TSTP Solution File: SWW470+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW470+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : 600s
% DateTime : Thu Jul 21 01:28:32 EDT 2022
% Result : Theorem 0.67s 0.90s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of clauses : 59 ( 32 unt; 14 nHn; 59 RR)
% Number of literals : 105 ( 0 equ; 40 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 22 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
is_bool(bot_bot_bool),
file('SWW470+1.p',unknown),
[] ).
cnf(2,axiom,
is_bool(fFalse),
file('SWW470+1.p',unknown),
[] ).
cnf(10,axiom,
hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool)),
file('SWW470+1.p',unknown),
[] ).
cnf(11,axiom,
equal(collec1266446174iple_a(u),u),
file('SWW470+1.p',unknown),
[] ).
cnf(12,axiom,
hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(u),bot_bo1687970473a_bool)),
file('SWW470+1.p',unknown),
[] ).
cnf(13,axiom,
equal(collec1266446174iple_a(cOMBK_1150238960iple_a(fFalse)),bot_bo1687970473a_bool),
file('SWW470+1.p',unknown),
[] ).
cnf(21,axiom,
equal(hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(u),v),u),
file('SWW470+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,u)) ),
file('SWW470+1.p',unknown),
[] ).
cnf(34,axiom,
~ hBOOL(hAPP_H1927961489a_bool(finite388748825iple_a(u,bot_bo1687970473a_bool),v)),
file('SWW470+1.p',unknown),
[] ).
cnf(44,axiom,
( hBOOL(hAPP_H1927961489a_bool(u,skf58(u)))
| equal(collec1266446174iple_a(u),bot_bo1687970473a_bool) ),
file('SWW470+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ is_bool(u)
| equal(u,fFalse)
| equal(u,fTrue) ),
file('SWW470+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ is_bool(u)
| equal(hAPP_state_bool(cOMBK_bool_state(u),v),u) ),
file('SWW470+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ is_bool(u)
| equal(hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(u),v),u) ),
file('SWW470+1.p',unknown),
[] ).
cnf(59,axiom,
equal(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,u),bot_bo1687970473a_bool),collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,u))),
file('SWW470+1.p',unknown),
[] ).
cnf(137,axiom,
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(u),v))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(w),u))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(w),v)) ),
file('SWW470+1.p',unknown),
[] ).
cnf(157,axiom,
( ~ hBOOL(hAPP_f1753944735l_bool(u,bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,v))
| hBOOL(hAPP_f1753944735l_bool(u,v))
| hBOOL(hAPP_f1753944735l_bool(u,skf85(u))) ),
file('SWW470+1.p',unknown),
[] ).
cnf(183,axiom,
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(u,skf47(u,v,w,x)),skf46(u,v,w,x)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(y),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(u,z,x1)),bot_bo1687970473a_bool))) ),
file('SWW470+1.p',unknown),
[] ).
cnf(184,axiom,
( ~ hBOOL(hAPP_f1753944735l_bool(u,hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,skf95(u)),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,v))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,skf96(u)))
| hBOOL(hAPP_f1753944735l_bool(u,v))
| equal(v,bot_bo1687970473a_bool) ),
file('SWW470+1.p',unknown),
[] ).
cnf(197,axiom,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
file('SWW470+1.p',unknown),
[] ).
cnf(217,plain,
equal(cOMBK_1150238960iple_a(fFalse),bot_bo1687970473a_bool),
inference(rew,[status(thm),theory(equality)],[11,13]),
[iquote('0:Rew:11.0,13.0')] ).
cnf(218,plain,
( hBOOL(hAPP_H1927961489a_bool(u,skf58(u)))
| equal(u,bot_bo1687970473a_bool) ),
inference(rew,[status(thm),theory(equality)],[11,44]),
[iquote('0:Rew:11.0,44.1')] ).
cnf(222,plain,
equal(hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,u),bot_bo1687970473a_bool),hAPP_H562195827a_bool(fequal1878252616iple_a,u)),
inference(rew,[status(thm),theory(equality)],[11,59]),
[iquote('0:Rew:11.0,59.0')] ).
cnf(254,plain,
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(u),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(v,w,x))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(v,skf47(v,y,z,x1)),skf46(v,y,z,x1))) ),
inference(rew,[status(thm),theory(equality)],[222,183]),
[iquote('0:Rew:222.0,183.1')] ).
cnf(255,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(u,hAPP_H562195827a_bool(fequal1878252616iple_a,skf95(u))))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,v))
| hBOOL(hAPP_f1753944735l_bool(u,v))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,skf96(u)))
| equal(v,bot_bo1687970473a_bool) ),
inference(rew,[status(thm),theory(equality)],[222,184]),
[iquote('0:Rew:222.0,184.0')] ).
cnf(259,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))),
inference(rew,[status(thm),theory(equality)],[222,197]),
[iquote('0:Rew:222.0,197.0')] ).
cnf(277,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(u),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),u)) ),
inference(res,[status(thm),theory(equality)],[137,259]),
[iquote('0:Res:137.2,259.0')] ).
cnf(278,plain,
hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),skf47(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),u,v,w)),skf46(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),u,v,w))),
inference(res,[status(thm),theory(equality)],[254,259]),
[iquote('0:Res:254.1,259.0')] ).
cnf(293,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,skf95(hoare_472868247rivs_a(g)))))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,skf96(hoare_472868247rivs_a(g))))
| equal(hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool) ),
inference(res,[status(thm),theory(equality)],[255,259]),
[iquote('0:Res:255.3,259.0')] ).
cnf(296,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),skf85(hoare_472868247rivs_a(g)))) ),
inference(res,[status(thm),theory(equality)],[157,259]),
[iquote('0:Res:157.3,259.0')] ).
cnf(307,plain,
hBOOL(hAPP_state_bool(cOMBK_bool_state(fFalse),skf46(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),u,v,w))),
inference(rew,[status(thm),theory(equality)],[21,278]),
[iquote('0:Rew:21.0,278.0')] ).
cnf(309,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),skf85(hoare_472868247rivs_a(g)))) ),
inference(mrr,[status(thm)],[296,12]),
[iquote('0:MRR:296.0,12.0')] ).
cnf(316,plain,
equal(hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool),
inference(spt,[spt(split,[position(s1)])],[293]),
[iquote('1:Spt:293.3')] ).
cnf(319,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),skf85(hoare_472868247rivs_a(g)))) ),
inference(rew,[status(thm),theory(equality)],[316,309]),
[iquote('1:Rew:316.0,309.0')] ).
cnf(321,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(u),bot_bo1687970473a_bool))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),u)) ),
inference(rew,[status(thm),theory(equality)],[316,277]),
[iquote('1:Rew:316.0,277.0')] ).
cnf(323,plain,
hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),skf85(hoare_472868247rivs_a(g)))),
inference(mrr,[status(thm)],[319,10]),
[iquote('1:MRR:319.0,10.0')] ).
cnf(324,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),u)),
inference(mrr,[status(thm)],[321,12]),
[iquote('1:MRR:321.0,12.0')] ).
cnf(325,plain,
$false,
inference(unc,[status(thm)],[324,323]),
[iquote('1:UnC:324.0,323.0')] ).
cnf(328,plain,
~ equal(hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool),
inference(spt,[spt(split,[position(sa)])],[325,316]),
[iquote('1:Spt:325.0,293.3,316.0')] ).
cnf(329,plain,
( ~ hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,skf95(hoare_472868247rivs_a(g)))))
| hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,skf96(hoare_472868247rivs_a(g)))) ),
inference(spt,[spt(split,[position(s2)])],[293]),
[iquote('1:Spt:325.0,293.0,293.1,293.2')] ).
cnf(342,plain,
equal(finite388748825iple_a(u,bot_bo1687970473a_bool),bot_bo1687970473a_bool),
inference(res,[status(thm),theory(equality)],[218,34]),
[iquote('0:Res:218.0,34.0')] ).
cnf(343,plain,
~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,u)),
inference(rew,[status(thm),theory(equality)],[342,34]),
[iquote('0:Rew:342.0,34.0')] ).
cnf(344,plain,
~ hBOOL(bot_bot_bool),
inference(mrr,[status(thm)],[31,343]),
[iquote('0:MRR:31.1,343.0')] ).
cnf(358,plain,
( equal(fFalse,bot_bot_bool)
| equal(fTrue,bot_bot_bool) ),
inference(ems,[status(thm)],[55,1]),
[iquote('0:EmS:55.0,1.0')] ).
cnf(361,plain,
equal(fFalse,bot_bot_bool),
inference(spt,[spt(split,[position(s2s1)])],[358]),
[iquote('2:Spt:358.0')] ).
cnf(382,plain,
hBOOL(hAPP_state_bool(cOMBK_bool_state(bot_bot_bool),skf46(cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)),u,v,w))),
inference(rew,[status(thm),theory(equality)],[361,307]),
[iquote('2:Rew:361.0,307.0')] ).
cnf(411,plain,
( ~ is_bool(u)
| hBOOL(u)
| equal(cOMBK_1150238960iple_a(u),bot_bo1687970473a_bool) ),
inference(spr,[status(thm),theory(equality)],[58,218]),
[iquote('0:SpR:58.1,218.0')] ).
cnf(424,plain,
( ~ is_bool(u)
| ~ is_bool(u)
| hBOOL(u)
| equal(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,v),u) ),
inference(spr,[status(thm),theory(equality)],[411,58]),
[iquote('0:SpR:411.2,58.1')] ).
cnf(426,plain,
( ~ is_bool(u)
| hBOOL(u)
| equal(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,v),u) ),
inference(obv,[status(thm),theory(equality)],[424]),
[iquote('0:Obv:424.0')] ).
cnf(736,plain,
( ~ is_bool(bot_bot_bool)
| hBOOL(bot_bot_bool) ),
inference(spr,[status(thm),theory(equality)],[57,382]),
[iquote('2:SpR:57.1,382.0')] ).
cnf(737,plain,
hBOOL(bot_bot_bool),
inference(ssi,[status(thm)],[736,1]),
[iquote('2:SSi:736.0,1.0')] ).
cnf(738,plain,
$false,
inference(mrr,[status(thm)],[737,344]),
[iquote('2:MRR:737.0,344.0')] ).
cnf(739,plain,
~ equal(fFalse,bot_bot_bool),
inference(spt,[spt(split,[position(s2sa)])],[738,361]),
[iquote('2:Spt:738.0,358.0,361.0')] ).
cnf(740,plain,
equal(fTrue,bot_bot_bool),
inference(spt,[spt(split,[position(s2s2)])],[358]),
[iquote('2:Spt:738.0,358.1')] ).
cnf(751,plain,
( ~ is_bool(fFalse)
| equal(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,u),fFalse) ),
inference(spr,[status(thm),theory(equality)],[217,58]),
[iquote('0:SpR:217.0,58.1')] ).
cnf(754,plain,
equal(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,u),fFalse),
inference(ssi,[status(thm)],[751,2]),
[iquote('0:SSi:751.0,2.0')] ).
cnf(756,plain,
( ~ is_bool(u)
| hBOOL(u)
| equal(fFalse,u) ),
inference(rew,[status(thm),theory(equality)],[754,426]),
[iquote('0:Rew:754.0,426.2')] ).
cnf(776,plain,
( ~ is_bool(bot_bot_bool)
| equal(fFalse,bot_bot_bool) ),
inference(res,[status(thm),theory(equality)],[756,344]),
[iquote('0:Res:756.1,344.0')] ).
cnf(778,plain,
equal(fFalse,bot_bot_bool),
inference(ssi,[status(thm)],[776,1]),
[iquote('0:SSi:776.0,1.0')] ).
cnf(779,plain,
$false,
inference(mrr,[status(thm)],[778,739]),
[iquote('2:MRR:778.0,739.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW470+1 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 5 02:40:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/0.90
% 0.67/0.90 SPASS V 3.9
% 0.67/0.90 SPASS beiseite: Proof found.
% 0.67/0.90 % SZS status Theorem
% 0.67/0.90 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.90 SPASS derived 405 clauses, backtracked 56 clauses, performed 2 splits and kept 380 clauses.
% 0.67/0.90 SPASS allocated 101715 KBytes.
% 0.67/0.90 SPASS spent 0:00:00.56 on the problem.
% 0.67/0.90 0:00:00.04 for the input.
% 0.67/0.90 0:00:00.35 for the FLOTTER CNF translation.
% 0.67/0.90 0:00:00.01 for inferences.
% 0.67/0.90 0:00:00.00 for the backtracking.
% 0.67/0.90 0:00:00.10 for the reduction.
% 0.67/0.90
% 0.67/0.90
% 0.67/0.90 Here is a proof with depth 3, length 59 :
% 0.67/0.90 % SZS output start Refutation
% See solution above
% 0.67/0.91 Formulae used in the proof : gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool gsy_c_fFalse fact_71_finite_OemptyI fact_74_Collect__def fact_0_empty fact_22_empty__def help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U fact_42_bot__fun__def fact_66_fold1Set__nonempty fact_19_empty__Collect__eq help_fFalse_1_1_T help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__ fact_12_singleton__conv2 fact_2_cut fact_86_finite__induct fact_5_escape fact_92_finite__ne__induct help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_ fact_17_Collect__empty__eq conj_0
% 0.67/0.91
%------------------------------------------------------------------------------