TSTP Solution File: SWW474_3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW474_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 22.95s 4.22s
% Output : CNFRefutation 22.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 476 ( 35 equ)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 108 ( 50 ~; 44 |; 0 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 344 ( 344 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 50 ( 48 usr; 26 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 76 ( 7 sgn; 47 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
! [X0: fun_Ho320143120e_bool] : hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),bot_bo39439654e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
tff(f5,axiom,
! [X0: fun_Ho320143120e_bool,X3: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool] :
( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X3),X1))
=> ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X3))
=> hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
tff(f67,axiom,
! [X12: com] :
( hBOOL(hoare_265376576gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X12))
=> hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X12)),bot_bo39439654e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_MGF) ).
tff(f241,axiom,
! [X11: fun_Ho320143120e_bool] : ( hAPP_f1749453397e_bool(collec223185785_state,X11) = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_Collect__def) ).
tff(f242,axiom,
! [X11: fun_pname_bool] : ( hAPP_f759274231e_bool(collect_pname,X11) = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_Collect__def) ).
tff(f296,axiom,
! [X9: hoare_363350478_state] : ( hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X9),bot_bo39439654e_bool) = hAPP_f1749453397e_bool(collec223185785_state,hAPP_H705653759e_bool(fequal1026769423_state,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_singleton__conv2) ).
tff(f298,axiom,
! [X26: pname,X27: com] :
( hBOOL(wT_bodies)
=> ( ( hAPP_p799580910on_com(body,X26) = hAPP_com_option_com(some_com,X27) )
=> hBOOL(hAPP_com_bool(wt,X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).
tff(f563,axiom,
! [X13: hoare_363350478_state] : ( hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X13),bot_bo39439654e_bool) = set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_562_Option_Oset_Osimps_I2_J) ).
tff(f1119,axiom,
! [X25: fun_pname_option_com] : ( dom_pname_com(X25) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),X25)),none_com))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1118_dom__def) ).
tff(f1352,axiom,
hBOOL(hoare_265376576gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f1353,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f1357,axiom,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
tff(f1359,conjecture,
hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
tff(f1360,negated_conjecture,
~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
inference(negated_conjecture,[],[f1359]) ).
tff(f1364,plain,
! [X0: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool,X2: fun_Ho320143120e_bool] :
( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1),X2))
=> ( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1))
=> hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X2)) ) ),
inference(rectify,[],[f5]) ).
tff(f1421,plain,
! [X0: com] :
( hBOOL(hoare_265376576gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X0))
=> hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool))) ) ) ),
inference(rectify,[],[f67]) ).
tff(f1590,plain,
! [X0: fun_Ho320143120e_bool] : ( hAPP_f1749453397e_bool(collec223185785_state,X0) = X0 ),
inference(rectify,[],[f241]) ).
tff(f1591,plain,
! [X0: fun_pname_bool] : ( hAPP_f759274231e_bool(collect_pname,X0) = X0 ),
inference(rectify,[],[f242]) ).
tff(f1645,plain,
! [X0: hoare_363350478_state] : ( hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0),bot_bo39439654e_bool) = hAPP_f1749453397e_bool(collec223185785_state,hAPP_H705653759e_bool(fequal1026769423_state,X0)) ),
inference(rectify,[],[f296]) ).
tff(f1647,plain,
! [X0: pname,X1: com] :
( hBOOL(wT_bodies)
=> ( ( hAPP_p799580910on_com(body,X0) = hAPP_com_option_com(some_com,X1) )
=> hBOOL(hAPP_com_bool(wt,X1)) ) ),
inference(rectify,[],[f298]) ).
tff(f1910,plain,
! [X0: hoare_363350478_state] : ( hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0),bot_bo39439654e_bool) = set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,X0)) ),
inference(rectify,[],[f563]) ).
tff(f2456,plain,
! [X0: fun_pname_option_com] : ( dom_pname_com(X0) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),X0)),none_com))) ),
inference(rectify,[],[f1119]) ).
tff(f2683,plain,
~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
inference(flattening,[],[f1360]) ).
tff(f2689,plain,
! [X0: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool,X2: fun_Ho320143120e_bool] :
( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X2))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1),X2)) ),
inference(ennf_transformation,[],[f1364]) ).
tff(f2690,plain,
! [X0: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool,X2: fun_Ho320143120e_bool] :
( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X2))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1),X2)) ),
inference(flattening,[],[f2689]) ).
tff(f2759,plain,
! [X0: com] :
( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_265376576gleton) ),
inference(ennf_transformation,[],[f1421]) ).
tff(f2760,plain,
! [X0: com] :
( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_265376576gleton) ),
inference(flattening,[],[f2759]) ).
tff(f2905,plain,
! [X0: pname,X1: com] :
( hBOOL(hAPP_com_bool(wt,X1))
| ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) )
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f1647]) ).
tff(f2906,plain,
! [X0: pname,X1: com] :
( hBOOL(hAPP_com_bool(wt,X1))
| ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) )
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f2905]) ).
tff(f4396,plain,
! [X0: fun_Ho320143120e_bool] : hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),bot_bo39439654e_bool)),
inference(cnf_transformation,[],[f1]) ).
tff(f4400,plain,
! [X2: fun_Ho320143120e_bool,X0: fun_Ho320143120e_bool,X1: fun_Ho320143120e_bool] :
( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X2))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0),X1))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1),X2)) ),
inference(cnf_transformation,[],[f2690]) ).
tff(f4471,plain,
! [X0: com] :
( hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0)),bot_bo39439654e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_265376576gleton) ),
inference(cnf_transformation,[],[f2760]) ).
tff(f4732,plain,
! [X0: fun_Ho320143120e_bool] : ( hAPP_f1749453397e_bool(collec223185785_state,X0) = X0 ),
inference(cnf_transformation,[],[f1590]) ).
tff(f4733,plain,
! [X0: fun_pname_bool] : ( hAPP_f759274231e_bool(collect_pname,X0) = X0 ),
inference(cnf_transformation,[],[f1591]) ).
tff(f4810,plain,
! [X0: hoare_363350478_state] : ( hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0),bot_bo39439654e_bool) = hAPP_f1749453397e_bool(collec223185785_state,hAPP_H705653759e_bool(fequal1026769423_state,X0)) ),
inference(cnf_transformation,[],[f1645]) ).
tff(f4813,plain,
! [X0: pname,X1: com] :
( hBOOL(hAPP_com_bool(wt,X1))
| ( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) )
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f2906]) ).
tff(f5302,plain,
! [X0: hoare_363350478_state] : ( hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0),bot_bo39439654e_bool) = set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,X0)) ),
inference(cnf_transformation,[],[f1910]) ).
tff(f6133,plain,
! [X0: fun_pname_option_com] : ( dom_pname_com(X0) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),X0)),none_com))) ),
inference(cnf_transformation,[],[f2456]) ).
tff(f6396,plain,
hBOOL(hoare_265376576gleton),
inference(cnf_transformation,[],[f1352]) ).
tff(f6397,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f1353]) ).
tff(f6401,plain,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
inference(cnf_transformation,[],[f1357]) ).
tff(f6403,plain,
~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
inference(cnf_transformation,[],[f2683]) ).
tff(f6424,plain,
~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com))))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
inference(definition_unfolding,[],[f6403,f6133]) ).
cnf(c_49,plain,
hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0_85),bot_bo39439654e_bool)),
inference(cnf_transformation,[],[f4396]) ).
cnf(c_53,plain,
( ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0_85),X1_85))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X1_85),X2_85))
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0_85),X2_85)) ),
inference(cnf_transformation,[],[f4400]) ).
cnf(c_124,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0_13))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_265376576gleton)
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0_13)),bot_bo39439654e_bool))) ),
inference(cnf_transformation,[],[f4471]) ).
cnf(c_382,plain,
hAPP_f1749453397e_bool(collec223185785_state,X0_85) = X0_85,
inference(cnf_transformation,[],[f4732]) ).
cnf(c_383,plain,
hAPP_f759274231e_bool(collect_pname,X0_39) = X0_39,
inference(cnf_transformation,[],[f4733]) ).
cnf(c_460,plain,
hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0_17),bot_bo39439654e_bool) = hAPP_f1749453397e_bool(collec223185785_state,hAPP_H705653759e_bool(fequal1026769423_state,X0_17)),
inference(cnf_transformation,[],[f4810]) ).
cnf(c_463,plain,
( hAPP_com_option_com(some_com,X0_13) != hAPP_p799580910on_com(body,X0_14)
| ~ hBOOL(wT_bodies)
| hBOOL(hAPP_com_bool(wt,X0_13)) ),
inference(cnf_transformation,[],[f4813]) ).
cnf(c_937,plain,
hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,X0_17),bot_bo39439654e_bool) = set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,X0_17)),
inference(cnf_transformation,[],[f5302]) ).
cnf(c_2021,plain,
hBOOL(hoare_265376576gleton),
inference(cnf_transformation,[],[f6396]) ).
cnf(c_2022,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f6397]) ).
cnf(c_2026,plain,
hAPP_com_option_com(some_com,y) = hAPP_p799580910on_com(body,pn),
inference(cnf_transformation,[],[f6401]) ).
cnf(c_2028,negated_conjecture,
~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com))))),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)),bot_bo39439654e_bool))),
inference(cnf_transformation,[],[f6424]) ).
cnf(c_3112,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0_13))
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0_13)),bot_bo39439654e_bool))) ),
inference(global_subsumption_just,[status(thm)],[c_124,c_2022,c_2021,c_124]) ).
cnf(c_3562,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0_13))
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_f1749453397e_bool(hAPP_H122293036e_bool(insert1330351828_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0_13)),bot_bo39439654e_bool))) ),
inference(prop_impl_just,[status(thm)],[c_3112]) ).
cnf(c_3564,plain,
( hBOOL(hAPP_com_bool(wt,X0_13))
| hAPP_com_option_com(some_com,X0_13) != hAPP_p799580910on_com(body,X0_14) ),
inference(prop_impl_just,[status(thm)],[c_2022,c_463]) ).
cnf(c_3565,plain,
( hAPP_com_option_com(some_com,X0_13) != hAPP_p799580910on_com(body,X0_14)
| hBOOL(hAPP_com_bool(wt,X0_13)) ),
inference(renaming,[status(thm)],[c_3564]) ).
cnf(c_14038,plain,
hAPP_f1749453397e_bool(collec223185785_state,hAPP_H705653759e_bool(fequal1026769423_state,X0_17)) = set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,X0_17)),
inference(light_normalisation,[status(thm)],[c_460,c_937]) ).
cnf(c_14039,plain,
set_Ho1327198534_state(hAPP_H1942146718_state(some_H629028223_state,X0_17)) = hAPP_H705653759e_bool(fequal1026769423_state,X0_17),
inference(demodulation,[status(thm)],[c_14038,c_382]) ).
cnf(c_14067,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0_13))
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0_13)))) ),
inference(demodulation,[status(thm)],[c_3562,c_937,c_14039]) ).
cnf(c_14334,plain,
~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com)))),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)))),
inference(demodulation,[status(thm)],[c_2028,c_383,c_937,c_14039]) ).
cnf(c_15400,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0_13))
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,X0_13)))) ),
inference(subtyping,[status(esa)],[c_14067]) ).
cnf(c_15557,plain,
( hAPP_com_option_com(some_com,X0_13) != hAPP_p799580910on_com(body,X0_14)
| hBOOL(hAPP_com_bool(wt,X0_13)) ),
inference(subtyping,[status(esa)],[c_3565]) ).
cnf(c_16565,plain,
( ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0_85),X1_85))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X2_85),X0_85))
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X2_85),X1_85)) ),
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_16569,plain,
hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0_85),bot_bo39439654e_bool)),
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_31349,plain,
( ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com)))),X0_85))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(X0_85),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y))))
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com)))),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)))) ),
inference(instantiation,[status(thm)],[c_16565]) ).
cnf(c_31350,plain,
( ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com)))),bot_bo39439654e_bool))
| ~ hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y))))
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com)))),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)))) ),
inference(instantiation,[status(thm)],[c_31349]) ).
cnf(c_31569,plain,
hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(hAPP_f1763243027e_bool(image_1918575693_state(hAPP_f481860441_state(cOMBB_424558970_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com)))),bot_bo39439654e_bool)),
inference(instantiation,[status(thm)],[c_16569]) ).
cnf(c_31748,plain,
( hAPP_com_option_com(some_com,y) != hAPP_p799580910on_com(body,X0_14)
| hBOOL(hAPP_com_bool(wt,y)) ),
inference(instantiation,[status(thm)],[c_15557]) ).
cnf(c_31751,plain,
( hAPP_com_option_com(some_com,y) != hAPP_p799580910on_com(body,pn)
| hBOOL(hAPP_com_bool(wt,y)) ),
inference(instantiation,[status(thm)],[c_31748]) ).
cnf(c_36585,plain,
( ~ hBOOL(hAPP_com_bool(wt,y))
| hBOOL(hAPP_f568432088l_bool(hoare_95103338_state(bot_bo39439654e_bool),hAPP_H705653759e_bool(fequal1026769423_state,hAPP_c1041435779_state(hoare_Mirabelle_MGT,y)))) ),
inference(instantiation,[status(thm)],[c_15400]) ).
cnf(c_36586,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_36585,c_31751,c_31569,c_31350,c_14334,c_2026]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW474_3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 22:57:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 22.95/4.22 % SZS status Started for theBenchmark.p
% 22.95/4.22 % SZS status Theorem for theBenchmark.p
% 22.95/4.22
% 22.95/4.22 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 22.95/4.22
% 22.95/4.22 ------ iProver source info
% 22.95/4.22
% 22.95/4.22 git: date: 2023-05-31 18:12:56 +0000
% 22.95/4.22 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 22.95/4.22 git: non_committed_changes: false
% 22.95/4.22 git: last_make_outside_of_git: false
% 22.95/4.22
% 22.95/4.22 ------ Parsing...
% 22.95/4.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 22.95/4.22
% 22.95/4.22 ------ Preprocessing... sup_sim: 345 sf_s rm: 1 0s sf_e pe_s pe_e
% 22.95/4.22
% 22.95/4.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 22.95/4.22
% 22.95/4.22 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 22.95/4.22 ------ Proving...
% 22.95/4.22 ------ Problem Properties
% 22.95/4.22
% 22.95/4.22
% 22.95/4.22 clauses 1459
% 22.95/4.22 conjectures 0
% 22.95/4.22 EPR 10
% 22.95/4.22 Horn 1106
% 22.95/4.22 unary 410
% 22.95/4.22 binary 557
% 22.95/4.22 lits 3319
% 22.95/4.22 lits eq 907
% 22.95/4.22 fd_pure 1
% 22.95/4.22 fd_pseudo 0
% 22.95/4.22 fd_cond 109
% 22.95/4.22 fd_pseudo_cond 65
% 22.95/4.22 AC symbols 0
% 22.95/4.22
% 22.95/4.22 ------ Input Options Time Limit: Unbounded
% 22.95/4.22
% 22.95/4.22
% 22.95/4.22 ------
% 22.95/4.22 Current options:
% 22.95/4.22 ------
% 22.95/4.22
% 22.95/4.22
% 22.95/4.22
% 22.95/4.22
% 22.95/4.22 ------ Proving...
% 22.95/4.22
% 22.95/4.22
% 22.95/4.22 % SZS status Theorem for theBenchmark.p
% 22.95/4.22
% 22.95/4.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.95/4.22
% 22.95/4.23
%------------------------------------------------------------------------------