TSTP Solution File: SWW474+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 May 3 03:25:17 EDT 2024
% Result : Theorem 111.50s 15.71s
% Output : CNFRefutation 111.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 75 ( 36 unt; 0 def)
% Number of atoms : 169 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 157 ( 63 ~; 59 |; 10 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 13 con; 0-2 aty)
% Number of variables : 95 ( 7 sgn 57 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
! [X2] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),bot_bo1055319631e_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
fof(f59,axiom,
! [X2,X5,X3] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X5),X3))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X5))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
fof(f108,axiom,
! [X14] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X14))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X14)),bot_bo1055319631e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_MGF) ).
fof(f232,axiom,
! [X13] : hAPP_f921536533e_bool(collec727977250_state,X13) = X13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_Collect__def) ).
fof(f268,axiom,
! [X11] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X11),bot_bo1055319631e_bool) = hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_singleton__conv2) ).
fof(f269,axiom,
! [X14,X2] :
( hBOOL(hoare_298929751gleton)
=> ( ! [X20] :
( is_pname(X20)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),dom_pname_com(body)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X20))),bot_bo1055319631e_bool))) ) )
=> ( hBOOL(hAPP_com_bool(wt,X14))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X14)),bot_bo1055319631e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_MGF__lemma1) ).
fof(f270,axiom,
! [X28,X29] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X28) = some_com(X29)
=> hBOOL(hAPP_com_bool(wt,X29)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_WT__bodiesD) ).
fof(f458,axiom,
! [X15] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X15),bot_bo1055319631e_bool) = set_Ho1831989999_state(some_H1133819688_state(X15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_403_Option_Oset_Osimps_I2_J) ).
fof(f861,axiom,
hBOOL(hoare_298929751gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f862,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f866,axiom,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f868,conjecture,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
fof(f869,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(negated_conjecture,[],[f868]) ).
fof(f870,plain,
! [X0] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool)),
inference(rectify,[],[f55]) ).
fof(f874,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2)) ) ),
inference(rectify,[],[f59]) ).
fof(f919,plain,
! [X0] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X0))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool))) ) ) ),
inference(rectify,[],[f108]) ).
fof(f1039,plain,
! [X0] : hAPP_f921536533e_bool(collec727977250_state,X0) = X0,
inference(rectify,[],[f232]) ).
fof(f1075,plain,
! [X0] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X0),bot_bo1055319631e_bool) = hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X0)),
inference(rectify,[],[f268]) ).
fof(f1076,plain,
! [X0,X1] :
( hBOOL(hoare_298929751gleton)
=> ( ! [X2] :
( is_pname(X2)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(body)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo1055319631e_bool))) ) )
=> ( hBOOL(hAPP_com_bool(wt,X0))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool))) ) ) ),
inference(rectify,[],[f269]) ).
fof(f1077,plain,
! [X0,X1] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X0) = some_com(X1)
=> hBOOL(hAPP_com_bool(wt,X1)) ) ),
inference(rectify,[],[f270]) ).
fof(f1264,plain,
! [X0] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X0),bot_bo1055319631e_bool) = set_Ho1831989999_state(some_H1133819688_state(X0)),
inference(rectify,[],[f458]) ).
fof(f1665,plain,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(flattening,[],[f869]) ).
fof(f1689,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(ennf_transformation,[],[f874]) ).
fof(f1690,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(flattening,[],[f1689]) ).
fof(f1747,plain,
! [X0] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(ennf_transformation,[],[f919]) ).
fof(f1748,plain,
! [X0] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(flattening,[],[f1747]) ).
fof(f1869,plain,
! [X0,X1] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ? [X2] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo1055319631e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(body)))
& is_pname(X2) )
| ~ hBOOL(hoare_298929751gleton) ),
inference(ennf_transformation,[],[f1076]) ).
fof(f1870,plain,
! [X0,X1] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ? [X2] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo1055319631e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(body)))
& is_pname(X2) )
| ~ hBOOL(hoare_298929751gleton) ),
inference(flattening,[],[f1869]) ).
fof(f1871,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f1077]) ).
fof(f1872,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f1871]) ).
fof(f2478,plain,
! [X1] :
( ? [X2] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo1055319631e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(body)))
& is_pname(X2) )
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sK17(X1)))),bot_bo1055319631e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK17(X1)),dom_pname_com(body)))
& is_pname(sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f2479,plain,
! [X0,X1] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sK17(X1)))),bot_bo1055319631e_bool)))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK17(X1)),dom_pname_com(body)))
& is_pname(sK17(X1)) )
| ~ hBOOL(hoare_298929751gleton) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f1870,f2478]) ).
fof(f2864,plain,
! [X0] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool)),
inference(cnf_transformation,[],[f870]) ).
fof(f2868,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(cnf_transformation,[],[f1690]) ).
fof(f2924,plain,
! [X0] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(cnf_transformation,[],[f1748]) ).
fof(f3119,plain,
! [X0] : hAPP_f921536533e_bool(collec727977250_state,X0) = X0,
inference(cnf_transformation,[],[f1039]) ).
fof(f3174,plain,
! [X0] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X0),bot_bo1055319631e_bool) = hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X0)),
inference(cnf_transformation,[],[f1075]) ).
fof(f3176,plain,
! [X0,X1] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK17(X1)),dom_pname_com(body)))
| ~ hBOOL(hoare_298929751gleton) ),
inference(cnf_transformation,[],[f2479]) ).
fof(f3178,plain,
! [X0,X1] :
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f1872]) ).
fof(f3549,plain,
! [X0] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X0),bot_bo1055319631e_bool) = set_Ho1831989999_state(some_H1133819688_state(X0)),
inference(cnf_transformation,[],[f1264]) ).
fof(f4102,plain,
hBOOL(hoare_298929751gleton),
inference(cnf_transformation,[],[f861]) ).
fof(f4103,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f862]) ).
fof(f4107,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f866]) ).
fof(f4109,plain,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(cnf_transformation,[],[f1665]) ).
cnf(c_103,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool)),
inference(cnf_transformation,[],[f2864]) ).
cnf(c_107,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X2)) ),
inference(cnf_transformation,[],[f2868]) ).
cnf(c_163,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton)
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool))) ),
inference(cnf_transformation,[],[f2924]) ).
cnf(c_357,plain,
hAPP_f921536533e_bool(collec727977250_state,X0) = X0,
inference(cnf_transformation,[],[f3119]) ).
cnf(c_412,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X0),bot_bo1055319631e_bool) = hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X0)),
inference(cnf_transformation,[],[f3174]) ).
cnf(c_414,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(hoare_298929751gleton)
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK17(X1)),dom_pname_com(body))) ),
inference(cnf_transformation,[],[f3176]) ).
cnf(c_416,plain,
( hAPP_p799580910on_com(body,X0) != some_com(X1)
| ~ hBOOL(wT_bodies)
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(cnf_transformation,[],[f3178]) ).
cnf(c_776,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X0),bot_bo1055319631e_bool) = set_Ho1831989999_state(some_H1133819688_state(X0)),
inference(cnf_transformation,[],[f3549]) ).
cnf(c_1326,plain,
hBOOL(hoare_298929751gleton),
inference(cnf_transformation,[],[f4102]) ).
cnf(c_1327,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f4103]) ).
cnf(c_1331,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f4107]) ).
cnf(c_1333,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(cnf_transformation,[],[f4109]) ).
cnf(c_2277,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool))) ),
inference(global_subsumption_just,[status(thm)],[c_163,c_1327,c_1326,c_163]) ).
cnf(c_2290,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK17(X1)),dom_pname_com(body))) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_1326,c_414]) ).
cnf(c_2635,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool))) ),
inference(prop_impl_just,[status(thm)],[c_2277]) ).
cnf(c_10375,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X0)) = set_Ho1831989999_state(some_H1133819688_state(X0)),
inference(light_normalisation,[status(thm)],[c_412,c_776]) ).
cnf(c_10376,plain,
hAPP_H1645666623e_bool(fequal1531560888_state,X0) = set_Ho1831989999_state(some_H1133819688_state(X0)),
inference(demodulation,[status(thm)],[c_10375,c_357]) ).
cnf(c_10378,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X0),bot_bo1055319631e_bool) = hAPP_H1645666623e_bool(fequal1531560888_state,X0),
inference(demodulation,[status(thm)],[c_776,c_10376]) ).
cnf(c_10845,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_H1645666623e_bool(fequal1531560888_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)))) ),
inference(demodulation,[status(thm)],[c_2635,c_10378]) ).
cnf(c_11424,plain,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_H1645666623e_bool(fequal1531560888_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)))),
inference(demodulation,[status(thm)],[c_1333,c_10378]) ).
cnf(c_12357,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_H1645666623e_bool(fequal1531560888_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sK17(X1)),dom_pname_com(body))) ),
inference(demodulation,[status(thm)],[c_2290,c_10378]) ).
cnf(c_28523,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_H1645666623e_bool(fequal1531560888_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)))) ),
inference(prop_impl_just,[status(thm)],[c_10845]) ).
cnf(c_28663,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X0) != some_com(X1) ),
inference(prop_impl_just,[status(thm)],[c_1327,c_416]) ).
cnf(c_28664,plain,
( hAPP_p799580910on_com(body,X0) != some_com(X1)
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(renaming,[status(thm)],[c_28663]) ).
cnf(c_73934,plain,
( hAPP_p799580910on_com(body,pn) != some_com(y)
| hBOOL(hAPP_com_bool(wt,y)) ),
inference(instantiation,[status(thm)],[c_28664]) ).
cnf(c_86455,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_com_bool(wt,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),hAPP_H1645666623e_bool(fequal1531560888_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)))) ),
inference(superposition,[status(thm)],[c_28523,c_107]) ).
cnf(c_86520,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_H1645666623e_bool(fequal1531560888_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86455,c_103]) ).
cnf(c_175877,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_H1645666623e_bool(fequal1531560888_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0))))
| ~ hBOOL(hAPP_com_bool(wt,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_12357,c_86520]) ).
cnf(c_175878,plain,
( ~ hBOOL(hAPP_com_bool(wt,X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_H1645666623e_bool(fequal1531560888_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)))) ),
inference(renaming,[status(thm)],[c_175877]) ).
cnf(c_175881,plain,
~ hBOOL(hAPP_com_bool(wt,y)),
inference(superposition,[status(thm)],[c_175878,c_11424]) ).
cnf(c_175882,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_175881,c_73934,c_1331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 2 22:17:46 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 111.50/15.71 % SZS status Started for theBenchmark.p
% 111.50/15.71 % SZS status Theorem for theBenchmark.p
% 111.50/15.71
% 111.50/15.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 111.50/15.71
% 111.50/15.71 ------ iProver source info
% 111.50/15.71
% 111.50/15.71 git: date: 2024-05-02 19:28:25 +0000
% 111.50/15.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 111.50/15.71 git: non_committed_changes: false
% 111.50/15.71
% 111.50/15.71 ------ Parsing...
% 111.50/15.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 111.50/15.71
% 111.50/15.71 ------ Preprocessing... sup_sim: 233 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 sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 111.50/15.71
% 111.50/15.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 111.50/15.71
% 111.50/15.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 111.50/15.71 ------ Proving...
% 111.50/15.71 ------ Problem Properties
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71 clauses 969
% 111.50/15.71 conjectures 0
% 111.50/15.71 EPR 15
% 111.50/15.71 Horn 716
% 111.50/15.71 unary 266
% 111.50/15.71 binary 315
% 111.50/15.71 lits 2388
% 111.50/15.71 lits eq 555
% 111.50/15.71 fd_pure 0
% 111.50/15.71 fd_pseudo 0
% 111.50/15.71 fd_cond 86
% 111.50/15.71 fd_pseudo_cond 48
% 111.50/15.71 AC symbols 0
% 111.50/15.71
% 111.50/15.71 ------ Schedule dynamic 5 is on
% 111.50/15.71
% 111.50/15.71 ------ no conjectures: strip conj schedule
% 111.50/15.71
% 111.50/15.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71 ------
% 111.50/15.71 Current options:
% 111.50/15.71 ------
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71 ------ Proving...
% 111.50/15.71 Proof_search_loop: time out after: 5623 full_loop iterations
% 111.50/15.71
% 111.50/15.71 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71 ------
% 111.50/15.71 Current options:
% 111.50/15.71 ------
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71 ------ Proving...
% 111.50/15.71
% 111.50/15.71
% 111.50/15.71 % SZS status Theorem for theBenchmark.p
% 111.50/15.71
% 111.50/15.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 111.50/15.72
% 111.50/15.72
%------------------------------------------------------------------------------