TSTP Solution File: SWW470+7 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW470+7 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:32:42 EDT 2024
% Result : Theorem 1.11s 0.65s
% Output : Refutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 20 unt; 0 def)
% Number of atoms : 38 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 3 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 11 con; 0-5 aty)
% Number of variables : 62 ( 58 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1946,plain,
$false,
inference(subsumption_resolution,[],[f1945,f1613]) ).
fof(f1613,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f1187]) ).
fof(f1187,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1945,plain,
hBOOL(fFalse),
inference(forward_demodulation,[],[f1944,f1463]) ).
fof(f1463,plain,
fFalse = ti(bool,fFalse),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
fFalse = ti(bool,fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1944,plain,
hBOOL(ti(bool,fFalse)),
inference(forward_demodulation,[],[f1943,f1482]) ).
fof(f1482,plain,
! [X2,X3,X0,X1] : ti(X1,X2) = hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3),
inference(cnf_transformation,[],[f1206]) ).
fof(f1206,plain,
! [X0,X1,X2,X3] : ti(X1,X2) = hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3),
inference(rectify,[],[f1179]) ).
fof(f1179,axiom,
! [X1,X2,X140,X141] : ti(X2,X140) = hAPP(X1,X2,hAPP(X2,fun(X1,X2),combk(X2,X1),X140),X141),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1943,plain,
hBOOL(hAPP(state,bool,hAPP(bool,fun(state,bool),combk(bool,state),fFalse),sK1(x_a,g,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)),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,[],[f1942,f1643]) ).
fof(f1643,plain,
! [X2,X3,X0,X1] : hAPP(X0,X1,ti(fun(X0,X1),X2),X3) = hAPP(X0,X1,X2,X3),
inference(cnf_transformation,[],[f1312]) ).
fof(f1312,plain,
! [X0,X1,X2,X3] : hAPP(X0,X1,ti(fun(X0,X1),X2),X3) = hAPP(X0,X1,X2,X3),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X2,X0,X3,X4] : hAPP(X2,X0,ti(fun(X2,X0),X3),X4) = hAPP(X2,X0,X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1942,plain,
hBOOL(hAPP(state,bool,ti(fun(state,bool),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)),sK1(x_a,g,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)),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,[],[f1929,f1482]) ).
fof(f1929,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)),sK0(x_a,g,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)),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)))),sK1(x_a,g,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)),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,[],[f1461,f1477]) ).
fof(f1477,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),X1),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),X2),X3)),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
| hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK0(X0,X1,X2,X3,X4)),sK1(X0,X1,X2,X3,X4))) ),
inference(cnf_transformation,[],[f1390]) ).
fof(f1390,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),X1),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),X2),X3)),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
| ( ~ hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X1),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),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),sK1(X0,X1,X2,X3,X4)))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,sK0(X0,X1,X2,X3,X4))))),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
& hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK0(X0,X1,X2,X3,X4)),sK1(X0,X1,X2,X3,X4))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1329,f1389]) ).
fof(f1389,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6] :
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X1),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),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,X5)))),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
& hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,X5),X6)) )
=> ( ~ hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X1),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),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),sK1(X0,X1,X2,X3,X4)))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,sK0(X0,X1,X2,X3,X4))))),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
& hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK0(X0,X1,X2,X3,X4)),sK1(X0,X1,X2,X3,X4))) ) ),
introduced(choice_axiom,[]) ).
fof(f1329,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),X1),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),X2),X3)),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
| ? [X5,X6] :
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X1),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),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,X5)))),bot_bot(fun(hoare_2118899576triple(X0),bool)))))
& hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,X5),X6)) ) ),
inference(ennf_transformation,[],[f1203]) ).
fof(f1203,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,X5),X6))
=> hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X1),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),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,X5)))),bot_bot(fun(hoare_2118899576triple(X0),bool))))) )
=> hBOOL(hAPP(fun(hoare_2118899576triple(X0),bool),bool,hAPP(fun(hoare_2118899576triple(X0),bool),fun(fun(hoare_2118899576triple(X0),bool),bool),hoare_1301688828derivs(X0),X1),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),X2),X3)),bot_bot(fun(hoare_2118899576triple(X0),bool))))) ),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X1,X5,X16,X17,X15] :
( ! [X19,X20] :
( hBOOL(hAPP(state,bool,hAPP(X1,fun(state,bool),X15,X19),X20))
=> hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X5),hAPP(fun(hoare_2118899576triple(X1),bool),fun(hoare_2118899576triple(X1),bool),hAPP(hoare_2118899576triple(X1),fun(fun(hoare_2118899576triple(X1),bool),fun(hoare_2118899576triple(X1),bool)),insert(hoare_2118899576triple(X1)),hAPP(fun(X1,fun(state,bool)),hoare_2118899576triple(X1),hAPP(com,fun(fun(X1,fun(state,bool)),hoare_2118899576triple(X1)),hAPP(fun(X1,fun(state,bool)),fun(com,fun(fun(X1,fun(state,bool)),hoare_2118899576triple(X1))),hoare_759811442triple(X1),hAPP(fun(state,bool),fun(X1,fun(state,bool)),combk(fun(state,bool),X1),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X20))),X16),hAPP(fun(state,bool),fun(X1,fun(state,bool)),combk(fun(state,bool),X1),hAPP(X1,fun(state,bool),X17,X19)))),bot_bot(fun(hoare_2118899576triple(X1),bool))))) )
=> hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X5),hAPP(fun(hoare_2118899576triple(X1),bool),fun(hoare_2118899576triple(X1),bool),hAPP(hoare_2118899576triple(X1),fun(fun(hoare_2118899576triple(X1),bool),fun(hoare_2118899576triple(X1),bool)),insert(hoare_2118899576triple(X1)),hAPP(fun(X1,fun(state,bool)),hoare_2118899576triple(X1),hAPP(com,fun(fun(X1,fun(state,bool)),hoare_2118899576triple(X1)),hAPP(fun(X1,fun(state,bool)),fun(com,fun(fun(X1,fun(state,bool)),hoare_2118899576triple(X1))),hoare_759811442triple(X1),X15),X16),X17)),bot_bot(fun(hoare_2118899576triple(X1),bool))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1461,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,[],[f1196]) ).
fof(f1196,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(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,[],[f1194]) ).
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWW470+7 : TPTP v8.2.0. Released v5.3.0.
% 0.13/0.14 % Command : run_vampire %s %d THM
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Jun 19 05:30:09 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 Running first-order theorem proving
% 0.14/0.37 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.57 % (28858)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.57 % (28859)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.61/0.58 % (28858)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.58 % (28861)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.61/0.58 % (28858)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.58 % (28862)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.61/0.58 % (28858)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.58 % (28863)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.61/0.58 % (28858)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.58 % (28864)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.61/0.58 % (28858)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.58 % (28860)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.61/0.58 % (28858)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.58 % (28865)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 1.11/0.64 % (28863)First to succeed.
% 1.11/0.64 % (28863)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28858"
% 1.11/0.65 % (28858)Running in auto input_syntax mode. Trying TPTP
% 1.11/0.65 % (28863)Refutation found. Thanks to Tanya!
% 1.11/0.65 % SZS status Theorem for theBenchmark
% 1.11/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.11/0.65 % (28863)------------------------------
% 1.11/0.65 % (28863)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.11/0.65 % (28863)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.11/0.65 % (28863)Termination reason: Refutation
% 1.11/0.65
% 1.11/0.65 % (28863)Memory used [KB]: 3609
% 1.11/0.65 % (28863)Time elapsed: 0.067 s
% 1.11/0.65 % (28863)Instructions burned: 131 (million)
% 1.11/0.65 % (28863)------------------------------
% 1.11/0.65 % (28863)------------------------------
% 1.11/0.65 % (28858)Success in time 0.12 s
%------------------------------------------------------------------------------