56/1.27 % (3006952)Instruction limit reached!
% 4.56/1.27 % (3006952)------------------------------
% 4.56/1.27 % (3006952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006952)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006952)Termination reason: Instruction limit
% 4.56/1.27 % (3006952)Termination phase: Saturation
% 4.56/1.27 % (3006952)Time elapsed: 0.079 s
% 4.56/1.27 % (3006952)Peak memory usage: 93 MB
% 4.56/1.27 % (3006952)Instructions burned: 250 (million)
% 4.56/1.27 % (3006949)Instruction limit reached!
% 4.56/1.27 % (3006949)------------------------------
% 4.56/1.27 % (3006949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006949)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006949)Termination reason: Instruction limit
% 4.56/1.27 % (3006949)Termination phase: Saturation
% 4.56/1.27 % (3006949)Time elapsed: 0.102 s
% 4.56/1.27 % (3006949)Peak memory usage: 92 MB
% 4.56/1.27 % (3006949)Instructions burned: 287 (million)
% 4.56/1.27 % (3006951)Instruction limit reached!
% 4.56/1.27 % (3006951)------------------------------
% 4.56/1.27 % (3006951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006951)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006951)Termination reason: Instruction limit
% 4.56/1.27 % (3006951)Termination phase: Saturation
% 4.56/1.27 % (3006951)Time elapsed: 0.121 s
% 4.56/1.27 % (3006951)Peak memory usage: 93 MB
% 4.56/1.27 % (3006951)Instructions burned: 326 (million)
% 4.56/1.27 % (3006957)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1838803810:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 4.56/1.27 % (3006958)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2877196738:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.56/1.27 % (3006959)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1114935512:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.56/1.27 % (3006960)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3790881031:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 4.56/1.27 % (3006959)Instruction limit reached!
% 4.56/1.27 % (3006959)------------------------------
% 4.56/1.27 % (3006959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006959)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006959)Termination reason: Instruction limit
% 4.56/1.27 % (3006959)Termination phase: Saturation
% 4.56/1.27 % (3006959)Time elapsed: 0.038 s
% 4.56/1.27 % (3006959)Peak memory usage: 90 MB
% 4.56/1.27 % (3006959)Instructions burned: 115 (million)
% 4.56/1.27 % (3006957)Instruction limit reached!
% 4.56/1.27 % (3006957)------------------------------
% 4.56/1.27 % (3006957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006957)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006957)Termination reason: Instruction limit
% 4.56/1.27 % (3006957)Termination phase: Saturation
% 4.56/1.27 % (3006957)Time elapsed: 0.104 s
% 4.56/1.27 % (3006957)Peak memory usage: 90 MB
% 4.56/1.27 % (3006957)Instructions burned: 295 (million)
% 4.56/1.27 % (3006960)Instruction limit reached!
% 4.56/1.27 % (3006960)------------------------------
% 4.56/1.27 % (3006960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006960)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006960)Termination reason: Instruction limit
% 4.56/1.27 % (3006960)Termination phase: Saturation
% 4.56/1.27 % (3006960)Time elapsed: 0.036 s
% 4.56/1.27 % (3006960)Peak memory usage: 90 MB
% 4.56/1.27 % (3006960)Instructions burned: 130 (million)
% 4.56/1.27 % (3006966)lrs+10_1_sil=8000:sp=occurrence:random_seed=711767641:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 4.56/1.27 % (3006965)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3529438793:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 4.56/1.27 % (3006935)First to succeed.
% 4.56/1.27 % (3006935)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3006930"
% 4.56/1.27 % (3006965)Instruction limit reached!
% 4.56/1.27 % (3006965)------------------------------
% 4.56/1.27 % (3006965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.27 % (3006965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.27 % (3006965)CaDiCaL version: 2.1.3
% 4.56/1.27 % (3006965)Termination reason: Instruction limit
% 4.56/1.27 % (3006965)Termination phase: Saturation
% 4.56/1.27 % (3006965)Time elapsed: 0.041 s
% 4.56/1.27 % (3006965)Peak memory usage: 89 MB
% 4.56/1.27 % (3006965)Instructions burned: 116 (million)
% 4.56/1.27 % (3006967)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=408276473:i=437:sd=1:aac=none:ss=included_2995 on theBenchmark for (2995ds/437Mi)
% 4.56/1.27 % (3006970)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=836638825:i=5202:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/5202Mi)
% 4.56/1.27 % (3006935)Refutation found. Thanks to Tanya!
% 4.56/1.27 % SZS status Theorem for theBenchmark
% 4.56/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 5.36/1.36 % (3006935)------------------------------
% 5.36/1.36 % (3006935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.36 % (3006935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.36 % (3006935)CaDiCaL version: 2.1.3
% 5.36/1.36 % (3006935)Termination reason: Refutation
% 5.36/1.36 % (3006935)Time elapsed: 0.483 s
% 5.36/1.36 % (3006935)Peak memory usage: 133 MB
% 5.36/1.36 % (3006935)Instructions burned: 1311 (million)
% 5.36/1.36 % (3006935)------------------------------
% 5.36/1.36 % (3006935)------------------------------
% 5.36/1.36 % (3006930)Success in time 0.746 s
% 5.36/1.36 % Vampire exiting
%------------------------------------------------------------------------------