TSTP Solution File: SWW474+6 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW474+6 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:09:36 EDT 2023
% Result : Theorem 83.70s 11.33s
% Output : CNFRefutation 83.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 30 unt; 0 def)
% Number of atoms : 68 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 7 =>; 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 : 79 ( 6 sgn; 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_92_WT__bodiesD,axiom,
! [X34,X35] :
( hBOOL(wT_bodies)
=> ( hAPP(pname,option(com),body,X34) = hAPP(com,option(com),some(com),X35)
=> hBOOL(hAPP(com,bool,wt,X35)) ) ),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',fact_92_WT__bodiesD) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',conj_1) ).
fof(fact_19_MGF,axiom,
! [X18] :
( hBOOL(hoare_1924220188gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP(com,bool,wt,X18))
=> 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,X18)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',fact_19_MGF) ).
fof(conj_5,hypothesis,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',conj_5) ).
fof(fact_90_singleton__conv2,axiom,
! [X3,X15] : hAPP(fun(X3,bool),fun(X3,bool),collect(X3),hAPP(X3,fun(X3,bool),fequal(X3),X15)) = hAPP(fun(X3,bool),fun(X3,bool),hAPP(X3,fun(fun(X3,bool),fun(X3,bool)),insert(X3),X15),bot_bot(fun(X3,bool))),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',fact_90_singleton__conv2) ).
fof(fact_77_Collect__def,axiom,
! [X3,X17] : hAPP(fun(X3,bool),fun(X3,bool),collect(X3),X17) = ti(fun(X3,bool),X17),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',fact_77_Collect__def) ).
fof(tsy_c_hAPP_res,axiom,
! [X2,X3,X4,X5] : ti(X2,hAPP(X3,X2,X4,X5)) = hAPP(X3,X2,X4,X5),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',tsy_c_hAPP_res) ).
fof(fact_4_cut,axiom,
! [X3,X6,X9,X7] :
( hBOOL(hAPP(fun(hoare_1656922687triple(X3),bool),bool,hAPP(fun(hoare_1656922687triple(X3),bool),fun(fun(hoare_1656922687triple(X3),bool),bool),hoare_279057269derivs(X3),X9),X7))
=> ( hBOOL(hAPP(fun(hoare_1656922687triple(X3),bool),bool,hAPP(fun(hoare_1656922687triple(X3),bool),fun(fun(hoare_1656922687triple(X3),bool),bool),hoare_279057269derivs(X3),X6),X9))
=> hBOOL(hAPP(fun(hoare_1656922687triple(X3),bool),bool,hAPP(fun(hoare_1656922687triple(X3),bool),fun(fun(hoare_1656922687triple(X3),bool),bool),hoare_279057269derivs(X3),X6),X7)) ) ),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3,X6] : hBOOL(hAPP(fun(hoare_1656922687triple(X3),bool),bool,hAPP(fun(hoare_1656922687triple(X3),bool),fun(fun(hoare_1656922687triple(X3),bool),bool),hoare_279057269derivs(X3),X6),bot_bot(fun(hoare_1656922687triple(X3),bool)))),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',fact_0_empty) ).
fof(conj_0,hypothesis,
hBOOL(hoare_1924220188gleton),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',conj_0) ).
fof(conj_7,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/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',conj_7) ).
fof(fact_60_image__image,axiom,
! [X1,X3,X2,X20,X29,X12] : hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X20),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X29),X12)) = hAPP(fun(X2,bool),fun(X3,bool),hAPP(fun(X2,X3),fun(fun(X2,bool),fun(X3,bool)),image(X2,X3),hAPP(fun(X2,X1),fun(X2,X3),hAPP(fun(X1,X3),fun(fun(X2,X1),fun(X2,X3)),combb(X1,X3,X2),X20),X29)),X12),
file('/export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p',fact_60_image__image) ).
fof(c_0_12,plain,
! [X119,X120] :
( ~ hBOOL(wT_bodies)
| hAPP(pname,option(com),body,X119) != hAPP(com,option(com),some(com),X120)
| hBOOL(hAPP(com,bool,wt,X120)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_92_WT__bodiesD])]) ).
cnf(c_0_13,plain,
( hBOOL(hAPP(com,bool,wt,X2))
| ~ hBOOL(wT_bodies)
| hAPP(pname,option(com),body,X1) != hAPP(com,option(com),some(com),X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_14,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_15,plain,
! [X118] :
( ~ hBOOL(hoare_1924220188gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP(com,bool,wt,X118))
| 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,X118)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_19_MGF])]) ).
cnf(c_0_16,plain,
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X2) != hAPP(com,option(com),some(com),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_17,hypothesis,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
fof(c_0_18,plain,
! [X1016,X1017] : hAPP(fun(X1016,bool),fun(X1016,bool),collect(X1016),hAPP(X1016,fun(X1016,bool),fequal(X1016),X1017)) = hAPP(fun(X1016,bool),fun(X1016,bool),hAPP(X1016,fun(fun(X1016,bool),fun(X1016,bool)),insert(X1016),X1017),bot_bot(fun(X1016,bool))),
inference(variable_rename,[status(thm)],[fact_90_singleton__conv2]) ).
fof(c_0_19,plain,
! [X1272,X1273] : hAPP(fun(X1272,bool),fun(X1272,bool),collect(X1272),X1273) = ti(fun(X1272,bool),X1273),
inference(variable_rename,[status(thm)],[fact_77_Collect__def]) ).
fof(c_0_20,plain,
! [X129,X130,X131,X132] : ti(X129,hAPP(X130,X129,X131,X132)) = hAPP(X130,X129,X131,X132),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_res]) ).
fof(c_0_21,plain,
! [X194,X195,X196,X197] :
( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X194),bool),bool,hAPP(fun(hoare_1656922687triple(X194),bool),fun(fun(hoare_1656922687triple(X194),bool),bool),hoare_279057269derivs(X194),X196),X197))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X194),bool),bool,hAPP(fun(hoare_1656922687triple(X194),bool),fun(fun(hoare_1656922687triple(X194),bool),bool),hoare_279057269derivs(X194),X195),X196))
| hBOOL(hAPP(fun(hoare_1656922687triple(X194),bool),bool,hAPP(fun(hoare_1656922687triple(X194),bool),fun(fun(hoare_1656922687triple(X194),bool),bool),hoare_279057269derivs(X194),X195),X197)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).
fof(c_0_22,plain,
! [X181,X182] : hBOOL(hAPP(fun(hoare_1656922687triple(X181),bool),bool,hAPP(fun(hoare_1656922687triple(X181),bool),fun(fun(hoare_1656922687triple(X181),bool),bool),hoare_279057269derivs(X181),X182),bot_bot(fun(hoare_1656922687triple(X181),bool)))),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
cnf(c_0_23,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),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,X1)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hoare_1924220188gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP(com,bool,wt,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,hypothesis,
hBOOL(hoare_1924220188gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_25,hypothesis,
( hBOOL(hAPP(com,bool,wt,y))
| hAPP(pname,option(com),body,X1) != hAPP(pname,option(com),body,pn) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_26,plain,
hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),fequal(X1),X2)) = hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2) = ti(fun(X1,bool),X2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).
fof(c_0_30,plain,
! [X537,X538,X539,X540,X541,X542] : hAPP(fun(X537,bool),fun(X538,bool),hAPP(fun(X537,X538),fun(fun(X537,bool),fun(X538,bool)),image(X537,X538),X540),hAPP(fun(X539,bool),fun(X537,bool),hAPP(fun(X539,X537),fun(fun(X539,bool),fun(X537,bool)),image(X539,X537),X541),X542)) = hAPP(fun(X539,bool),fun(X538,bool),hAPP(fun(X539,X538),fun(fun(X539,bool),fun(X538,bool)),image(X539,X538),hAPP(fun(X539,X537),fun(X539,X538),hAPP(fun(X537,X538),fun(fun(X539,X537),fun(X539,X538)),combb(X537,X538,X539),X540),X541)),X542),
inference(variable_rename,[status(thm)],[fact_60_image__image]) ).
cnf(c_0_31,plain,
( hBOOL(hAPP(fun(hoare_1656922687triple(X1),bool),bool,hAPP(fun(hoare_1656922687triple(X1),bool),fun(fun(hoare_1656922687triple(X1),bool),bool),hoare_279057269derivs(X1),X4),X3))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X1),bool),bool,hAPP(fun(hoare_1656922687triple(X1),bool),fun(fun(hoare_1656922687triple(X1),bool),bool),hoare_279057269derivs(X1),X2),X3))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X1),bool),bool,hAPP(fun(hoare_1656922687triple(X1),bool),fun(fun(hoare_1656922687triple(X1),bool),bool),hoare_279057269derivs(X1),X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
hBOOL(hAPP(fun(hoare_1656922687triple(X1),bool),bool,hAPP(fun(hoare_1656922687triple(X1),bool),fun(fun(hoare_1656922687triple(X1),bool),bool),hoare_279057269derivs(X1),X2),bot_bot(fun(hoare_1656922687triple(X1),bool)))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,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),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,X1)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_14]),c_0_24])]) ).
cnf(c_0_34,hypothesis,
hBOOL(hAPP(com,bool,wt,y)),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))) = hAPP(X1,fun(X1,bool),fequal(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_36,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(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),hAPP(fun(X4,bool),fun(X1,bool),hAPP(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool)),image(X4,X1),X5),X6)) = hAPP(fun(X4,bool),fun(X2,bool),hAPP(fun(X4,X2),fun(fun(X4,bool),fun(X2,bool)),image(X4,X2),hAPP(fun(X4,X1),fun(X4,X2),hAPP(fun(X1,X2),fun(fun(X4,X1),fun(X4,X2)),combb(X1,X2,X4),X3),X5)),X6),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( hBOOL(hAPP(fun(hoare_1656922687triple(X1),bool),bool,hAPP(fun(hoare_1656922687triple(X1),bool),fun(fun(hoare_1656922687triple(X1),bool),bool),hoare_279057269derivs(X1),X2),X3))
| ~ hBOOL(hAPP(fun(hoare_1656922687triple(X1),bool),bool,hAPP(fun(hoare_1656922687triple(X1),bool),fun(fun(hoare_1656922687triple(X1),bool),bool),hoare_279057269derivs(X1),bot_bot(fun(hoare_1656922687triple(X1),bool))),X3)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,hypothesis,
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(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_40,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(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(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_37]) ).
cnf(c_0_41,hypothesis,
hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),X1),hAPP(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.25 % Problem : SWW474+6 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.25 % Command : run_E %s %d THM
% 0.26/0.45 % Computer : n023.cluster.edu
% 0.26/0.45 % Model : x86_64 x86_64
% 0.26/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.45 % Memory : 8042.1875MB
% 0.26/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.26/0.45 % CPULimit : 2400
% 0.26/0.45 % WCLimit : 300
% 0.26/0.45 % DateTime : Mon Oct 2 22:28:52 EDT 2023
% 0.26/0.45 % CPUTime :
% 0.42/0.70 Running first-order theorem proving
% 0.42/0.70 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.FC4t1huVTo/E---3.1_3019.p
% 83.70/11.33 # Version: 3.1pre001
% 83.70/11.33 # Preprocessing class: FSLSSMSMSSSNFFN.
% 83.70/11.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 83.70/11.33 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 83.70/11.33 # Starting new_bool_3 with 300s (1) cores
% 83.70/11.33 # Starting new_bool_1 with 300s (1) cores
% 83.70/11.33 # Starting sh5l with 300s (1) cores
% 83.70/11.33 # new_bool_1 with pid 3102 completed with status 0
% 83.70/11.33 # Result found by new_bool_1
% 83.70/11.33 # Preprocessing class: FSLSSMSMSSSNFFN.
% 83.70/11.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 83.70/11.33 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 83.70/11.33 # Starting new_bool_3 with 300s (1) cores
% 83.70/11.33 # Starting new_bool_1 with 300s (1) cores
% 83.70/11.33 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 83.70/11.33 # Search class: FGHSM-FSLM33-DFFFFFNN
% 83.70/11.33 # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 83.70/11.33 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 55s (1) cores
% 83.70/11.33 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with pid 3104 completed with status 0
% 83.70/11.33 # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S
% 83.70/11.33 # Preprocessing class: FSLSSMSMSSSNFFN.
% 83.70/11.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 83.70/11.33 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 83.70/11.33 # Starting new_bool_3 with 300s (1) cores
% 83.70/11.33 # Starting new_bool_1 with 300s (1) cores
% 83.70/11.33 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 83.70/11.33 # Search class: FGHSM-FSLM33-DFFFFFNN
% 83.70/11.33 # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 83.70/11.33 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 55s (1) cores
% 83.70/11.33 # Preprocessing time : 0.019 s
% 83.70/11.33 # Presaturation interreduction done
% 83.70/11.33
% 83.70/11.33 # Proof found!
% 83.70/11.33 # SZS status Theorem
% 83.70/11.33 # SZS output start CNFRefutation
% See solution above
% 83.70/11.33 # Parsed axioms : 622
% 83.70/11.33 # Removed by relevancy pruning/SinE : 235
% 83.70/11.33 # Initial clauses : 561
% 83.70/11.33 # Removed in clause preprocessing : 6
% 83.70/11.33 # Initial clauses in saturation : 555
% 83.70/11.33 # Processed clauses : 19200
% 83.70/11.33 # ...of these trivial : 518
% 83.70/11.33 # ...subsumed : 14080
% 83.70/11.33 # ...remaining for further processing : 4602
% 83.70/11.33 # Other redundant clauses eliminated : 105
% 83.70/11.33 # Clauses deleted for lack of memory : 0
% 83.70/11.33 # Backward-subsumed : 50
% 83.70/11.33 # Backward-rewritten : 177
% 83.70/11.33 # Generated clauses : 510612
% 83.70/11.33 # ...of the previous two non-redundant : 484973
% 83.70/11.33 # ...aggressively subsumed : 0
% 83.70/11.33 # Contextual simplify-reflections : 11
% 83.70/11.33 # Paramodulations : 510370
% 83.70/11.33 # Factorizations : 12
% 83.70/11.33 # NegExts : 0
% 83.70/11.33 # Equation resolutions : 230
% 83.70/11.33 # Total rewrite steps : 162541
% 83.70/11.33 # Propositional unsat checks : 0
% 83.70/11.33 # Propositional check models : 0
% 83.70/11.33 # Propositional check unsatisfiable : 0
% 83.70/11.33 # Propositional clauses : 0
% 83.70/11.33 # Propositional clauses after purity: 0
% 83.70/11.33 # Propositional unsat core size : 0
% 83.70/11.33 # Propositional preprocessing time : 0.000
% 83.70/11.33 # Propositional encoding time : 0.000
% 83.70/11.33 # Propositional solver time : 0.000
% 83.70/11.33 # Success case prop preproc time : 0.000
% 83.70/11.33 # Success case prop encoding time : 0.000
% 83.70/11.33 # Success case prop solver time : 0.000
% 83.70/11.33 # Current number of processed clauses : 3907
% 83.70/11.33 # Positive orientable unit clauses : 942
% 83.70/11.33 # Positive unorientable unit clauses: 11
% 83.70/11.33 # Negative unit clauses : 191
% 83.70/11.33 # Non-unit-clauses : 2763
% 83.70/11.33 # Current number of unprocessed clauses: 466209
% 83.70/11.33 # ...number of literals in the above : 1014885
% 83.70/11.33 # Current number of archived formulas : 0
% 83.70/11.33 # Current number of archived clauses : 695
% 83.70/11.33 # Clause-clause subsumption calls (NU) : 595244
% 83.70/11.33 # Rec. Clause-clause subsumption calls : 428324
% 83.70/11.33 # Non-unit clause-clause subsumptions : 7770
% 83.70/11.33 # Unit Clause-clause subsumption calls : 60299
% 83.70/11.33 # Rewrite failures with RHS unbound : 0
% 83.70/11.33 # BW rewrite match attempts : 168549
% 83.70/11.33 # BW rewrite match successes : 384
% 83.70/11.33 # Condensation attempts : 0
% 83.70/11.33 # Condensation successes : 0
% 83.70/11.33 # Termbank termtop insertions : 32960124
% 83.70/11.33
% 83.70/11.33 # -------------------------------------------------
% 83.70/11.33 # User time : 10.011 s
% 83.70/11.33 # System time : 0.306 s
% 83.70/11.33 # Total time : 10.317 s
% 83.70/11.33 # Maximum resident set size: 5084 pages
% 83.70/11.33
% 83.70/11.33 # -------------------------------------------------
% 83.70/11.33 # User time : 10.038 s
% 83.70/11.33 # System time : 0.308 s
% 83.70/11.33 # Total time : 10.346 s
% 83.70/11.33 # Maximum resident set size: 2684 pages
% 83.70/11.33 % E---3.1 exiting
% 83.70/11.33 % E---3.1 exiting
%------------------------------------------------------------------------------