%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW470+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Sun Sep 27 09:11:56 AM UTC 2026
% Result : Theorem 77.14s 25.04s
% Output : CNFRefutation 77.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 19 unt; 0 def)
% Number of atoms : 26 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 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 : 41 ( 1 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tsy_c_fFalse_res,hypothesis,
ti(bool,fFalse) = fFalse ).
fof(tsy_c_hAPP_arg1,axiom,
! [X0,X1,X2,X3] : hAPP(X0,X1,ti(fun(X0,X1),X2),X3) = hAPP(X0,X1,X2,X3) ).
fof(tsy_c_hAPP_arg2,axiom,
! [X0,X1,X2,X3] : hAPP(X0,X1,X2,ti(X0,X3)) = hAPP(X0,X1,X2,X3) ).
fof(fact_5_escape,axiom,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,X5),X6))
=> hBOOL(hAPP(fun('hoare$u509422987triple'(X0),bool),bool,hAPP(fun('hoare$u509422987triple'(X0),bool),fun(fun('hoare$u509422987triple'(X0),bool),bool),'hoare$u122391849derivs'(X0),X1),hAPP(fun('hoare$u509422987triple'(X0),bool),fun('hoare$u509422987triple'(X0),bool),hAPP('hoare$u509422987triple'(X0),fun(fun('hoare$u509422987triple'(X0),bool),fun('hoare$u509422987triple'(X0),bool)),insert('hoare$u509422987triple'(X0)),hAPP(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0),hAPP(com,fun(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0))),'hoare$u1008221573triple'(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$ubot'(fun('hoare$u509422987triple'(X0),bool))))) )
=> hBOOL(hAPP(fun('hoare$u509422987triple'(X0),bool),bool,hAPP(fun('hoare$u509422987triple'(X0),bool),fun(fun('hoare$u509422987triple'(X0),bool),bool),'hoare$u122391849derivs'(X0),X1),hAPP(fun('hoare$u509422987triple'(X0),bool),fun('hoare$u509422987triple'(X0),bool),hAPP('hoare$u509422987triple'(X0),fun(fun('hoare$u509422987triple'(X0),bool),fun('hoare$u509422987triple'(X0),bool)),insert('hoare$u509422987triple'(X0)),hAPP(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0),hAPP(com,fun(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0))),'hoare$u1008221573triple'(X0),X4),X2),X3)),'bot$ubot'(fun('hoare$u509422987triple'(X0),bool))))) ) ).
fof(help_COMBK_1_1_U,axiom,
! [X0,X1,X2,X3] : hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3) = ti(X1,X2) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse) ).
fof(conj_0,conjecture,
hBOOL(hAPP(fun('hoare$u509422987triple'('x$ua'),bool),bool,hAPP(fun('hoare$u509422987triple'('x$ua'),bool),fun(fun('hoare$u509422987triple'('x$ua'),bool),bool),'hoare$u122391849derivs'('x$ua'),g),hAPP(fun('hoare$u509422987triple'('x$ua'),bool),fun('hoare$u509422987triple'('x$ua'),bool),hAPP('hoare$u509422987triple'('x$ua'),fun(fun('hoare$u509422987triple'('x$ua'),bool),fun('hoare$u509422987triple'('x$ua'),bool)),insert('hoare$u509422987triple'('x$ua')),hAPP(fun('x$ua',fun(state,bool)),'hoare$u509422987triple'('x$ua'),hAPP(com,fun(fun('x$ua',fun(state,bool)),'hoare$u509422987triple'('x$ua')),hAPP(fun('x$ua',fun(state,bool)),fun(com,fun(fun('x$ua',fun(state,bool)),'hoare$u509422987triple'('x$ua'))),'hoare$u1008221573triple'('x$ua'),hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),combk(fun(state,bool),'x$ua'),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),hAPP(fun('x$ua',fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun('x$ua',fun(state,bool))),combc('x$ua',fun(state,bool),fun(state,bool)),hAPP(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),'x$ua'),combs(state,bool,bool)),hAPP(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),'x$ua'),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$ubot'(fun('hoare$u509422987triple'('x$ua'),bool))))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL(hAPP(fun('hoare$u509422987triple'('x$ua'),bool),bool,hAPP(fun('hoare$u509422987triple'('x$ua'),bool),fun(fun('hoare$u509422987triple'('x$ua'),bool),bool),'hoare$u122391849derivs'('x$ua'),g),hAPP(fun('hoare$u509422987triple'('x$ua'),bool),fun('hoare$u509422987triple'('x$ua'),bool),hAPP('hoare$u509422987triple'('x$ua'),fun(fun('hoare$u509422987triple'('x$ua'),bool),fun('hoare$u509422987triple'('x$ua'),bool)),insert('hoare$u509422987triple'('x$ua')),hAPP(fun('x$ua',fun(state,bool)),'hoare$u509422987triple'('x$ua'),hAPP(com,fun(fun('x$ua',fun(state,bool)),'hoare$u509422987triple'('x$ua')),hAPP(fun('x$ua',fun(state,bool)),fun(com,fun(fun('x$ua',fun(state,bool)),'hoare$u509422987triple'('x$ua'))),'hoare$u1008221573triple'('x$ua'),hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),combk(fun(state,bool),'x$ua'),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),hAPP(fun('x$ua',fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun('x$ua',fun(state,bool))),combc('x$ua',fun(state,bool),fun(state,bool)),hAPP(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),'x$ua'),combs(state,bool,bool)),hAPP(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),'x$ua'),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),'bot$ubot'(fun('hoare$u509422987triple'('x$ua'),bool))))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c22,plain,
ti(bool,fFalse) = fFalse,
inference(clausification,[status(esa)],[tsy_c_fFalse_res]) ).
cnf(c29,plain,
hAPP(X0,X1,ti(fun(X0,X1),X2),X3) = hAPP(X0,X1,X2,X3),
inference(clausification,[status(esa)],[tsy_c_hAPP_arg1]) ).
cnf(c30,plain,
hAPP(X0,X1,X2,ti(X0,X3)) = hAPP(X0,X1,X2,X3),
inference(clausification,[status(esa)],[tsy_c_hAPP_arg2]) ).
cnf(c48,plain,
( hBOOL(hAPP(fun('hoare$u509422987triple'(X0),bool),bool,hAPP(fun('hoare$u509422987triple'(X0),bool),fun(fun('hoare$u509422987triple'(X0),bool),bool),'hoare$u122391849derivs'(X0),X2),hAPP(fun('hoare$u509422987triple'(X0),bool),fun('hoare$u509422987triple'(X0),bool),hAPP('hoare$u509422987triple'(X0),fun(fun('hoare$u509422987triple'(X0),bool),fun('hoare$u509422987triple'(X0),bool)),insert('hoare$u509422987triple'(X0)),hAPP(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0),hAPP(com,fun(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0))),'hoare$u1008221573triple'(X0),X1),X3),X4)),'bot$ubot'(fun('hoare$u509422987triple'(X0),bool)))))
| hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X1,sK73(X0,X2,X3,X4,X1)),sK74(X0,X2,X3,X4,X1))) ),
inference(clausification,[status(esa)],[fact_5_escape]) ).
cnf(c224,plain,
hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3) = ti(X1,X2),
inference(clausification,[status(esa)],[help_COMBK_1_1_U]) ).
cnf(c232,plain,
~ hBOOL(fFalse),
inference(clausification,[status(esa)],[help_fFalse_1_1_U]) ).
cnf(c239,plain,
~ hBOOL(hAPP(fun('hoare$u509422987triple'('x$ua'),bool),bool,hAPP(fun('hoare$u509422987triple'('x$ua'),bool),fun(fun('hoare$u509422987triple'('x$ua'),bool),bool),'hoare$u122391849derivs'('x$ua'),g),hAPP(fun('hoare$u509422987triple'('x$ua'),bool),fun('hoare$u509422987triple'('x$ua'),bool),hAPP('hoare$u509422987triple'('x$ua'),fun(fun('hoare$u509422987triple'('x$ua'),bool),fun('hoare$u509422987triple'('x$ua'),bool)),insert('hoare$u509422987triple'('x$ua')),hAPP(fun('x$ua',fun(state,bool)),'hoare$u509422987triple'('x$ua'),hAPP(com,fun(fun('x$ua',fun(state,bool)),'hoare$u509422987triple'('x$ua')),hAPP(fun('x$ua',fun(state,bool)),fun(com,fun(fun('x$ua',fun(state,bool)),'hoare$u509422987triple'('x$ua'))),'hoare$u1008221573triple'('x$ua'),hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),combk(fun(state,bool),'x$ua'),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),hAPP(fun('x$ua',fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun('x$ua',fun(state,bool))),combc('x$ua',fun(state,bool),fun(state,bool)),hAPP(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),'x$ua'),combs(state,bool,bool)),hAPP(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),'x$ua'),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$ubot'(fun('hoare$u509422987triple'('x$ua'),bool))))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X2,sK73(X0,ti(fun('hoare$u509422987triple'(X0),bool),X1),X3,X4,X2)),sK74(X0,ti(fun('hoare$u509422987triple'(X0),bool),X1),X3,X4,X2)))
| hBOOL(hAPP(fun('hoare$u509422987triple'(X0),bool),bool,hAPP(fun('hoare$u509422987triple'(X0),bool),fun(fun('hoare$u509422987triple'(X0),bool),bool),'hoare$u122391849derivs'(X0),X1),hAPP(fun('hoare$u509422987triple'(X0),bool),fun('hoare$u509422987triple'(X0),bool),hAPP('hoare$u509422987triple'(X0),fun(fun('hoare$u509422987triple'(X0),bool),fun('hoare$u509422987triple'(X0),bool)),insert('hoare$u509422987triple'(X0)),hAPP(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0),hAPP(com,fun(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),'hoare$u509422987triple'(X0))),'hoare$u1008221573triple'(X0),X2),X3),X4)),'bot$ubot'(fun('hoare$u509422987triple'(X0),bool))))) ),
inference(superposition,[status(thm)],[c30,c48]) ).
cnf(d1,plain,
hBOOL(hAPP(state,bool,hAPP('x$ua',fun(state,bool),hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),combk(fun(state,bool),'x$ua'),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)),sK73('x$ua',ti(fun('hoare$u509422987triple'('x$ua'),bool),g),c,hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),hAPP(fun('x$ua',fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun('x$ua',fun(state,bool))),combc('x$ua',fun(state,bool),fun(state,bool)),hAPP(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),'x$ua'),combs(state,bool,bool)),hAPP(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),'x$ua'),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),combk(fun(state,bool),'x$ua'),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)))),sK74('x$ua',ti(fun('hoare$u509422987triple'('x$ua'),bool),g),c,hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),hAPP(fun('x$ua',fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun('x$ua',fun(state,bool))),combc('x$ua',fun(state,bool),fun(state,bool)),hAPP(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),'x$ua'),combs(state,bool,bool)),hAPP(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),'x$ua'),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$ua',fun(state,bool)),combk(fun(state,bool),'x$ua'),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
inference(resolution,[status(thm)],[d0,c239]) ).
cnf(d2,plain,
hBOOL(hAPP(state,bool,ti(fun(state,bool),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)),sK74('x$ua',ti(fun('hoare$u509422987triple'('x$ua'),bool),g),c,hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),hAPP(fun('x$ua',fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun('x$ua',fun(state,bool))),combc('x$ua',fun(state,bool),fun(state,bool)),hAPP(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),'x$ua'),combs(state,bool,bool)),hAPP(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),'x$ua'),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),combk(fun(state,bool),'x$ua'),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
inference(demodulation,[status(thm)],[d1,c224]) ).
cnf(d3,plain,
hBOOL(hAPP(state,bool,hAPP(bool,fun(state,bool),combk(bool,state),fFalse),sK74('x$ua',ti(fun('hoare$u509422987triple'('x$ua'),bool),g),c,hAPP(fun(state,bool),fun('x$ua',fun(state,bool)),hAPP(fun('x$ua',fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun('x$ua',fun(state,bool))),combc('x$ua',fun(state,bool),fun(state,bool)),hAPP(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun('x$ua',fun(state,fun(bool,bool))),fun('x$ua',fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),'x$ua'),combs(state,bool,bool)),hAPP(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun('x$ua',fun(state,bool)),fun('x$ua',fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),'x$ua'),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$ua',fun(state,bool)),combk(fun(state,bool),'x$ua'),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
inference(demodulation,[status(thm)],[d2,c29]) ).
cnf(d4,plain,
hBOOL(ti(bool,fFalse)),
inference(demodulation,[status(thm)],[d3,c224]) ).
cnf(d5,plain,
hBOOL(fFalse),
inference(demodulation,[status(thm)],[d4,c22]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c232,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW470+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 15:53:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 77.14/25.04 % SZS status Theorem for theBenchmark.p
% 77.14/25.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------