TSTP Solution File: KRS263+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS263+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Sun Jul 17 03:31:00 EDT 2022
% Result : Theorem 9.53s 9.70s
% Output : Refutation 9.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS263+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 19:02:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.53/9.70
% 9.53/9.70 SPASS V 3.9
% 9.53/9.70 SPASS beiseite: Proof found.
% 9.53/9.70 % SZS status Theorem
% 9.53/9.70 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.53/9.70 SPASS derived 24535 clauses, backtracked 2588 clauses, performed 103 splits and kept 14131 clauses.
% 9.53/9.70 SPASS allocated 98609 KBytes.
% 9.53/9.70 SPASS spent 0:00:09.34 on the problem.
% 9.53/9.70 0:00:00.04 for the input.
% 9.53/9.70 0:00:00.20 for the FLOTTER CNF translation.
% 9.53/9.70 0:00:00.14 for inferences.
% 9.53/9.70 0:00:00.48 for the backtracking.
% 9.53/9.70 0:00:08.18 for the reduction.
% 9.53/9.70
% 9.53/9.70
% 9.53/9.70 Here is a proof with depth 8, length 344 :
% 9.53/9.70 % SZS output start Refutation
% 9.53/9.70 1[0:Inp] || -> model(u,skc57)*.
% 9.53/9.70 2[0:Inp] || -> model(skc59,skc58)*.
% 9.53/9.70 3[0:Inp] || -> model(skc64,skc62)*.
% 9.53/9.70 4[0:Inp] || -> model(skc64,skc63)*.
% 9.53/9.70 5[0:Inp] || -> model(skc69,skc68)*.
% 9.53/9.70 6[0:Inp] || -> model(skc70,skc67)*.
% 9.53/9.70 7[0:Inp] || -> model(skc73,skc74)*.
% 9.53/9.70 8[0:Inp] || -> model(skc75,skc72)*.
% 9.53/9.70 9[0:Inp] || mighta(wtc,thm)* -> .
% 9.53/9.70 10[0:Inp] || model(skc60,skc58)* -> .
% 9.53/9.70 11[0:Inp] || model(u,skc61)* -> .
% 9.53/9.70 13[0:Inp] || model(skc71,skc67)* -> .
% 9.53/9.70 14[0:Inp] || model(skc73,skc72)* -> .
% 9.53/9.70 16[0:Inp] || -> SkP0(u,v) model(v,not__dfg(u))*.
% 9.53/9.70 18[0:Inp] || -> model(u,v) model(u,not__dfg(v))*.
% 9.53/9.70 19[0:Inp] || model(u,skc68) -> model(u,skc67)*.
% 9.53/9.70 20[0:Inp] || model(u,v)*+ -> status__dfg(v,w,unp)*.
% 9.53/9.70 21[0:Inp] || -> model(skf52(u),u)* status__dfg(v,u,unp)*.
% 9.53/9.70 23[0:Inp] || model(u,v)*+ -> status__dfg(w,v,sap)*.
% 9.53/9.70 24[0:Inp] || status__dfg(u,v,tac)*+ -> model(w,v)*.
% 9.53/9.70 25[0:Inp] || status__dfg(u,v,tau)*+ -> model(w,u)*.
% 9.53/9.70 26[0:Inp] || status__dfg(u,v,tau)*+ -> model(w,v)*.
% 9.53/9.70 27[0:Inp] || status__dfg(u,v,wtc)*+ -> model(w,v)*.
% 9.53/9.70 28[0:Inp] || -> model(skf81(u),u)* status__dfg(u,v,cax)*.
% 9.53/9.70 29[0:Inp] || status__dfg(u,v,tca)*+ -> model(w,v)*.
% 9.53/9.70 30[0:Inp] || status__dfg(u,v,uns)*+ -> model(w,u)*.
% 9.53/9.70 32[0:Inp] || -> model(skf61(u,v),v)* status__dfg(v,u,thm).
% 9.53/9.70 33[0:Inp] || status__dfg(u,v,eqv)*+ -> model(skf63(u),u)*.
% 9.53/9.70 34[0:Inp] || status__dfg(u,v,tac)*+ -> model(skf65(u),u)*.
% 9.53/9.70 39[0:Inp] || model(u,v)* status__dfg(v,w,cax)*+ -> .
% 9.53/9.70 41[0:Inp] || status__dfg(u,v,sca)*+ -> model(skf83(v),v)*.
% 9.53/9.70 44[0:Inp] || status__dfg(u,v,wca)*+ -> model(skf87(v),v)*.
% 9.53/9.70 46[0:Inp] || SkP0(u,v) model(v,not__dfg(u))* -> .
% 9.53/9.70 47[0:Inp] || model(u,v) model(u,not__dfg(v))* -> .
% 9.53/9.70 50[0:Inp] || model(skf61(u,v),u)*+ -> status__dfg(w,u,thm)*.
% 9.53/9.70 56[0:Inp] || model(skf88(u),u)*+ status__dfg(v,u,wca)* -> .
% 9.53/9.70 67[0:Inp] || -> nevera(u,v)* status__dfg(skf101(v,w),skf100(v,w),v)*.
% 9.53/9.70 69[0:Inp] || model(u,v)*+ model(w,x)* -> status__dfg(x,v,esa)*.
% 9.53/9.70 70[0:Inp] || model(u,v)*+ model(u,w)* -> status__dfg(w,v,sat)*.
% 9.53/9.70 71[0:Inp] || model(u,v)* status__dfg(v,w,thm)*+ -> model(u,w)*.
% 9.53/9.70 72[0:Inp] || model(u,v)* status__dfg(v,w,eqv)*+ -> model(u,w)*.
% 9.53/9.70 73[0:Inp] || model(u,v)* status__dfg(w,v,eqv)*+ -> model(u,w)*.
% 9.53/9.70 76[0:Inp] || model(u,v)* status__dfg(w,v,eth)*+ -> model(u,w)*.
% 9.53/9.70 78[0:Inp] || model(u,v)*+ -> model(skf82(w),w)* status__dfg(w,v,sca)*.
% 9.53/9.70 81[0:Inp] || status__dfg(skf97(u,v),skf96(u,v),u)*+ -> isa(w,u)*.
% 9.53/9.70 82[0:Inp] || status__dfg(u,v,w)*+ -> nota(w,x)* status__dfg(u,v,x)*.
% 9.53/9.70 85[0:Inp] || model(u,v)* status__dfg(w,v,unp)*+ -> model(skf53(w),w)*.
% 9.53/9.70 86[0:Inp] || model(u,v)* status__dfg(v,w,sap)*+ -> model(skf55(w),w)*.
% 9.53/9.70 87[0:Inp] || model(u,v)* status__dfg(v,w,esa)*+ -> model(skf58(w),w)*.
% 9.53/9.70 88[0:Inp] || model(u,v)* status__dfg(w,v,esa)*+ -> model(skf59(w),w)*.
% 9.53/9.70 89[0:Inp] || model(u,v)* model(skf64(w),w)*+ -> status__dfg(v,w,tac)*.
% 9.53/9.70 92[0:Inp] || status__dfg(u,v,w)*+ status__dfg(u,v,x)* -> mighta(x,w)*.
% 9.53/9.70 93[0:Inp] || isa(u,v)* status__dfg(w,x,u)*+ -> status__dfg(w,x,v)*.
% 9.53/9.70 94[0:Inp] || nota(u,v)* status__dfg(skf99(v,w),skf98(v,w),v)*+ -> .
% 9.53/9.70 96[0:Inp] || nevera(u,v)* status__dfg(w,x,v)*+ status__dfg(w,x,u)* -> .
% 9.53/9.70 98[0:Inp] || model(u,v)*+ -> model(w,v)* model(skf86(x),x)* status__dfg(x,v,wca)*.
% 9.53/9.70 101[0:Inp] || model(u,v)* model(skf74(w),w)*+ -> model(x,v)* status__dfg(v,w,wtc)*.
% 9.53/9.70 112[0:Res:92.2,9.0] || status__dfg(u,v,thm) status__dfg(u,v,wtc)* -> .
% 9.53/9.70 113[0:Res:19.1,13.0] || model(skc71,skc68)* -> .
% 9.53/9.70 115[0:Res:8.0,23.0] || -> status__dfg(u,skc72,sap)*.
% 9.53/9.70 122[0:Res:1.0,23.0] || -> status__dfg(u,skc57,sap)*.
% 9.53/9.70 129[0:Res:8.0,20.0] || -> status__dfg(skc72,u,unp)*.
% 9.53/9.70 136[0:Res:1.0,20.0] || -> status__dfg(skc57,u,unp)*.
% 9.53/9.70 138[0:Res:18.1,20.0] || -> model(u,v)* status__dfg(not__dfg(v),w,unp)*.
% 9.53/9.70 157[0:Res:28.0,46.1] || SkP0(u,skf81(not__dfg(u)))*+ -> status__dfg(not__dfg(u),v,cax)*.
% 9.53/9.70 169[0:Res:28.1,39.1] || model(u,v)*+ -> model(skf81(v),v)*.
% 9.53/9.70 182[0:Res:16.1,169.0] || -> SkP0(u,v)* model(skf81(not__dfg(u)),not__dfg(u))*.
% 9.53/9.70 208[0:Res:19.1,56.0] || model(skf88(skc67),skc68) status__dfg(u,skc67,wca)* -> .
% 9.53/9.70 287[0:Res:182.1,47.1] || model(skf81(not__dfg(u)),u)*+ -> SkP0(u,v)*.
% 9.53/9.70 310[0:Res:1.0,287.0] || -> SkP0(skc57,u)*.
% 9.53/9.70 335[0:Res:19.1,50.0] || model(skf61(skc67,u),skc68)*+ -> status__dfg(v,skc67,thm)*.
% 9.53/9.70 344[0:Res:138.0,335.0] || -> status__dfg(not__dfg(skc68),u,unp)* status__dfg(v,skc67,thm)*.
% 9.53/9.70 346[0:Res:32.0,335.0] || -> status__dfg(skc68,skc67,thm)* status__dfg(u,skc67,thm)*.
% 9.53/9.70 347[0:Con:346.1] || -> status__dfg(skc68,skc67,thm)*.
% 9.53/9.70 348[1:Spt:344.1] || -> status__dfg(u,skc67,thm)*.
% 9.53/9.70 495[0:Res:67.1,112.1] || status__dfg(skf101(wtc,u),skf100(wtc,u),thm)* -> nevera(v,wtc)*.
% 9.53/9.70 497[0:Res:67.1,27.0] || -> nevera(u,wtc)* model(v,skf100(wtc,w))*.
% 9.53/9.70 500[0:Res:67.1,34.0] || -> nevera(u,tac)* model(skf65(skf101(tac,v)),skf101(tac,v))*.
% 9.53/9.70 502[0:Res:67.1,44.0] || -> nevera(u,wca)* model(skf87(skf100(wca,v)),skf100(wca,v))*.
% 9.53/9.70 503[0:Res:67.1,41.0] || -> nevera(u,sca)* model(skf83(skf100(sca,v)),skf100(sca,v))*.
% 9.53/9.70 635[0:Res:8.0,78.0] || -> model(skf82(u),u)* status__dfg(u,skc72,sca)*.
% 9.53/9.70 637[0:Res:7.0,78.0] || -> model(skf82(u),u)* status__dfg(u,skc74,sca)*.
% 9.53/9.70 638[0:Res:6.0,78.0] || -> model(skf82(u),u)* status__dfg(u,skc67,sca)*.
% 9.53/9.70 640[0:Res:5.0,78.0] || -> model(skf82(u),u)* status__dfg(u,skc68,sca)*.
% 9.53/9.70 642[0:Res:4.0,78.0] || -> model(skf82(u),u)* status__dfg(u,skc63,sca)*.
% 9.53/9.70 643[0:Res:3.0,78.0] || -> model(skf82(u),u)* status__dfg(u,skc62,sca)*.
% 9.53/9.70 644[0:Res:2.0,78.0] || -> model(skf82(u),u)* status__dfg(u,skc58,sca)*.
% 9.53/9.70 645[0:Res:1.0,78.0] || -> model(skf82(u),u)* status__dfg(u,skc57,sca)*.
% 9.53/9.70 733[0:Res:1.0,70.0] || model(u,v)*+ -> status__dfg(v,skc57,sat)*.
% 9.53/9.70 947[1:Res:348.0,71.1] || model(u,v)*+ -> model(u,skc67)*.
% 9.53/9.70 965[1:Res:18.1,947.0] || -> model(u,v)* model(u,skc67)*.
% 9.53/9.70 1005[1:Con:965.0] || -> model(u,skc67)*.
% 9.53/9.70 1006[1:UnC:1005.0,13.0] || -> .
% 9.53/9.70 1007[1:Spt:1006.0,344.0] || -> status__dfg(not__dfg(skc68),u,unp)*.
% 9.53/9.70 1030[0:Res:8.0,69.0] || model(u,v)*+ -> status__dfg(v,skc72,esa)*.
% 9.53/9.70 1040[0:Res:1.0,69.0] || model(u,v)*+ -> status__dfg(v,skc57,esa)*.
% 9.53/9.70 1162[0:Res:635.1,41.0] || -> model(skf82(u),u)* model(skf83(skc72),skc72).
% 9.53/9.70 1164[2:Spt:1162.0] || -> model(skf82(u),u)*.
% 9.53/9.70 1165[2:UnC:1164.0,11.0] || -> .
% 9.53/9.70 1166[2:Spt:1165.0,1162.1] || -> model(skf83(skc72),skc72)*.
% 9.53/9.70 1183[0:Res:637.1,41.0] || -> model(skf82(u),u)* model(skf83(skc74),skc74).
% 9.53/9.70 1231[3:Spt:1183.0] || -> model(skf82(u),u)*.
% 9.53/9.70 1232[3:UnC:1231.0,11.0] || -> .
% 9.53/9.70 1233[3:Spt:1232.0,1183.1] || -> model(skf83(skc74),skc74)*.
% 9.53/9.70 1250[0:Res:638.1,41.0] || -> model(skf82(u),u)* model(skf83(skc67),skc67).
% 9.53/9.70 1252[4:Spt:1250.0] || -> model(skf82(u),u)*.
% 9.53/9.70 1253[4:UnC:1252.0,11.0] || -> .
% 9.53/9.70 1254[4:Spt:1253.0,1250.1] || -> model(skf83(skc67),skc67)*.
% 9.53/9.70 1271[0:Res:640.1,41.0] || -> model(skf82(u),u)* model(skf83(skc68),skc68).
% 9.53/9.70 1273[5:Spt:1271.0] || -> model(skf82(u),u)*.
% 9.53/9.70 1274[5:UnC:1273.0,11.0] || -> .
% 9.53/9.70 1275[5:Spt:1274.0,1271.1] || -> model(skf83(skc68),skc68)*.
% 9.53/9.70 1292[0:Res:642.1,41.0] || -> model(skf82(u),u)* model(skf83(skc63),skc63).
% 9.53/9.70 1294[6:Spt:1292.0] || -> model(skf82(u),u)*.
% 9.53/9.70 1295[6:UnC:1294.0,11.0] || -> .
% 9.53/9.70 1296[6:Spt:1295.0,1292.1] || -> model(skf83(skc63),skc63)*.
% 9.53/9.70 1313[0:Res:643.1,41.0] || -> model(skf82(u),u)* model(skf83(skc62),skc62).
% 9.53/9.70 1328[0:Res:21.1,81.0] || -> model(skf52(skf96(unp,u)),skf96(unp,u))* isa(v,unp)*.
% 9.53/9.70 1346[7:Spt:1313.0] || -> model(skf82(u),u)*.
% 9.53/9.70 1347[7:UnC:1346.0,11.0] || -> .
% 9.53/9.70 1348[7:Spt:1347.0,1313.1] || -> model(skf83(skc62),skc62)*.
% 9.53/9.70 1365[0:Res:644.1,41.0] || -> model(skf82(u),u)* model(skf83(skc58),skc58).
% 9.53/9.70 1367[8:Spt:1365.0] || -> model(skf82(u),u)*.
% 9.53/9.70 1368[8:UnC:1367.0,11.0] || -> .
% 9.53/9.70 1369[8:Spt:1368.0,1365.1] || -> model(skf83(skc58),skc58)*.
% 9.53/9.70 1398[0:Res:8.0,733.0] || -> status__dfg(skc72,skc57,sat)*.
% 9.53/9.70 1481[0:Res:129.0,82.0] || -> nota(unp,u) status__dfg(skc72,v,u)*.
% 9.53/9.70 1488[0:Res:136.0,82.0] || -> nota(unp,u) status__dfg(skc57,v,u)*.
% 9.53/9.70 1503[0:Res:115.0,82.0] || -> nota(sap,u) status__dfg(v,skc72,u)*.
% 9.53/9.70 1510[0:Res:122.0,82.0] || -> nota(sap,u) status__dfg(v,skc57,u)*.
% 9.53/9.70 1558[0:Res:347.0,82.0] || -> nota(thm,u) status__dfg(skc68,skc67,u)*.
% 9.53/9.70 1563[0:Res:1398.0,82.0] || -> nota(sat,u) status__dfg(skc72,skc57,u)*.
% 9.53/9.70 1618[0:Res:1.0,89.1] || model(u,v)*+ -> status__dfg(v,skc57,tac)*.
% 9.53/9.70 1643[0:Res:1558.1,30.0] || -> nota(thm,uns)* model(u,skc68)*.
% 9.53/9.70 1644[0:Res:1558.1,29.0] || -> nota(thm,tca)* model(u,skc67)*.
% 9.53/9.70 1648[0:Res:1558.1,25.0] || -> nota(thm,tau)* model(u,skc68)*.
% 9.53/9.70 1651[0:Res:1558.1,24.0] || -> nota(thm,tac)* model(u,skc67)*.
% 9.53/9.70 1692[9:Spt:1643.1] || -> model(u,skc68)*.
% 9.53/9.70 1693[9:UnC:1692.0,113.0] || -> .
% 9.53/9.70 1694[9:Spt:1693.0,1643.0] || -> nota(thm,uns)*.
% 9.53/9.70 1726[10:Spt:1644.1] || -> model(u,skc67)*.
% 9.53/9.70 1727[10:UnC:1726.0,13.0] || -> .
% 9.53/9.70 1728[10:Spt:1727.0,1644.0] || -> nota(thm,tca)*.
% 9.53/9.70 1729[11:Spt:1648.1] || -> model(u,skc68)*.
% 9.53/9.70 1730[11:UnC:1729.0,113.0] || -> .
% 9.53/9.70 1731[11:Spt:1730.0,1648.0] || -> nota(thm,tau)*.
% 9.53/9.70 1732[12:Spt:1651.1] || -> model(u,skc67)*.
% 9.53/9.70 1733[12:UnC:1732.0,13.0] || -> .
% 9.53/9.70 1734[12:Spt:1733.0,1651.0] || -> nota(thm,tac)*.
% 9.53/9.70 1873[0:Res:1563.1,30.0] || -> nota(sat,uns)* model(u,skc72)*.
% 9.53/9.70 1878[0:Res:1563.1,25.0] || -> nota(sat,tau)* model(u,skc72)*.
% 9.53/9.70 1903[0:Res:1563.1,76.1] || model(u,skc57)* -> nota(sat,eth)* model(u,skc72).
% 9.53/9.70 1904[0:Res:1563.1,73.1] || model(u,skc57)* -> nota(sat,eqv)* model(u,skc72).
% 9.53/9.70 1925[0:MRR:1903.0,1.0] || -> nota(sat,eth)* model(u,skc72)*.
% 9.53/9.70 1926[0:MRR:1904.0,1.0] || -> nota(sat,eqv)* model(u,skc72)*.
% 9.53/9.70 1970[13:Spt:1873.1] || -> model(u,skc72)*.
% 9.53/9.70 1971[13:UnC:1970.0,14.0] || -> .
% 9.53/9.70 1972[13:Spt:1971.0,1873.0] || -> nota(sat,uns)*.
% 9.53/9.70 1973[14:Spt:1878.1] || -> model(u,skc72)*.
% 9.53/9.70 1974[14:UnC:1973.0,14.0] || -> .
% 9.53/9.70 1975[14:Spt:1974.0,1878.0] || -> nota(sat,tau)*.
% 9.53/9.70 2007[15:Spt:1925.1] || -> model(u,skc72)*.
% 9.53/9.70 2008[15:UnC:2007.0,14.0] || -> .
% 9.53/9.70 2009[15:Spt:2008.0,1925.0] || -> nota(sat,eth)*.
% 9.53/9.70 2010[16:Spt:1926.1] || -> model(u,skc72)*.
% 9.53/9.70 2011[16:UnC:2010.0,14.0] || -> .
% 9.53/9.70 2012[16:Spt:2011.0,1926.0] || -> nota(sat,eqv)*.
% 9.53/9.70 2023[0:Res:28.1,93.1] || isa(cax,u)+ -> model(skf81(v),v)* status__dfg(v,w,u)*.
% 9.53/9.70 2453[0:Res:635.1,96.1] || nevera(u,sca) status__dfg(v,skc72,u)* -> model(skf82(v),v)*.
% 9.53/9.70 2460[0:Res:645.1,96.1] || nevera(u,sca) status__dfg(v,skc57,u)* -> model(skf82(v),v)*.
% 9.53/9.70 2936[0:Res:1481.1,30.0] || -> nota(unp,uns)* model(u,skc72)*.
% 9.53/9.70 2940[0:Res:1481.1,27.0] || -> nota(unp,wtc)* model(u,v)*.
% 9.53/9.70 2942[0:Res:1481.1,26.0] || -> nota(unp,tau)* model(u,v)*.
% 9.53/9.70 2944[0:Res:1481.1,24.0] || -> nota(unp,tac)* model(u,v)*.
% 9.53/9.70 3003[17:Spt:2936.1] || -> model(u,skc72)*.
% 9.53/9.70 3004[17:UnC:3003.0,14.0] || -> .
% 9.53/9.70 3005[17:Spt:3004.0,2936.0] || -> nota(unp,uns)*.
% 9.53/9.70 3006[0:Res:8.0,98.0] || -> model(u,skc72)* model(skf86(v),v)* status__dfg(v,skc72,wca)*.
% 9.53/9.70 3010[0:Res:6.0,98.0] || -> model(u,skc67)* model(skf86(v),v)* status__dfg(v,skc67,wca)*.
% 9.53/9.70 3013[0:Res:5.0,98.0] || -> model(u,skc68)* model(skf86(v),v)* status__dfg(v,skc68,wca)*.
% 9.53/9.70 3022[0:Res:2.0,98.0] || -> model(u,skc58)* model(skf86(v),v)* status__dfg(v,skc58,wca)*.
% 9.53/9.70 3077[18:Spt:2940.1] || -> model(u,v)*.
% 9.53/9.70 3078[18:UnC:3077.0,11.0] || -> .
% 9.53/9.70 3079[18:Spt:3078.0,2940.0] || -> nota(unp,wtc)*.
% 9.53/9.70 3080[19:Spt:2942.1] || -> model(u,v)*.
% 9.53/9.70 3081[19:UnC:3080.0,11.0] || -> .
% 9.53/9.70 3082[19:Spt:3081.0,2942.0] || -> nota(unp,tau)*.
% 9.53/9.70 3083[20:Spt:2944.1] || -> model(u,v)*.
% 9.53/9.70 3084[20:UnC:3083.0,11.0] || -> .
% 9.53/9.70 3085[20:Spt:3084.0,2944.0] || -> nota(unp,tac)*.
% 9.53/9.70 3134[0:Res:1.0,101.1] || model(u,v)*+ -> model(w,v)* status__dfg(v,skc57,wtc)*.
% 9.53/9.70 3647[0:Res:1488.1,71.1] || model(u,skc57)* -> nota(unp,thm)* model(u,v)*.
% 9.53/9.70 3648[0:Res:1488.1,87.1] || model(u,skc57)* -> nota(unp,esa) model(skf58(v),v)*.
% 9.53/9.70 3649[0:Res:1488.1,86.1] || model(u,skc57)* -> nota(unp,sap) model(skf55(v),v)*.
% 9.53/9.70 3671[0:MRR:3647.0,1.0] || -> nota(unp,thm)* model(u,v)*.
% 9.53/9.70 3672[0:MRR:3648.0,1.0] || -> nota(unp,esa) model(skf58(u),u)*.
% 9.53/9.70 3673[0:MRR:3649.0,1.0] || -> nota(unp,sap) model(skf55(u),u)*.
% 9.53/9.70 3745[21:Spt:3671.1] || -> model(u,v)*.
% 9.53/9.70 3746[21:UnC:3745.0,11.0] || -> .
% 9.53/9.70 3747[21:Spt:3746.0,3671.0] || -> nota(unp,thm)*.
% 9.53/9.70 3748[22:Spt:3672.1] || -> model(skf58(u),u)*.
% 9.53/9.70 3749[22:UnC:3748.0,11.0] || -> .
% 9.53/9.70 3750[22:Spt:3749.0,3672.0] || -> nota(unp,esa)*.
% 9.53/9.70 3751[23:Spt:3673.1] || -> model(skf55(u),u)*.
% 9.53/9.70 3752[23:UnC:3751.0,11.0] || -> .
% 9.53/9.70 3753[23:Spt:3752.0,3673.0] || -> nota(unp,sap)*.
% 9.53/9.70 3755[0:Res:1503.1,30.0] || -> nota(sap,uns)* model(u,v)*.
% 9.53/9.70 3760[0:Res:1503.1,25.0] || -> nota(sap,tau)* model(u,v)*.
% 9.53/9.70 3763[0:Res:1503.1,24.0] || -> nota(sap,tac)* model(u,skc72)*.
% 9.53/9.70 3775[0:Res:1503.1,33.0] || -> nota(sap,eqv) model(skf63(u),u)*.
% 9.53/9.70 3942[24:Spt:3763.1] || -> model(u,skc72)*.
% 9.53/9.70 3943[24:UnC:3942.0,14.0] || -> .
% 9.53/9.70 3944[24:Spt:3943.0,3763.0] || -> nota(sap,tac)*.
% 9.53/9.70 3945[25:Spt:3755.1] || -> model(u,v)*.
% 9.53/9.70 3946[25:UnC:3945.0,11.0] || -> .
% 9.53/9.70 3947[25:Spt:3946.0,3755.0] || -> nota(sap,uns)*.
% 9.53/9.70 3948[26:Spt:3760.1] || -> model(u,v)*.
% 9.53/9.70 3949[26:UnC:3948.0,11.0] || -> .
% 9.53/9.70 3950[26:Spt:3949.0,3760.0] || -> nota(sap,tau)*.
% 9.53/9.70 3980[27:Spt:3775.1] || -> model(skf63(u),u)*.
% 9.53/9.70 3981[27:UnC:3980.0,11.0] || -> .
% 9.53/9.70 3982[27:Spt:3981.0,3775.0] || -> nota(sap,eqv)*.
% 9.53/9.70 4627[0:Res:1510.1,88.1] || model(u,skc57)* -> nota(sap,esa) model(skf59(v),v)*.
% 9.53/9.70 4628[0:Res:1510.1,85.1] || model(u,skc57)* -> nota(sap,unp) model(skf53(v),v)*.
% 9.53/9.70 4662[0:MRR:4627.0,1.0] || -> nota(sap,esa) model(skf59(u),u)*.
% 9.53/9.70 4663[0:MRR:4628.0,1.0] || -> nota(sap,unp) model(skf53(u),u)*.
% 9.53/9.70 4735[28:Spt:4662.1] || -> model(skf59(u),u)*.
% 9.53/9.70 4736[28:UnC:4735.0,11.0] || -> .
% 9.53/9.70 4737[28:Spt:4736.0,4662.0] || -> nota(sap,esa)*.
% 9.53/9.70 4738[29:Spt:4663.1] || -> model(skf53(u),u)*.
% 9.53/9.70 4739[29:UnC:4738.0,11.0] || -> .
% 9.53/9.70 4740[29:Spt:4739.0,4663.0] || -> nota(sap,unp)*.
% 9.53/9.70 4995[30:Spt:497.1] || -> model(u,skf100(wtc,v))*.
% 9.53/9.70 5013[30:Res:4995.0,50.0] || -> status__dfg(u,skf100(wtc,v),thm)*.
% 9.53/9.70 5026[30:MRR:495.0,5013.0] || -> nevera(u,wtc)*.
% 9.53/9.70 5042[0:Res:8.0,1030.0] || -> status__dfg(skc72,skc72,esa)*.
% 9.53/9.70 5045[0:Res:7.0,1030.0] || -> status__dfg(skc74,skc72,esa)*.
% 9.53/9.70 5055[0:Res:1.0,1030.0] || -> status__dfg(skc57,skc72,esa)*.
% 9.53/9.70 5115[0:Res:5042.0,82.0] || -> nota(esa,u) status__dfg(skc72,skc72,u)*.
% 9.53/9.70 5122[0:Res:5045.0,82.0] || -> nota(esa,u) status__dfg(skc74,skc72,u)*.
% 9.53/9.70 5234[0:Res:5055.0,82.0] || -> nota(esa,u) status__dfg(skc57,skc72,u)*.
% 9.53/9.70 5744[0:Res:8.0,1040.0] || -> status__dfg(skc72,skc57,esa)*.
% 9.53/9.70 5749[0:Res:6.0,1040.0] || -> status__dfg(skc67,skc57,esa)*.
% 9.53/9.70 5765[30:Res:4995.0,1040.0] || -> status__dfg(skf100(wtc,u),skc57,esa)*.
% 9.53/9.70 5939[30:Res:4995.0,1618.0] || -> status__dfg(skf100(wtc,u),skc57,tac)*.
% 9.53/9.70 7817[30:Res:5939.0,96.1] || nevera(u,tac) status__dfg(skf100(wtc,v),skc57,u)* -> .
% 9.53/9.70 8248[0:Res:5115.1,30.0] || -> nota(esa,uns)* model(u,skc72)*.
% 9.53/9.70 8253[0:Res:5115.1,25.0] || -> nota(esa,tau)* model(u,skc72)*.
% 9.53/9.70 8256[0:Res:5115.1,24.0] || -> nota(esa,tac)* model(u,skc72)*.
% 9.53/9.70 8334[31:Spt:8248.1] || -> model(u,skc72)*.
% 9.53/9.70 8335[31:UnC:8334.0,14.0] || -> .
% 9.53/9.70 8336[31:Spt:8335.0,8248.0] || -> nota(esa,uns)*.
% 9.53/9.70 8364[32:Spt:8253.1] || -> model(u,skc72)*.
% 9.53/9.70 8365[32:UnC:8364.0,14.0] || -> .
% 9.53/9.70 8366[32:Spt:8365.0,8253.0] || -> nota(esa,tau)*.
% 9.53/9.70 8367[33:Spt:8256.1] || -> model(u,skc72)*.
% 9.53/9.70 8368[33:UnC:8367.0,14.0] || -> .
% 9.53/9.70 8369[33:Spt:8368.0,8256.0] || -> nota(esa,tac)*.
% 9.53/9.70 8531[0:Res:5122.1,26.0] || -> nota(esa,tau)* model(u,skc72)*.
% 9.53/9.70 8533[0:Res:5122.1,24.0] || -> nota(esa,tac)* model(u,skc72)*.
% 9.53/9.70 8954[0:Res:5234.1,72.1] || model(u,skc57)* -> nota(esa,eqv)* model(u,skc72).
% 9.53/9.70 8955[0:Res:5234.1,71.1] || model(u,skc57)* -> nota(esa,thm)* model(u,skc72).
% 9.53/9.70 8971[0:MRR:8955.0,1.0] || -> nota(esa,thm)* model(u,skc72)*.
% 9.53/9.70 8972[34:Spt:8971.1] || -> model(u,skc72)*.
% 9.53/9.70 8973[34:UnC:8972.0,14.0] || -> .
% 9.53/9.70 8974[34:Spt:8973.0,8971.0] || -> nota(esa,thm)*.
% 9.53/9.70 12186[35:Spt:500.0] || -> nevera(u,tac)*.
% 9.53/9.70 12197[35:MRR:7817.0,12186.0] || status__dfg(skf100(wtc,u),skc57,v)* -> .
% 9.53/9.70 12208[35:UnC:12197.0,5765.0] || -> .
% 9.53/9.70 12209[35:Spt:12208.0,500.1] || -> model(skf65(skf101(tac,u)),skf101(tac,u))*.
% 9.53/9.70 12302[36:Spt:502.0] || -> nevera(u,wca)*.
% 9.53/9.70 12330[37:Spt:503.0] || -> nevera(u,sca)*.
% 9.53/9.70 12338[37:MRR:2460.0,12330.0] || status__dfg(u,skc57,v)* -> model(skf82(u),u)*.
% 9.53/9.70 12356[37:MRR:645.1,12338.0] || -> model(skf82(u),u)*.
% 9.53/9.70 12357[37:UnC:12356.0,11.0] || -> .
% 9.53/9.70 12358[37:Spt:12357.0,503.1] || -> model(skf83(skf100(sca,u)),skf100(sca,u))*.
% 9.53/9.70 13278[0:Res:310.0,157.0] || -> status__dfg(not__dfg(skc57),u,cax)*.
% 9.53/9.70 13279[0:Res:13278.0,39.1] || model(u,not__dfg(skc57))* -> .
% 9.65/9.83 13887[38:Spt:3006.0] || -> model(u,skc72)*.
% 9.65/9.83 13888[38:UnC:13887.0,14.0] || -> .
% 9.65/9.83 13889[38:Spt:13888.0,3006.1,3006.2] || -> model(skf86(u),u)* status__dfg(u,skc72,wca)*.
% 9.65/9.83 13942[38:Res:13889.1,96.1] || nevera(u,wca) status__dfg(v,skc72,u)* -> model(skf86(v),v)*.
% 9.65/9.83 13943[38:MRR:13942.0,12302.0] || status__dfg(u,skc72,v)* -> model(skf86(u),u)*.
% 9.65/9.83 13944[38:MRR:13889.1,13943.0] || -> model(skf86(u),u)*.
% 9.65/9.83 13947[38:UnC:13944.0,13279.0] || -> .
% 9.65/9.83 13949[36:Spt:13947.0,502.1] || -> model(skf87(skf100(wca,u)),skf100(wca,u))*.
% 9.65/9.83 14266[37:Spt:503.0] || -> nevera(u,sca)*.
% 9.65/9.83 14274[37:MRR:2453.0,14266.0] || status__dfg(u,skc72,v)* -> model(skf82(u),u)*.
% 9.65/9.83 14308[37:MRR:635.1,14274.0] || -> model(skf82(u),u)*.
% 9.65/9.83 14309[37:UnC:14308.0,13279.0] || -> .
% 9.65/9.83 14310[37:Spt:14309.0,503.1] || -> model(skf83(skf100(sca,u)),skf100(sca,u))*.
% 9.65/9.83 15114[38:Spt:3010.0] || -> model(u,skc67)*.
% 9.65/9.83 15115[38:UnC:15114.0,13.0] || -> .
% 9.65/9.83 15116[38:Spt:15115.0,3010.1,3010.2] || -> model(skf86(u),u)* status__dfg(u,skc67,wca)*.
% 9.65/9.83 15142[38:Res:15116.0,13279.0] || -> status__dfg(not__dfg(skc57),skc67,wca)*.
% 9.65/9.83 15174[38:Res:15142.0,208.1] || model(skf88(skc67),skc68)* -> .
% 9.65/9.83 15208[39:Spt:3013.0] || -> model(u,skc68)*.
% 9.65/9.83 15209[39:UnC:15208.0,15174.0] || -> .
% 9.65/9.83 15210[39:Spt:15209.0,3013.1,3013.2] || -> model(skf86(u),u)* status__dfg(u,skc68,wca)*.
% 9.65/9.83 15498[40:Spt:3022.0] || -> model(u,skc58)*.
% 9.65/9.83 15499[40:UnC:15498.0,10.0] || -> .
% 9.65/9.83 15500[40:Spt:15499.0,3022.1,3022.2] || -> model(skf86(u),u)* status__dfg(u,skc58,wca)*.
% 9.65/9.83 15620[41:Spt:3006.0] || -> model(u,skc72)*.
% 9.65/9.83 15621[41:UnC:15620.0,14.0] || -> .
% 9.65/9.83 15622[41:Spt:15621.0,3006.1,3006.2] || -> model(skf86(u),u)* status__dfg(u,skc72,wca)*.
% 9.65/9.83 15910[0:Res:8.0,3134.0] || -> model(u,skc72)* status__dfg(skc72,skc57,wtc)*.
% 9.65/9.83 15916[0:Res:6.0,3134.0] || -> model(u,skc67)* status__dfg(skc67,skc57,wtc)*.
% 9.65/9.83 17972[42:Spt:15910.0] || -> model(u,skc72)*.
% 9.65/9.83 17973[42:UnC:17972.0,14.0] || -> .
% 9.65/9.83 17974[42:Spt:17973.0,15910.1] || -> status__dfg(skc72,skc57,wtc)*.
% 9.65/9.83 17982[42:Res:17974.0,96.1] || nevera(u,wtc) status__dfg(skc72,skc57,u)* -> .
% 9.65/9.83 17988[42:MRR:17982.0,5026.0] || status__dfg(skc72,skc57,u)* -> .
% 9.65/9.83 17989[42:UnC:17988.0,5744.0] || -> .
% 9.65/9.83 17990[30:Spt:17989.0,497.0] || -> nevera(u,wtc)*.
% 9.65/9.83 17998[0:MRR:8954.0,1.0] || -> nota(esa,eqv)* model(u,skc72)*.
% 9.65/9.83 18398[31:Spt:8971.1] || -> model(u,skc72)*.
% 9.65/9.83 18399[31:UnC:18398.0,14.0] || -> .
% 9.65/9.83 18400[31:Spt:18399.0,8971.0] || -> nota(esa,thm)*.
% 9.65/9.83 18401[32:Spt:8533.1] || -> model(u,skc72)*.
% 9.65/9.83 18402[32:UnC:18401.0,14.0] || -> .
% 9.65/9.83 18403[32:Spt:18402.0,8533.0] || -> nota(esa,tac)*.
% 9.65/9.83 18511[33:Spt:503.0] || -> nevera(u,sca)*.
% 9.65/9.83 18527[33:MRR:2460.0,18511.0] || status__dfg(u,skc57,v)* -> model(skf82(u),u)*.
% 9.65/9.83 18554[33:MRR:645.1,18527.0] || -> model(skf82(u),u)*.
% 9.65/9.83 18555[33:UnC:18554.0,13279.0] || -> .
% 9.65/9.83 18556[33:Spt:18555.0,503.1] || -> model(skf83(skf100(sca,u)),skf100(sca,u))*.
% 9.65/9.83 19086[34:Spt:8531.1] || -> model(u,skc72)*.
% 9.65/9.83 19087[34:UnC:19086.0,14.0] || -> .
% 9.65/9.83 19088[34:Spt:19087.0,8531.0] || -> nota(esa,tau)*.
% 9.65/9.83 19154[35:Spt:17998.1] || -> model(u,skc72)*.
% 9.65/9.83 19155[35:UnC:19154.0,14.0] || -> .
% 9.65/9.83 19156[35:Spt:19155.0,17998.0] || -> nota(esa,eqv)*.
% 9.65/9.83 19601[36:Spt:1328.1] || -> isa(u,unp)*.
% 9.65/9.83 24001[36:Res:19601.0,2023.0] || -> model(skf81(u),u)* status__dfg(u,v,unp)*.
% 9.65/9.83 24002[36:MRR:24001.0,20.0] || -> status__dfg(u,v,unp)*.
% 9.65/9.83 24073[36:Res:24002.0,94.1] || nota(u,unp)* -> .
% 9.65/9.83 24075[36:UnC:24073.0,4740.0] || -> .
% 9.65/9.83 24076[36:Spt:24075.0,1328.0] || -> model(skf52(skf96(unp,u)),skf96(unp,u))*.
% 9.65/9.83 25051[37:Spt:15916.0] || -> model(u,skc67)*.
% 9.65/9.83 25052[37:UnC:25051.0,13.0] || -> .
% 9.65/9.83 25053[37:Spt:25052.0,15916.1] || -> status__dfg(skc67,skc57,wtc)*.
% 9.65/9.83 25062[37:Res:25053.0,96.1] || nevera(u,wtc) status__dfg(skc67,skc57,u)* -> .
% 9.65/9.83 25068[37:MRR:25062.0,17990.0] || status__dfg(skc67,skc57,u)* -> .
% 9.65/9.83 25069[37:UnC:25068.0,5749.0] || -> .
% 9.65/9.83 % SZS output end Refutation
% 9.65/9.83 Formulae used in the proof : tautology satisfiable__dfg sat_non_taut_pair mixed_pair non_thm_spt mighta_wtc_thm contradiction completeness not__dfg unp sap tac tau wtc cax tca uns thm eqv sca wca nevera esa sat eth isa nota mighta
% 9.65/9.83
%------------------------------------------------------------------------------