TSTP Solution File: SEV011^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV011^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n003.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 : Tue Jul 19 18:04:26 EDT 2022
% Result : Theorem 151.73s 151.82s
% Output : Proof 151.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV011^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n003.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 : Tue Jun 28 16:16:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 151.73/151.82 % SZS status Theorem
% 151.73/151.82 % Mode: mode446
% 151.73/151.82 % Inferences: 29732
% 151.73/151.82 % SZS output start Proof
% 151.73/151.82 thf(cTHM260_B_pme,conjecture,(![X1:a>a>$o]:((~(((~(((![X2:a]:((X1 @ X2) @ X2)) => (~((![X2:a]:(![X3:a]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))))) => (~((![X2:a]:(![X3:a]:(![X4:a]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))))) => (![X2:a]:(~((![X3:a>$o]:((~(((![X4:a]:((X3 @ X4) => (![X5:a]:((X3 @ X5) = ((X1 @ X4) @ X5))))) => (~((X3 @ X2)))))) => (~((![X4:a>$o]:((~(((![X5:a]:((X4 @ X5) => (![X6:a]:((X4 @ X6) = ((X1 @ X5) @ X6))))) => (~((X4 @ X2)))))) => (X4 = X3))))))))))))).
% 151.73/151.82 thf(h0,negated_conjecture,(~((![X1:a>a>$o]:((~(((~(((![X2:a]:((X1 @ X2) @ X2)) => (~((![X2:a]:(![X3:a]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))))) => (~((![X2:a]:(![X3:a]:(![X4:a]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))))) => (![X2:a]:(~((![X3:a>$o]:((~(((![X4:a]:((X3 @ X4) => (![X5:a]:((X3 @ X5) = ((X1 @ X4) @ X5))))) => (~((X3 @ X2)))))) => (~((![X4:a>$o]:((~(((![X5:a]:((X4 @ X5) => (![X6:a]:((X4 @ X6) = ((X1 @ X5) @ X6))))) => (~((X4 @ X2)))))) => (X4 = X3)))))))))))))),inference(assume_negation,[status(cth)],[cTHM260_B_pme])).
% 151.73/151.82 thf(ax2389, axiom, (p1|~(p2)), file('<stdin>', ax2389)).
% 151.73/151.82 thf(ax2390, axiom, ~(p1), file('<stdin>', ax2390)).
% 151.73/151.82 thf(ax2388, axiom, (p2|~(p3)), file('<stdin>', ax2388)).
% 151.73/151.82 thf(ax2387, axiom, (p2|~(p4)), file('<stdin>', ax2387)).
% 151.73/151.82 thf(nax3, axiom, (p3<=(~((![X1:a]:f__0 @ X1 @ X1=>~(![X1:a, X2:a]:(f__0 @ X1 @ X2=>f__0 @ X2 @ X1))))=>~(![X1:a, X2:a, X3:a]:(~((f__0 @ X1 @ X2=>~(f__0 @ X2 @ X3)))=>f__0 @ X1 @ X3)))), file('<stdin>', nax3)).
% 151.73/151.82 thf(nax14, axiom, (p14<=f__0 @ f__1 @ f__1), file('<stdin>', nax14)).
% 151.73/151.82 thf(ax2370, axiom, (~(p5)|p21), file('<stdin>', ax2370)).
% 151.73/151.82 thf(ax2386, axiom, (p4|p5), file('<stdin>', ax2386)).
% 151.73/151.82 thf(ax2331, axiom, (~(p57)|~(p59)|~(p14)), file('<stdin>', ax2331)).
% 151.73/151.82 thf(ax2332, axiom, (~(p21)|p57|~(p58)), file('<stdin>', ax2332)).
% 151.73/151.82 thf(ax2324, axiom, (p59|~(p67)), file('<stdin>', ax2324)).
% 151.73/151.82 thf(ax2385, axiom, (p3|~(p6)), file('<stdin>', ax2385)).
% 151.73/151.82 thf(ax2327, axiom, (p58|~(p64)), file('<stdin>', ax2327)).
% 151.73/151.82 thf(ax2296, axiom, (p64|~(p92)), file('<stdin>', ax2296)).
% 151.73/151.82 thf(ax2295, axiom, (p64|~(p93)), file('<stdin>', ax2295)).
% 151.73/151.82 thf(ax2374, axiom, (~(p9)|p17), file('<stdin>', ax2374)).
% 151.73/151.82 thf(ax2382, axiom, (p6|p9), file('<stdin>', ax2382)).
% 151.73/151.82 thf(ax2239, axiom, (~(p17)|p147), file('<stdin>', ax2239)).
% 151.73/151.82 thf(ax1615, axiom, (~(p106)|~(p103)|p101), file('<stdin>', ax1615)).
% 151.73/151.82 thf(ax2281, axiom, (~(p102)|p106), file('<stdin>', ax2281)).
% 151.73/151.82 thf(ax2247, axiom, (p67|p139), file('<stdin>', ax2247)).
% 151.73/151.82 thf(ax2286, axiom, (p93|~(p101)), file('<stdin>', ax2286)).
% 151.73/151.82 thf(ax1230, axiom, (~(p147)|~(p139)|p919), file('<stdin>', ax1230)).
% 151.73/151.82 thf(ax2284, axiom, (p92|p103), file('<stdin>', ax2284)).
% 151.73/151.82 thf(ax2285, axiom, (p92|p102), file('<stdin>', ax2285)).
% 151.73/151.82 thf(ax2246, axiom, (p67|~(p140)), file('<stdin>', ax2246)).
% 151.73/151.82 thf(ax2185, axiom, (p140|~(p199)), file('<stdin>', ax2185)).
% 151.73/151.82 thf(pax7, axiom, (p7=>![X1:a, X2:a, X3:a]:(~((f__0 @ X1 @ X2=>~(f__0 @ X2 @ X3)))=>f__0 @ X1 @ X3)), file('<stdin>', pax7)).
% 151.73/151.82 thf(ax2384, axiom, (p3|p7), file('<stdin>', ax2384)).
% 151.73/151.82 thf(pax919, axiom, (p919=>f__0 @ f__8 @ f__1), file('<stdin>', pax919)).
% 151.73/151.82 thf(pax344, axiom, (p344=>f__0 @ f__8 @ f__13), file('<stdin>', pax344)).
% 151.73/151.82 thf(pax139, axiom, (p139=>f__0 @ f__1 @ f__8), file('<stdin>', pax139)).
% 151.73/151.82 thf(ax2022, axiom, (p199|p343|p344), file('<stdin>', ax2022)).
% 151.73/151.82 thf(pax343, axiom, (p343=>f__0 @ f__1 @ f__13), file('<stdin>', pax343)).
% 151.73/151.82 thf(nax343, axiom, (p343<=f__0 @ f__1 @ f__13), file('<stdin>', nax343)).
% 151.73/151.82 thf(ax2021, axiom, (p199|~(p343)|~(p344)), file('<stdin>', ax2021)).
% 151.73/151.82 thf(nax344, axiom, (p344<=f__0 @ f__8 @ f__13), file('<stdin>', nax344)).
% 151.73/151.82 thf(c_0_37, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax2389])).
% 151.73/151.82 thf(c_0_38, plain, ~p1, inference(fof_simplification,[status(thm)],[ax2390])).
% 151.73/151.82 thf(c_0_39, plain, (p2|~p3), inference(fof_simplification,[status(thm)],[ax2388])).
% 151.73/151.82 thf(c_0_40, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_37])).
% 151.73/151.82 thf(c_0_41, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_38])).
% 151.73/151.82 thf(c_0_42, plain, (p2|~p4), inference(fof_simplification,[status(thm)],[ax2387])).
% 151.73/151.82 thf(c_0_43, plain, ![X374:a, X375:a, X376:a, X377:a, X378:a, X379:a]:(((f__0 @ X374 @ X374|p3)&(~f__0 @ X375 @ X376|f__0 @ X376 @ X375|p3))&(~f__0 @ X377 @ X378|~f__0 @ X378 @ X379|f__0 @ X377 @ X379|p3)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax3])])])])])).
% 151.73/151.82 thf(c_0_44, plain, (p2|~p3), inference(split_conjunct,[status(thm)],[c_0_39])).
% 151.73/151.82 thf(c_0_45, plain, ~p2, inference(sr,[status(thm)],[c_0_40, c_0_41])).
% 151.73/151.82 thf(c_0_46, plain, (p2|~p4), inference(split_conjunct,[status(thm)],[c_0_42])).
% 151.73/151.82 thf(c_0_47, plain, (~f__0 @ f__1 @ f__1|p14), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax14])])).
% 151.73/151.82 thf(c_0_48, plain, ![X1:a]:(f__0 @ X1 @ X1|p3), inference(split_conjunct,[status(thm)],[c_0_43])).
% 151.73/151.82 thf(c_0_49, plain, ~p3, inference(sr,[status(thm)],[c_0_44, c_0_45])).
% 151.73/151.82 thf(c_0_50, plain, (~p5|p21), inference(fof_simplification,[status(thm)],[ax2370])).
% 151.73/151.82 thf(c_0_51, plain, (p4|p5), inference(split_conjunct,[status(thm)],[ax2386])).
% 151.73/151.82 thf(c_0_52, plain, ~p4, inference(sr,[status(thm)],[c_0_46, c_0_45])).
% 151.73/151.82 thf(c_0_53, plain, (~p57|~p59|~p14), inference(fof_simplification,[status(thm)],[ax2331])).
% 151.73/151.82 thf(c_0_54, plain, (p14|~f__0 @ f__1 @ f__1), inference(split_conjunct,[status(thm)],[c_0_47])).
% 151.73/151.82 thf(c_0_55, plain, ![X1:a]:f__0 @ X1 @ X1, inference(sr,[status(thm)],[c_0_48, c_0_49])).
% 151.73/151.82 thf(c_0_56, plain, (~p21|p57|~p58), inference(fof_simplification,[status(thm)],[ax2332])).
% 151.73/151.82 thf(c_0_57, plain, (p21|~p5), inference(split_conjunct,[status(thm)],[c_0_50])).
% 151.73/151.82 thf(c_0_58, plain, p5, inference(sr,[status(thm)],[c_0_51, c_0_52])).
% 151.73/151.82 thf(c_0_59, plain, (~p57|~p59|~p14), inference(split_conjunct,[status(thm)],[c_0_53])).
% 151.73/151.82 thf(c_0_60, plain, p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])])).
% 151.73/151.82 thf(c_0_61, plain, (p57|~p21|~p58), inference(split_conjunct,[status(thm)],[c_0_56])).
% 151.73/151.82 thf(c_0_62, plain, p21, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58])])).
% 151.73/151.82 thf(c_0_63, plain, (~p57|~p59), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_60])])).
% 151.73/151.82 thf(c_0_64, plain, (p57|~p58), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])])).
% 151.73/151.82 thf(c_0_65, plain, (p59|~p67), inference(fof_simplification,[status(thm)],[ax2324])).
% 151.73/151.82 thf(c_0_66, plain, (p3|~p6), inference(fof_simplification,[status(thm)],[ax2385])).
% 151.73/151.82 thf(c_0_67, plain, (~p59|~p58), inference(spm,[status(thm)],[c_0_63, c_0_64])).
% 151.73/151.82 thf(c_0_68, plain, (p59|~p67), inference(split_conjunct,[status(thm)],[c_0_65])).
% 151.73/151.82 thf(c_0_69, plain, (p58|~p64), inference(fof_simplification,[status(thm)],[ax2327])).
% 151.73/151.82 thf(c_0_70, plain, (p3|~p6), inference(split_conjunct,[status(thm)],[c_0_66])).
% 151.73/151.82 thf(c_0_71, plain, (~p58|~p67), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 151.73/151.82 thf(c_0_72, plain, (p58|~p64), inference(split_conjunct,[status(thm)],[c_0_69])).
% 151.73/151.82 thf(c_0_73, plain, (p64|~p92), inference(fof_simplification,[status(thm)],[ax2296])).
% 151.73/151.82 thf(c_0_74, plain, (p64|~p93), inference(fof_simplification,[status(thm)],[ax2295])).
% 151.73/151.82 thf(c_0_75, plain, (~p9|p17), inference(fof_simplification,[status(thm)],[ax2374])).
% 151.73/151.82 thf(c_0_76, plain, (p6|p9), inference(split_conjunct,[status(thm)],[ax2382])).
% 151.73/151.82 thf(c_0_77, plain, ~p6, inference(sr,[status(thm)],[c_0_70, c_0_49])).
% 151.73/151.82 thf(c_0_78, plain, (~p67|~p64), inference(spm,[status(thm)],[c_0_71, c_0_72])).
% 151.73/151.82 thf(c_0_79, plain, (p64|~p92), inference(split_conjunct,[status(thm)],[c_0_73])).
% 151.73/151.82 thf(c_0_80, plain, (p64|~p93), inference(split_conjunct,[status(thm)],[c_0_74])).
% 151.73/151.82 thf(c_0_81, plain, (~p17|p147), inference(fof_simplification,[status(thm)],[ax2239])).
% 151.73/151.82 thf(c_0_82, plain, (p17|~p9), inference(split_conjunct,[status(thm)],[c_0_75])).
% 151.73/151.82 thf(c_0_83, plain, p9, inference(sr,[status(thm)],[c_0_76, c_0_77])).
% 151.73/151.82 thf(c_0_84, plain, (~p106|~p103|p101), inference(fof_simplification,[status(thm)],[ax1615])).
% 151.73/151.82 thf(c_0_85, plain, (~p102|p106), inference(fof_simplification,[status(thm)],[ax2281])).
% 151.73/151.82 thf(c_0_86, plain, (~p67|~p92), inference(spm,[status(thm)],[c_0_78, c_0_79])).
% 151.73/151.82 thf(c_0_87, plain, (p67|p139), inference(split_conjunct,[status(thm)],[ax2247])).
% 151.73/151.82 thf(c_0_88, plain, (~p67|~p93), inference(spm,[status(thm)],[c_0_78, c_0_80])).
% 151.73/151.82 thf(c_0_89, plain, (p93|~p101), inference(fof_simplification,[status(thm)],[ax2286])).
% 151.73/151.82 thf(c_0_90, plain, (~p147|~p139|p919), inference(fof_simplification,[status(thm)],[ax1230])).
% 151.73/151.82 thf(c_0_91, plain, (p147|~p17), inference(split_conjunct,[status(thm)],[c_0_81])).
% 151.73/151.82 thf(c_0_92, plain, p17, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_83])])).
% 151.73/151.82 thf(c_0_93, plain, (p101|~p106|~p103), inference(split_conjunct,[status(thm)],[c_0_84])).
% 151.73/151.82 thf(c_0_94, plain, (p106|~p102), inference(split_conjunct,[status(thm)],[c_0_85])).
% 151.73/151.82 thf(c_0_95, plain, (p139|~p92), inference(spm,[status(thm)],[c_0_86, c_0_87])).
% 151.73/151.82 thf(c_0_96, plain, (p92|p103), inference(split_conjunct,[status(thm)],[ax2284])).
% 151.73/151.82 thf(c_0_97, plain, (p92|p102), inference(split_conjunct,[status(thm)],[ax2285])).
% 151.73/151.82 thf(c_0_98, plain, (p139|~p93), inference(spm,[status(thm)],[c_0_88, c_0_87])).
% 151.73/151.82 thf(c_0_99, plain, (p93|~p101), inference(split_conjunct,[status(thm)],[c_0_89])).
% 151.73/151.82 thf(c_0_100, plain, (p919|~p147|~p139), inference(split_conjunct,[status(thm)],[c_0_90])).
% 151.73/151.82 thf(c_0_101, plain, p147, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91, c_0_92])])).
% 151.73/151.82 thf(c_0_102, plain, (p101|~p103|~p102), inference(spm,[status(thm)],[c_0_93, c_0_94])).
% 151.73/151.82 thf(c_0_103, plain, (p103|p139), inference(spm,[status(thm)],[c_0_95, c_0_96])).
% 151.73/151.82 thf(c_0_104, plain, (p102|p139), inference(spm,[status(thm)],[c_0_95, c_0_97])).
% 151.73/151.82 thf(c_0_105, plain, (p139|~p101), inference(spm,[status(thm)],[c_0_98, c_0_99])).
% 151.73/151.82 thf(c_0_106, plain, (p67|~p140), inference(fof_simplification,[status(thm)],[ax2246])).
% 151.73/151.82 thf(c_0_107, plain, (p140|~p199), inference(fof_simplification,[status(thm)],[ax2185])).
% 151.73/151.82 thf(c_0_108, plain, ![X356:a, X357:a, X358:a]:(~p7|(~f__0 @ X356 @ X357|~f__0 @ X357 @ X358|f__0 @ X356 @ X358)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax7])])])])).
% 151.73/151.82 thf(c_0_109, plain, (p3|p7), inference(split_conjunct,[status(thm)],[ax2384])).
% 151.73/151.82 thf(c_0_110, plain, (~p919|f__0 @ f__8 @ f__1), inference(fof_nnf,[status(thm)],[pax919])).
% 151.73/151.82 thf(c_0_111, plain, (p919|~p139), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100, c_0_101])])).
% 151.73/151.82 thf(c_0_112, plain, p139, inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_104]), c_0_105])).
% 151.73/151.82 thf(c_0_113, plain, (p67|~p140), inference(split_conjunct,[status(thm)],[c_0_106])).
% 151.73/151.82 thf(c_0_114, plain, (p140|~p199), inference(split_conjunct,[status(thm)],[c_0_107])).
% 151.73/151.82 thf(c_0_115, plain, ![X1:a, X2:a, X3:a]:(f__0 @ X1 @ X3|~p7|~f__0 @ X1 @ X2|~f__0 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_108])).
% 151.73/151.82 thf(c_0_116, plain, p7, inference(sr,[status(thm)],[c_0_109, c_0_49])).
% 151.73/151.82 thf(c_0_117, plain, (f__0 @ f__8 @ f__1|~p919), inference(split_conjunct,[status(thm)],[c_0_110])).
% 151.73/151.82 thf(c_0_118, plain, p919, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_112])])).
% 151.73/151.82 thf(c_0_119, plain, ![X1:a, X2:a]:(f__0 @ X2 @ X1|p3|~f__0 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_43])).
% 151.73/151.82 thf(c_0_120, plain, (~p344|f__0 @ f__8 @ f__13), inference(fof_nnf,[status(thm)],[pax344])).
% 151.73/151.82 thf(c_0_121, plain, (p67|~p199), inference(spm,[status(thm)],[c_0_113, c_0_114])).
% 151.73/151.82 thf(c_0_122, plain, ![X1:a, X2:a, X3:a]:(f__0 @ X1 @ X2|~f__0 @ X3 @ X2|~f__0 @ X1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115, c_0_116])])).
% 151.73/151.82 thf(c_0_123, plain, f__0 @ f__8 @ f__1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_118])])).
% 151.73/151.82 thf(c_0_124, plain, ![X2:a, X1:a]:(f__0 @ X1 @ X2|~f__0 @ X2 @ X1), inference(sr,[status(thm)],[c_0_119, c_0_49])).
% 151.73/151.82 thf(c_0_125, plain, (f__0 @ f__8 @ f__13|~p344), inference(split_conjunct,[status(thm)],[c_0_120])).
% 151.73/151.82 thf(c_0_126, plain, (~p92|~p199), inference(spm,[status(thm)],[c_0_86, c_0_121])).
% 151.73/151.82 thf(c_0_127, plain, (~p93|~p199), inference(spm,[status(thm)],[c_0_88, c_0_121])).
% 151.73/151.82 thf(c_0_128, plain, (~p139|f__0 @ f__1 @ f__8), inference(fof_nnf,[status(thm)],[pax139])).
% 151.73/151.82 thf(c_0_129, plain, ![X1:a]:(f__0 @ X1 @ f__1|~f__0 @ X1 @ f__8), inference(spm,[status(thm)],[c_0_122, c_0_123])).
% 151.73/151.82 thf(c_0_130, plain, (f__0 @ f__13 @ f__8|~p344), inference(spm,[status(thm)],[c_0_124, c_0_125])).
% 151.73/151.82 thf(c_0_131, plain, (p103|~p199), inference(spm,[status(thm)],[c_0_126, c_0_96])).
% 151.73/151.82 thf(c_0_132, plain, (p199|p343|p344), inference(split_conjunct,[status(thm)],[ax2022])).
% 151.73/151.82 thf(c_0_133, plain, (p102|~p199), inference(spm,[status(thm)],[c_0_126, c_0_97])).
% 151.73/151.82 thf(c_0_134, plain, (~p199|~p101), inference(spm,[status(thm)],[c_0_127, c_0_99])).
% 151.73/151.82 thf(c_0_135, plain, (f__0 @ f__1 @ f__8|~p139), inference(split_conjunct,[status(thm)],[c_0_128])).
% 151.73/151.82 thf(c_0_136, plain, (~p343|f__0 @ f__1 @ f__13), inference(fof_nnf,[status(thm)],[pax343])).
% 151.73/151.82 thf(c_0_137, plain, (~f__0 @ f__1 @ f__13|p343), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax343])])).
% 151.73/151.82 thf(c_0_138, plain, (f__0 @ f__13 @ f__1|~p344), inference(spm,[status(thm)],[c_0_129, c_0_130])).
% 151.73/151.82 thf(c_0_139, plain, (p344|p343|p103), inference(spm,[status(thm)],[c_0_131, c_0_132])).
% 151.73/151.82 thf(c_0_140, plain, (p344|p343|p102), inference(spm,[status(thm)],[c_0_133, c_0_132])).
% 151.73/151.82 thf(c_0_141, plain, (p344|p343|~p101), inference(spm,[status(thm)],[c_0_134, c_0_132])).
% 151.73/151.82 thf(c_0_142, plain, (p199|~p343|~p344), inference(fof_simplification,[status(thm)],[ax2021])).
% 151.73/151.82 thf(c_0_143, plain, f__0 @ f__1 @ f__8, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135, c_0_112])])).
% 151.73/151.82 thf(c_0_144, plain, (f__0 @ f__1 @ f__13|~p343), inference(split_conjunct,[status(thm)],[c_0_136])).
% 151.73/151.82 thf(c_0_145, plain, (p343|~f__0 @ f__1 @ f__13), inference(split_conjunct,[status(thm)],[c_0_137])).
% 151.73/151.82 thf(c_0_146, plain, (f__0 @ f__1 @ f__13|~p344), inference(spm,[status(thm)],[c_0_124, c_0_138])).
% 151.73/151.82 thf(c_0_147, plain, (p343|p344), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_139]), c_0_140]), c_0_141])).
% 151.73/151.82 thf(c_0_148, plain, (p199|~p343|~p344), inference(split_conjunct,[status(thm)],[c_0_142])).
% 151.73/151.82 thf(c_0_149, plain, ![X1:a]:(f__0 @ X1 @ f__8|~f__0 @ X1 @ f__1), inference(spm,[status(thm)],[c_0_122, c_0_143])).
% 151.73/151.82 thf(c_0_150, plain, (f__0 @ f__13 @ f__1|~p343), inference(spm,[status(thm)],[c_0_124, c_0_144])).
% 151.73/151.82 thf(c_0_151, plain, p343, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_146]), c_0_147])).
% 151.73/151.82 thf(c_0_152, plain, (p103|~p343|~p344), inference(spm,[status(thm)],[c_0_131, c_0_148])).
% 151.73/151.82 thf(c_0_153, plain, (p102|~p343|~p344), inference(spm,[status(thm)],[c_0_133, c_0_148])).
% 151.73/151.82 thf(c_0_154, plain, (~p101|~p343|~p344), inference(spm,[status(thm)],[c_0_134, c_0_148])).
% 151.73/151.82 thf(c_0_155, plain, (~f__0 @ f__8 @ f__13|p344), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax344])])).
% 151.73/151.82 thf(c_0_156, plain, ![X1:a]:(f__0 @ f__8 @ X1|~f__0 @ X1 @ f__1), inference(spm,[status(thm)],[c_0_124, c_0_149])).
% 151.73/151.82 thf(c_0_157, plain, f__0 @ f__13 @ f__1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150, c_0_151])])).
% 151.73/151.82 thf(c_0_158, plain, (~p343|~p344), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_152]), c_0_153]), c_0_154])).
% 151.73/151.82 thf(c_0_159, plain, (p344|~f__0 @ f__8 @ f__13), inference(split_conjunct,[status(thm)],[c_0_155])).
% 151.73/151.82 thf(c_0_160, plain, f__0 @ f__8 @ f__13, inference(spm,[status(thm)],[c_0_156, c_0_157])).
% 151.73/151.82 thf(c_0_161, plain, ~p344, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158, c_0_151])])).
% 151.73/151.82 thf(c_0_162, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159, c_0_160])]), c_0_161]), ['proof']).
% 151.73/151.82 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 151.73/151.82 thf(0,theorem,(![X1:a>a>$o]:((~(((~(((![X2:a]:((X1 @ X2) @ X2)) => (~((![X2:a]:(![X3:a]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))))) => (~((![X2:a]:(![X3:a]:(![X4:a]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))))) => (![X2:a]:(~((![X3:a>$o]:((~(((![X4:a]:((X3 @ X4) => (![X5:a]:((X3 @ X5) = ((X1 @ X4) @ X5))))) => (~((X3 @ X2)))))) => (~((![X4:a>$o]:((~(((![X5:a]:((X4 @ X5) => (![X6:a]:((X4 @ X6) = ((X1 @ X5) @ X6))))) => (~((X4 @ X2)))))) => (X4 = X3)))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 151.73/151.82 % SZS output end Proof
%------------------------------------------------------------------------------