TSTP Solution File: SEU868^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU868^5 : 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 : n019.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 14:10:37 EDT 2022
% Result : Theorem 48.01s 48.16s
% Output : Proof 48.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU868^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 10:38:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 48.01/48.16 % SZS status Theorem
% 48.01/48.16 % Mode: mode371
% 48.01/48.16 % Inferences: 36832
% 48.01/48.16 % SZS output start Proof
% 48.01/48.16 thf(cTHM551_pme,conjecture,((![X1:(a>$o)>$o]:((~(((X1 @ (^[X2:a]:$false)) => (~((![X2:a>$o]:(![X3:a]:((X1 @ X2) => (X1 @ (^[X4:a]:((~((X2 @ X4))) => (X4 = X3)))))))))))) => (X1 @ cC))) => (![X1:(a>$o)>$o]:((~(((![X2:a>$o]:((![X3:a]:(~((X2 @ X3)))) => (X1 @ X2))) => (~((![X2:a>$o]:(![X3:a]:(![X4:a>$o]:((~(((X1 @ X2) => (~((![X5:a]:((X4 @ X5) = ((~((X2 @ X5))) => (X5 = X3))))))))) => (X1 @ X4)))))))))) => (X1 @ cC))))).
% 48.01/48.16 thf(h0,negated_conjecture,(~(((![X1:(a>$o)>$o]:((~(((X1 @ (^[X2:a]:$false)) => (~((![X2:a>$o]:(![X3:a]:((X1 @ X2) => (X1 @ (^[X4:a]:((~((X2 @ X4))) => (X4 = X3)))))))))))) => (X1 @ cC))) => (![X1:(a>$o)>$o]:((~(((![X2:a>$o]:((![X3:a]:(~((X2 @ X3)))) => (X1 @ X2))) => (~((![X2:a>$o]:(![X3:a]:(![X4:a>$o]:((~(((X1 @ X2) => (~((![X5:a]:((X4 @ X5) = ((~((X2 @ X5))) => (X5 = X3))))))))) => (X1 @ X4)))))))))) => (X1 @ cC)))))),inference(assume_negation,[status(cth)],[cTHM551_pme])).
% 48.01/48.16 thf(ax561, axiom, (p1|~(p3)), file('<stdin>', ax561)).
% 48.01/48.16 thf(ax563, axiom, ~(p1), file('<stdin>', ax563)).
% 48.01/48.16 thf(ax560, axiom, (p3|~(p4)), file('<stdin>', ax560)).
% 48.01/48.16 thf(ax559, axiom, (p4|~(p5)), file('<stdin>', ax559)).
% 48.01/48.16 thf(ax487, axiom, (~(p7)|p75), file('<stdin>', ax487)).
% 48.01/48.16 thf(ax557, axiom, (p5|p7), file('<stdin>', ax557)).
% 48.01/48.16 thf(ax488, axiom, (~(p75)|~(p74)|p19), file('<stdin>', ax488)).
% 48.01/48.16 thf(nax74, axiom, (p74<=![X1:a]:~(~$true)), file('<stdin>', nax74)).
% 48.01/48.16 thf(ax555, axiom, (~(p2)|p9), file('<stdin>', ax555)).
% 48.01/48.16 thf(ax562, axiom, (p1|p2), file('<stdin>', ax562)).
% 48.01/48.16 thf(ax558, axiom, (p4|~(p6)), file('<stdin>', ax558)).
% 48.01/48.16 thf(ax545, axiom, (~(p18)|~(p19)|~(p20)), file('<stdin>', ax545)).
% 48.01/48.16 thf(ax546, axiom, (~(p9)|p18|p6), file('<stdin>', ax546)).
% 48.01/48.16 thf(ax544, axiom, (p20|~(p21)), file('<stdin>', ax544)).
% 48.01/48.16 thf(ax540, axiom, (~(p8)|p25), file('<stdin>', ax540)).
% 48.01/48.16 thf(ax556, axiom, (p5|p8), file('<stdin>', ax556)).
% 48.01/48.16 thf(ax543, axiom, (p21|~(p22)), file('<stdin>', ax543)).
% 48.01/48.16 thf(ax404, axiom, (~(p25)|p147), file('<stdin>', ax404)).
% 48.01/48.16 thf(ax541, axiom, (p22|~(p24)), file('<stdin>', ax541)).
% 48.01/48.16 thf(ax22, axiom, (~(p147)|p488), file('<stdin>', ax22)).
% 48.01/48.16 thf(ax532, axiom, (~(p23)|p24|~(p33)), file('<stdin>', ax532)).
% 48.01/48.16 thf(ax542, axiom, (p22|p23), file('<stdin>', ax542)).
% 48.01/48.16 thf(ax23, axiom, (~(p488)|p487|p24), file('<stdin>', ax23)).
% 48.01/48.16 thf(ax451, axiom, (p93|~(p92)), file('<stdin>', ax451)).
% 48.01/48.16 thf(ax475, axiom, (p33|~(p85)), file('<stdin>', ax475)).
% 48.01/48.16 thf(ax474, axiom, (p85|~(p86)), file('<stdin>', ax474)).
% 48.01/48.16 thf(ax466, axiom, (p86|~(p92)|~(p93)), file('<stdin>', ax466)).
% 48.01/48.16 thf(ax24, axiom, (~(p487)|~(p23)|~(p486)), file('<stdin>', ax24)).
% 48.01/48.16 thf(ax467, axiom, (p86|p92|p93), file('<stdin>', ax467)).
% 48.01/48.16 thf(ax465, axiom, (~(p93)|p92|p94), file('<stdin>', ax465)).
% 48.01/48.16 thf(ax17, axiom, (p486|~(p493)), file('<stdin>', ax17)).
% 48.01/48.16 thf(pax94, axiom, (p94=>(f__7)=(f__3)), file('<stdin>', pax94)).
% 48.01/48.16 thf(pax500, axiom, (p500=>(~(f__2 @ f__24)=>(f__24)=(f__3))), file('<stdin>', pax500)).
% 48.01/48.16 thf(pax501, axiom, (p501=>(~(f__2 @ f__24)=>(f__24)=(f__7))), file('<stdin>', pax501)).
% 48.01/48.16 thf(ax9, axiom, (p493|p500|p501), file('<stdin>', ax9)).
% 48.01/48.16 thf(nax500, axiom, (p500<=(~(f__2 @ f__24)=>(f__24)=(f__3))), file('<stdin>', nax500)).
% 48.01/48.16 thf(ax8, axiom, (p493|~(p500)|~(p501)), file('<stdin>', ax8)).
% 48.01/48.16 thf(nax501, axiom, (p501<=(~(f__2 @ f__24)=>(f__24)=(f__7))), file('<stdin>', nax501)).
% 48.01/48.16 thf(c_0_38, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax561])).
% 48.01/48.16 thf(c_0_39, plain, ~p1, inference(fof_simplification,[status(thm)],[ax563])).
% 48.01/48.16 thf(c_0_40, plain, (p3|~p4), inference(fof_simplification,[status(thm)],[ax560])).
% 48.01/48.16 thf(c_0_41, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_38])).
% 48.01/48.16 thf(c_0_42, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_39])).
% 48.01/48.16 thf(c_0_43, plain, (p4|~p5), inference(fof_simplification,[status(thm)],[ax559])).
% 48.01/48.16 thf(c_0_44, plain, (p3|~p4), inference(split_conjunct,[status(thm)],[c_0_40])).
% 48.01/48.16 thf(c_0_45, plain, ~p3, inference(sr,[status(thm)],[c_0_41, c_0_42])).
% 48.01/48.16 thf(c_0_46, plain, (p4|~p5), inference(split_conjunct,[status(thm)],[c_0_43])).
% 48.01/48.16 thf(c_0_47, plain, ~p4, inference(sr,[status(thm)],[c_0_44, c_0_45])).
% 48.01/48.16 thf(c_0_48, plain, (~p7|p75), inference(fof_simplification,[status(thm)],[ax487])).
% 48.01/48.16 thf(c_0_49, plain, (p5|p7), inference(split_conjunct,[status(thm)],[ax557])).
% 48.01/48.16 thf(c_0_50, plain, ~p5, inference(sr,[status(thm)],[c_0_46, c_0_47])).
% 48.01/48.16 thf(c_0_51, plain, (~p75|~p74|p19), inference(fof_simplification,[status(thm)],[ax488])).
% 48.01/48.16 thf(c_0_52, plain, p74, inference(fof_simplification,[status(thm)],[nax74])).
% 48.01/48.16 thf(c_0_53, plain, (p75|~p7), inference(split_conjunct,[status(thm)],[c_0_48])).
% 48.01/48.16 thf(c_0_54, plain, p7, inference(sr,[status(thm)],[c_0_49, c_0_50])).
% 48.01/48.16 thf(c_0_55, plain, (~p2|p9), inference(fof_simplification,[status(thm)],[ax555])).
% 48.01/48.16 thf(c_0_56, plain, (p1|p2), inference(split_conjunct,[status(thm)],[ax562])).
% 48.01/48.16 thf(c_0_57, plain, (p4|~p6), inference(fof_simplification,[status(thm)],[ax558])).
% 48.01/48.16 thf(c_0_58, plain, (~p18|~p19|~p20), inference(fof_simplification,[status(thm)],[ax545])).
% 48.01/48.16 thf(c_0_59, plain, (p19|~p75|~p74), inference(split_conjunct,[status(thm)],[c_0_51])).
% 48.01/48.16 thf(c_0_60, plain, p74, inference(split_conjunct,[status(thm)],[c_0_52])).
% 48.01/48.16 thf(c_0_61, plain, p75, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])])).
% 48.01/48.16 thf(c_0_62, plain, (~p9|p18|p6), inference(fof_simplification,[status(thm)],[ax546])).
% 48.01/48.16 thf(c_0_63, plain, (p9|~p2), inference(split_conjunct,[status(thm)],[c_0_55])).
% 48.01/48.16 thf(c_0_64, plain, p2, inference(sr,[status(thm)],[c_0_56, c_0_42])).
% 48.01/48.16 thf(c_0_65, plain, (p4|~p6), inference(split_conjunct,[status(thm)],[c_0_57])).
% 48.01/48.16 thf(c_0_66, plain, (~p18|~p19|~p20), inference(split_conjunct,[status(thm)],[c_0_58])).
% 48.01/48.16 thf(c_0_67, plain, p19, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_60]), c_0_61])])).
% 48.01/48.16 thf(c_0_68, plain, (p18|p6|~p9), inference(split_conjunct,[status(thm)],[c_0_62])).
% 48.01/48.16 thf(c_0_69, plain, p9, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_64])])).
% 48.01/48.16 thf(c_0_70, plain, ~p6, inference(sr,[status(thm)],[c_0_65, c_0_47])).
% 48.01/48.16 thf(c_0_71, plain, (p20|~p21), inference(fof_simplification,[status(thm)],[ax544])).
% 48.01/48.16 thf(c_0_72, plain, (~p18|~p20), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])])).
% 48.01/48.16 thf(c_0_73, plain, p18, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_69])]), c_0_70])).
% 48.01/48.16 thf(c_0_74, plain, (~p8|p25), inference(fof_simplification,[status(thm)],[ax540])).
% 48.01/48.16 thf(c_0_75, plain, (p5|p8), inference(split_conjunct,[status(thm)],[ax556])).
% 48.01/48.16 thf(c_0_76, plain, (p21|~p22), inference(fof_simplification,[status(thm)],[ax543])).
% 48.01/48.16 thf(c_0_77, plain, (p20|~p21), inference(split_conjunct,[status(thm)],[c_0_71])).
% 48.01/48.16 thf(c_0_78, plain, ~p20, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73])])).
% 48.01/48.16 thf(c_0_79, plain, (~p25|p147), inference(fof_simplification,[status(thm)],[ax404])).
% 48.01/48.16 thf(c_0_80, plain, (p25|~p8), inference(split_conjunct,[status(thm)],[c_0_74])).
% 48.01/48.16 thf(c_0_81, plain, p8, inference(sr,[status(thm)],[c_0_75, c_0_50])).
% 48.01/48.16 thf(c_0_82, plain, (p21|~p22), inference(split_conjunct,[status(thm)],[c_0_76])).
% 48.01/48.16 thf(c_0_83, plain, ~p21, inference(sr,[status(thm)],[c_0_77, c_0_78])).
% 48.01/48.16 thf(c_0_84, plain, (p22|~p24), inference(fof_simplification,[status(thm)],[ax541])).
% 48.01/48.16 thf(c_0_85, plain, (~p147|p488), inference(fof_simplification,[status(thm)],[ax22])).
% 48.01/48.16 thf(c_0_86, plain, (p147|~p25), inference(split_conjunct,[status(thm)],[c_0_79])).
% 48.01/48.16 thf(c_0_87, plain, p25, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])).
% 48.01/48.16 thf(c_0_88, plain, (~p23|p24|~p33), inference(fof_simplification,[status(thm)],[ax532])).
% 48.01/48.16 thf(c_0_89, plain, (p22|p23), inference(split_conjunct,[status(thm)],[ax542])).
% 48.01/48.16 thf(c_0_90, plain, ~p22, inference(sr,[status(thm)],[c_0_82, c_0_83])).
% 48.01/48.16 thf(c_0_91, plain, (p22|~p24), inference(split_conjunct,[status(thm)],[c_0_84])).
% 48.01/48.16 thf(c_0_92, plain, (~p488|p487|p24), inference(fof_simplification,[status(thm)],[ax23])).
% 48.01/48.16 thf(c_0_93, plain, (p488|~p147), inference(split_conjunct,[status(thm)],[c_0_85])).
% 48.01/48.16 thf(c_0_94, plain, p147, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_87])])).
% 48.01/48.16 thf(c_0_95, plain, (p93|~p92), inference(fof_simplification,[status(thm)],[ax451])).
% 48.01/48.16 thf(c_0_96, plain, (p33|~p85), inference(fof_simplification,[status(thm)],[ax475])).
% 48.01/48.16 thf(c_0_97, plain, (p85|~p86), inference(fof_simplification,[status(thm)],[ax474])).
% 48.01/48.16 thf(c_0_98, plain, (p24|~p23|~p33), inference(split_conjunct,[status(thm)],[c_0_88])).
% 48.01/48.16 thf(c_0_99, plain, p23, inference(sr,[status(thm)],[c_0_89, c_0_90])).
% 48.01/48.16 thf(c_0_100, plain, ~p24, inference(sr,[status(thm)],[c_0_91, c_0_90])).
% 48.01/48.16 thf(c_0_101, plain, (p86|~p92|~p93), inference(fof_simplification,[status(thm)],[ax466])).
% 48.01/48.16 thf(c_0_102, plain, (~p487|~p23|~p486), inference(fof_simplification,[status(thm)],[ax24])).
% 48.01/48.16 thf(c_0_103, plain, (p487|p24|~p488), inference(split_conjunct,[status(thm)],[c_0_92])).
% 48.01/48.16 thf(c_0_104, plain, p488, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])])).
% 48.01/48.16 thf(c_0_105, plain, (p86|p92|p93), inference(split_conjunct,[status(thm)],[ax467])).
% 48.01/48.16 thf(c_0_106, plain, (p93|~p92), inference(split_conjunct,[status(thm)],[c_0_95])).
% 48.01/48.16 thf(c_0_107, plain, (p33|~p85), inference(split_conjunct,[status(thm)],[c_0_96])).
% 48.01/48.16 thf(c_0_108, plain, (p85|~p86), inference(split_conjunct,[status(thm)],[c_0_97])).
% 48.01/48.16 thf(c_0_109, plain, ~p33, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98, c_0_99])]), c_0_100])).
% 48.01/48.16 thf(c_0_110, plain, (p86|~p92|~p93), inference(split_conjunct,[status(thm)],[c_0_101])).
% 48.01/48.16 thf(c_0_111, plain, (~p487|~p23|~p486), inference(split_conjunct,[status(thm)],[c_0_102])).
% 48.01/48.16 thf(c_0_112, plain, (p487|p24), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104])])).
% 48.01/48.16 thf(c_0_113, plain, (~p93|p92|p94), inference(fof_simplification,[status(thm)],[ax465])).
% 48.01/48.16 thf(c_0_114, plain, (p93|p86), inference(csr,[status(thm)],[c_0_105, c_0_106])).
% 48.01/48.16 thf(c_0_115, plain, ~p86, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_109])).
% 48.01/48.16 thf(c_0_116, plain, (p86|~p92), inference(csr,[status(thm)],[c_0_110, c_0_106])).
% 48.01/48.16 thf(c_0_117, plain, (~p486|~p487), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_99])])).
% 48.01/48.16 thf(c_0_118, plain, p487, inference(sr,[status(thm)],[c_0_112, c_0_100])).
% 48.01/48.16 thf(c_0_119, plain, (p486|~p493), inference(fof_simplification,[status(thm)],[ax17])).
% 48.01/48.16 thf(c_0_120, plain, (~p94|(f__7)=(f__3)), inference(fof_nnf,[status(thm)],[pax94])).
% 48.01/48.16 thf(c_0_121, plain, (p92|p94|~p93), inference(split_conjunct,[status(thm)],[c_0_113])).
% 48.01/48.16 thf(c_0_122, plain, p93, inference(sr,[status(thm)],[c_0_114, c_0_115])).
% 48.01/48.16 thf(c_0_123, plain, ~p92, inference(spm,[status(thm)],[c_0_115, c_0_116])).
% 48.01/48.16 thf(c_0_124, plain, ~p486, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_118])])).
% 48.01/48.16 thf(c_0_125, plain, (p486|~p493), inference(split_conjunct,[status(thm)],[c_0_119])).
% 48.01/48.16 thf(c_0_126, plain, (~p500|(f__2 @ f__24|(f__24)=(f__3))), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax500])])).
% 48.01/48.16 thf(c_0_127, plain, ((f__7)=(f__3)|~p94), inference(split_conjunct,[status(thm)],[c_0_120])).
% 48.01/48.16 thf(c_0_128, plain, p94, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121, c_0_122])]), c_0_123])).
% 48.01/48.16 thf(c_0_129, plain, (~p501|(f__2 @ f__24|(f__24)=(f__7))), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax501])])).
% 48.01/48.16 thf(c_0_130, plain, (p493|p500|p501), inference(split_conjunct,[status(thm)],[ax9])).
% 48.01/48.16 thf(c_0_131, plain, ~p493, inference(spm,[status(thm)],[c_0_124, c_0_125])).
% 48.01/48.16 thf(c_0_132, plain, (f__2 @ f__24|(f__24)=(f__3)|~p500), inference(split_conjunct,[status(thm)],[c_0_126])).
% 48.01/48.16 thf(c_0_133, plain, (f__3)=(f__7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127, c_0_128])])).
% 48.01/48.16 thf(c_0_134, plain, ((~f__2 @ f__24|p500)&((f__24)!=(f__3)|p500)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax500])])])).
% 48.01/48.16 thf(c_0_135, plain, (f__2 @ f__24|(f__24)=(f__7)|~p501), inference(split_conjunct,[status(thm)],[c_0_129])).
% 48.01/48.16 thf(c_0_136, plain, (p500|p501), inference(sr,[status(thm)],[c_0_130, c_0_131])).
% 48.01/48.16 thf(c_0_137, plain, ((f__24)=(f__7)|f__2 @ f__24|~p500), inference(rw,[status(thm)],[c_0_132, c_0_133])).
% 48.01/48.16 thf(c_0_138, plain, (p500|(f__24)!=(f__3)), inference(split_conjunct,[status(thm)],[c_0_134])).
% 48.01/48.16 thf(c_0_139, plain, (p493|~p500|~p501), inference(fof_simplification,[status(thm)],[ax8])).
% 48.01/48.16 thf(c_0_140, plain, (p500|~f__2 @ f__24), inference(split_conjunct,[status(thm)],[c_0_134])).
% 48.01/48.16 thf(c_0_141, plain, ((f__24)=(f__7)|f__2 @ f__24), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_136]), c_0_137])).
% 48.01/48.16 thf(c_0_142, plain, (p500|(f__24)!=(f__7)), inference(rw,[status(thm)],[c_0_138, c_0_133])).
% 48.01/48.16 thf(c_0_143, plain, (p493|~p500|~p501), inference(split_conjunct,[status(thm)],[c_0_139])).
% 48.01/48.16 thf(c_0_144, plain, p500, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_141]), c_0_142])).
% 48.01/48.16 thf(c_0_145, plain, ((~f__2 @ f__24|p501)&((f__24)!=(f__7)|p501)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax501])])])).
% 48.01/48.16 thf(c_0_146, plain, ~p501, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143, c_0_144])]), c_0_131])).
% 48.01/48.16 thf(c_0_147, plain, (p501|(f__24)!=(f__7)), inference(split_conjunct,[status(thm)],[c_0_145])).
% 48.01/48.16 thf(c_0_148, plain, (f__24)!=(f__7), inference(spm,[status(thm)],[c_0_146, c_0_147])).
% 48.01/48.16 thf(c_0_149, plain, (p501|~f__2 @ f__24), inference(split_conjunct,[status(thm)],[c_0_145])).
% 48.01/48.16 thf(c_0_150, plain, f__2 @ f__24, inference(sr,[status(thm)],[c_0_141, c_0_148])).
% 48.01/48.16 thf(c_0_151, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149, c_0_150])]), c_0_146]), ['proof']).
% 48.01/48.16 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 48.01/48.16 thf(0,theorem,((![X1:(a>$o)>$o]:((~(((X1 @ (^[X2:a]:$false)) => (~((![X2:a>$o]:(![X3:a]:((X1 @ X2) => (X1 @ (^[X4:a]:((~((X2 @ X4))) => (X4 = X3)))))))))))) => (X1 @ cC))) => (![X1:(a>$o)>$o]:((~(((![X2:a>$o]:((![X3:a]:(~((X2 @ X3)))) => (X1 @ X2))) => (~((![X2:a>$o]:(![X3:a]:(![X4:a>$o]:((~(((X1 @ X2) => (~((![X5:a]:((X4 @ X5) = ((~((X2 @ X5))) => (X5 = X3))))))))) => (X1 @ X4)))))))))) => (X1 @ cC)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 48.01/48.16 % SZS output end Proof
%------------------------------------------------------------------------------