%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW470+7 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:30:26 PM UTC 2026
% Result : Theorem 11.59s 2.74s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 30 unt; 0 def)
% Number of atoms : 50 ( 16 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 27 ( 11 ~; 7 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 11 con; 0-7 aty)
% Number of variables : 73 ( 68 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,axiom,
ti(bool,fFalse) = fFalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_fFalse_res) ).
fof(f74,axiom,
! [X0,X1,X2,X3] : hAPP(X0,X1,ti(fun(X0,X1),X2),X3) = hAPP(X0,X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_hAPP_arg1) ).
fof(f124,axiom,
! [X0,X1] : hAPP(fun(X0,bool),X0,the_elem(X0),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool)))) = ti(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_the__elem__eq) ).
fof(f134,axiom,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,X5),X6))
=> ? [X7,X8] :
( hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X2),hAPP(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool),hAPP(hoare_2118899576triple(X0),fun(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool)),insert(hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_2118899576triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0))),hoare_759811442triple(X0),X7),X3),X8)),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
& ! [X9] :
( ! [X10] :
( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X7,X10),X6))
=> hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X8,X10),X9)) )
=> hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X1,X5),X9)) ) ) )
=> hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X2),hAPP(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool),hAPP(hoare_2118899576triple(X0),fun(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool)),insert(hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_2118899576triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0))),hoare_759811442triple(X0),X4),X3),X1)),bot_bot(fun(hoare_2118899576triple(X0),bool))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_conseq) ).
fof(f1178,axiom,
! [X0,X1] : hAPP(X0,X0,combi(X0),X1) = ti(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBI_1_1_U) ).
fof(f1179,axiom,
! [X0,X1,X2,X3] : hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3) = ti(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_U) ).
fof(f1187,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f1194,conjecture,
hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hAPP(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool),hAPP(hoare_2118899576triple(x_a),fun(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool)),insert(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_2118899576triple(x_a),bool))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1195,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hAPP(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool),hAPP(hoare_2118899576triple(x_a),fun(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool)),insert(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_2118899576triple(x_a),bool))))),
inference(negated_conjecture,[status(cth)],[f1194]) ).
fof(f1200,plain,
~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hAPP(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool),hAPP(hoare_2118899576triple(x_a),fun(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool)),insert(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_2118899576triple(x_a),bool))))),
inference(flattening,[],[f1195]) ).
fof(f1261,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X2),hAPP(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool),hAPP(hoare_2118899576triple(X0),fun(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool)),insert(hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_2118899576triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0))),hoare_759811442triple(X0),X4),X3),X1)),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
| ? [X5,X6] :
( ! [X7,X8] :
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X2),hAPP(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool),hAPP(hoare_2118899576triple(X0),fun(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool)),insert(hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_2118899576triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0))),hoare_759811442triple(X0),X7),X3),X8)),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
| ? [X9] :
( ~ hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X1,X5),X9))
& ! [X10] :
( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X8,X10),X9))
| ~ hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X7,X10),X6)) ) ) )
& hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,X5),X6)) ) ),
inference(ennf_transformation,[],[f134]) ).
fof(f2337,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X2),hAPP(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool),hAPP(hoare_2118899576triple(X0),fun(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool)),insert(hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_2118899576triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0))),hoare_759811442triple(X0),X4),X3),X1)),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
| ( ! [X7,X8] :
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X2),hAPP(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool),hAPP(hoare_2118899576triple(X0),fun(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool)),insert(hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_2118899576triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0))),hoare_759811442triple(X0),X7),X3),X8)),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
| ( ~ hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X1,sK19(X0,X1,X2,X3,X4)),sK21(X0,X1,X2,X3,X4,X7,X8)))
& ! [X10] :
( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X8,X10),sK21(X0,X1,X2,X3,X4,X7,X8)))
| ~ hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X7,X10),sK20(X0,X1,X2,X3,X4))) ) ) )
& hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK19(X0,X1,X2,X3,X4)),sK20(X0,X1,X2,X3,X4))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X5,sK19(X0,X1,X2,X3,X4)),skolemize(X6,sK20(X0,X1,X2,X3,X4)),skolemize(X9,sK21(X0,X1,X2,X3,X4,X7,X8))],[f1261]) ).
fof(f2757,plain,
fFalse = ti(bool,fFalse),
inference(cnf_transformation,[],[f67]) ).
fof(f2764,plain,
! [X2,X3,X0,X1] : hAPP(X0,X1,ti(fun(X0,X1),X2),X3) = hAPP(X0,X1,X2,X3),
inference(cnf_transformation,[],[f74]) ).
fof(f2842,plain,
! [X0,X1] : ti(X0,X1) = hAPP(fun(X0,bool),X0,the_elem(X0),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool)))),
inference(cnf_transformation,[],[f124]) ).
fof(f2854,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X2),hAPP(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool),hAPP(hoare_2118899576triple(X0),fun(fun(hoare_2118899576triple(X0),bool),fun(hoare_2118899576triple(X0),bool)),insert(hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_2118899576triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_2118899576triple(X0))),hoare_759811442triple(X0),X4),X3),X1)),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
| hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK19(X0,X1,X2,X3,X4)),sK20(X0,X1,X2,X3,X4))) ),
inference(cnf_transformation,[],[f2337]) ).
fof(f4297,plain,
! [X0,X1] : ti(X0,X1) = hAPP(X0,X0,combi(X0),X1),
inference(cnf_transformation,[],[f1178]) ).
fof(f4298,plain,
! [X2,X3,X0,X1] : ti(X1,X2) = hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3),
inference(cnf_transformation,[],[f1179]) ).
fof(f4306,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f1187]) ).
fof(f4313,plain,
~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hAPP(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool),hAPP(hoare_2118899576triple(x_a),fun(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool)),insert(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_2118899576triple(x_a),bool))))),
inference(cnf_transformation,[],[f1200]) ).
fof(f4380,plain,
fFalse = hAPP(fun(bool,bool),bool,the_elem(bool),hAPP(fun(bool,bool),fun(bool,bool),hAPP(bool,fun(fun(bool,bool),fun(bool,bool)),insert(bool),fFalse),bot_bot(fun(bool,bool)))),
inference(definition_unfolding,[],[f2757,f2842]) ).
fof(f4387,plain,
! [X2,X3,X0,X1] : hAPP(X0,X1,X2,X3) = hAPP(X0,X1,hAPP(fun(fun(X0,X1),bool),fun(X0,X1),the_elem(fun(X0,X1)),hAPP(fun(fun(X0,X1),bool),fun(fun(X0,X1),bool),hAPP(fun(X0,X1),fun(fun(fun(X0,X1),bool),fun(fun(X0,X1),bool)),insert(fun(X0,X1)),X2),bot_bot(fun(fun(X0,X1),bool)))),X3),
inference(definition_unfolding,[],[f2764,f2842]) ).
fof(f4744,plain,
! [X0,X1] : hAPP(fun(X0,bool),X0,the_elem(X0),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool)))) = hAPP(X0,X0,combi(X0),X1),
inference(definition_unfolding,[],[f4297,f2842]) ).
fof(f4745,plain,
! [X2,X3,X0,X1] : hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3) = hAPP(fun(X1,bool),X1,the_elem(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))),
inference(definition_unfolding,[],[f4298,f2842]) ).
fof(f5158,plain,
! [X2,X3,X0,X1] : hAPP(X0,X1,X2,X3) = hAPP(X0,X1,hAPP(fun(X0,X1),fun(X0,X1),combi(fun(X0,X1)),X2),X3),
inference(forward_demodulation,[],[f4387,f4744]) ).
fof(f5165,plain,
fFalse = hAPP(bool,bool,combi(bool),fFalse),
inference(forward_demodulation,[],[f4380,f4744]) ).
fof(f5583,plain,
hBOOL(hAPP(state,bool,hAPP(x_a,fun(state,bool),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)),sK19(x_a,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),g,c,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)))),sK20(x_a,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),g,c,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
inference(resolution,[],[f2854,f4313]) ).
fof(f5584,plain,
hBOOL(hAPP(state,bool,hAPP(fun(fun(state,bool),bool),fun(state,bool),the_elem(fun(state,bool)),hAPP(fun(fun(state,bool),bool),fun(fun(state,bool),bool),hAPP(fun(state,bool),fun(fun(fun(state,bool),bool),fun(fun(state,bool),bool)),insert(fun(state,bool)),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)),bot_bot(fun(fun(state,bool),bool)))),sK20(x_a,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),g,c,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
inference(forward_demodulation,[],[f5583,f4745]) ).
fof(f5585,plain,
hBOOL(hAPP(state,bool,hAPP(fun(state,bool),fun(state,bool),combi(fun(state,bool)),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)),sK20(x_a,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),g,c,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
inference(forward_demodulation,[],[f5584,f4744]) ).
fof(f5586,plain,
hBOOL(hAPP(state,bool,hAPP(bool,fun(state,bool),combk(bool,state),fFalse),sK20(x_a,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),g,c,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
inference(forward_demodulation,[],[f5585,f5158]) ).
fof(f5587,plain,
hBOOL(hAPP(fun(bool,bool),bool,the_elem(bool),hAPP(fun(bool,bool),fun(bool,bool),hAPP(bool,fun(fun(bool,bool),fun(bool,bool)),insert(bool),fFalse),bot_bot(fun(bool,bool))))),
inference(forward_demodulation,[],[f5586,f4745]) ).
fof(f5588,plain,
hBOOL(hAPP(bool,bool,combi(bool),fFalse)),
inference(forward_demodulation,[],[f5587,f4744]) ).
fof(f5589,plain,
hBOOL(fFalse),
inference(forward_demodulation,[],[f5588,f5165]) ).
fof(f5590,plain,
$false,
inference(forward_subsumption_resolution,[],[f5589,f4306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW470+7 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n006.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 14:02:40 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.27 Running first-order theorem proving
% 0.09/0.27 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
% 11.59/2.74 % (3979447)Detected formulas, will run a generic FOF schedule.
% 11.59/2.74 % (3979455)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=1959364608:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 11.59/2.74 % (3979460)dis-21_1_sil=8000:lcm=predicate:random_seed=2991194280:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 11.59/2.74 % (3979457)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2564713100:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 11.59/2.74 % (3979456)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=1055861752:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 11.59/2.74 % (3979458)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=759839978:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 11.59/2.74 % (3979459)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2141290944:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 11.59/2.74 % (3979454)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=3119486936:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 11.59/2.74 % (3979460)Instruction limit reached!
% 11.59/2.74 % (3979460)------------------------------
% 11.59/2.74 % (3979460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979460)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979460)Termination reason: Instruction limit
% 11.59/2.74 % (3979460)Termination phase: Property scanning
% 11.59/2.74 % (3979460)Time elapsed: 0.102 s
% 11.59/2.74 % (3979460)Peak memory usage: 88 MB
% 11.59/2.74 % (3979460)Instructions burned: 130 (million)
% 11.59/2.74 % (3979457)Instruction limit reached!
% 11.59/2.74 % (3979457)------------------------------
% 11.59/2.74 % (3979457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979457)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979457)Termination reason: Instruction limit
% 11.59/2.74 % (3979457)Termination phase: Saturation
% 11.59/2.74 % (3979457)Time elapsed: 0.086 s
% 11.59/2.74 % (3979457)Peak memory usage: 90 MB
% 11.59/2.74 % (3979457)Instructions burned: 110 (million)
% 11.59/2.74 % (3979458)Instruction limit reached!
% 11.59/2.74 % (3979458)------------------------------
% 11.59/2.74 % (3979458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979458)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979458)Termination reason: Instruction limit
% 11.59/2.74 % (3979458)Termination phase: Saturation
% 11.59/2.74 % (3979458)Time elapsed: 0.096 s
% 11.59/2.74 % (3979458)Peak memory usage: 89 MB
% 11.59/2.74 % (3979458)Instructions burned: 119 (million)
% 11.59/2.74 % (3979459)Instruction limit reached!
% 11.59/2.74 % (3979459)------------------------------
% 11.59/2.74 % (3979459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979459)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979459)Termination reason: Instruction limit
% 11.59/2.74 % (3979459)Termination phase: Property scanning
% 11.59/2.74 % (3979459)Time elapsed: 0.115 s
% 11.59/2.74 % (3979459)Peak memory usage: 88 MB
% 11.59/2.74 % (3979459)Instructions burned: 140 (million)
% 11.59/2.74 % (3979468)lrs+10_1_sil=8000:sp=occurrence:random_seed=3401868772:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 11.59/2.74 % (3979470)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1013139030:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 11.59/2.74 % (3979469)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3300135058:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 11.59/2.74 % (3979471)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=3502355777:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.59/2.74 % (3979469)Instruction limit reached!
% 11.59/2.74 % (3979469)------------------------------
% 11.59/2.74 % (3979469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979469)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979469)Termination reason: Instruction limit
% 11.59/2.74 % (3979469)Termination phase: Saturation
% 11.59/2.74 % (3979469)Time elapsed: 0.132 s
% 11.59/2.74 % (3979469)Peak memory usage: 90 MB
% 11.59/2.74 % (3979469)Instructions burned: 157 (million)
% 11.59/2.74 % (3979468)Instruction limit reached!
% 11.59/2.74 % (3979468)------------------------------
% 11.59/2.74 % (3979468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979468)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979468)Termination reason: Instruction limit
% 11.59/2.74 % (3979468)Termination phase: Saturation
% 11.59/2.74 % (3979468)Time elapsed: 0.255 s
% 11.59/2.74 % (3979468)Peak memory usage: 92 MB
% 11.59/2.74 % (3979468)Instructions burned: 286 (million)
% 11.59/2.74 % (3979471)Instruction limit reached!
% 11.59/2.74 % (3979471)------------------------------
% 11.59/2.74 % (3979471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979471)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979471)Termination reason: Instruction limit
% 11.59/2.74 % (3979471)Termination phase: Saturation
% 11.59/2.74 % (3979471)Time elapsed: 0.196 s
% 11.59/2.74 % (3979471)Peak memory usage: 91 MB
% 11.59/2.74 % (3979471)Instructions burned: 248 (million)
% 11.59/2.74 % (3979470)Instruction limit reached!
% 11.59/2.74 % (3979470)------------------------------
% 11.59/2.74 % (3979470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979470)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979470)Termination reason: Instruction limit
% 11.59/2.74 % (3979470)Termination phase: Saturation
% 11.59/2.74 % (3979470)Time elapsed: 0.311 s
% 11.59/2.74 % (3979470)Peak memory usage: 92 MB
% 11.59/2.74 % (3979470)Instructions burned: 325 (million)
% 11.59/2.74 % (3979476)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3335302903:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 11.59/2.74 % (3979477)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2206838464:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 11.59/2.74 % (3979478)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2666215965:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 11.59/2.74 % (3979479)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3192746593:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 11.59/2.74 % (3979478)Instruction limit reached!
% 11.59/2.74 % (3979478)------------------------------
% 11.59/2.74 % (3979478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979478)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979478)Termination reason: Instruction limit
% 11.59/2.74 % (3979478)Termination phase: Property scanning
% 11.59/2.74 % (3979478)Time elapsed: 0.089 s
% 11.59/2.74 % (3979478)Peak memory usage: 88 MB
% 11.59/2.74 % (3979478)Instructions burned: 113 (million)
% 11.59/2.74 % (3979479)Instruction limit reached!
% 11.59/2.74 % (3979479)------------------------------
% 11.59/2.74 % (3979479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979479)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979479)Termination reason: Instruction limit
% 11.59/2.74 % (3979479)Termination phase: Property scanning
% 11.59/2.74 % (3979479)Time elapsed: 0.098 s
% 11.59/2.74 % (3979479)Peak memory usage: 88 MB
% 11.59/2.74 % (3979479)Instructions burned: 127 (million)
% 11.59/2.74 % (3979476)Instruction limit reached!
% 11.59/2.74 % (3979476)------------------------------
% 11.59/2.74 % (3979476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979476)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979476)Termination reason: Instruction limit
% 11.59/2.74 % (3979476)Termination phase: Saturation
% 11.59/2.74 % (3979476)Time elapsed: 0.232 s
% 11.59/2.74 % (3979476)Peak memory usage: 91 MB
% 11.59/2.74 % (3979476)Instructions burned: 294 (million)
% 11.59/2.74 % (3979455)First to succeed.
% 11.59/2.74 % (3979455)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3979447"
% 11.59/2.74 % (3979484)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1276945529:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 11.59/2.74 % (3979485)lrs+10_1_sil=8000:sp=occurrence:random_seed=1743051347:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 11.59/2.74 % (3979487)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2714453077:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 11.59/2.74 % (3979484)Instruction limit reached!
% 11.59/2.74 % (3979484)------------------------------
% 11.59/2.74 % (3979484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.74 % (3979484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.74 % (3979484)CaDiCaL version: 2.1.3
% 11.59/2.74 % (3979484)Termination reason: Instruction limit
% 11.59/2.74 % (3979484)Termination phase: Property scanning
% 11.59/2.74 % (3979484)Time elapsed: 0.086 s
% 11.59/2.74 % (3979484)Peak memory usage: 85 MB
% 11.59/2.74 % (3979484)Instructions burned: 114 (million)
% 11.59/2.74 % (3979455)Refutation found. Thanks to Tanya!
% 11.59/2.74 % SZS status Theorem for theBenchmark
% 11.59/2.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/3.05 % (3979455)------------------------------
% 0.25/3.05 % (3979455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/3.05 % (3979455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/3.05 % (3979455)CaDiCaL version: 2.1.3
% 0.25/3.05 % (3979455)Termination reason: Refutation
% 0.25/3.05 % (3979455)Time elapsed: 1.217 s
% 0.25/3.05 % (3979455)Peak memory usage: 166 MB
% 0.25/3.05 % (3979455)Instructions burned: 2381 (million)
% 0.25/3.05 % (3979455)------------------------------
% 0.25/3.05 % (3979455)------------------------------
% 0.25/3.05 % (3979447)Success in time 1.974 s
% 0.25/3.05 % Vampire exiting
%------------------------------------------------------------------------------