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 : n025.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 77.72s 11.36s
% Output : CNFRefutation 77.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 85 ( 40 unt; 0 def)
% Number of atoms : 190 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 175 ( 70 ~; 67 |; 11 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 47 ( 47 usr; 20 con; 0-2 aty)
% Number of variables : 110 ( 6 sgn; 70 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,axiom,
! [X2] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),bot_bo784226126e_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
fof(f87,axiom,
! [X2,X5,X3] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X5),X3))
=> ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),X5))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
fof(f149,axiom,
! [X14] :
( hBOOL(hoare_1795711768gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X14))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X14)),bot_bo784226126e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_MGF) ).
fof(f322,axiom,
! [X15,X8] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X8))
<=> hBOOL(hAPP_pname_bool(X8,X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_mem__def) ).
fof(f323,axiom,
! [X13] : hAPP_f806699093e_bool(collec637225377_state,X13) = X13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_Collect__def) ).
fof(f378,axiom,
! [X11] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X11),bot_bo784226126e_bool) = hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_singleton__conv2) ).
fof(f379,axiom,
! [X14,X2] :
( hBOOL(hoare_1795711768gleton)
=> ( ! [X20] :
( is_pname(X20)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),dom_pname_com(body)))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X20))),bot_bo784226126e_bool))) ) )
=> ( hBOOL(hAPP_com_bool(wt,X14))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X14)),bot_bo784226126e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_MGF__lemma1) ).
fof(f380,axiom,
! [X28,X29] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X28) = hAPP_com_option_com(some_com,X29)
=> hBOOL(hAPP_com_bool(wt,X29)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).
fof(f645,axiom,
! [X15] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X15),bot_bo784226126e_bool) = set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_562_Option_Oset_Osimps_I2_J) ).
fof(f1201,axiom,
! [X27] : dom_pname_com(X27) = 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),X27)),none_com))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1118_dom__def) ).
fof(f1434,axiom,
hBOOL(hoare_1795711768gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1435,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f1439,axiom,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f1441,conjecture,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
fof(f1442,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(negated_conjecture,[],[f1441]) ).
fof(f1443,plain,
! [X0] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)),
inference(rectify,[],[f83]) ).
fof(f1447,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
=> ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2)) ) ),
inference(rectify,[],[f87]) ).
fof(f1504,plain,
! [X0] :
( hBOOL(hoare_1795711768gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X0))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ) ) ),
inference(rectify,[],[f149]) ).
fof(f1672,plain,
! [X0,X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
<=> hBOOL(hAPP_pname_bool(X1,X0)) ),
inference(rectify,[],[f322]) ).
fof(f1673,plain,
! [X0] : hAPP_f806699093e_bool(collec637225377_state,X0) = X0,
inference(rectify,[],[f323]) ).
fof(f1728,plain,
! [X0] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,X0)),
inference(rectify,[],[f378]) ).
fof(f1729,plain,
! [X0,X1] :
( hBOOL(hoare_1795711768gleton)
=> ( ! [X2] :
( is_pname(X2)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(body)))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo784226126e_bool))) ) )
=> ( hBOOL(hAPP_com_bool(wt,X0))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ) ) ),
inference(rectify,[],[f379]) ).
fof(f1730,plain,
! [X0,X1] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X0) = hAPP_com_option_com(some_com,X1)
=> hBOOL(hAPP_com_bool(wt,X1)) ) ),
inference(rectify,[],[f380]) ).
fof(f1994,plain,
! [X0] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X0)),
inference(rectify,[],[f645]) ).
fof(f2540,plain,
! [X0] : 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,[],[f1201]) ).
fof(f2767,plain,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(flattening,[],[f1442]) ).
fof(f2793,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
inference(ennf_transformation,[],[f1447]) ).
fof(f2794,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
inference(flattening,[],[f2793]) ).
fof(f2863,plain,
! [X0] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(ennf_transformation,[],[f1504]) ).
fof(f2864,plain,
! [X0] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(flattening,[],[f2863]) ).
fof(f3032,plain,
! [X0,X1] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ? [X2] :
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo784226126e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(body)))
& is_pname(X2) )
| ~ hBOOL(hoare_1795711768gleton) ),
inference(ennf_transformation,[],[f1729]) ).
fof(f3033,plain,
! [X0,X1] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ? [X2] :
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo784226126e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(body)))
& is_pname(X2) )
| ~ hBOOL(hoare_1795711768gleton) ),
inference(flattening,[],[f3032]) ).
fof(f3034,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f1730]) ).
fof(f3035,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f3034]) ).
fof(f3997,plain,
! [X0,X1] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| ~ hBOOL(hAPP_pname_bool(X1,X0)) )
& ( hBOOL(hAPP_pname_bool(X1,X0))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1)) ) ),
inference(nnf_transformation,[],[f1672]) ).
fof(f4015,plain,
! [X1] :
( ? [X2] :
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo784226126e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(body)))
& is_pname(X2) )
=> ( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sK28(X1)))),bot_bo784226126e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK28(X1)),dom_pname_com(body)))
& is_pname(sK28(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f4016,plain,
! [X0,X1] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sK28(X1)))),bot_bo784226126e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK28(X1)),dom_pname_com(body)))
& is_pname(sK28(X1)) )
| ~ hBOOL(hoare_1795711768gleton) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f3033,f4015]) ).
fof(f4736,plain,
! [X0] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)),
inference(cnf_transformation,[],[f1443]) ).
fof(f4740,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
inference(cnf_transformation,[],[f2794]) ).
fof(f4811,plain,
! [X0] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(cnf_transformation,[],[f2864]) ).
fof(f5077,plain,
! [X0,X1] :
( hBOOL(hAPP_pname_bool(X1,X0))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1)) ),
inference(cnf_transformation,[],[f3997]) ).
fof(f5079,plain,
! [X0] : hAPP_f806699093e_bool(collec637225377_state,X0) = X0,
inference(cnf_transformation,[],[f1673]) ).
fof(f5158,plain,
! [X0] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,X0)),
inference(cnf_transformation,[],[f1728]) ).
fof(f5160,plain,
! [X0,X1] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK28(X1)),dom_pname_com(body)))
| ~ hBOOL(hoare_1795711768gleton) ),
inference(cnf_transformation,[],[f4016]) ).
fof(f5162,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f3035]) ).
fof(f5699,plain,
! [X0] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X0)),
inference(cnf_transformation,[],[f1994]) ).
fof(f6588,plain,
! [X0] : 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,[],[f2540]) ).
fof(f6858,plain,
hBOOL(hoare_1795711768gleton),
inference(cnf_transformation,[],[f1434]) ).
fof(f6859,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f1435]) ).
fof(f6863,plain,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
inference(cnf_transformation,[],[f1439]) ).
fof(f6865,plain,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(cnf_transformation,[],[f2767]) ).
fof(f6869,plain,
! [X0,X1] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK28(X1)),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)))))
| ~ hBOOL(hoare_1795711768gleton) ),
inference(definition_unfolding,[],[f5160,f6588]) ).
fof(f6888,plain,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_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_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(definition_unfolding,[],[f6865,f6588]) ).
cnf(c_131,plain,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)),
inference(cnf_transformation,[],[f4736]) ).
cnf(c_135,plain,
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2)) ),
inference(cnf_transformation,[],[f4740]) ).
cnf(c_206,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton)
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ),
inference(cnf_transformation,[],[f4811]) ).
cnf(c_471,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| hBOOL(hAPP_pname_bool(X1,X0)) ),
inference(cnf_transformation,[],[f5077]) ).
cnf(c_472,plain,
hAPP_f806699093e_bool(collec637225377_state,X0) = X0,
inference(cnf_transformation,[],[f5079]) ).
cnf(c_551,plain,
hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,X0)),
inference(cnf_transformation,[],[f5158]) ).
cnf(c_553,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(hoare_1795711768gleton)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK28(X1)),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)))))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ),
inference(cnf_transformation,[],[f6869]) ).
cnf(c_555,plain,
( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies)
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(cnf_transformation,[],[f5162]) ).
cnf(c_1080,plain,
hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X0)),
inference(cnf_transformation,[],[f5699]) ).
cnf(c_2230,plain,
hBOOL(hoare_1795711768gleton),
inference(cnf_transformation,[],[f6858]) ).
cnf(c_2231,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f6859]) ).
cnf(c_2235,plain,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
inference(cnf_transformation,[],[f6863]) ).
cnf(c_2237,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_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_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(cnf_transformation,[],[f6888]) ).
cnf(c_3869,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ),
inference(global_subsumption_just,[status(thm)],[c_206,c_2231,c_2230,c_206]) ).
cnf(c_3913,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK28(X1)),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)))))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ),
inference(global_subsumption_just,[status(thm)],[c_553,c_2230,c_553]) ).
cnf(c_4457,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ),
inference(prop_impl_just,[status(thm)],[c_3869]) ).
cnf(c_17194,plain,
hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,X0)) = set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X0)),
inference(light_normalisation,[status(thm)],[c_551,c_1080]) ).
cnf(c_17195,plain,
set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X0)) = hAPP_H216526335e_bool(fequal1440809015_state,X0),
inference(demodulation,[status(thm)],[c_17194,c_472]) ).
cnf(c_17197,plain,
hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = hAPP_H216526335e_bool(fequal1440809015_state,X0),
inference(demodulation,[status(thm)],[c_1080,c_17195]) ).
cnf(c_17862,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)))) ),
inference(demodulation,[status(thm)],[c_4457,c_17197]) ).
cnf(c_21911,plain,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_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_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)))),
inference(demodulation,[status(thm)],[c_2237,c_17197]) ).
cnf(c_22596,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK28(X1)),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)))))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)))) ),
inference(demodulation,[status(thm)],[c_3913,c_17197]) ).
cnf(c_48032,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)))) ),
inference(prop_impl_just,[status(thm)],[c_17862]) ).
cnf(c_48254,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) ),
inference(prop_impl_just,[status(thm)],[c_2231,c_555]) ).
cnf(c_48255,plain,
( hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(renaming,[status(thm)],[c_48254]) ).
cnf(c_128215,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_pname_bool(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))),sK28(X1)))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)))) ),
inference(superposition,[status(thm)],[c_22596,c_471]) ).
cnf(c_136146,plain,
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool))
| ~ hBOOL(hAPP_com_bool(wt,X1))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)))) ),
inference(superposition,[status(thm)],[c_48032,c_135]) ).
cnf(c_136211,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136146,c_131]) ).
cnf(c_194611,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_128215,c_136211]) ).
cnf(c_194618,plain,
~ hBOOL(hAPP_com_bool(wt,y)),
inference(superposition,[status(thm)],[c_194611,c_21911]) ).
cnf(c_203951,plain,
( hAPP_p799580910on_com(body,pn) != hAPP_com_option_com(some_com,y)
| hBOOL(hAPP_com_bool(wt,y)) ),
inference(instantiation,[status(thm)],[c_48255]) ).
cnf(c_203952,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_203951,c_194618,c_2235]) ).
%------------------------------------------------------------------------------
%----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
% 0.13/0.35 % Computer : n025.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 : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 18:31:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 77.72/11.36 % SZS status Started for theBenchmark.p
% 77.72/11.36 % SZS status Theorem for theBenchmark.p
% 77.72/11.36
% 77.72/11.36 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 77.72/11.36
% 77.72/11.36 ------ iProver source info
% 77.72/11.36
% 77.72/11.36 git: date: 2023-05-31 18:12:56 +0000
% 77.72/11.36 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 77.72/11.36 git: non_committed_changes: false
% 77.72/11.36 git: last_make_outside_of_git: false
% 77.72/11.36
% 77.72/11.36 ------ Parsing...
% 77.72/11.36 ------ Clausification by vclausify_rel & Parsing by iProver...
% 77.72/11.36
% 77.72/11.36 ------ Preprocessing... sup_sim: 320 sf_s rm: 11 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 77.72/11.36
% 77.72/11.36 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 77.72/11.36
% 77.72/11.36 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 77.72/11.36 ------ Proving...
% 77.72/11.36 ------ Problem Properties
% 77.72/11.36
% 77.72/11.36
% 77.72/11.36 clauses 1613
% 77.72/11.36 conjectures 0
% 77.72/11.36 EPR 23
% 77.72/11.36 Horn 1198
% 77.72/11.36 unary 451
% 77.72/11.36 binary 573
% 77.72/11.36 lits 3817
% 77.72/11.36 lits eq 932
% 77.72/11.36 fd_pure 0
% 77.72/11.36 fd_pseudo 0
% 77.72/11.36 fd_cond 120
% 77.72/11.36 fd_pseudo_cond 65
% 77.72/11.36 AC symbols 0
% 77.72/11.36
% 77.72/11.36 ------ Schedule dynamic 5 is on
% 77.72/11.36
% 77.72/11.36 ------ no conjectures: strip conj schedule
% 77.72/11.36
% 77.72/11.36 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 77.72/11.36
% 77.72/11.36
% 77.72/11.36 ------
% 77.72/11.36 Current options:
% 77.72/11.36 ------
% 77.72/11.36
% 77.72/11.36
% 77.72/11.36
% 77.72/11.36
% 77.72/11.36 ------ Proving...
% 77.72/11.36
% 77.72/11.36
% 77.72/11.36 % SZS status Theorem for theBenchmark.p
% 77.72/11.36
% 77.72/11.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 77.72/11.36
% 77.72/11.37
%------------------------------------------------------------------------------