TSTP Solution File: SET579^3 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SET579^3 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n012.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 04:54:02 EDT 2022
% Result : Theorem 6.38s 6.50s
% Output : Proof 6.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SET579^3 : TPTP v8.1.0. Released v8.1.0.
% 0.05/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 07:37:43 EDT 2022
% 0.14/0.36 % CPUTime :
% 6.38/6.50 % SZS status Theorem
% 6.38/6.50 % Mode: mode506
% 6.38/6.50 % Inferences: 24959
% 6.38/6.50 % SZS output start Proof
% 6.38/6.50 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 6.38/6.50 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))).
% 6.38/6.50 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 6.38/6.50 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 6.38/6.50 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))).
% 6.38/6.50 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))).
% 6.38/6.50 thf(def_mbox,definition,(mbox = (^[X1:mworld>$o]:(^[X2:mworld]:(![X3:mworld]:(((mrel @ X2) @ X3) => (X1 @ X3))))))).
% 6.38/6.50 thf(def_mdia,definition,(mdia = (^[X1:mworld>$o]:(^[X2:mworld]:(~((![X3:mworld]:(((mrel @ X2) @ X3) => (~((X1 @ X3))))))))))).
% 6.38/6.50 thf(def_mforall_di,definition,(mforall_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(![X3:$i]:((X1 @ X3) @ X2)))))).
% 6.38/6.50 thf(def_mexists_di,definition,(mexists_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(~((![X3:$i]:(~(((X1 @ X3) @ X2)))))))))).
% 6.38/6.50 thf(prove_th20,conjecture,(![X1:$i]:(![X2:$i]:(![X3:$i]:((![X4:$i]:((((member @ X4) @ X1) @ mactual) = (~(((((member @ X4) @ X2) @ mactual) => (~((~((((member @ X4) @ X3) @ mactual)))))))))) => (((qmltpeq @ X1) @ ((difference @ X2) @ X3)) @ mactual)))))).
% 6.38/6.50 thf(h0,negated_conjecture,(~((![X1:$i]:(![X2:$i]:(![X3:$i]:((![X4:$i]:((((member @ X4) @ X1) @ mactual) = (~(((((member @ X4) @ X2) @ mactual) => (((member @ X4) @ X3) @ mactual)))))) => (((qmltpeq @ X1) @ ((difference @ X2) @ X3)) @ mactual))))))),inference(assume_negation,[status(cth)],[prove_th20])).
% 6.38/6.50 thf(ax9573, axiom, (p1|~(p16)), file('<stdin>', ax9573)).
% 6.38/6.50 thf(ax9588, axiom, ~(p1), file('<stdin>', ax9588)).
% 6.38/6.50 thf(ax9379, axiom, (~(p12)|p186), file('<stdin>', ax9379)).
% 6.38/6.50 thf(ax9572, axiom, (p16|~(p17)), file('<stdin>', ax9572)).
% 6.38/6.50 thf(ax8344, axiom, (~(p186)|p890), file('<stdin>', ax8344)).
% 6.38/6.50 thf(ax9577, axiom, p12, file('<stdin>', ax9577)).
% 6.38/6.50 thf(ax9571, axiom, (p17|~(p18)), file('<stdin>', ax9571)).
% 6.38/6.50 thf(ax8345, axiom, (~(p890)|p885), file('<stdin>', ax8345)).
% 6.38/6.50 thf(ax8235, axiom, (~(p80)|p986), file('<stdin>', ax8235)).
% 6.38/6.50 thf(ax9506, axiom, (~(p52)|p86), file('<stdin>', ax9506)).
% 6.38/6.50 thf(ax9483, axiom, (~(p66)|p104), file('<stdin>', ax9483)).
% 6.38/6.50 thf(ax9535, axiom, (~(p13)|p53), file('<stdin>', ax9535)).
% 6.38/6.50 thf(ax9543, axiom, (~(p14)|p45), file('<stdin>', ax9543)).
% 6.38/6.50 thf(ax9544, axiom, (~(p14)|p44), file('<stdin>', ax9544)).
% 6.38/6.50 thf(ax9550, axiom, (~(p4)|p39), file('<stdin>', ax9550)).
% 6.38/6.50 thf(ax7934, axiom, (~(p1203)|~(p885)|~(p1202)), file('<stdin>', ax7934)).
% 6.38/6.50 thf(nax1202, axiom, (p1202<=(fmember @ f__3 @ (fdifference @ f__1 @ f__2) @ fmactual=>fmember @ f__3 @ (fdifference @ f__1 @ f__2) @ fmactual)), file('<stdin>', nax1202)).
% 6.38/6.50 thf(ax9569, axiom, (p18|~(p20)), file('<stdin>', ax9569)).
% 6.38/6.50 thf(ax7880, axiom, (~(p986)|p1248), file('<stdin>', ax7880)).
% 6.38/6.50 thf(ax9512, axiom, p80, file('<stdin>', ax9512)).
% 6.38/6.50 thf(ax7943, axiom, (~(p986)|p1198), file('<stdin>', ax7943)).
% 6.38/6.50 thf(ax8825, axiom, (~(p86)|p566), file('<stdin>', ax8825)).
% 6.38/6.50 thf(ax9542, axiom, p52, file('<stdin>', ax9542)).
% 6.38/6.50 thf(ax8096, axiom, (~(p19)|p1070), file('<stdin>', ax8096)).
% 6.38/6.50 thf(ax9570, axiom, (p18|p19), file('<stdin>', ax9570)).
% 6.38/6.50 thf(ax9482, axiom, (~(p104)|p105), file('<stdin>', ax9482)).
% 6.38/6.50 thf(ax9523, axiom, p66, file('<stdin>', ax9523)).
% 6.38/6.50 thf(ax9536, axiom, (~(p53)|p47), file('<stdin>', ax9536)).
% 6.38/6.50 thf(ax9576, axiom, p13, file('<stdin>', ax9576)).
% 6.38/6.50 thf(ax9495, axiom, (~(p45)|p88), file('<stdin>', ax9495)).
% 6.38/6.50 thf(ax9575, axiom, p14, file('<stdin>', ax9575)).
% 6.38/6.50 thf(ax9501, axiom, (~(p44)|p82), file('<stdin>', ax9501)).
% 6.38/6.50 thf(ax9551, axiom, (~(p39)|p38), file('<stdin>', ax9551)).
% 6.38/6.50 thf(ax9585, axiom, p4, file('<stdin>', ax9585)).
% 6.38/6.50 thf(nax5474, axiom, (p5474<=(fmember @ f__5 @ f__0 @ fmactual=>~((fmember @ f__5 @ f__1 @ fmactual=>fmember @ f__5 @ f__2 @ fmactual)))), file('<stdin>', nax5474)).
% 6.38/6.50 thf(nax5480, axiom, (p5480<=(~((fmember @ f__5 @ f__1 @ fmactual=>fmember @ f__5 @ f__2 @ fmactual))=>fmember @ f__5 @ (fdifference @ f__1 @ f__2) @ fmactual)), file('<stdin>', nax5480)).
% 6.38/6.50 thf(ax7879, axiom, (~(p1248)|~(p1148)|p1247), file('<stdin>', ax7879)).
% 6.38/6.50 thf(ax8824, axiom, (~(p566)|~(p47)|p565), file('<stdin>', ax8824)).
% 6.38/6.50 thf(ax8822, axiom, (~(p564)|~(p82)|p563), file('<stdin>', ax8822)).
% 6.38/6.50 thf(ax7877, axiom, (~(p1246)|~(p1070)|p121), file('<stdin>', ax7877)).
% 6.38/6.50 thf(ax9481, axiom, (~(p105)|~(p88)|p103), file('<stdin>', ax9481)).
% 6.38/6.50 thf(ax9442, axiom, (~(p103)|~(p117)|p102), file('<stdin>', ax9442)).
% 6.38/6.50 thf(ax9552, axiom, (~(p38)|~(p37)|p20), file('<stdin>', ax9552)).
% 6.38/6.50 thf(ax2051, axiom, (~(p5484)|p3284|p5483), file('<stdin>', ax2051)).
% 6.38/6.50 thf(ax2057, axiom, (~(p5478)|p3284|p5477), file('<stdin>', ax2057)).
% 6.38/6.50 thf(ax7942, axiom, (~(p1198)|p1148|p1197), file('<stdin>', ax7942)).
% 6.38/6.50 thf(ax8766, axiom, (~(p563)|p37|p571), file('<stdin>', ax8766)).
% 6.38/6.50 thf(ax2053, axiom, (~(p52)|p5485), file('<stdin>', ax2053)).
% 6.38/6.50 thf(ax2048, axiom, (~(p19)|p5481), file('<stdin>', ax2048)).
% 6.38/6.50 thf(ax2059, axiom, (~(p52)|p5479), file('<stdin>', ax2059)).
% 6.38/6.50 thf(ax2054, axiom, (~(p890)|p5475), file('<stdin>', ax2054)).
% 6.38/6.50 thf(ax2049, axiom, (~(p5482)|~(p5481)|~(p5480)), file('<stdin>', ax2049)).
% 6.38/6.50 thf(ax2055, axiom, (~(p5476)|~(p5475)|~(p5474)), file('<stdin>', ax2055)).
% 6.38/6.50 thf(ax8802, axiom, (~(p571)|~(p102)|~(p158)), file('<stdin>', ax8802)).
% 6.38/6.50 thf(ax7878, axiom, (~(p1247)|p1246), file('<stdin>', ax7878)).
% 6.38/6.50 thf(ax7935, axiom, (~(p1197)|p1203), file('<stdin>', ax7935)).
% 6.38/6.50 thf(ax2052, axiom, (~(p5485)|p5484), file('<stdin>', ax2052)).
% 6.38/6.50 thf(ax2050, axiom, (~(p5483)|p5482), file('<stdin>', ax2050)).
% 6.38/6.50 thf(ax2058, axiom, (~(p5479)|p5478), file('<stdin>', ax2058)).
% 6.38/6.50 thf(ax2056, axiom, (~(p5477)|p5476), file('<stdin>', ax2056)).
% 6.38/6.50 thf(ax9462, axiom, (p117|~(p121)), file('<stdin>', ax9462)).
% 6.38/6.50 thf(ax8823, axiom, (~(p565)|p564), file('<stdin>', ax8823)).
% 6.38/6.50 thf(ax4752, axiom, (p158|~(p3284)), file('<stdin>', ax4752)).
% 6.38/6.50 thf(c_0_63, plain, (p1|~p16), inference(fof_simplification,[status(thm)],[ax9573])).
% 6.38/6.50 thf(c_0_64, plain, ~p1, inference(fof_simplification,[status(thm)],[ax9588])).
% 6.38/6.50 thf(c_0_65, plain, (~p12|p186), inference(fof_simplification,[status(thm)],[ax9379])).
% 6.38/6.50 thf(c_0_66, plain, (p16|~p17), inference(fof_simplification,[status(thm)],[ax9572])).
% 6.38/6.50 thf(c_0_67, plain, (p1|~p16), inference(split_conjunct,[status(thm)],[c_0_63])).
% 6.38/6.50 thf(c_0_68, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_64])).
% 6.38/6.50 thf(c_0_69, plain, (~p186|p890), inference(fof_simplification,[status(thm)],[ax8344])).
% 6.38/6.50 thf(c_0_70, plain, (p186|~p12), inference(split_conjunct,[status(thm)],[c_0_65])).
% 6.38/6.50 thf(c_0_71, plain, p12, inference(split_conjunct,[status(thm)],[ax9577])).
% 6.38/6.50 thf(c_0_72, plain, (p17|~p18), inference(fof_simplification,[status(thm)],[ax9571])).
% 6.38/6.50 thf(c_0_73, plain, (p16|~p17), inference(split_conjunct,[status(thm)],[c_0_66])).
% 6.38/6.50 thf(c_0_74, plain, ~p16, inference(sr,[status(thm)],[c_0_67, c_0_68])).
% 6.38/6.50 thf(c_0_75, plain, (~p890|p885), inference(fof_simplification,[status(thm)],[ax8345])).
% 6.38/6.50 thf(c_0_76, plain, (p890|~p186), inference(split_conjunct,[status(thm)],[c_0_69])).
% 6.38/6.50 thf(c_0_77, plain, p186, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_71])])).
% 6.38/6.50 thf(c_0_78, plain, (~p80|p986), inference(fof_simplification,[status(thm)],[ax8235])).
% 6.38/6.50 thf(c_0_79, plain, (~p52|p86), inference(fof_simplification,[status(thm)],[ax9506])).
% 6.38/6.50 thf(c_0_80, plain, (p17|~p18), inference(split_conjunct,[status(thm)],[c_0_72])).
% 6.38/6.50 thf(c_0_81, plain, ~p17, inference(sr,[status(thm)],[c_0_73, c_0_74])).
% 6.38/6.50 thf(c_0_82, plain, (~p66|p104), inference(fof_simplification,[status(thm)],[ax9483])).
% 6.38/6.50 thf(c_0_83, plain, (~p13|p53), inference(fof_simplification,[status(thm)],[ax9535])).
% 6.38/6.50 thf(c_0_84, plain, (~p14|p45), inference(fof_simplification,[status(thm)],[ax9543])).
% 6.38/6.50 thf(c_0_85, plain, (~p14|p44), inference(fof_simplification,[status(thm)],[ax9544])).
% 6.38/6.50 thf(c_0_86, plain, (~p4|p39), inference(fof_simplification,[status(thm)],[ax9550])).
% 6.38/6.50 thf(c_0_87, plain, (~p1203|~p885|~p1202), inference(fof_simplification,[status(thm)],[ax7934])).
% 6.38/6.50 thf(c_0_88, plain, (p885|~p890), inference(split_conjunct,[status(thm)],[c_0_75])).
% 6.38/6.50 thf(c_0_89, plain, p890, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])])).
% 6.38/6.50 thf(c_0_90, plain, p1202, inference(fof_simplification,[status(thm)],[nax1202])).
% 6.38/6.50 thf(c_0_91, plain, (p18|~p20), inference(fof_simplification,[status(thm)],[ax9569])).
% 6.38/6.50 thf(c_0_92, plain, (~p986|p1248), inference(fof_simplification,[status(thm)],[ax7880])).
% 6.38/6.50 thf(c_0_93, plain, (p986|~p80), inference(split_conjunct,[status(thm)],[c_0_78])).
% 6.38/6.50 thf(c_0_94, plain, p80, inference(split_conjunct,[status(thm)],[ax9512])).
% 6.38/6.50 thf(c_0_95, plain, (~p986|p1198), inference(fof_simplification,[status(thm)],[ax7943])).
% 6.38/6.50 thf(c_0_96, plain, (~p86|p566), inference(fof_simplification,[status(thm)],[ax8825])).
% 6.38/6.50 thf(c_0_97, plain, (p86|~p52), inference(split_conjunct,[status(thm)],[c_0_79])).
% 6.38/6.50 thf(c_0_98, plain, p52, inference(split_conjunct,[status(thm)],[ax9542])).
% 6.38/6.50 thf(c_0_99, plain, (~p19|p1070), inference(fof_simplification,[status(thm)],[ax8096])).
% 6.38/6.50 thf(c_0_100, plain, (p18|p19), inference(split_conjunct,[status(thm)],[ax9570])).
% 6.38/6.50 thf(c_0_101, plain, ~p18, inference(sr,[status(thm)],[c_0_80, c_0_81])).
% 6.38/6.50 thf(c_0_102, plain, (~p104|p105), inference(fof_simplification,[status(thm)],[ax9482])).
% 6.38/6.50 thf(c_0_103, plain, (p104|~p66), inference(split_conjunct,[status(thm)],[c_0_82])).
% 6.38/6.50 thf(c_0_104, plain, p66, inference(split_conjunct,[status(thm)],[ax9523])).
% 6.38/6.50 thf(c_0_105, plain, (~p53|p47), inference(fof_simplification,[status(thm)],[ax9536])).
% 6.38/6.50 thf(c_0_106, plain, (p53|~p13), inference(split_conjunct,[status(thm)],[c_0_83])).
% 6.38/6.50 thf(c_0_107, plain, p13, inference(split_conjunct,[status(thm)],[ax9576])).
% 6.38/6.50 thf(c_0_108, plain, (~p45|p88), inference(fof_simplification,[status(thm)],[ax9495])).
% 6.38/6.50 thf(c_0_109, plain, (p45|~p14), inference(split_conjunct,[status(thm)],[c_0_84])).
% 6.38/6.50 thf(c_0_110, plain, p14, inference(split_conjunct,[status(thm)],[ax9575])).
% 6.38/6.50 thf(c_0_111, plain, (~p44|p82), inference(fof_simplification,[status(thm)],[ax9501])).
% 6.38/6.50 thf(c_0_112, plain, (p44|~p14), inference(split_conjunct,[status(thm)],[c_0_85])).
% 6.38/6.50 thf(c_0_113, plain, (~p39|p38), inference(fof_simplification,[status(thm)],[ax9551])).
% 6.38/6.50 thf(c_0_114, plain, (p39|~p4), inference(split_conjunct,[status(thm)],[c_0_86])).
% 6.38/6.50 thf(c_0_115, plain, p4, inference(split_conjunct,[status(thm)],[ax9585])).
% 6.38/6.50 thf(c_0_116, plain, ((fmember @ f__5 @ f__0 @ fmactual|p5474)&(~fmember @ f__5 @ f__1 @ fmactual|fmember @ f__5 @ f__2 @ fmactual|p5474)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax5474])])])).
% 6.38/6.50 thf(c_0_117, plain, (((fmember @ f__5 @ f__1 @ fmactual|p5480)&(~fmember @ f__5 @ f__2 @ fmactual|p5480))&(~fmember @ f__5 @ (fdifference @ f__1 @ f__2) @ fmactual|p5480)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax5480])])])).
% 6.38/6.50 thf(c_0_118, plain, (~p1248|~p1148|p1247), inference(fof_simplification,[status(thm)],[ax7879])).
% 6.38/6.50 thf(c_0_119, plain, (~p566|~p47|p565), inference(fof_simplification,[status(thm)],[ax8824])).
% 6.38/6.50 thf(c_0_120, plain, (~p564|~p82|p563), inference(fof_simplification,[status(thm)],[ax8822])).
% 6.38/6.50 thf(c_0_121, plain, (~p1246|~p1070|p121), inference(fof_simplification,[status(thm)],[ax7877])).
% 6.38/6.50 thf(c_0_122, plain, (~p105|~p88|p103), inference(fof_simplification,[status(thm)],[ax9481])).
% 6.38/6.50 thf(c_0_123, plain, (~p103|~p117|p102), inference(fof_simplification,[status(thm)],[ax9442])).
% 6.38/6.50 thf(c_0_124, plain, (~p38|~p37|p20), inference(fof_simplification,[status(thm)],[ax9552])).
% 6.38/6.50 thf(c_0_125, plain, (~p5484|p3284|p5483), inference(fof_simplification,[status(thm)],[ax2051])).
% 6.38/6.50 thf(c_0_126, plain, (~p5478|p3284|p5477), inference(fof_simplification,[status(thm)],[ax2057])).
% 6.38/6.50 thf(c_0_127, plain, (~p1198|p1148|p1197), inference(fof_simplification,[status(thm)],[ax7942])).
% 6.38/6.50 thf(c_0_128, plain, (~p563|p37|p571), inference(fof_simplification,[status(thm)],[ax8766])).
% 6.38/6.50 thf(c_0_129, plain, (~p52|p5485), inference(fof_simplification,[status(thm)],[ax2053])).
% 6.38/6.50 thf(c_0_130, plain, (~p19|p5481), inference(fof_simplification,[status(thm)],[ax2048])).
% 6.38/6.50 thf(c_0_131, plain, (~p52|p5479), inference(fof_simplification,[status(thm)],[ax2059])).
% 6.38/6.50 thf(c_0_132, plain, (~p890|p5475), inference(fof_simplification,[status(thm)],[ax2054])).
% 6.38/6.50 thf(c_0_133, plain, (~p5482|~p5481|~p5480), inference(fof_simplification,[status(thm)],[ax2049])).
% 6.38/6.50 thf(c_0_134, plain, (~p5476|~p5475|~p5474), inference(fof_simplification,[status(thm)],[ax2055])).
% 6.38/6.50 thf(c_0_135, plain, (~p571|~p102|~p158), inference(fof_simplification,[status(thm)],[ax8802])).
% 6.38/6.50 thf(c_0_136, plain, (~p1247|p1246), inference(fof_simplification,[status(thm)],[ax7878])).
% 6.38/6.50 thf(c_0_137, plain, (~p1197|p1203), inference(fof_simplification,[status(thm)],[ax7935])).
% 6.38/6.50 thf(c_0_138, plain, (~p5485|p5484), inference(fof_simplification,[status(thm)],[ax2052])).
% 6.38/6.50 thf(c_0_139, plain, (~p5483|p5482), inference(fof_simplification,[status(thm)],[ax2050])).
% 6.38/6.50 thf(c_0_140, plain, (~p5479|p5478), inference(fof_simplification,[status(thm)],[ax2058])).
% 6.38/6.50 thf(c_0_141, plain, (~p5477|p5476), inference(fof_simplification,[status(thm)],[ax2056])).
% 6.38/6.50 thf(c_0_142, plain, (p117|~p121), inference(fof_simplification,[status(thm)],[ax9462])).
% 6.38/6.50 thf(c_0_143, plain, (~p565|p564), inference(fof_simplification,[status(thm)],[ax8823])).
% 6.38/6.50 thf(c_0_144, plain, (p158|~p3284), inference(fof_simplification,[status(thm)],[ax4752])).
% 6.38/6.50 thf(c_0_145, plain, (~p1203|~p885|~p1202), inference(split_conjunct,[status(thm)],[c_0_87])).
% 6.38/6.50 thf(c_0_146, plain, p885, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_89])])).
% 6.38/6.50 thf(c_0_147, plain, p1202, inference(split_conjunct,[status(thm)],[c_0_90])).
% 6.38/6.50 thf(c_0_148, plain, (p18|~p20), inference(split_conjunct,[status(thm)],[c_0_91])).
% 6.38/6.50 thf(c_0_149, plain, (p1248|~p986), inference(split_conjunct,[status(thm)],[c_0_92])).
% 6.38/6.50 thf(c_0_150, plain, p986, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])])).
% 6.38/6.50 thf(c_0_151, plain, (p1198|~p986), inference(split_conjunct,[status(thm)],[c_0_95])).
% 6.38/6.50 thf(c_0_152, plain, (p566|~p86), inference(split_conjunct,[status(thm)],[c_0_96])).
% 6.38/6.50 thf(c_0_153, plain, p86, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97, c_0_98])])).
% 6.38/6.50 thf(c_0_154, plain, (p1070|~p19), inference(split_conjunct,[status(thm)],[c_0_99])).
% 6.38/6.50 thf(c_0_155, plain, p19, inference(sr,[status(thm)],[c_0_100, c_0_101])).
% 6.38/6.50 thf(c_0_156, plain, (p105|~p104), inference(split_conjunct,[status(thm)],[c_0_102])).
% 6.38/6.50 thf(c_0_157, plain, p104, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104])])).
% 6.38/6.50 thf(c_0_158, plain, (p47|~p53), inference(split_conjunct,[status(thm)],[c_0_105])).
% 6.38/6.50 thf(c_0_159, plain, p53, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_107])])).
% 6.38/6.50 thf(c_0_160, plain, (p88|~p45), inference(split_conjunct,[status(thm)],[c_0_108])).
% 6.38/6.50 thf(c_0_161, plain, p45, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109, c_0_110])])).
% 6.38/6.50 thf(c_0_162, plain, (p82|~p44), inference(split_conjunct,[status(thm)],[c_0_111])).
% 6.38/6.50 thf(c_0_163, plain, p44, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112, c_0_110])])).
% 6.38/6.50 thf(c_0_164, plain, (p38|~p39), inference(split_conjunct,[status(thm)],[c_0_113])).
% 6.38/6.50 thf(c_0_165, plain, p39, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114, c_0_115])])).
% 6.38/6.50 thf(c_0_166, plain, (fmember @ f__5 @ f__2 @ fmactual|p5474|~fmember @ f__5 @ f__1 @ fmactual), inference(split_conjunct,[status(thm)],[c_0_116])).
% 6.38/6.50 thf(c_0_167, plain, (p5480|~fmember @ f__5 @ f__2 @ fmactual), inference(split_conjunct,[status(thm)],[c_0_117])).
% 6.38/6.50 thf(c_0_168, plain, (fmember @ f__5 @ f__1 @ fmactual|p5480), inference(split_conjunct,[status(thm)],[c_0_117])).
% 6.38/6.50 thf(c_0_169, plain, (p1247|~p1248|~p1148), inference(split_conjunct,[status(thm)],[c_0_118])).
% 6.38/6.50 thf(c_0_170, plain, (p565|~p566|~p47), inference(split_conjunct,[status(thm)],[c_0_119])).
% 6.38/6.50 thf(c_0_171, plain, (p563|~p564|~p82), inference(split_conjunct,[status(thm)],[c_0_120])).
% 6.38/6.50 thf(c_0_172, plain, (p121|~p1246|~p1070), inference(split_conjunct,[status(thm)],[c_0_121])).
% 6.38/6.50 thf(c_0_173, plain, (p103|~p105|~p88), inference(split_conjunct,[status(thm)],[c_0_122])).
% 6.38/6.50 thf(c_0_174, plain, (p102|~p103|~p117), inference(split_conjunct,[status(thm)],[c_0_123])).
% 6.38/6.50 thf(c_0_175, plain, (p20|~p38|~p37), inference(split_conjunct,[status(thm)],[c_0_124])).
% 6.38/6.50 thf(c_0_176, plain, (p3284|p5483|~p5484), inference(split_conjunct,[status(thm)],[c_0_125])).
% 6.38/6.50 thf(c_0_177, plain, (p3284|p5477|~p5478), inference(split_conjunct,[status(thm)],[c_0_126])).
% 6.38/6.50 thf(c_0_178, plain, (p1148|p1197|~p1198), inference(split_conjunct,[status(thm)],[c_0_127])).
% 6.38/6.50 thf(c_0_179, plain, (p37|p571|~p563), inference(split_conjunct,[status(thm)],[c_0_128])).
% 6.38/6.50 thf(c_0_180, plain, (p5485|~p52), inference(split_conjunct,[status(thm)],[c_0_129])).
% 6.38/6.50 thf(c_0_181, plain, (p5481|~p19), inference(split_conjunct,[status(thm)],[c_0_130])).
% 6.38/6.50 thf(c_0_182, plain, (p5479|~p52), inference(split_conjunct,[status(thm)],[c_0_131])).
% 6.38/6.50 thf(c_0_183, plain, (p5475|~p890), inference(split_conjunct,[status(thm)],[c_0_132])).
% 6.38/6.50 thf(c_0_184, plain, (~p5482|~p5481|~p5480), inference(split_conjunct,[status(thm)],[c_0_133])).
% 6.38/6.50 thf(c_0_185, plain, (~p5476|~p5475|~p5474), inference(split_conjunct,[status(thm)],[c_0_134])).
% 6.38/6.50 thf(c_0_186, plain, (~p571|~p102|~p158), inference(split_conjunct,[status(thm)],[c_0_135])).
% 6.38/6.50 thf(c_0_187, plain, (p1246|~p1247), inference(split_conjunct,[status(thm)],[c_0_136])).
% 6.38/6.50 thf(c_0_188, plain, (p1203|~p1197), inference(split_conjunct,[status(thm)],[c_0_137])).
% 6.38/6.50 thf(c_0_189, plain, (p5484|~p5485), inference(split_conjunct,[status(thm)],[c_0_138])).
% 6.38/6.50 thf(c_0_190, plain, (p5482|~p5483), inference(split_conjunct,[status(thm)],[c_0_139])).
% 6.38/6.50 thf(c_0_191, plain, (p5478|~p5479), inference(split_conjunct,[status(thm)],[c_0_140])).
% 6.38/6.50 thf(c_0_192, plain, (p5476|~p5477), inference(split_conjunct,[status(thm)],[c_0_141])).
% 6.38/6.50 thf(c_0_193, plain, (p117|~p121), inference(split_conjunct,[status(thm)],[c_0_142])).
% 6.38/6.50 thf(c_0_194, plain, (p564|~p565), inference(split_conjunct,[status(thm)],[c_0_143])).
% 6.38/6.50 thf(c_0_195, plain, (p158|~p3284), inference(split_conjunct,[status(thm)],[c_0_144])).
% 6.38/6.50 thf(c_0_196, plain, ~p1203, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145, c_0_146]), c_0_147])])).
% 6.38/6.50 thf(c_0_197, plain, ~p20, inference(sr,[status(thm)],[c_0_148, c_0_101])).
% 6.38/6.50 thf(c_0_198, plain, p1248, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149, c_0_150])])).
% 6.38/6.50 thf(c_0_199, plain, p1198, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151, c_0_150])])).
% 6.38/6.50 thf(c_0_200, plain, p566, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152, c_0_153])])).
% 6.38/6.50 thf(c_0_201, plain, p1070, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154, c_0_155])])).
% 6.38/6.50 thf(c_0_202, plain, p105, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156, c_0_157])])).
% 6.38/6.50 thf(c_0_203, plain, p47, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158, c_0_159])])).
% 6.38/6.50 thf(c_0_204, plain, p88, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160, c_0_161])])).
% 6.38/6.50 thf(c_0_205, plain, p82, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162, c_0_163])])).
% 6.38/6.50 thf(c_0_206, plain, p38, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164, c_0_165])])).
% 6.38/6.50 thf(c_0_207, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_166, c_0_167, c_0_168, c_0_169, c_0_170, c_0_171, c_0_172, c_0_173, c_0_174, c_0_175, c_0_176, c_0_177, c_0_178, c_0_179, c_0_180, c_0_181, c_0_182, c_0_183, c_0_184, c_0_185, c_0_186, c_0_187, c_0_188, c_0_189, c_0_190, c_0_191, c_0_192, c_0_193, c_0_194, c_0_195, c_0_196, c_0_197, c_0_198, c_0_199, c_0_89, c_0_200, c_0_201, c_0_202, c_0_203, c_0_204, c_0_205, c_0_206, c_0_155, c_0_98]), ['proof']).
% 6.38/6.50 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 6.38/6.50 thf(0,theorem,(![X1:$i]:(![X2:$i]:(![X3:$i]:((![X4:$i]:((((member @ X4) @ X1) @ mactual) = (~(((((member @ X4) @ X2) @ mactual) => (~((~((((member @ X4) @ X3) @ mactual)))))))))) => (((qmltpeq @ X1) @ ((difference @ X2) @ X3)) @ mactual))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 6.38/6.50 % SZS output end Proof
%------------------------------------------------------------------------------