TSTP Solution File: SWW470+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW470+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 01:28:33 EDT 2022
% Result : Theorem 90.59s 90.81s
% Output : Refutation 93.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW470+2 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 5 12:39:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 90.59/90.81
% 90.59/90.81 SPASS V 3.9
% 90.59/90.81 SPASS beiseite: Proof found.
% 90.59/90.81 % SZS status Theorem
% 90.59/90.81 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.59/90.81 SPASS derived 45382 clauses, backtracked 2560 clauses, performed 9 splits and kept 12793 clauses.
% 90.59/90.81 SPASS allocated 148083 KBytes.
% 90.59/90.81 SPASS spent 0:1:30.39 on the problem.
% 90.59/90.81 0:00:00.06 for the input.
% 90.59/90.81 0:00:03.02 for the FLOTTER CNF translation.
% 90.59/90.81 0:00:02.20 for inferences.
% 90.59/90.81 0:00:02.55 for the backtracking.
% 90.59/90.81 0:1:21.26 for the reduction.
% 90.59/90.81
% 90.59/90.81
% 90.59/90.81 Here is a proof with depth 3, length 68 :
% 90.59/90.81 % SZS output start Refutation
% 90.59/90.81 1[0:Inp] || -> is_bool(bot_bot_bool)*.
% 90.59/90.81 7[0:Inp] || -> is_bool(finite1956789438t_bool(u))*.
% 90.59/90.81 15[0:Inp] || hBOOL(fFalse)* -> .
% 90.59/90.81 31[0:Inp] || -> equal(collec268032053iple_a(u),u)**.
% 90.59/90.81 35[0:Inp] || -> hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,bot_bo1181479936a_bool))*.
% 90.59/90.81 36[0:Inp] || -> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(u),bot_bo1181479936a_bool))*.
% 90.59/90.81 78[0:Inp] || -> hBOOL(u) hBOOL(bot_bot_bool) SkP2(u)*.
% 90.59/90.81 80[0:Inp] || -> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),u))*.
% 90.59/90.81 104[0:Inp] || hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,u),bot_bo1055319631e_bool))* -> .
% 90.59/90.81 117[0:Inp] || hBOOL(bot_bot_bool) -> hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,u))*.
% 90.59/90.81 164[0:Inp] || -> equal(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,u),v),u)**.
% 90.59/90.81 236[0:Inp] || SkP2(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,u),v))* -> SkP2(v).
% 90.59/90.81 237[0:Inp] || hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,u),bot_bot_bool))* -> hBOOL(u).
% 90.59/90.81 245[0:Inp] || hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,u),bot_bot_bool))* -> hBOOL(bot_bot_bool).
% 90.59/90.81 251[0:Inp] is_bool(u) || -> equal(u,fFalse) equal(u,fTrue)*.
% 90.59/90.81 253[0:Inp] || -> equal(hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,u),bot_bo1181479936a_bool),collec268032053iple_a(hAPP_H1190454433a_bool(fequal879838495iple_a,u)))**.
% 90.59/90.81 320[0:Inp] is_bool(u) || -> equal(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,u),v),u)**.
% 90.59/90.81 339[0:Inp] || hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,u)) -> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,u),bot_bo1055319631e_bool))*.
% 90.59/90.81 394[0:Inp] hBOOL(u) || hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,u),bot_bot_bool))* -> hBOOL(bot_bot_bool).
% 90.59/90.81 423[0:Inp] || -> hBOOL(finite1956789438t_bool(hAPP_f10625010t_bool(hAPP_f1115950719t_bool(cOMBB_1654519265ol_nat,hAPP_f1311642927t_bool(cOMBC_646315179t_bool,minus_2067140911t_bool)),hAPP_f1570313510t_bool(hAPP_f688831301t_bool(cOMBC_178881787t_bool,insert_nat),bot_bot_fun_nat_bool))))*.
% 90.59/90.81 593[0:Inp] || hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(u),v))*+ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(w),u))* -> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(w),v))*.
% 90.59/90.81 784[0:Inp] || hBOOL(hAPP_f540970102l_bool(u,bot_bo1181479936a_bool))+ hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,v))* -> hBOOL(hAPP_f540970102l_bool(u,v))* hBOOL(hAPP_f540970102l_bool(u,skf285(u)))*.
% 90.59/90.81 1036[0:Inp] || -> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(u,skf163(u,v,w,x)),skf162(u,v,w,x)))* hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(y),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(u,z,x1)),bot_bo1181479936a_bool)))*.
% 90.59/90.81 1049[0:Inp] || hBOOL(hAPP_f540970102l_bool(u,hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,skf300(u)),bot_bo1181479936a_bool)))* hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,v))* -> hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,skf301(u))) hBOOL(hAPP_f540970102l_bool(u,v))* equal(v,bot_bo1181479936a_bool).
% 90.59/90.81 1158[0:Inp] || hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)))* -> .
% 90.59/90.81 1224[0:Rew:31.0,253.0] || -> equal(hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,u),bot_bo1181479936a_bool),hAPP_H1190454433a_bool(fequal879838495iple_a,u))**.
% 90.59/90.81 1227[0:MRR:339.1,104.0] || hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,u))* -> .
% 90.59/90.81 1228[0:MRR:117.1,1227.0] || hBOOL(bot_bot_bool)* -> .
% 90.59/90.81 1229[0:MRR:78.1,1228.0] || -> SkP2(u)* hBOOL(u).
% 90.59/90.81 1233[0:MRR:245.1,1228.0] || hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,u),bot_bot_bool))* -> .
% 90.59/90.81 1236[0:MRR:394.2,1228.0] hBOOL(u) || hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,u),bot_bot_bool))* -> .
% 90.59/90.81 1368[0:Rew:1224.0,1036.1] || -> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(u),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(v,w,x))))* hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(v,skf163(v,y,z,x1)),skf162(v,y,z,x1)))*.
% 90.59/90.81 1377[0:Rew:1224.0,1049.0] || hBOOL(hAPP_f540970102l_bool(u,hAPP_H1190454433a_bool(fequal879838495iple_a,skf300(u))))* hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,v))* -> hBOOL(hAPP_f540970102l_bool(u,v))* hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,skf301(u))) equal(v,bot_bo1181479936a_bool).
% 90.59/90.81 1431[0:Rew:1224.0,1158.0] || hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))))* -> .
% 90.59/90.81 1477[0:Res:593.2,1431.0] || hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(u),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))))* hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),u)) -> .
% 90.59/90.81 1479[0:Res:1368.1,1431.0] || -> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),skf163(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),u,v,w)),skf162(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),u,v,w)))*.
% 90.59/90.81 1493[0:Res:1377.3,1431.0] || hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))))* hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_H1190454433a_bool(fequal879838495iple_a,skf300(hoare_606018542rivs_a(g))))) -> hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,skf301(hoare_606018542rivs_a(g)))) equal(hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool).
% 93.30/93.52 1497[0:Res:784.3,1431.0] || hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),bot_bo1181479936a_bool)) hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))))* -> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),skf285(hoare_606018542rivs_a(g)))).
% 93.30/93.52 1515[0:Rew:164.0,1479.0] || -> hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),skf162(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),u,v,w)))*.
% 93.30/93.52 1517[0:MRR:1497.0,36.0] || hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))))* -> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),skf285(hoare_606018542rivs_a(g)))).
% 93.30/93.52 1524[1:Spt:1493.3] || -> equal(hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)**.
% 93.30/93.52 1529[1:Rew:1524.0,1517.0] || hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,bot_bo1181479936a_bool)) -> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),skf285(hoare_606018542rivs_a(g))))*.
% 93.30/93.52 1530[1:Rew:1524.0,1477.0] || hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(u),bot_bo1181479936a_bool))* hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),u))* -> .
% 93.30/93.52 1532[1:MRR:1529.0,35.0] || -> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),skf285(hoare_606018542rivs_a(g))))*.
% 93.30/93.52 1533[1:MRR:1530.0,36.0] || hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),u))* -> .
% 93.30/93.52 1534[1:UnC:1533.0,1532.0] || -> .
% 93.30/93.52 1537[1:Spt:1534.0,1493.3,1524.0] || equal(hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)** -> .
% 93.30/93.52 1538[1:Spt:1534.0,1493.0,1493.1,1493.2] || hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))))* hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_H1190454433a_bool(fequal879838495iple_a,skf300(hoare_606018542rivs_a(g))))) -> hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,skf301(hoare_606018542rivs_a(g)))).
% 93.30/93.52 1718[0:EmS:251.0,7.0] || -> equal(finite1956789438t_bool(u),fFalse) equal(finite1956789438t_bool(u),fTrue)**.
% 93.30/93.52 1719[0:EmS:251.0,1.0] || -> equal(fFalse,bot_bot_bool) equal(fTrue,bot_bot_bool)**.
% 93.30/93.52 1722[2:Spt:1719.0] || -> equal(fFalse,bot_bot_bool)**.
% 93.30/93.52 1747[2:Rew:1722.0,1515.0] || -> hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool),skf162(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),u,v,w)))*.
% 93.30/93.52 1828[0:Res:1229.0,236.0] || -> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,u),v))* SkP2(v).
% 93.30/93.52 1831[0:Res:1828.0,237.0] || -> SkP2(bot_bot_bool)* hBOOL(u)*.
% 93.30/93.52 1832[3:Spt:1831.1] || -> hBOOL(u)*.
% 93.30/93.52 1833[3:UnC:1832.0,1233.0] || -> .
% 93.30/93.52 1834[3:Spt:1833.0,1831.0] || -> SkP2(bot_bot_bool)*.
% 93.30/93.52 1876[0:Res:80.0,1236.1] hBOOL(bot_bot_bool) || -> .
% 93.30/93.52 54746[2:SpR:320.1,1747.0] is_bool(bot_bot_bool) || -> hBOOL(bot_bot_bool)*.
% 93.30/93.52 54747[3:SSi:54746.0,1.0,1834.0] || -> hBOOL(bot_bot_bool)*.
% 93.30/93.52 54748[3:MRR:54747.0,1876.0] || -> .
% 93.30/93.52 54749[2:Spt:54748.0,1719.0,1722.0] || equal(fFalse,bot_bot_bool)** -> .
% 93.30/93.52 54750[2:Spt:54748.0,1719.1] || -> equal(fTrue,bot_bot_bool)**.
% 93.30/93.52 54754[2:Rew:54750.0,1718.1] || -> equal(finite1956789438t_bool(u),fFalse)** equal(finite1956789438t_bool(u),bot_bot_bool).
% 93.30/93.52 55569[2:SpR:54754.0,423.0] || -> equal(finite1956789438t_bool(hAPP_f10625010t_bool(hAPP_f1115950719t_bool(cOMBB_1654519265ol_nat,hAPP_f1311642927t_bool(cOMBC_646315179t_bool,minus_2067140911t_bool)),hAPP_f1570313510t_bool(hAPP_f688831301t_bool(cOMBC_178881787t_bool,insert_nat),bot_bot_fun_nat_bool))),bot_bot_bool)** hBOOL(fFalse).
% 93.30/93.52 55573[2:MRR:55569.1,15.0] || -> equal(finite1956789438t_bool(hAPP_f10625010t_bool(hAPP_f1115950719t_bool(cOMBB_1654519265ol_nat,hAPP_f1311642927t_bool(cOMBC_646315179t_bool,minus_2067140911t_bool)),hAPP_f1570313510t_bool(hAPP_f688831301t_bool(cOMBC_178881787t_bool,insert_nat),bot_bot_fun_nat_bool))),bot_bot_bool)**.
% 93.30/93.52 55574[2:Rew:55573.0,423.0] || -> hBOOL(bot_bot_bool)*.
% 93.30/93.52 55575[2:MRR:55574.0,1876.0] || -> .
% 93.30/93.52 % SZS output end Refutation
% 93.30/93.52 Formulae used in the proof : gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mt help_fFalse_1_1_U fact_232_Collect__def fact_313_finite_OemptyI fact_0_empty fact_491_sup__eq__bot__iff fact_547_bot__least fact_51_empty__iff fact_129_bot__fun__def help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U fact_495_sup__bot__right fact_690_inf__bot__right help_fFalse_1_1_T fact_27_singleton__conv2 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U fact_157_bot__empty__eq fact_557_le__bot fact_406_comp__fun__idem__remove fact_4_cut fact_333_finite__induct fact_10_escape fact_343_finite__ne__induct fact_115_insert__not__empty conj_0
% 93.30/93.52
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