TSTP Solution File: SWW474+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWW474+1 : TPTP v5.3.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2800MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Nov 27 14:53:58 EST 2011
% Result : Theorem 0.94s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 89 ( 53 unt; 0 def)
% Number of atoms : 156 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 119 ( 52 ~; 59 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 15 con; 0-2 aty)
% Number of variables : 85 ( 11 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(14,axiom,
! [X4] : is_bool(wt(X4)),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',gsy_c_Com_OWT) ).
fof(34,axiom,
! [X20,X14] : equal(insert1415133716_state(X20,collec307967673_state(X14)),collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X20))),X14))),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',fact_183_insert__Collect) ).
fof(100,axiom,
! [X30,X31,X32] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X31),X32))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X31),X30))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X30),X32)) ) ),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',fact_3_thin) ).
fof(108,axiom,
! [X20] : equal(collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X20)),insert1415133716_state(X20,bot_bo620288102e_bool)),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',fact_280_singleton__conv) ).
fof(116,axiom,
~ hBOOL(fFalse),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',help_fFalse_1_1_U) ).
fof(117,axiom,
! [X16] :
( is_bool(X16)
=> ( equal(X16,fTrue)
| equal(X16,fFalse) ) ),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',help_fFalse_1_1_T) ).
fof(250,axiom,
! [X4,X5] : is_bool(hAPP_f971112728l_bool(X4,X5)),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004) ).
fof(302,axiom,
! [X3] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X3)),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',fact_33_empty__subsetI) ).
fof(340,axiom,
! [X1] :
( hBOOL(hoare_165779456gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X1))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool))) ) ) ),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',fact_103_MGF) ).
fof(376,axiom,
! [X20] : equal(collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X20)),insert1415133716_state(X20,bot_bo620288102e_bool)),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',fact_284_singleton__conv2) ).
fof(379,axiom,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',fact_44_finite_OemptyI) ).
fof(397,axiom,
! [X40,X41] :
( hBOOL(wT_bodies)
=> ( equal(hAPP_p799580910on_com(body,X40),some_com(X41))
=> hBOOL(wt(X41)) ) ),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',fact_288_WT__bodiesD) ).
fof(402,axiom,
hBOOL(wT_bodies),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',conj_1) ).
fof(403,axiom,
hBOOL(hoare_165779456gleton),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',conj_0) ).
fof(406,axiom,
equal(hAPP_p799580910on_com(body,pn),some_com(y)),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',conj_5) ).
fof(408,conjecture,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',conj_7) ).
fof(420,axiom,
! [X14] : equal(collec307967673_state(X14),X14),
file('/tmp/tmpntR4Ee/sel_SWW474+1.p_1',fact_255_Collect__def) ).
fof(429,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(assume_negation,[status(cth)],[408]) ).
fof(448,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[116,theory(equality)]) ).
fof(492,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(fof_simplification,[status(thm)],[429,theory(equality)]) ).
fof(538,plain,
! [X5] : is_bool(wt(X5)),
inference(variable_rename,[status(thm)],[14]) ).
cnf(539,plain,
is_bool(wt(X1)),
inference(split_conjunct,[status(thm)],[538]) ).
fof(606,plain,
! [X21,X22] : equal(insert1415133716_state(X21,collec307967673_state(X22)),collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X21))),X22))),
inference(variable_rename,[status(thm)],[34]) ).
cnf(607,plain,
insert1415133716_state(X1,collec307967673_state(X2)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1))),X2)),
inference(split_conjunct,[status(thm)],[606]) ).
fof(839,plain,
! [X30,X31,X32] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X31),X32))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X31),X30))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X30),X32)) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(840,plain,
! [X33,X34,X35] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X34),X35))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X34),X33))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X33),X35)) ),
inference(variable_rename,[status(thm)],[839]) ).
cnf(841,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[840]) ).
fof(865,plain,
! [X21] : equal(collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X21)),insert1415133716_state(X21,bot_bo620288102e_bool)),
inference(variable_rename,[status(thm)],[108]) ).
cnf(866,plain,
collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
inference(split_conjunct,[status(thm)],[865]) ).
cnf(884,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[448]) ).
fof(885,plain,
! [X16] :
( ~ is_bool(X16)
| equal(X16,fTrue)
| equal(X16,fFalse) ),
inference(fof_nnf,[status(thm)],[117]) ).
fof(886,plain,
! [X17] :
( ~ is_bool(X17)
| equal(X17,fTrue)
| equal(X17,fFalse) ),
inference(variable_rename,[status(thm)],[885]) ).
cnf(887,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[886]) ).
fof(1309,plain,
! [X6,X7] : is_bool(hAPP_f971112728l_bool(X6,X7)),
inference(variable_rename,[status(thm)],[250]) ).
cnf(1310,plain,
is_bool(hAPP_f971112728l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[1309]) ).
fof(1485,plain,
! [X4] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X4)),
inference(variable_rename,[status(thm)],[302]) ).
cnf(1486,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X1)),
inference(split_conjunct,[status(thm)],[1485]) ).
fof(1609,plain,
! [X1] :
( ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X1))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool))) ),
inference(fof_nnf,[status(thm)],[340]) ).
fof(1610,plain,
! [X2] :
( ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool))) ),
inference(variable_rename,[status(thm)],[1609]) ).
cnf(1611,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton) ),
inference(split_conjunct,[status(thm)],[1610]) ).
fof(1716,plain,
! [X21] : equal(collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X21)),insert1415133716_state(X21,bot_bo620288102e_bool)),
inference(variable_rename,[status(thm)],[376]) ).
cnf(1717,plain,
collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
inference(split_conjunct,[status(thm)],[1716]) ).
cnf(1727,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
inference(split_conjunct,[status(thm)],[379]) ).
fof(1776,plain,
! [X40,X41] :
( ~ hBOOL(wT_bodies)
| ~ equal(hAPP_p799580910on_com(body,X40),some_com(X41))
| hBOOL(wt(X41)) ),
inference(fof_nnf,[status(thm)],[397]) ).
fof(1777,plain,
! [X42,X43] :
( ~ hBOOL(wT_bodies)
| ~ equal(hAPP_p799580910on_com(body,X42),some_com(X43))
| hBOOL(wt(X43)) ),
inference(variable_rename,[status(thm)],[1776]) ).
cnf(1778,plain,
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(split_conjunct,[status(thm)],[1777]) ).
cnf(1790,plain,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[402]) ).
cnf(1791,plain,
hBOOL(hoare_165779456gleton),
inference(split_conjunct,[status(thm)],[403]) ).
cnf(1794,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(split_conjunct,[status(thm)],[406]) ).
cnf(1798,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(split_conjunct,[status(thm)],[492]) ).
fof(1832,plain,
! [X15] : equal(collec307967673_state(X15),X15),
inference(variable_rename,[status(thm)],[420]) ).
cnf(1833,plain,
collec307967673_state(X1) = X1,
inference(split_conjunct,[status(thm)],[1832]) ).
cnf(1863,plain,
hAPP_H1049623551e_bool(fequal1111551311_state,X1) = insert1415133716_state(X1,bot_bo620288102e_bool),
inference(rw,[status(thm)],[1717,1833,theory(equality)]),
[unfolding] ).
cnf(1864,plain,
hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1) = insert1415133716_state(X1,bot_bo620288102e_bool),
inference(rw,[status(thm)],[866,1833,theory(equality)]),
[unfolding] ).
cnf(1865,plain,
cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1))),X2) = insert1415133716_state(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[607,1833,theory(equality)]),1833,theory(equality)]),
[unfolding] ).
cnf(1902,plain,
hAPP_H1049623551e_bool(fequal1111551311_state,X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1))),bot_bo620288102e_bool),
inference(rw,[status(thm)],[1863,1865,theory(equality)]),
[unfolding] ).
cnf(1904,plain,
hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1))),bot_bo620288102e_bool),
inference(rw,[status(thm)],[1864,1865,theory(equality)]),
[unfolding] ).
cnf(1957,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1)))),bot_bo620288102e_bool)))
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[1611,1865,theory(equality)]),
[unfolding] ).
cnf(1962,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)))),bot_bo620288102e_bool))),
inference(rw,[status(thm)],[1798,1865,theory(equality)]),
[unfolding] ).
cnf(2061,plain,
( fTrue = wt(X1)
| fFalse = wt(X1) ),
inference(spm,[status(thm)],[887,539,theory(equality)]) ).
cnf(2062,plain,
( fTrue = hAPP_f971112728l_bool(X1,X2)
| fFalse = hAPP_f971112728l_bool(X1,X2) ),
inference(spm,[status(thm)],[887,1310,theory(equality)]) ).
cnf(2140,plain,
hAPP_H1049623551e_bool(fequal1111551311_state,X1) = hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1),
inference(rw,[status(thm)],[1904,1902,theory(equality)]) ).
cnf(2141,plain,
cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(fequal1111551311_state,X1))),bot_bo620288102e_bool) = hAPP_H1049623551e_bool(fequal1111551311_state,X1),
inference(rw,[status(thm)],[1902,2140,theory(equality)]) ).
cnf(2299,plain,
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1)
| $false ),
inference(rw,[status(thm)],[1778,1790,theory(equality)]) ).
cnf(2300,plain,
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1) ),
inference(cn,[status(thm)],[2299,theory(equality)]) ).
cnf(2301,plain,
( hBOOL(wt(X1))
| some_com(y) != some_com(X1) ),
inference(spm,[status(thm)],[2300,1794,theory(equality)]) ).
cnf(2432,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X2)) ),
inference(spm,[status(thm)],[841,1486,theory(equality)]) ).
cnf(2595,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1)))),bot_bo620288102e_bool)))
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[1957,2140,theory(equality)]) ).
cnf(2596,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1)))),bot_bo620288102e_bool)))
| $false
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[2595,1791,theory(equality)]) ).
cnf(2597,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1)))),bot_bo620288102e_bool)))
| $false
| $false
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[2596,1790,theory(equality)]) ).
cnf(2598,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1)))),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X1)) ),
inference(cn,[status(thm)],[2597,theory(equality)]) ).
cnf(2791,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)))),bot_bo620288102e_bool))),
inference(rw,[status(thm)],[1962,2140,theory(equality)]) ).
cnf(4255,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)))),
inference(rw,[status(thm)],[2791,2141,theory(equality)]) ).
cnf(4277,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))))
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[2598,2141,theory(equality)]) ).
cnf(4417,plain,
( hBOOL(fTrue)
| hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool) = fFalse ),
inference(spm,[status(thm)],[1727,2062,theory(equality)]) ).
cnf(4504,plain,
( hBOOL(fFalse)
| hBOOL(fTrue) ),
inference(spm,[status(thm)],[1727,4417,theory(equality)]) ).
cnf(4509,plain,
hBOOL(fTrue),
inference(sr,[status(thm)],[4504,884,theory(equality)]) ).
cnf(5235,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X2) = fFalse
| ~ hBOOL(fTrue) ),
inference(spm,[status(thm)],[2432,2062,theory(equality)]) ).
cnf(5246,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X2) = fFalse
| $false ),
inference(rw,[status(thm)],[5235,4509,theory(equality)]) ).
cnf(5247,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X2) = fFalse ),
inference(cn,[status(thm)],[5246,theory(equality)]) ).
cnf(5275,plain,
hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))) = fFalse,
inference(spm,[status(thm)],[4255,5247,theory(equality)]) ).
cnf(5298,plain,
( hBOOL(fFalse)
| ~ hBOOL(wt(y)) ),
inference(spm,[status(thm)],[4277,5275,theory(equality)]) ).
cnf(5307,plain,
~ hBOOL(wt(y)),
inference(sr,[status(thm)],[5298,884,theory(equality)]) ).
cnf(5310,plain,
( wt(y) = fFalse
| ~ hBOOL(fTrue) ),
inference(spm,[status(thm)],[5307,2061,theory(equality)]) ).
cnf(5311,plain,
( wt(y) = fFalse
| $false ),
inference(rw,[status(thm)],[5310,4509,theory(equality)]) ).
cnf(5312,plain,
wt(y) = fFalse,
inference(cn,[status(thm)],[5311,theory(equality)]) ).
cnf(6324,plain,
hBOOL(fFalse),
inference(spm,[status(thm)],[2301,5312,theory(equality)]) ).
cnf(6326,plain,
$false,
inference(sr,[status(thm)],[6324,884,theory(equality)]) ).
cnf(6327,plain,
$false,
6326,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWW/SWW474+1.p
% --creating new selector for []
% -running prover on /tmp/tmpntR4Ee/sel_SWW474+1.p_1 with time limit 29
% -running prover with command ['/davis/home/graph/tptp/Systems/SInE---0.4/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/tmp/tmpntR4Ee/sel_SWW474+1.p_1']
% -prover status Theorem
% Problem SWW474+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWW/SWW474+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWW/SWW474+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------