%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW474+7 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:12:00 AM UTC 2026
% Result : Theorem 31.67s 15.84s
% Output : CNFRefutation 31.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 26 unt; 0 def)
% Number of atoms : 63 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 23 ~; 17 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 12 con; 0-4 aty)
% Number of variables : 62 ( 6 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tsy_c_hAPP_res,axiom,
! [X0,X1,X2,X3] : ti(X0,hAPP(X1,X0,X2,X3)) = hAPP(X1,X0,X2,X3) ).
fof(fact_0_empty,axiom,
! [X0,X1] : hBOOL(hAPP(fun('hoare$u2118899576triple'(X0),bool),bool,hAPP(fun('hoare$u2118899576triple'(X0),bool),fun(fun('hoare$u2118899576triple'(X0),bool),bool),'hoare$u1301688828derivs'(X0),X1),'bot$ubot'(fun('hoare$u2118899576triple'(X0),bool)))) ).
fof(fact_4_cut,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun('hoare$u2118899576triple'(X0),bool),bool,hAPP(fun('hoare$u2118899576triple'(X0),bool),fun(fun('hoare$u2118899576triple'(X0),bool),bool),'hoare$u1301688828derivs'(X0),X2),X3))
=> ( hBOOL(hAPP(fun('hoare$u2118899576triple'(X0),bool),bool,hAPP(fun('hoare$u2118899576triple'(X0),bool),fun(fun('hoare$u2118899576triple'(X0),bool),bool),'hoare$u1301688828derivs'(X0),X1),X2))
=> hBOOL(hAPP(fun('hoare$u2118899576triple'(X0),bool),bool,hAPP(fun('hoare$u2118899576triple'(X0),bool),fun(fun('hoare$u2118899576triple'(X0),bool),bool),'hoare$u1301688828derivs'(X0),X1),X3)) ) ) ).
fof(fact_19_MGF,axiom,
! [X0] :
( hBOOL('hoare$u511481251gleton')
=> ( hBOOL('wT$ubodies')
=> ( hBOOL(hAPP(com,bool,wt,X0))
=> hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))),hAPP(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool),hAPP('hoare$u2118899576triple'(state),fun(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool)),insert('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',X0)),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))))) ) ) ) ).
fof(fact_60_image__image,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(fun(X0,bool),fun(X1,bool),hAPP(fun(X0,X1),fun(fun(X0,bool),fun(X1,bool)),image(X0,X1),X3),hAPP(fun(X2,bool),fun(X0,bool),hAPP(fun(X2,X0),fun(fun(X2,bool),fun(X0,bool)),image(X2,X0),X4),X5)) = hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),hAPP(fun(X2,X0),fun(X2,X1),hAPP(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1)),combb(X0,X1,X2),X3),X4)),X5) ).
fof(fact_77_Collect__def,axiom,
! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = ti(fun(X0,bool),X1) ).
fof(fact_90_singleton__conv2,axiom,
! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),'bot$ubot'(fun(X0,bool))) ).
fof(fact_92_WT__bodiesD,axiom,
! [X0,X1] :
( hBOOL('wT$ubodies')
=> ( hAPP(pname,option(com),body,X0) = hAPP(com,option(com),some(com),X1)
=> hBOOL(hAPP(com,bool,wt,X1)) ) ) ).
fof(conj_0,hypothesis,
hBOOL('hoare$u511481251gleton') ).
fof(conj_1,hypothesis,
hBOOL('wT$ubodies') ).
fof(conj_5,hypothesis,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y) ).
fof(conj_7,conjecture,
hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),hAPP(fun(pname,bool),fun('hoare$u2118899576triple'(state),bool),hAPP(fun(pname,'hoare$u2118899576triple'(state)),fun(fun(pname,bool),fun('hoare$u2118899576triple'(state),bool)),image(pname,'hoare$u2118899576triple'(state)),hAPP(fun(pname,com),fun(pname,'hoare$u2118899576triple'(state)),hAPP(fun(com,'hoare$u2118899576triple'(state)),fun(fun(pname,com),fun(pname,'hoare$u2118899576triple'(state))),combb(com,'hoare$u2118899576triple'(state),pname),'hoare$uMirabelle$uMGT'),'body$u1')),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool),hAPP('hoare$u2118899576triple'(state),fun(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool)),insert('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',y)),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),hAPP(fun(pname,bool),fun('hoare$u2118899576triple'(state),bool),hAPP(fun(pname,'hoare$u2118899576triple'(state)),fun(fun(pname,bool),fun('hoare$u2118899576triple'(state),bool)),image(pname,'hoare$u2118899576triple'(state)),hAPP(fun(pname,com),fun(pname,'hoare$u2118899576triple'(state)),hAPP(fun(com,'hoare$u2118899576triple'(state)),fun(fun(pname,com),fun(pname,'hoare$u2118899576triple'(state))),combb(com,'hoare$u2118899576triple'(state),pname),'hoare$uMirabelle$uMGT'),'body$u1')),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool),hAPP('hoare$u2118899576triple'(state),fun(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool)),insert('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',y)),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))))),
inference(negate_conjecture,[status(cth)],[conj_7]) ).
cnf(c46,plain,
ti(X0,hAPP(X1,X0,X2,X3)) = hAPP(X1,X0,X2,X3),
inference(clausification,[status(esa)],[tsy_c_hAPP_res]) ).
cnf(c53,plain,
hBOOL(hAPP(fun('hoare$u2118899576triple'(X0),bool),bool,hAPP(fun('hoare$u2118899576triple'(X0),bool),fun(fun('hoare$u2118899576triple'(X0),bool),bool),'hoare$u1301688828derivs'(X0),X1),'bot$ubot'(fun('hoare$u2118899576triple'(X0),bool)))),
inference(clausification,[status(esa)],[fact_0_empty]) ).
cnf(c57,plain,
( hBOOL(hAPP(fun('hoare$u2118899576triple'(X0),bool),bool,hAPP(fun('hoare$u2118899576triple'(X0),bool),fun(fun('hoare$u2118899576triple'(X0),bool),bool),'hoare$u1301688828derivs'(X0),X3),X2))
| ~ hBOOL(hAPP(fun('hoare$u2118899576triple'(X0),bool),bool,hAPP(fun('hoare$u2118899576triple'(X0),bool),fun(fun('hoare$u2118899576triple'(X0),bool),bool),'hoare$u1301688828derivs'(X0),X3),X1))
| ~ hBOOL(hAPP(fun('hoare$u2118899576triple'(X0),bool),bool,hAPP(fun('hoare$u2118899576triple'(X0),bool),fun(fun('hoare$u2118899576triple'(X0),bool),bool),'hoare$u1301688828derivs'(X0),X1),X2)) ),
inference(clausification,[status(esa)],[fact_4_cut]) ).
cnf(c75,plain,
( hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))),hAPP(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool),hAPP('hoare$u2118899576triple'(state),fun(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool)),insert('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',X0)),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL('wT$ubodies')
| ~ hBOOL('hoare$u511481251gleton') ),
inference(clausification,[status(esa)],[fact_19_MGF]) ).
cnf(c124,plain,
hAPP(fun(X0,bool),fun(X1,bool),hAPP(fun(X0,X1),fun(fun(X0,bool),fun(X1,bool)),image(X0,X1),X2),hAPP(fun(X3,bool),fun(X0,bool),hAPP(fun(X3,X0),fun(fun(X3,bool),fun(X0,bool)),image(X3,X0),X4),X5)) = hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),hAPP(fun(X3,X0),fun(X3,X1),hAPP(fun(X0,X1),fun(fun(X3,X0),fun(X3,X1)),combb(X0,X1,X3),X2),X4)),X5),
inference(clausification,[status(esa)],[fact_60_image__image]) ).
cnf(c154,plain,
hAPP(fun(X0,bool),fun(X0,bool),collect(X0),X1) = ti(fun(X0,bool),X1),
inference(clausification,[status(esa)],[fact_77_Collect__def]) ).
cnf(c174,plain,
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$ubot'(fun(X0,bool))),
inference(clausification,[status(esa)],[fact_90_singleton__conv2]) ).
cnf(c177,plain,
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
| ~ hBOOL('wT$ubodies') ),
inference(clausification,[status(esa)],[fact_92_WT__bodiesD]) ).
cnf(c1124,plain,
hBOOL('hoare$u511481251gleton'),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c1125,plain,
hBOOL('wT$ubodies'),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c1129,plain,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
inference(clausification,[status(esa)],[conj_5]) ).
cnf(c1131,plain,
~ hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),hAPP(fun(pname,bool),fun('hoare$u2118899576triple'(state),bool),hAPP(fun(pname,'hoare$u2118899576triple'(state)),fun(fun(pname,bool),fun('hoare$u2118899576triple'(state),bool)),image(pname,'hoare$u2118899576triple'(state)),hAPP(fun(pname,com),fun(pname,'hoare$u2118899576triple'(state)),hAPP(fun(com,'hoare$u2118899576triple'(state)),fun(fun(pname,com),fun(pname,'hoare$u2118899576triple'(state))),combb(com,'hoare$u2118899576triple'(state),pname),'hoare$uMirabelle$uMGT'),'body$u1')),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool),hAPP('hoare$u2118899576triple'(state),fun(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool)),insert('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',y)),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1) ),
inference(resolution,[status(thm)],[c1125,c177]) ).
cnf(d1,plain,
( hBOOL(hAPP(com,bool,wt,y))
| hAPP(pname,option(com),body,X0) != hAPP(pname,option(com),body,pn) ),
inference(superposition,[status(thm)],[c1129,d0]) ).
cnf(d2,plain,
ti(fun(X0,bool),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$ubot'(fun(X0,bool))),
inference(demodulation,[status(thm)],[c174,c154]) ).
cnf(d3,plain,
hAPP(X0,fun(X0,bool),fequal(X0),X1) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),'bot$ubot'(fun(X0,bool))),
inference(demodulation,[status(thm)],[d2,c46]) ).
cnf(d4,plain,
~ hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),hAPP(fun(com,bool),fun('hoare$u2118899576triple'(state),bool),hAPP(fun(com,'hoare$u2118899576triple'(state)),fun(fun(com,bool),fun('hoare$u2118899576triple'(state),bool)),image(com,'hoare$u2118899576triple'(state)),'hoare$uMirabelle$uMGT'),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),'body$u1'),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool),hAPP('hoare$u2118899576triple'(state),fun(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool)),insert('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',y)),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))))),
inference(demodulation,[status(thm)],[c1131,c124]) ).
cnf(d5,plain,
~ hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),hAPP(fun(com,bool),fun('hoare$u2118899576triple'(state),bool),hAPP(fun(com,'hoare$u2118899576triple'(state)),fun(fun(com,bool),fun('hoare$u2118899576triple'(state),bool)),image(com,'hoare$u2118899576triple'(state)),'hoare$uMirabelle$uMGT'),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),'body$u1'),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP('hoare$u2118899576triple'(state),fun('hoare$u2118899576triple'(state),bool),fequal('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',y)))),
inference(demodulation,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))),hAPP(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool),hAPP('hoare$u2118899576triple'(state),fun(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool)),insert('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',X0)),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool)))))
| ~ hBOOL('wT$ubodies') ),
inference(resolution,[status(thm)],[c1124,c75]) ).
cnf(d7,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))),hAPP(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool),hAPP('hoare$u2118899576triple'(state),fun(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool)),insert('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',X0)),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))))) ),
inference(resolution,[status(thm)],[c1125,d6]) ).
cnf(d8,plain,
( ~ hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),X1),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))))
| hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),X1),hAPP(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool),hAPP('hoare$u2118899576triple'(state),fun(fun('hoare$u2118899576triple'(state),bool),fun('hoare$u2118899576triple'(state),bool)),insert('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',X0)),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0)) ),
inference(resolution,[status(thm)],[d7,c57]) ).
cnf(d9,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),X1),'bot$ubot'(fun('hoare$u2118899576triple'(state),bool))))
| hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),X1),hAPP('hoare$u2118899576triple'(state),fun('hoare$u2118899576triple'(state),bool),fequal('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',X0)))) ),
inference(demodulation,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
( ~ hBOOL(hAPP(com,bool,wt,X1))
| hBOOL(hAPP(fun('hoare$u2118899576triple'(state),bool),bool,hAPP(fun('hoare$u2118899576triple'(state),bool),fun(fun('hoare$u2118899576triple'(state),bool),bool),'hoare$u1301688828derivs'(state),X0),hAPP('hoare$u2118899576triple'(state),fun('hoare$u2118899576triple'(state),bool),fequal('hoare$u2118899576triple'(state)),hAPP(com,'hoare$u2118899576triple'(state),'hoare$uMirabelle$uMGT',X1)))) ),
inference(resolution,[status(thm)],[c53,d9]) ).
cnf(d11,plain,
~ hBOOL(hAPP(com,bool,wt,y)),
inference(resolution,[status(thm)],[d10,d5]) ).
cnf(d12,plain,
hAPP(pname,option(com),body,X0) != hAPP(pname,option(com),body,pn),
inference(resolution,[status(thm)],[d11,d1]) ).
cnf(d13,plain,
$false,
inference(equality_resolution,[status(thm)],[d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW474+7 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 16:02:36 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.67/15.84 % SZS status Theorem for theBenchmark.p
% 31.67/15.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------