TSTP Solution File: SWW474+5 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW474+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 20:11:27 EDT 2023
% Result : Theorem 3.39s 0.96s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 32 unt; 0 def)
% Number of atoms : 95 ( 31 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 29 ~; 30 |; 1 &)
% ( 1 <=>; 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 : 28 ( 28 usr; 14 con; 0-4 aty)
% Number of variables : 87 ( 7 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/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',fact_92_WT__bodiesD) ).
fof(tsy_c_hBOOL_arg1,hypothesis,
! [X4] :
( hBOOL(ti(bool,X4))
<=> hBOOL(X4) ),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',tsy_c_hBOOL_arg1) ).
fof(help_fFalse_1_1_T,axiom,
! [X38] :
( ti(bool,X38) = fTrue
| ti(bool,X38) = fFalse ),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',help_fFalse_1_1_T) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',conj_1) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',help_fFalse_1_1_U) ).
fof(conj_5,hypothesis,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',conj_5) ).
fof(fact_4_cut,axiom,
! [X3,X6,X9,X7] :
( hBOOL(hAPP(fun(hoare_509422987triple(X3),bool),bool,hAPP(fun(hoare_509422987triple(X3),bool),fun(fun(hoare_509422987triple(X3),bool),bool),hoare_122391849derivs(X3),X9),X7))
=> ( hBOOL(hAPP(fun(hoare_509422987triple(X3),bool),bool,hAPP(fun(hoare_509422987triple(X3),bool),fun(fun(hoare_509422987triple(X3),bool),bool),hoare_122391849derivs(X3),X6),X9))
=> hBOOL(hAPP(fun(hoare_509422987triple(X3),bool),bool,hAPP(fun(hoare_509422987triple(X3),bool),fun(fun(hoare_509422987triple(X3),bool),bool),hoare_122391849derivs(X3),X6),X7)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3,X6] : hBOOL(hAPP(fun(hoare_509422987triple(X3),bool),bool,hAPP(fun(hoare_509422987triple(X3),bool),fun(fun(hoare_509422987triple(X3),bool),bool),hoare_122391849derivs(X3),X6),bot_bot(fun(hoare_509422987triple(X3),bool)))),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',fact_0_empty) ).
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/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',tsy_c_hAPP_res) ).
fof(fact_19_MGF,axiom,
! [X18] :
( hBOOL(hoare_1883395792gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP(com,bool,wt,X18))
=> 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,X18)),bot_bot(fun(hoare_509422987triple(state),bool))))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',fact_19_MGF) ).
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/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.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/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',fact_77_Collect__def) ).
fof(conj_0,hypothesis,
hBOOL(hoare_1883395792gleton),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',conj_0) ).
fof(tsy_c_hAPP_arg2,axiom,
! [X3,X2,X4,X5] : hAPP(X3,X2,X4,ti(X3,X5)) = hAPP(X3,X2,X4,X5),
file('/export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',tsy_c_hAPP_arg2) ).
fof(conj_7,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/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p',conj_7) ).
fof(c_0_15,plain,
! [X342,X343] :
( ~ hBOOL(wT_bodies)
| hAPP(pname,option(com),body,X342) != hAPP(com,option(com),some(com),X343)
| hBOOL(hAPP(com,bool,wt,X343)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_92_WT__bodiesD])]) ).
fof(c_0_16,hypothesis,
! [X51] :
( ( ~ hBOOL(ti(bool,X51))
| hBOOL(X51) )
& ( ~ hBOOL(X51)
| hBOOL(ti(bool,X51)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tsy_c_hBOOL_arg1])]) ).
fof(c_0_17,plain,
! [X507] :
( ti(bool,X507) = fTrue
| ti(bool,X507) = fFalse ),
inference(variable_rename,[status(thm)],[help_fFalse_1_1_T]) ).
cnf(c_0_18,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_15]) ).
cnf(c_0_19,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_20,hypothesis,
( hBOOL(ti(bool,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( ti(bool,X1) = fTrue
| ti(bool,X1) = fFalse ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
cnf(c_0_23,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_18,c_0_19])]) ).
cnf(c_0_24,hypothesis,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
fof(c_0_25,plain,
! [X332,X333,X334,X335] :
( ~ hBOOL(hAPP(fun(hoare_509422987triple(X332),bool),bool,hAPP(fun(hoare_509422987triple(X332),bool),fun(fun(hoare_509422987triple(X332),bool),bool),hoare_122391849derivs(X332),X334),X335))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X332),bool),bool,hAPP(fun(hoare_509422987triple(X332),bool),fun(fun(hoare_509422987triple(X332),bool),bool),hoare_122391849derivs(X332),X333),X334))
| hBOOL(hAPP(fun(hoare_509422987triple(X332),bool),bool,hAPP(fun(hoare_509422987triple(X332),bool),fun(fun(hoare_509422987triple(X332),bool),bool),hoare_122391849derivs(X332),X333),X335)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).
fof(c_0_26,plain,
! [X273,X274] : hBOOL(hAPP(fun(hoare_509422987triple(X273),bool),bool,hAPP(fun(hoare_509422987triple(X273),bool),fun(fun(hoare_509422987triple(X273),bool),bool),hoare_122391849derivs(X273),X274),bot_bot(fun(hoare_509422987triple(X273),bool)))),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
fof(c_0_27,plain,
! [X242,X243,X244,X245] : ti(X242,hAPP(X243,X242,X244,X245)) = hAPP(X243,X242,X244,X245),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_res]) ).
cnf(c_0_28,hypothesis,
( ti(bool,X1) = fFalse
| hBOOL(fTrue)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,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_23,c_0_24]) ).
fof(c_0_31,plain,
! [X336] :
( ~ hBOOL(hoare_1883395792gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP(com,bool,wt,X336))
| 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,X336)),bot_bot(fun(hoare_509422987triple(state),bool))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_19_MGF])]) ).
fof(c_0_32,plain,
! [X309,X310] : hAPP(fun(X309,bool),fun(X309,bool),collect(X309),hAPP(X309,fun(X309,bool),fequal(X309),X310)) = hAPP(fun(X309,bool),fun(X309,bool),hAPP(X309,fun(fun(X309,bool),fun(X309,bool)),insert(X309),X310),bot_bot(fun(X309,bool))),
inference(variable_rename,[status(thm)],[fact_90_singleton__conv2]) ).
fof(c_0_33,plain,
! [X452,X453] : hAPP(fun(X452,bool),fun(X452,bool),collect(X452),X453) = ti(fun(X452,bool),X453),
inference(variable_rename,[status(thm)],[fact_77_Collect__def]) ).
cnf(c_0_34,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X4),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),bot_bot(fun(hoare_509422987triple(X1),bool)))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,hypothesis,
( hBOOL(fTrue)
| ~ hBOOL(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_28]),c_0_29]) ).
cnf(c_0_38,hypothesis,
hBOOL(hAPP(com,bool,wt,y)),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_39,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),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,X1)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hoare_1883395792gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP(com,bool,wt,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,hypothesis,
hBOOL(hoare_1883395792gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
fof(c_0_41,plain,
! [X238,X239,X240,X241] : hAPP(X238,X239,X240,ti(X238,X241)) = hAPP(X238,X239,X240,X241),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_arg2]) ).
cnf(c_0_42,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_32]) ).
cnf(c_0_43,plain,
hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2) = ti(fun(X1,bool),X2),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_44,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).
cnf(c_0_45,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),bot_bot(fun(hoare_509422987triple(X1),bool))),X3)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_46,plain,
( hAPP(X1,bool,X2,X3) = fFalse
| hAPP(X1,bool,X2,X3) = fTrue ),
inference(spm,[status(thm)],[c_0_21,c_0_36]) ).
cnf(c_0_47,hypothesis,
hBOOL(fTrue),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,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),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,X1)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_19]),c_0_40])]) ).
cnf(c_0_49,plain,
hAPP(X1,X2,X3,ti(X1,X4)) = hAPP(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,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_42,c_0_43]),c_0_36]) ).
cnf(c_0_51,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(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
( hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),bot_bot(fun(hoare_509422987triple(X1),bool))),X2) = fFalse
| hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X3),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_53,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),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X1))))
| ~ hBOOL(hAPP(com,bool,wt,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_49]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
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(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))) = fFalse,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_50]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_38])]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW474+5 : TPTP v8.1.2. Released v5.3.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 22:55:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.51 Running first-order model finding
% 0.20/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.N2Akt2tkma/E---3.1_7369.p
% 3.39/0.96 # Version: 3.1pre001
% 3.39/0.96 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.39/0.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.39/0.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.39/0.96 # Starting new_bool_3 with 300s (1) cores
% 3.39/0.96 # Starting new_bool_1 with 300s (1) cores
% 3.39/0.96 # Starting sh5l with 300s (1) cores
% 3.39/0.96 # sh5l with pid 7502 completed with status 0
% 3.39/0.96 # Result found by sh5l
% 3.39/0.96 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.39/0.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.39/0.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.39/0.96 # Starting new_bool_3 with 300s (1) cores
% 3.39/0.96 # Starting new_bool_1 with 300s (1) cores
% 3.39/0.96 # Starting sh5l with 300s (1) cores
% 3.39/0.96 # SinE strategy is gf500_gu_R04_F100_L20000
% 3.39/0.96 # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.39/0.96 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.39/0.96 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.39/0.96 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 7505 completed with status 0
% 3.39/0.96 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 3.39/0.96 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.39/0.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.39/0.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.39/0.96 # Starting new_bool_3 with 300s (1) cores
% 3.39/0.96 # Starting new_bool_1 with 300s (1) cores
% 3.39/0.96 # Starting sh5l with 300s (1) cores
% 3.39/0.96 # SinE strategy is gf500_gu_R04_F100_L20000
% 3.39/0.96 # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.39/0.96 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.39/0.96 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.39/0.96 # Preprocessing time : 0.072 s
% 3.39/0.96
% 3.39/0.96 # Proof found!
% 3.39/0.96 # SZS status Theorem
% 3.39/0.96 # SZS output start CNFRefutation
% See solution above
% 3.39/0.96 # Parsed axioms : 169
% 3.39/0.96 # Removed by relevancy pruning/SinE : 4
% 3.39/0.96 # Initial clauses : 214
% 3.39/0.96 # Removed in clause preprocessing : 0
% 3.39/0.96 # Initial clauses in saturation : 214
% 3.39/0.96 # Processed clauses : 636
% 3.39/0.96 # ...of these trivial : 9
% 3.39/0.96 # ...subsumed : 278
% 3.39/0.96 # ...remaining for further processing : 349
% 3.39/0.96 # Other redundant clauses eliminated : 0
% 3.39/0.96 # Clauses deleted for lack of memory : 0
% 3.39/0.96 # Backward-subsumed : 17
% 3.39/0.96 # Backward-rewritten : 18
% 3.39/0.96 # Generated clauses : 7828
% 3.39/0.96 # ...of the previous two non-redundant : 7213
% 3.39/0.96 # ...aggressively subsumed : 0
% 3.39/0.96 # Contextual simplify-reflections : 3
% 3.39/0.96 # Paramodulations : 7810
% 3.39/0.96 # Factorizations : 3
% 3.39/0.96 # NegExts : 0
% 3.39/0.96 # Equation resolutions : 15
% 3.39/0.96 # Total rewrite steps : 2880
% 3.39/0.96 # Propositional unsat checks : 0
% 3.39/0.96 # Propositional check models : 0
% 3.39/0.96 # Propositional check unsatisfiable : 0
% 3.39/0.96 # Propositional clauses : 0
% 3.39/0.96 # Propositional clauses after purity: 0
% 3.39/0.96 # Propositional unsat core size : 0
% 3.39/0.96 # Propositional preprocessing time : 0.000
% 3.39/0.96 # Propositional encoding time : 0.000
% 3.39/0.96 # Propositional solver time : 0.000
% 3.39/0.96 # Success case prop preproc time : 0.000
% 3.39/0.96 # Success case prop encoding time : 0.000
% 3.39/0.96 # Success case prop solver time : 0.000
% 3.39/0.96 # Current number of processed clauses : 314
% 3.39/0.96 # Positive orientable unit clauses : 88
% 3.39/0.96 # Positive unorientable unit clauses: 21
% 3.39/0.96 # Negative unit clauses : 15
% 3.39/0.96 # Non-unit-clauses : 190
% 3.39/0.96 # Current number of unprocessed clauses: 6713
% 3.39/0.96 # ...number of literals in the above : 11911
% 3.39/0.96 # Current number of archived formulas : 0
% 3.39/0.96 # Current number of archived clauses : 35
% 3.39/0.96 # Clause-clause subsumption calls (NU) : 10137
% 3.39/0.96 # Rec. Clause-clause subsumption calls : 6293
% 3.39/0.96 # Non-unit clause-clause subsumptions : 157
% 3.39/0.96 # Unit Clause-clause subsumption calls : 1440
% 3.39/0.96 # Rewrite failures with RHS unbound : 0
% 3.39/0.96 # BW rewrite match attempts : 4734
% 3.39/0.96 # BW rewrite match successes : 25
% 3.39/0.96 # Condensation attempts : 0
% 3.39/0.96 # Condensation successes : 0
% 3.39/0.96 # Termbank termtop insertions : 1006594
% 3.39/0.96
% 3.39/0.96 # -------------------------------------------------
% 3.39/0.96 # User time : 0.396 s
% 3.39/0.96 # System time : 0.025 s
% 3.39/0.96 # Total time : 0.421 s
% 3.39/0.96 # Maximum resident set size: 2920 pages
% 3.39/0.96
% 3.39/0.96 # -------------------------------------------------
% 3.39/0.96 # User time : 0.408 s
% 3.39/0.96 # System time : 0.025 s
% 3.39/0.96 # Total time : 0.434 s
% 3.39/0.96 # Maximum resident set size: 1936 pages
% 3.39/0.96 % E---3.1 exiting
%------------------------------------------------------------------------------