%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW474+7 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:10:52 PM UTC 2026
% Result : Theorem 263.16s 35.51s
% Output : CNFRefutation 263.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 65 ( 44 unt; 0 def)
% Number of atoms : 104 ( 43 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 31 ~; 25 |; 3 &)
% ( 0 <=>; 11 =>; 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 : 29 ( 29 usr; 12 con; 0-4 aty)
% Number of variables : 120 ( 7 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_610_Collect__const,axiom,
! [X1,X17] :
( ( ~ hBOOL(X17)
=> hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(bool,fun(X1,bool),combk(bool,X1),X17)) = bot_bot(fun(X1,bool)) )
& ( hBOOL(X17)
=> hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(bool,fun(X1,bool),combk(bool,X1),X17)) = top_top(fun(X1,bool)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_610_Collect__const) ).
fof(fact_77_Collect__def,axiom,
! [X1,X17] : hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X17) = ti(fun(X1,bool),X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_Collect__def) ).
fof(tsy_c_hAPP_res,axiom,
! [X3,X1,X4,X5] : ti(X3,hAPP(X1,X3,X4,X5)) = hAPP(X1,X3,X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_res) ).
fof(tsy_c_hAPP_arg2,axiom,
! [X1,X3,X4,X5] : hAPP(X1,X3,X4,ti(X1,X5)) = hAPP(X1,X3,X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_arg2) ).
fof(help_COMBK_1_1_U,axiom,
! [X2,X1,X38,X130] : hAPP(X2,X1,hAPP(X1,fun(X2,X1),combk(X1,X2),X38),X130) = ti(X1,X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_U) ).
fof(tsy_c_Hoare__Mirabelle__lcrcocijdw_Ostate__not__singleton_res,hypothesis,
ti(bool,hoare_511481251gleton) = hoare_511481251gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Hoare__Mirabelle__lcrcocijdw_Ostate__not__singleton_res) ).
fof(conj_0,hypothesis,
hBOOL(hoare_511481251gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
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/benchmark/theBenchmark.p',fact_92_WT__bodiesD) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact_19_MGF,axiom,
! [X18] :
( hBOOL(hoare_511481251gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP(com,bool,wt,X18))
=> hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,X18)),bot_bot(fun(hoare_2118899576triple(state),bool))))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_MGF) ).
fof(fact_90_singleton__conv2,axiom,
! [X1,X15] : hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),fequal(X1),X15)) = hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X15),bot_bot(fun(X1,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_singleton__conv2) ).
fof(conj_5,hypothesis,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(conj_7,conjecture,
hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),hAPP(fun(pname,bool),fun(hoare_2118899576triple(state),bool),hAPP(fun(pname,hoare_2118899576triple(state)),fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool)),image(pname,hoare_2118899576triple(state)),hAPP(fun(pname,com),fun(pname,hoare_2118899576triple(state)),hAPP(fun(com,hoare_2118899576triple(state)),fun(fun(pname,com),fun(pname,hoare_2118899576triple(state))),combb(com,hoare_2118899576triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(fact_60_image__image,axiom,
! [X2,X1,X3,X20,X29,X12] : hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X20),hAPP(fun(X3,bool),fun(X2,bool),hAPP(fun(X3,X2),fun(fun(X3,bool),fun(X2,bool)),image(X3,X2),X29),X12)) = hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),hAPP(fun(X3,X2),fun(X3,X1),hAPP(fun(X2,X1),fun(fun(X3,X2),fun(X3,X1)),combb(X2,X1,X3),X20),X29)),X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_image__image) ).
fof(fact_3_thin,axiom,
! [X1,X6,X9,X7] :
( hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X9),X7))
=> ( hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),ord_less_eq(fun(hoare_2118899576triple(X1),bool)),X9),X6))
=> hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X6),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_thin) ).
fof(fact_10_empty__subsetI,axiom,
! [X1,X12] : hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),bot_bot(fun(X1,bool))),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_empty__subsetI) ).
fof(c_0_16,plain,
! [X1,X17] :
( ( ~ hBOOL(X17)
=> hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(bool,fun(X1,bool),combk(bool,X1),X17)) = bot_bot(fun(X1,bool)) )
& ( hBOOL(X17)
=> hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(bool,fun(X1,bool),combk(bool,X1),X17)) = top_top(fun(X1,bool)) ) ),
inference(fof_simplification,[status(thm)],[fact_610_Collect__const]) ).
fof(c_0_17,plain,
! [X1248,X1249] :
( ( hAPP(fun(X1248,bool),fun(X1248,bool),collect(X1248),hAPP(bool,fun(X1248,bool),combk(bool,X1248),X1249)) = bot_bot(fun(X1248,bool))
| hBOOL(X1249) )
& ( hAPP(fun(X1248,bool),fun(X1248,bool),collect(X1248),hAPP(bool,fun(X1248,bool),combk(bool,X1248),X1249)) = top_top(fun(X1248,bool))
| ~ hBOOL(X1249) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_18,plain,
! [X1871,X1872] : hAPP(fun(X1871,bool),fun(X1871,bool),collect(X1871),X1872) = ti(fun(X1871,bool),X1872),
inference(variable_rename,[status(thm)],[fact_77_Collect__def]) ).
fof(c_0_19,plain,
! [X144,X145,X146,X147] : ti(X144,hAPP(X145,X144,X146,X147)) = hAPP(X145,X144,X146,X147),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_res]) ).
fof(c_0_20,plain,
! [X140,X141,X142,X143] : hAPP(X140,X141,X142,ti(X140,X143)) = hAPP(X140,X141,X142,X143),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_arg2]) ).
cnf(c_0_21,plain,
( ~ hBOOL(X1)
| hAPP(fun(X2,bool),fun(X2,bool),collect(X2),hAPP(bool,fun(X2,bool),combk(bool,X2),X1)) = top_top(fun(X2,bool)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2) = ti(fun(X1,bool),X2),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
hAPP(X1,X2,X3,ti(X1,X4)) = hAPP(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( ~ hBOOL(X2)
| hAPP(bool,fun(X1,bool),combk(bool,X1),X2) = top_top(fun(X1,bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
fof(c_0_26,plain,
! [X1258,X1259,X1260,X1261] : hAPP(X1258,X1259,hAPP(X1259,fun(X1258,X1259),combk(X1259,X1258),X1260),X1261) = ti(X1259,X1260),
inference(variable_rename,[status(thm)],[help_COMBK_1_1_U]) ).
cnf(c_0_27,plain,
( ~ hBOOL(ti(bool,X2))
| hAPP(bool,fun(X1,bool),combk(bool,X1),X2) = top_top(fun(X1,bool)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,hypothesis,
ti(bool,hoare_511481251gleton) = hoare_511481251gleton,
inference(split_conjunct,[status(thm)],[tsy_c_Hoare__Mirabelle__lcrcocijdw_Ostate__not__singleton_res]) ).
cnf(c_0_29,hypothesis,
hBOOL(hoare_511481251gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
fof(c_0_30,plain,
! [X134,X135] :
( hBOOL(hAPP(com,bool,wt,X135))
| hAPP(pname,option(com),body,X134) != hAPP(com,option(com),some(com),X135)
| ~ hBOOL(wT_bodies) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_92_WT__bodiesD])])]) ).
cnf(c_0_31,plain,
hAPP(X1,X2,hAPP(X2,fun(X1,X2),combk(X2,X1),X3),X4) = ti(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,hypothesis,
hAPP(bool,fun(X1,bool),combk(bool,X1),hoare_511481251gleton) = top_top(fun(X1,bool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_33,plain,
( hAPP(pname,option(com),body,X1) != hAPP(com,option(com),some(com),X2)
| ~ hBOOL(wT_bodies)
| hBOOL(hAPP(com,bool,wt,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_35,plain,
! [X133] :
( hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,X133)),bot_bot(fun(hoare_2118899576triple(state),bool)))))
| ~ hBOOL(hAPP(com,bool,wt,X133))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_511481251gleton) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_19_MGF])])]) ).
fof(c_0_36,plain,
! [X1160,X1161] : hAPP(fun(X1160,bool),fun(X1160,bool),collect(X1160),hAPP(X1160,fun(X1160,bool),fequal(X1160),X1161)) = hAPP(fun(X1160,bool),fun(X1160,bool),hAPP(X1160,fun(fun(X1160,bool),fun(X1160,bool)),insert(X1160),X1161),bot_bot(fun(X1160,bool))),
inference(variable_rename,[status(thm)],[fact_90_singleton__conv2]) ).
cnf(c_0_37,hypothesis,
hAPP(X1,bool,top_top(fun(X1,bool)),X2) = hoare_511481251gleton,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_28]) ).
cnf(c_0_38,plain,
( hAPP(pname,option(com),body,X2) != hAPP(com,option(com),some(com),X1)
| hBOOL(hAPP(com,bool,wt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_39,hypothesis,
hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
cnf(c_0_40,plain,
( ~ hBOOL(hAPP(com,bool,wt,X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_511481251gleton)
| hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,X1)),bot_bot(fun(hoare_2118899576triple(state),bool))))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,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_36]) ).
cnf(c_0_42,plain,
( ~ hBOOL(X1)
| ti(bool,X1) = hoare_511481251gleton ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_37]) ).
cnf(c_0_43,hypothesis,
( hAPP(pname,option(com),body,X1) != hAPP(pname,option(com),body,pn)
| hBOOL(hAPP(com,bool,wt,y)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_44,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),hAPP(fun(pname,bool),fun(hoare_2118899576triple(state),bool),hAPP(fun(pname,hoare_2118899576triple(state)),fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool)),image(pname,hoare_2118899576triple(state)),hAPP(fun(pname,com),fun(pname,hoare_2118899576triple(state)),hAPP(fun(com,hoare_2118899576triple(state)),fun(fun(pname,com),fun(pname,hoare_2118899576triple(state))),combb(com,hoare_2118899576triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
inference(assume_negation,[status(cth)],[conj_7]) ).
cnf(c_0_45,plain,
( ~ hBOOL(hAPP(com,bool,wt,X1))
| hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,X1)),bot_bot(fun(hoare_2118899576triple(state),bool))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_34]),c_0_29])]) ).
cnf(c_0_46,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_41,c_0_22]),c_0_23]) ).
cnf(c_0_47,plain,
( ~ hBOOL(hAPP(X1,bool,X2,X3))
| hAPP(X1,bool,X2,X3) = hoare_511481251gleton ),
inference(spm,[status(thm)],[c_0_23,c_0_42]) ).
cnf(c_0_48,hypothesis,
hBOOL(hAPP(com,bool,wt,y)),
inference(er,[status(thm)],[c_0_43]) ).
fof(c_0_49,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),hAPP(fun(pname,bool),fun(hoare_2118899576triple(state),bool),hAPP(fun(pname,hoare_2118899576triple(state)),fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool)),image(pname,hoare_2118899576triple(state)),hAPP(fun(pname,com),fun(pname,hoare_2118899576triple(state)),hAPP(fun(com,hoare_2118899576triple(state)),fun(fun(pname,com),fun(pname,hoare_2118899576triple(state))),combb(com,hoare_2118899576triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
( ~ hBOOL(hAPP(com,bool,wt,X1))
| hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(hoare_2118899576triple(state),fun(hoare_2118899576triple(state),bool),fequal(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,X1)))) ),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,hypothesis,
hAPP(com,bool,wt,y) = hoare_511481251gleton,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_52,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),hAPP(fun(pname,bool),fun(hoare_2118899576triple(state),bool),hAPP(fun(pname,hoare_2118899576triple(state)),fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool)),image(pname,hoare_2118899576triple(state)),hAPP(fun(pname,com),fun(pname,hoare_2118899576triple(state)),hAPP(fun(com,hoare_2118899576triple(state)),fun(fun(pname,com),fun(pname,hoare_2118899576triple(state))),combb(com,hoare_2118899576triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
inference(fof_nnf,[status(thm)],[c_0_49]) ).
fof(c_0_53,plain,
! [X557,X558,X559,X560,X561,X562] : hAPP(fun(X557,bool),fun(X558,bool),hAPP(fun(X557,X558),fun(fun(X557,bool),fun(X558,bool)),image(X557,X558),X560),hAPP(fun(X559,bool),fun(X557,bool),hAPP(fun(X559,X557),fun(fun(X559,bool),fun(X557,bool)),image(X559,X557),X561),X562)) = hAPP(fun(X559,bool),fun(X558,bool),hAPP(fun(X559,X558),fun(fun(X559,bool),fun(X558,bool)),image(X559,X558),hAPP(fun(X559,X557),fun(X559,X558),hAPP(fun(X557,X558),fun(fun(X559,X557),fun(X559,X558)),combb(X557,X558,X559),X560),X561)),X562),
inference(variable_rename,[status(thm)],[fact_60_image__image]) ).
fof(c_0_54,plain,
! [X183,X184,X185,X186] :
( hBOOL(hAPP(fun(hoare_2118899576triple(X183),bool),bool,hAPP(fun(hoare_2118899576triple(X183),bool),fun(fun(hoare_2118899576triple(X183),bool),bool),hoare_1301688828derivs(X183),X184),X186))
| ~ hBOOL(hAPP(fun(hoare_2118899576triple(X183),bool),bool,hAPP(fun(hoare_2118899576triple(X183),bool),fun(fun(hoare_2118899576triple(X183),bool),bool),ord_less_eq(fun(hoare_2118899576triple(X183),bool)),X185),X184))
| ~ hBOOL(hAPP(fun(hoare_2118899576triple(X183),bool),bool,hAPP(fun(hoare_2118899576triple(X183),bool),fun(fun(hoare_2118899576triple(X183),bool),bool),hoare_1301688828derivs(X183),X185),X186)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_thin])])]) ).
cnf(c_0_55,hypothesis,
hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(hoare_2118899576triple(state),fun(hoare_2118899576triple(state),bool),fequal(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_29])]) ).
fof(c_0_56,plain,
! [X751,X752] : hBOOL(hAPP(fun(X751,bool),bool,hAPP(fun(X751,bool),fun(fun(X751,bool),bool),ord_less_eq(fun(X751,bool)),bot_bot(fun(X751,bool))),X752)),
inference(variable_rename,[status(thm)],[fact_10_empty__subsetI]) ).
cnf(c_0_57,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),hAPP(fun(pname,bool),fun(hoare_2118899576triple(state),bool),hAPP(fun(pname,hoare_2118899576triple(state)),fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool)),image(pname,hoare_2118899576triple(state)),hAPP(fun(pname,com),fun(pname,hoare_2118899576triple(state)),hAPP(fun(com,hoare_2118899576triple(state)),fun(fun(pname,com),fun(pname,hoare_2118899576triple(state))),combb(com,hoare_2118899576triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,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_53]) ).
cnf(c_0_59,plain,
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),ord_less_eq(fun(hoare_2118899576triple(X1),bool)),X2),X4))
| ~ hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X2),X3))
| hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,hypothesis,
hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(hoare_2118899576triple(state),fun(hoare_2118899576triple(state),bool),fequal(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y))) = hoare_511481251gleton,
inference(spm,[status(thm)],[c_0_47,c_0_55]) ).
cnf(c_0_61,plain,
hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),bot_bot(fun(X1,bool))),X2)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),hAPP(fun(com,bool),fun(hoare_2118899576triple(state),bool),hAPP(fun(com,hoare_2118899576triple(state)),fun(fun(com,bool),fun(hoare_2118899576triple(state),bool)),image(com,hoare_2118899576triple(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_2118899576triple(state),fun(hoare_2118899576triple(state),bool),fequal(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_46]) ).
cnf(c_0_63,hypothesis,
hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),X1),hAPP(hoare_2118899576triple(state),fun(hoare_2118899576triple(state),bool),fequal(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_29])]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW474+7 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n014.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 09:58:50 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.53 Running first-order theorem proving
% 0.24/0.53 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 263.16/35.51 % Version: 3.5.1
% 263.16/35.51 % Preprocessing class: FMLMSMSMSSSNFFN.
% 263.16/35.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 263.16/35.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 263.16/35.51 % Starting new_bool_3 with 300s (1) cores
% 263.16/35.51 % Starting new_bool_1 with 300s (1) cores
% 263.16/35.51 % Starting sh5l with 300s (1) cores
% 263.16/35.51 % new_bool_3 with pid 3787184 completed with status 0
% 263.16/35.51 % Result found by new_bool_3
% 263.16/35.51 % Preprocessing class: FMLMSMSMSSSNFFN.
% 263.16/35.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 263.16/35.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 263.16/35.51 % Starting new_bool_3 with 300s (1) cores
% 263.16/35.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 263.16/35.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 263.16/35.51 % Search class: FGHSM-FSLM33-DFFFFFNN
% 263.16/35.51 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 263.16/35.51 % Starting SubtermCWHack with 28s (1) cores
% 263.16/35.51 % SubtermCWHack with pid 3787188 completed with status 8
% 263.16/35.51 % Starting new_bool_3 with 31s (1) cores
% 263.16/35.51 % new_bool_3 with pid 3787576 completed with status 0
% 263.16/35.51 % Result found by new_bool_3
% 263.16/35.51 % Preprocessing class: FMLMSMSMSSSNFFN.
% 263.16/35.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 263.16/35.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 263.16/35.51 % Starting new_bool_3 with 300s (1) cores
% 263.16/35.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 263.16/35.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 263.16/35.51 % Search class: FGHSM-FSLM33-DFFFFFNN
% 263.16/35.51 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 263.16/35.51 % Starting SubtermCWHack with 28s (1) cores
% 263.16/35.51 % SubtermCWHack with pid 3787188 completed with status 8
% 263.16/35.51 % Starting new_bool_3 with 31s (1) cores
% 263.16/35.51 % Preprocessing time : 0.028 s
% 263.16/35.51 % Presaturation interreduction done
% 263.16/35.51
% 263.16/35.51 % Proof found!
% 263.16/35.51 % SZS status Theorem
% 263.16/35.51 % SZS output start CNFRefutation
% See solution above
% 263.16/35.51 % Parsed axioms : 1169
% 263.16/35.51 % Removed by relevancy pruning/SinE : 652
% 263.16/35.51 % Initial clauses : 745
% 263.16/35.51 % Removed in clause preprocessing : 7
% 263.16/35.51 % Initial clauses in saturation : 738
% 263.16/35.51 % Processed clauses : 16117
% 263.16/35.51 % ...of these trivial : 86
% 263.16/35.51 % ...subsumed : 12811
% 263.16/35.51 % ...remaining for further processing : 3220
% 263.16/35.51 % Other redundant clauses eliminated : 222
% 263.16/35.51 % Clauses deleted for lack of memory : 0
% 263.16/35.51 % Backward-subsumed : 120
% 263.16/35.51 % Backward-rewritten : 220
% 263.16/35.51 % Generated clauses : 161187
% 263.16/35.51 % ...of the previous two non-redundant : 141830
% 263.16/35.51 % ...aggressively subsumed : 0
% 263.16/35.51 % Contextual simplify-reflections : 40
% 263.16/35.51 % Paramodulations : 160840
% 263.16/35.51 % Factorizations : 33
% 263.16/35.51 % NegExts : 0
% 263.16/35.51 % Equation resolutions : 314
% 263.16/35.51 % Disequality decompositions : 0
% 263.16/35.51 % Total rewrite steps : 57947
% 263.16/35.51 % ...of those cached : 51969
% 263.16/35.51 % Propositional unsat checks : 0
% 263.16/35.51 % Propositional check models : 0
% 263.16/35.51 % Propositional check unsatisfiable : 0
% 263.16/35.51 % Propositional clauses : 0
% 263.16/35.51 % Propositional clauses after purity: 0
% 263.16/35.51 % Propositional unsat core size : 0
% 263.16/35.51 % Propositional preprocessing time : 0.000
% 263.16/35.51 % Propositional encoding time : 0.000
% 263.16/35.51 % Propositional solver time : 0.000
% 263.16/35.51 % Success case prop preproc time : 0.000
% 263.16/35.51 % Success case prop encoding time : 0.000
% 263.16/35.51 % Success case prop solver time : 0.000
% 263.16/35.51 % Current number of processed clauses : 2249
% 263.16/35.51 % Positive orientable unit clauses : 362
% 263.16/35.51 % Positive unorientable unit clauses: 18
% 263.16/35.51 % Negative unit clauses : 239
% 263.16/35.51 % Non-unit-clauses : 1630
% 263.16/35.51 % Current number of unprocessed clauses: 125377
% 263.16/35.51 % ...number of literals in the above : 415911
% 263.16/35.51 % Current number of archived formulas : 0
% 263.16/35.51 % Current number of archived clauses : 971
% 263.16/35.51 % Clause-clause subsumption calls (NU) : 292474
% 263.16/35.51 % Rec. Clause-clause subsumption calls : 201833
% 263.16/35.51 % Non-unit clause-clause subsumptions : 9982
% 263.16/35.51 % Unit Clause-clause subsumption calls : 27414
% 263.16/35.51 % Rewrite failures with RHS unbound : 62
% 263.16/35.51 % BW rewrite match attempts : 55426
% 263.16/35.51 % BW rewrite match successes : 651
% 263.16/35.51 % Condensation attempts : 0
% 263.16/35.51 % Condensation successes : 0
% 263.16/35.51 % Termbank termtop insertions : 7421029
% 263.16/35.51 % Search garbage collected termcells : 16373
% 263.16/35.51
% 263.16/35.51 % -------------------------------------------------
% 263.16/35.51 % User time : 32.425 s
% 263.16/35.51 % System time : 0.795 s
% 263.16/35.51 % Total time : 33.220 s
% 263.16/35.51 % Maximum resident set size: 8248 pages
% 263.16/35.51
% 263.16/35.51 % -------------------------------------------------
% 263.16/35.51 % User time : 32.522 s
% 263.16/35.51 % System time : 0.800 s
% 263.16/35.51 % Total time : 33.321 s
% 263.16/35.51 % Maximum resident set size: 6400 pages
% 263.16/35.51 % E exiting
%------------------------------------------------------------------------------