TSTP Solution File: SWW474+5 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW474+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %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 : Fri Sep 1 00:39:26 EDT 2023
% Result : Theorem 7.59s 1.67s
% Output : CNFRefutation 7.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 31 unt; 0 def)
% Number of atoms : 124 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 111 ( 51 ~; 46 |; 0 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 103 ( 8 sgn; 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X2,X5,X8,X6] :
( hBOOL(hAPP(fun(hoare_509422987triple(X2),bool),bool,hAPP(fun(hoare_509422987triple(X2),bool),fun(fun(hoare_509422987triple(X2),bool),bool),hoare_122391849derivs(X2),X8),X6))
=> ( hBOOL(hAPP(fun(hoare_509422987triple(X2),bool),bool,hAPP(fun(hoare_509422987triple(X2),bool),fun(fun(hoare_509422987triple(X2),bool),bool),ord_less_eq(fun(hoare_509422987triple(X2),bool)),X8),X5))
=> hBOOL(hAPP(fun(hoare_509422987triple(X2),bool),bool,hAPP(fun(hoare_509422987triple(X2),bool),fun(fun(hoare_509422987triple(X2),bool),bool),hoare_122391849derivs(X2),X5),X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_thin) ).
fof(f48,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(f57,axiom,
! [X17] :
( hBOOL(hoare_1883395792gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP(com,bool,wt,X17))
=> hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X17)),bot_bot(fun(hoare_509422987triple(state),bool))))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_MGF) ).
fof(f98,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(f128,axiom,
! [X2,X14] : hAPP(fun(X2,bool),fun(X2,bool),hAPP(X2,fun(fun(X2,bool),fun(X2,bool)),insert(X2),X14),bot_bot(fun(X2,bool))) = hAPP(fun(X2,bool),fun(X2,bool),collect(X2),hAPP(X2,fun(X2,bool),fequal(X2),X14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_singleton__conv2) ).
fof(f130,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(f162,axiom,
hBOOL(hoare_1883395792gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f163,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f167,axiom,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f169,conjecture,
hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
fof(f170,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
inference(negated_conjecture,[],[f169]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3))
=> ( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),ord_less_eq(fun(hoare_509422987triple(X0),bool)),X2),X1))
=> hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3)) ) ),
inference(rectify,[],[f41]) ).
fof(f201,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,[],[f48]) ).
fof(f210,plain,
! [X0] :
( hBOOL(hoare_1883395792gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP(com,bool,wt,X0))
=> hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) ) ) ),
inference(rectify,[],[f57]) ).
fof(f251,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,[],[f98]) ).
fof(f281,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(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)),
inference(rectify,[],[f128]) ).
fof(f283,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,[],[f130]) ).
fof(f312,plain,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
inference(flattening,[],[f170]) ).
fof(f316,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),ord_less_eq(fun(hoare_509422987triple(X0),bool)),X2),X1))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
inference(ennf_transformation,[],[f194]) ).
fof(f317,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),ord_less_eq(fun(hoare_509422987triple(X0),bool)),X2),X1))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
inference(flattening,[],[f316]) ).
fof(f335,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1883395792gleton) ),
inference(ennf_transformation,[],[f210]) ).
fof(f336,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1883395792gleton) ),
inference(flattening,[],[f335]) ).
fof(f384,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,[],[f283]) ).
fof(f385,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,[],[f384]) ).
fof(f497,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),ord_less_eq(fun(hoare_509422987triple(X0),bool)),X2),X1))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
inference(cnf_transformation,[],[f317]) ).
fof(f505,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,[],[f201]) ).
fof(f516,plain,
! [X0] :
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1883395792gleton) ),
inference(cnf_transformation,[],[f336]) ).
fof(f574,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,[],[f251]) ).
fof(f622,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(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)),
inference(cnf_transformation,[],[f281]) ).
fof(f625,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,[],[f385]) ).
fof(f666,plain,
hBOOL(hoare_1883395792gleton),
inference(cnf_transformation,[],[f162]) ).
fof(f667,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f163]) ).
fof(f671,plain,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
inference(cnf_transformation,[],[f167]) ).
fof(f673,plain,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
inference(cnf_transformation,[],[f312]) ).
cnf(c_90,plain,
( ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),ord_less_eq(fun(hoare_509422987triple(X0),bool)),X1),X2))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
| hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
inference(cnf_transformation,[],[f497]) ).
cnf(c_98,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,[],[f505]) ).
cnf(c_109,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1883395792gleton)
| hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) ),
inference(cnf_transformation,[],[f516]) ).
cnf(c_167,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,[],[f574]) ).
cnf(c_215,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(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)),
inference(cnf_transformation,[],[f622]) ).
cnf(c_218,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,[],[f625]) ).
cnf(c_258,plain,
hBOOL(hoare_1883395792gleton),
inference(cnf_transformation,[],[f666]) ).
cnf(c_259,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f667]) ).
cnf(c_263,plain,
hAPP(com,option(com),some(com),y) = hAPP(pname,option(com),body,pn),
inference(cnf_transformation,[],[f671]) ).
cnf(c_265,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
inference(cnf_transformation,[],[f673]) ).
cnf(c_404,plain,
( hAPP(com,option(com),some(com),X0) != hAPP(pname,option(com),body,X1)
| hBOOL(hAPP(com,bool,wt,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_218,c_259,c_218]) ).
cnf(c_407,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) ),
inference(global_subsumption_just,[status(thm)],[c_109,c_259,c_258,c_109]) ).
cnf(c_508,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) ),
inference(prop_impl_just,[status(thm)],[c_407]) ).
cnf(c_1719,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0))))) ),
inference(demodulation,[status(thm)],[c_508,c_215]) ).
cnf(c_1744,plain,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(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(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))))),
inference(demodulation,[status(thm)],[c_265,c_167,c_215]) ).
cnf(c_1881,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0))
| hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0))))) ),
inference(prop_impl_just,[status(thm)],[c_1719]) ).
cnf(c_1883,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_404]) ).
cnf(c_1884,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_1883]) ).
cnf(c_3121,plain,
( ~ hBOOL(hAPP(com,bool,wt,X0_13))
| hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0_13))))) ),
inference(subtyping,[status(esa)],[c_1881]) ).
cnf(c_3140,plain,
( hAPP(com,option(com),some(com),X0_13) != hAPP(pname,option(com),body,X1_13)
| hBOOL(hAPP(com,bool,wt,X0_13)) ),
inference(subtyping,[status(esa)],[c_1884]) ).
cnf(c_3142,plain,
hAPP(com,option(com),some(com),y) = hAPP(pname,option(com),body,pn),
inference(subtyping,[status(esa)],[c_263]) ).
cnf(c_3235,plain,
hBOOL(hAPP(fun(X0_14,bool),bool,hAPP(fun(X0_14,bool),fun(fun(X0_14,bool),bool),ord_less_eq(fun(X0_14,bool)),bot_bot(fun(X0_14,bool))),X0_13)),
inference(subtyping,[status(esa)],[c_98]) ).
cnf(c_3240,plain,
( ~ hBOOL(hAPP(fun(hoare_509422987triple(X0_15),bool),bool,hAPP(fun(hoare_509422987triple(X0_15),bool),fun(fun(hoare_509422987triple(X0_15),bool),bool),ord_less_eq(fun(hoare_509422987triple(X0_15),bool)),X0_13),X1_13))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X0_15),bool),bool,hAPP(fun(hoare_509422987triple(X0_15),bool),fun(fun(hoare_509422987triple(X0_15),bool),bool),hoare_122391849derivs(X0_15),X0_13),X2_13))
| hBOOL(hAPP(fun(hoare_509422987triple(X0_15),bool),bool,hAPP(fun(hoare_509422987triple(X0_15),bool),fun(fun(hoare_509422987triple(X0_15),bool),bool),hoare_122391849derivs(X0_15),X1_13),X2_13)) ),
inference(subtyping,[status(esa)],[c_90]) ).
cnf(c_6029,plain,
( ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),ord_less_eq(fun(hoare_509422987triple(state),bool)),X0_13),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(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_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X0_13),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)))))
| hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(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(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))))) ),
inference(instantiation,[status(thm)],[c_3240]) ).
cnf(c_6034,plain,
( hAPP(com,option(com),some(com),y) != hAPP(pname,option(com),body,X0_13)
| hBOOL(hAPP(com,bool,wt,y)) ),
inference(instantiation,[status(thm)],[c_3140]) ).
cnf(c_6446,plain,
( ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),ord_less_eq(fun(hoare_509422987triple(state),bool)),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(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_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)))))
| hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(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(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))))) ),
inference(instantiation,[status(thm)],[c_6029]) ).
cnf(c_6611,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_6034]) ).
cnf(c_6665,plain,
( ~ hBOOL(hAPP(com,bool,wt,y))
| hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))))) ),
inference(instantiation,[status(thm)],[c_3121]) ).
cnf(c_7056,plain,
hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),ord_less_eq(fun(hoare_509422987triple(state),bool)),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(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_3235]) ).
cnf(c_7057,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7056,c_6665,c_6611,c_6446,c_3142,c_1744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW474+5 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 23:04:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.59/1.67 % SZS status Started for theBenchmark.p
% 7.59/1.67 % SZS status Theorem for theBenchmark.p
% 7.59/1.67
% 7.59/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.59/1.67
% 7.59/1.67 ------ iProver source info
% 7.59/1.67
% 7.59/1.67 git: date: 2023-05-31 18:12:56 +0000
% 7.59/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.59/1.67 git: non_committed_changes: false
% 7.59/1.67 git: last_make_outside_of_git: false
% 7.59/1.67
% 7.59/1.67 ------ Parsing...
% 7.59/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.59/1.67
% 7.59/1.67 ------ Preprocessing... sup_sim: 35 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
% 7.59/1.67
% 7.59/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.59/1.67
% 7.59/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.59/1.67 ------ Proving...
% 7.59/1.67 ------ Problem Properties
% 7.59/1.67
% 7.59/1.67
% 7.59/1.67 clauses 188
% 7.59/1.67 conjectures 0
% 7.59/1.67 EPR 4
% 7.59/1.67 Horn 162
% 7.59/1.67 unary 71
% 7.59/1.67 binary 78
% 7.59/1.67 lits 355
% 7.59/1.67 lits eq 113
% 7.59/1.67 fd_pure 0
% 7.59/1.67 fd_pseudo 0
% 7.59/1.67 fd_cond 0
% 7.59/1.67 fd_pseudo_cond 0
% 7.59/1.67 AC symbols 0
% 7.59/1.67
% 7.59/1.67 ------ Input Options Time Limit: Unbounded
% 7.59/1.67
% 7.59/1.67
% 7.59/1.67 ------
% 7.59/1.67 Current options:
% 7.59/1.67 ------
% 7.59/1.67
% 7.59/1.67
% 7.59/1.67
% 7.59/1.67
% 7.59/1.67 ------ Proving...
% 7.59/1.67
% 7.59/1.67
% 7.59/1.67 % SZS status Theorem for theBenchmark.p
% 7.59/1.67
% 7.59/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.59/1.67
% 7.59/1.68
%------------------------------------------------------------------------------