TSTP Solution File: SWW474+6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW474+6 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 18:17:25 EDT 2024
% Result : Theorem 42.95s 6.68s
% Output : CNFRefutation 42.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 29 unt; 0 def)
% Number of atoms : 111 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 45 ~; 40 |; 0 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 12 con; 0-4 aty)
% Number of variables : 91 ( 4 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,axiom,
! [X2,X5,X8,X6] :
( hBOOL(hAPP(fun(hoare_1656922687triple(X2),bool),bool,hAPP(fun(hoare_1656922687triple(X2),bool),fun(fun(hoare_1656922687triple(X2),bool),bool),hoare_279057269derivs(X2),X8),X6))
=> ( hBOOL(hAPP(fun(hoare_1656922687triple(X2),bool),bool,hAPP(fun(hoare_1656922687triple(X2),bool),fun(fun(hoare_1656922687triple(X2),bool),bool),ord_less_eq(fun(hoare_1656922687triple(X2),bool)),X8),X5))
=> hBOOL(hAPP(fun(hoare_1656922687triple(X2),bool),bool,hAPP(fun(hoare_1656922687triple(X2),bool),fun(fun(hoare_1656922687triple(X2),bool),bool),hoare_279057269derivs(X2),X5),X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_thin) ).
fof(f76,axiom,
! [X2,X11] : hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),bot_bot(fun(X2,bool))),X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_empty__subsetI) ).
fof(f85,axiom,
! [X17] :
( hBOOL(hoare_1924220188gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP(com,bool,wt,X17))
=> hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X17)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_MGF) ).
fof(f126,axiom,
! [X0,X2,X1,X19,X28,X11] : hAPP(fun(X0,bool),fun(X2,bool),hAPP(fun(X0,X2),fun(fun(X0,bool),fun(X2,bool)),image(X0,X2),X19),hAPP(fun(X1,bool),fun(X0,bool),hAPP(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool)),image(X1,X0),X28),X11)) = hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),hAPP(fun(X1,X0),fun(X1,X2),hAPP(fun(X0,X2),fun(fun(X1,X0),fun(X1,X2)),combb(X0,X2,X1),X19),X28)),X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_image__image) ).
fof(f158,axiom,
! [X33,X34] :
( hBOOL(wT_bodies)
=> ( hAPP(pname,option(com),body,X33) = hAPP(com,option(com),some(com),X34)
=> hBOOL(hAPP(com,bool,wt,X34)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_WT__bodiesD) ).
fof(f255,axiom,
! [X2,X18] : hAPP(fun(X2,bool),fun(X2,bool),hAPP(X2,fun(fun(X2,bool),fun(X2,bool)),insert(X2),X18),bot_bot(fun(X2,bool))) = hAPP(option(X2),fun(X2,bool),set(X2),hAPP(X2,option(X2),some(X2),X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_Option_Oset_Osimps_I2_J) ).
fof(f615,axiom,
hBOOL(hoare_1924220188gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f616,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f620,axiom,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f622,conjecture,
hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
fof(f623,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
inference(negated_conjecture,[],[f622]) ).
fof(f670,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3))
=> ( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),ord_less_eq(fun(hoare_1656922687triple(X0),bool)),X2),X1))
=> hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3)) ) ),
inference(rectify,[],[f69]) ).
fof(f677,plain,
! [X0,X1] : hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),bot_bot(fun(X0,bool))),X1)),
inference(rectify,[],[f76]) ).
fof(f686,plain,
! [X0] :
( hBOOL(hoare_1924220188gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP(com,bool,wt,X0))
=> hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ) ) ),
inference(rectify,[],[f85]) ).
fof(f727,plain,
! [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),
inference(rectify,[],[f126]) ).
fof(f759,plain,
! [X0,X1] :
( hBOOL(wT_bodies)
=> ( hAPP(pname,option(com),body,X0) = hAPP(com,option(com),some(com),X1)
=> hBOOL(hAPP(com,bool,wt,X1)) ) ),
inference(rectify,[],[f158]) ).
fof(f855,plain,
! [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))) = hAPP(option(X0),fun(X0,bool),set(X0),hAPP(X0,option(X0),some(X0),X1)),
inference(rectify,[],[f255]) ).
fof(f1201,plain,
~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
inference(flattening,[],[f623]) ).
fof(f1214,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),ord_less_eq(fun(hoare_1656922687triple(X0),bool)),X2),X1))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3)) ),
inference(ennf_transformation,[],[f670]) ).
fof(f1215,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),ord_less_eq(fun(hoare_1656922687triple(X0),bool)),X2),X1))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3)) ),
inference(flattening,[],[f1214]) ).
fof(f1233,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1924220188gleton) ),
inference(ennf_transformation,[],[f686]) ).
fof(f1234,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1924220188gleton) ),
inference(flattening,[],[f1233]) ).
fof(f1282,plain,
! [X0,X1] :
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f759]) ).
fof(f1283,plain,
! [X0,X1] :
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f1282]) ).
fof(f1990,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),ord_less_eq(fun(hoare_1656922687triple(X0),bool)),X2),X1))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3)) ),
inference(cnf_transformation,[],[f1215]) ).
fof(f1998,plain,
! [X0,X1] : hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),bot_bot(fun(X0,bool))),X1)),
inference(cnf_transformation,[],[f677]) ).
fof(f2009,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1924220188gleton) ),
inference(cnf_transformation,[],[f1234]) ).
fof(f2067,plain,
! [X2,X3,X0,X1,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),
inference(cnf_transformation,[],[f727]) ).
fof(f2118,plain,
! [X0,X1] :
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f1283]) ).
fof(f2274,plain,
! [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))) = hAPP(option(X0),fun(X0,bool),set(X0),hAPP(X0,option(X0),some(X0),X1)),
inference(cnf_transformation,[],[f855]) ).
fof(f2738,plain,
hBOOL(hoare_1924220188gleton),
inference(cnf_transformation,[],[f615]) ).
fof(f2739,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f616]) ).
fof(f2743,plain,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
inference(cnf_transformation,[],[f620]) ).
fof(f2745,plain,
~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
inference(cnf_transformation,[],[f1201]) ).
cnf(c_118,plain,
( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),ord_less_eq(fun(hoare_1656922687triple(X0),bool)),X1),X2))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3))
| hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3)) ),
inference(cnf_transformation,[],[f1990]) ).
cnf(c_126,plain,
hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),bot_bot(fun(X0,bool))),X1)),
inference(cnf_transformation,[],[f1998]) ).
cnf(c_137,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1924220188gleton)
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ),
inference(cnf_transformation,[],[f2009]) ).
cnf(c_195,plain,
hAPP(fun(X0,bool),fun(X1,bool),hAPP(fun(X0,X1),fun(fun(X0,bool),fun(X1,bool)),image(X0,X1),hAPP(fun(X0,X2),fun(X0,X1),hAPP(fun(X2,X1),fun(fun(X0,X2),fun(X0,X1)),combb(X2,X1,X0),X3),X4)),X5) = hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),hAPP(fun(X0,bool),fun(X2,bool),hAPP(fun(X0,X2),fun(fun(X0,bool),fun(X2,bool)),image(X0,X2),X4),X5)),
inference(cnf_transformation,[],[f2067]) ).
cnf(c_246,plain,
( hAPP(com,option(com),some(com),X0) != hAPP(pname,option(com),body,X1)
| ~ hBOOL(wT_bodies)
| hBOOL(hAPP(com,bool,wt,X0)) ),
inference(cnf_transformation,[],[f2118]) ).
cnf(c_398,plain,
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(option(X0),fun(X0,bool),set(X0),hAPP(X0,option(X0),some(X0),X1)),
inference(cnf_transformation,[],[f2274]) ).
cnf(c_857,plain,
hBOOL(hoare_1924220188gleton),
inference(cnf_transformation,[],[f2738]) ).
cnf(c_858,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f2739]) ).
cnf(c_862,plain,
hAPP(com,option(com),some(com),y) = hAPP(pname,option(com),body,pn),
inference(cnf_transformation,[],[f2743]) ).
cnf(c_864,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
inference(cnf_transformation,[],[f2745]) ).
cnf(c_1442,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ),
inference(global_subsumption_just,[status(thm)],[c_137,c_858,c_857,c_137]) ).
cnf(c_1682,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ),
inference(prop_impl_just,[status(thm)],[c_1442]) ).
cnf(c_7957,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0))))) ),
inference(demodulation,[status(thm)],[c_1682,c_398]) ).
cnf(c_9148,plain,
~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y))))),
inference(demodulation,[status(thm)],[c_864,c_195,c_398]) ).
cnf(c_11607,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0))))) ),
inference(prop_impl_just,[status(thm)],[c_7957]) ).
cnf(c_11609,plain,
( hBOOL(hAPP(com,bool,wt,X0))
| hAPP(com,option(com),some(com),X0) != hAPP(pname,option(com),body,X1) ),
inference(prop_impl_just,[status(thm)],[c_858,c_246]) ).
cnf(c_11610,plain,
( hAPP(com,option(com),some(com),X0) != hAPP(pname,option(com),body,X1)
| hBOOL(hAPP(com,bool,wt,X0)) ),
inference(renaming,[status(thm)],[c_11609]) ).
cnf(c_35842,plain,
( hAPP(com,option(com),some(com),y) != hAPP(pname,option(com),body,pn)
| hBOOL(hAPP(com,bool,wt,y)) ),
inference(instantiation,[status(thm)],[c_11610]) ).
cnf(c_46501,plain,
( ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),ord_less_eq(fun(hoare_1656922687triple(state),bool)),X0),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),X0),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))))
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y))))) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_48168,plain,
( ~ hBOOL(hAPP(com,bool,wt,y))
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y))))) ),
inference(instantiation,[status(thm)],[c_11607]) ).
cnf(c_55309,plain,
( ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),ord_less_eq(fun(hoare_1656922687triple(state),bool)),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))))
| hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP(option(hoare_1656922687triple(state)),fun(hoare_1656922687triple(state),bool),set(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),option(hoare_1656922687triple(state)),some(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y))))) ),
inference(instantiation,[status(thm)],[c_46501]) ).
cnf(c_55310,plain,
hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),ord_less_eq(fun(hoare_1656922687triple(state),bool)),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))))),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_55311,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55310,c_55309,c_48168,c_35842,c_9148,c_862]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWW474+6 : TPTP v8.2.0. Released v5.3.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Jun 19 05:09:54 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 42.95/6.68 % SZS status Started for theBenchmark.p
% 42.95/6.68 % SZS status Theorem for theBenchmark.p
% 42.95/6.68
% 42.95/6.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 42.95/6.68
% 42.95/6.68 ------ iProver source info
% 42.95/6.68
% 42.95/6.68 git: date: 2024-06-12 09:56:46 +0000
% 42.95/6.68 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 42.95/6.68 git: non_committed_changes: false
% 42.95/6.68
% 42.95/6.68 ------ Parsing...
% 42.95/6.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 42.95/6.68
% 42.95/6.68 ------ Preprocessing... sup_sim: 295 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 42.95/6.68
% 42.95/6.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 42.95/6.68
% 42.95/6.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 42.95/6.68 ------ Proving...
% 42.95/6.68 ------ Problem Properties
% 42.95/6.68
% 42.95/6.68
% 42.95/6.68 clauses 692
% 42.95/6.68 conjectures 0
% 42.95/6.68 EPR 16
% 42.95/6.68 Horn 573
% 42.95/6.68 unary 202
% 42.95/6.68 binary 267
% 42.95/6.68 lits 1545
% 42.95/6.68 lits eq 462
% 42.95/6.68 fd_pure 0
% 42.95/6.68 fd_pseudo 0
% 42.95/6.68 fd_cond 0
% 42.95/6.68 fd_pseudo_cond 12
% 42.95/6.68 AC symbols 0
% 42.95/6.68
% 42.95/6.68 ------ Schedule dynamic 5 is on
% 42.95/6.68
% 42.95/6.68 ------ no conjectures: strip conj schedule
% 42.95/6.68
% 42.95/6.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 42.95/6.68
% 42.95/6.68
% 42.95/6.68 ------
% 42.95/6.68 Current options:
% 42.95/6.68 ------
% 42.95/6.68
% 42.95/6.68
% 42.95/6.68
% 42.95/6.68
% 42.95/6.68 ------ Proving...
% 42.95/6.68
% 42.95/6.68
% 42.95/6.68 % SZS status Theorem for theBenchmark.p
% 42.95/6.68
% 42.95/6.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 42.95/6.68
% 42.95/6.69
%------------------------------------------------------------------------------