%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n002.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 01:40:06 PM UTC 2026
% Result : Theorem 34.14s 5.29s
% Output : Refutation 34.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 34 unt; 0 def)
% Number of atoms : 52 ( 19 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 6 |; 3 &)
% ( 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 : 29 ( 29 usr; 11 con; 0-5 aty)
% Number of variables : 83 ( 78 !; 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(f95,axiom,
! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_singleton__conv2) ).
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(f1270,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(f2369,plain,
fFalse = ti(bool,fFalse),
inference(cnf_transformation,[],[f67]) ).
fof(f2376,plain,
! [X2,X3,X0,X1] : hAPP(X0,X1,ti(fun(X0,X1),X2),X3) = hAPP(X0,X1,X2,X3),
inference(cnf_transformation,[],[f74]) ).
fof(f2408,plain,
! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)) = 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,[],[f95]) ).
fof(f2454,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(f2468,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK19(X0,X1,X2,X3,X4)),sK20(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))))) ),
inference(cnf_transformation,[],[f1270]) ).
fof(f3883,plain,
! [X0,X1] : ti(X0,X1) = hAPP(X0,X0,combi(X0),X1),
inference(cnf_transformation,[],[f1178]) ).
fof(f3884,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(f3892,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f1187]) ).
fof(f3899,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(f3966,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,[],[f2369,f2454]) ).
fof(f3973,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,[],[f2376,f2454]) ).
fof(f4324,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,[],[f3883,f2454]) ).
fof(f4325,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,[],[f3884,f2454]) ).
fof(f4437,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK19(X0,X1,X2,X3,X4)),sK20(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))))) ),
inference(consistent_polarity_flipping,[],[f2468]) ).
fof(f5561,plain,
hBOOL(fFalse),
inference(consistent_polarity_flipping,[],[f3892]) ).
fof(f5567,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(consistent_polarity_flipping,[],[f3899]) ).
fof(f6998,plain,
fFalse = hAPP(bool,bool,combi(bool),fFalse),
inference(superposition,[],[f4324,f3966]) ).
fof(f9907,plain,
! [X2,X3,X0,X1] : hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3) = hAPP(X1,X1,combi(X1),X2),
inference(forward_demodulation,[],[f4325,f4324]) ).
fof(f27561,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,[],[f3973,f4324]) ).
fof(f45443,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),collect(hoare_2118899576triple(X0)),hAPP(hoare_2118899576triple(X0),fun(hoare_2118899576triple(X0),bool),fequal(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)))))
| ~ hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK19(X0,X1,X2,X3,X4)),sK20(X0,X1,X2,X3,X4))) ),
inference(forward_demodulation,[],[f4437,f2408]) ).
fof(f65823,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),collect(hoare_2118899576triple(x_a)),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(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))))))),
inference(forward_demodulation,[],[f5567,f2408]) ).
fof(f67259,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,[],[f65823,f45443]) ).
fof(f67264,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,[],[f67259,f9907]) ).
fof(f67266,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,[],[f67264,f27561]) ).
fof(f67268,plain,
~ hBOOL(hAPP(bool,bool,combi(bool),fFalse)),
inference(forward_demodulation,[],[f67266,f9907]) ).
fof(f67270,plain,
~ hBOOL(fFalse),
inference(forward_demodulation,[],[f67268,f6998]) ).
fof(f67272,plain,
$false,
inference(forward_subsumption_resolution,[],[f67270,f5561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW470+7 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 14:05:37 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.17/4.57 % (363814)Will run a generic schedule for satisfiability detection.
% 29.17/4.57 % (363819)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=109218649_2998 on theBenchmark for (2998ds/0Mi)
% 29.17/4.57 % (363820)% WARNING: option uhcvi not known.
% 29.17/4.57 % (363820)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=191571055:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 29.17/4.57 % (363821)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2973854394:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 29.17/4.57 % (363822)dis+10_1_sil=32000:sp=arity:random_seed=409490977:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 29.17/4.57 % (363823)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3697140519:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 29.17/4.57 % (363824)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3624484044:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 29.17/4.57 % (363825)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3988882175:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 29.17/4.57 % (363822)Instruction limit reached!
% 29.17/4.57 % (363822)------------------------------
% 29.17/4.57 % (363822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.17/4.57 % (363822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/4.57 % (363822)CaDiCaL version: 2.1.3
% 29.17/4.57 % (363822)Termination reason: Instruction limit
% 29.17/4.57 % (363822)Termination phase: Property scanning
% 29.17/4.57 % (363822)Time elapsed: 0.045 s
% 29.17/4.57 % (363822)Peak memory usage: 13 MB
% 29.17/4.57 % (363822)Instructions burned: 106 (million)
% 29.17/4.57 % (363823)Instruction limit reached!
% 29.17/4.57 % (363823)------------------------------
% 29.17/4.57 % (363823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.17/4.57 % (363823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/4.57 % (363823)CaDiCaL version: 2.1.3
% 29.17/4.57 % (363823)Termination reason: Instruction limit
% 29.17/4.57 % (363823)Termination phase: Property scanning
% 29.17/4.57 % (363823)Time elapsed: 0.050 s
% 29.17/4.57 % (363823)Peak memory usage: 13 MB
% 29.17/4.57 % (363823)Instructions burned: 118 (million)
% 29.17/4.57 % (363824)Instruction limit reached!
% 29.17/4.57 % (363824)------------------------------
% 29.17/4.57 % (363824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.17/4.57 % (363824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/4.57 % (363824)CaDiCaL version: 2.1.3
% 29.17/4.57 % (363824)Termination reason: Instruction limit
% 29.17/4.57 % (363824)Termination phase: Property scanning
% 29.17/4.57 % (363824)Time elapsed: 0.056 s
% 29.17/4.57 % (363824)Peak memory usage: 13 MB
% 29.17/4.57 % (363824)Instructions burned: 131 (million)
% 29.17/4.57 % (363833)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1425513096:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 29.17/4.57 % (363825)Instruction limit reached!
% 29.17/4.57 % (363825)------------------------------
% 29.17/4.57 % (363825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.17/4.57 % (363825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/4.57 % (363825)CaDiCaL version: 2.1.3
% 29.17/4.57 % (363825)Termination reason: Instruction limit
% 29.17/4.57 % (363825)Termination phase: Property scanning
% 29.17/4.57 % (363825)Time elapsed: 0.067 s
% 29.17/4.57 % (363825)Peak memory usage: 13 MB
% 29.17/4.57 % (363825)Instructions burned: 162 (million)
% 29.17/4.57 % (363834)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4256739475:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 29.17/4.57 % (363835)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3447992946:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 29.17/4.57 % (363837)ott-21_1_sil=16000:fs=off:random_seed=2906407333:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 29.17/4.57 % (363834)Instruction limit reached!
% 29.17/4.57 % (363834)------------------------------
% 29.17/4.57 % (363834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.17/4.57 % (363834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/4.57 % (363834)CaDiCaL version: 2.1.3
% 29.17/4.57 % (363834)Termination reason: Instruction limit
% 34.14/5.29 % (363834)Termination phase: Property scanning
% 34.14/5.29 % (363834)Time elapsed: 0.055 s
% 34.14/5.29 % (363834)Peak memory usage: 13 MB
% 34.14/5.29 % (363834)Instructions burned: 133 (million)
% 34.14/5.29 % (363841)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3254860246:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 34.14/5.29 % (363837)Instruction limit reached!
% 34.14/5.29 % (363837)------------------------------
% 34.14/5.29 % (363837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363837)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363837)Termination reason: Instruction limit
% 34.14/5.29 % (363837)Termination phase: Property scanning
% 34.14/5.29 % (363837)Time elapsed: 0.072 s
% 34.14/5.29 % (363837)Peak memory usage: 13 MB
% 34.14/5.29 % (363837)Instructions burned: 180 (million)
% 34.14/5.29 % (363843)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3309869303:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 34.14/5.29 % (363833)Instruction limit reached!
% 34.14/5.29 % (363833)------------------------------
% 34.14/5.29 % (363833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363833)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363833)Termination reason: Instruction limit
% 34.14/5.29 % (363833)Termination phase: Finite model building preprocessing
% 34.14/5.29 % (363833)Time elapsed: 0.307 s
% 34.14/5.29 % (363833)Peak memory usage: 19 MB
% 34.14/5.29 % (363833)Instructions burned: 715 (million)
% 34.14/5.29 % (363841)Instruction limit reached!
% 34.14/5.29 % (363841)------------------------------
% 34.14/5.29 % (363841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363841)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363841)Termination reason: Instruction limit
% 34.14/5.29 % (363841)Termination phase: Saturation
% 34.14/5.29 % (363841)Time elapsed: 0.234 s
% 34.14/5.29 % (363841)Peak memory usage: 16 MB
% 34.14/5.29 % (363841)Instructions burned: 478 (million)
% 34.14/5.29 % (363845)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3216207820:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 34.14/5.29 % (363846)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=332282172:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 34.14/5.29 % (363835)Instruction limit reached!
% 34.14/5.29 % (363835)------------------------------
% 34.14/5.29 % (363835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363835)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363835)Termination reason: Instruction limit
% 34.14/5.29 % (363835)Termination phase: Saturation
% 34.14/5.29 % (363835)Time elapsed: 0.355 s
% 34.14/5.29 % (363835)Peak memory usage: 19 MB
% 34.14/5.29 % (363835)Instructions burned: 686 (million)
% 34.14/5.29 % (363849)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2309560203:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 34.14/5.29 % (363843)Instruction limit reached!
% 34.14/5.29 % (363843)------------------------------
% 34.14/5.29 % (363843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363843)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363843)Termination reason: Instruction limit
% 34.14/5.29 % (363843)Termination phase: Finite model building preprocessing
% 34.14/5.29 % (363843)Time elapsed: 0.392 s
% 34.14/5.29 % (363843)Peak memory usage: 20 MB
% 34.14/5.29 % (363843)Instructions burned: 867 (million)
% 34.14/5.29 % (363851)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3653087732:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 34.14/5.29 % (363846)Instruction limit reached!
% 34.14/5.29 % (363846)------------------------------
% 34.14/5.29 % (363846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363846)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363846)Termination reason: Instruction limit
% 34.14/5.29 % (363846)Termination phase: Finite model building preprocessing
% 34.14/5.29 % (363846)Time elapsed: 0.403 s
% 34.14/5.29 % (363846)Peak memory usage: 20 MB
% 34.14/5.29 % (363846)Instructions burned: 889 (million)
% 34.14/5.29 % (363849)Instruction limit reached!
% 34.14/5.29 % (363849)------------------------------
% 34.14/5.29 % (363849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363849)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363849)Termination reason: Instruction limit
% 34.14/5.29 % (363849)Termination phase: Saturation
% 34.14/5.29 % (363849)Time elapsed: 0.355 s
% 34.14/5.29 % (363849)Peak memory usage: 19 MB
% 34.14/5.29 % (363849)Instructions burned: 692 (million)
% 34.14/5.29 % (363853)fmb+10_1_sil=64000:random_seed=4260944469:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 34.14/5.29 % (363854)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2076970242:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 34.14/5.29 % (363851)Instruction limit reached!
% 34.14/5.29 % (363851)------------------------------
% 34.14/5.29 % (363851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363851)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363851)Termination reason: Instruction limit
% 34.14/5.29 % (363851)Termination phase: Saturation
% 34.14/5.29 % (363851)Time elapsed: 0.405 s
% 34.14/5.29 % (363851)Peak memory usage: 20 MB
% 34.14/5.29 % (363851)Instructions burned: 879 (million)
% 34.14/5.29 % (363857)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2629964240:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 34.14/5.29 % (363845)Instruction limit reached!
% 34.14/5.29 % (363845)------------------------------
% 34.14/5.29 % (363845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363845)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363845)Termination reason: Instruction limit
% 34.14/5.29 % (363845)Termination phase: Saturation
% 34.14/5.29 % (363845)Time elapsed: 0.635 s
% 34.14/5.29 % (363845)Peak memory usage: 24 MB
% 34.14/5.29 % (363845)Instructions burned: 1180 (million)
% 34.14/5.29 % (363859)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3774933851:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 34.14/5.29 % (363857)Instruction limit reached!
% 34.14/5.29 % (363857)------------------------------
% 34.14/5.29 % (363857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363857)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363857)Termination reason: Instruction limit
% 34.14/5.29 % (363857)Termination phase: Finite model building preprocessing
% 34.14/5.29 % (363857)Time elapsed: 0.418 s
% 34.14/5.29 % (363857)Peak memory usage: 21 MB
% 34.14/5.29 % (363857)Instructions burned: 921 (million)
% 34.14/5.29 % (363861)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1930814427:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 34.14/5.29 % (363861)Instruction limit reached!
% 34.14/5.29 % (363861)------------------------------
% 34.14/5.29 % (363861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363861)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363861)Termination reason: Instruction limit
% 34.14/5.29 % (363861)Termination phase: Saturation
% 34.14/5.29 % (363861)Time elapsed: 0.628 s
% 34.14/5.29 % (363861)Peak memory usage: 18 MB
% 34.14/5.29 % (363861)Instructions burned: 1474 (million)
% 34.14/5.29 % (363863)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1132040008:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 34.14/5.29 % (363859)Instruction limit reached!
% 34.14/5.29 % (363859)------------------------------
% 34.14/5.29 % (363859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363859)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363859)Termination reason: Instruction limit
% 34.14/5.29 % (363859)Termination phase: Saturation
% 34.14/5.29 % (363859)Time elapsed: 2.777 s
% 34.14/5.29 % (363859)Peak memory usage: 35 MB
% 34.14/5.29 % (363859)Instructions burned: 5133 (million)
% 34.14/5.29 % (363865)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=262783059:fmbsr=2.30978:i=2174_2956 on theBenchmark for (2956ds/2174Mi)
% 34.14/5.29 % (363820) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-363814-363820"...
% 34.14/5.29 % (363820)...printing done.
% 34.14/5.29 % (363820)Refutation found. Thanks to Tanya!
% 34.14/5.29 % SZS status Theorem for theBenchmark
% 34.14/5.29 % SZS output start Proof for theBenchmark
% See solution above
% 34.14/5.29 % (363820)------------------------------
% 34.14/5.29 % (363820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.14/5.29 % (363820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/5.29 % (363820)CaDiCaL version: 2.1.3
% 34.14/5.29 % (363820)Termination reason: Refutation
% 34.14/5.29 % (363820)Time elapsed: 4.873 s
% 34.14/5.29 % (363820)Peak memory usage: 44 MB
% 34.14/5.29 % (363820)Instructions burned: 8580 (million)
% 34.14/5.29 % (363814)Success in time 5.066 s
% 34.14/5.29 % Vampire exiting
%------------------------------------------------------------------------------