TSTP Solution File: SEV107^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV107^5 : 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 : n009.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 18:04:53 EDT 2022
% Result : Theorem 5.13s 5.37s
% Output : Proof 5.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV107^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n009.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 27 21:03:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.13/5.37 % SZS status Theorem
% 5.13/5.37 % Mode: mode506
% 5.13/5.37 % Inferences: 118549
% 5.13/5.37 % SZS output start Proof
% 5.13/5.37 thf(cTHM552B_pme,conjecture,((~(((![X1:a]:(![X2:a]:(![X3:a]:((~((((cR @ X1) @ X2) => (~(((cR @ X3) @ X2)))))) => ((cR @ X1) @ X3))))) => (~((![X1:a]:((cR @ X1) @ X1))))))) => ((~(((~(((![X1:a]:(~((![X2:$i]:(~(((f @ X1) @ X2))))))) => (~((![X1:a]:(![X2:$i]:(![X3:$i]:((~((((f @ X1) @ X2) => (~(((f @ X1) @ X3)))))) => ((cS @ X2) @ X3)))))))))) => (~((![X1:a]:(![X2:a]:(![X3:$i]:((~((((f @ X1) @ X3) => (~(((f @ X2) @ X3)))))) => ((cR @ X1) @ X2)))))))))) => (~(((~(((![X1:a]:(~((![X2:$i]:(~((![X3:a]:((~(((f @ X1) @ X2))) => (~(((~(((f @ X3) @ X2))) => (~(((cR @ X1) @ z)))))))))))))) => (~((![X1:$i]:(![X2:a]:(![X3:a]:((~(((![X4:a]:((~(((f @ X2) @ X1))) => (~(((~(((f @ X4) @ X1))) => (~(((cR @ X2) @ z)))))))) => (~((![X4:a]:((~(((f @ X3) @ X1))) => (~(((~(((f @ X4) @ X1))) => (~(((cR @ X3) @ z))))))))))))) => ((cR @ X2) @ X3)))))))))) => (~((![X1:$i]:(~((![X2:a]:(~((![X3:a]:((~(((f @ X2) @ X1))) => (~(((~(((f @ X3) @ X1))) => (~(((cR @ X2) @ z)))))))))))))))))))))).
% 5.13/5.37 thf(h0,negated_conjecture,(~(((~(((![X1:a]:(![X2:a]:(![X3:a]:((~((((cR @ X1) @ X2) => (~(((cR @ X3) @ X2)))))) => ((cR @ X1) @ X3))))) => (~((![X1:a]:((cR @ X1) @ X1))))))) => ((~(((~(((![X1:a]:(~((![X2:$i]:(~(((f @ X1) @ X2))))))) => (~((![X1:a]:(![X2:$i]:(![X3:$i]:((~((((f @ X1) @ X2) => (~(((f @ X1) @ X3)))))) => ((cS @ X2) @ X3)))))))))) => (~((![X1:a]:(![X2:a]:(![X3:$i]:((~((((f @ X1) @ X3) => (~(((f @ X2) @ X3)))))) => ((cR @ X1) @ X2)))))))))) => (~(((~(((![X1:a]:(~((![X2:$i]:(~((![X3:a]:((~(((f @ X1) @ X2))) => (~(((~(((f @ X3) @ X2))) => (~(((cR @ X1) @ z)))))))))))))) => (~((![X1:$i]:(![X2:a]:(![X3:a]:((~(((![X4:a]:((~(((f @ X2) @ X1))) => (~(((~(((f @ X4) @ X1))) => (~(((cR @ X2) @ z)))))))) => (~((![X4:a]:((~(((f @ X3) @ X1))) => (~(((~(((f @ X4) @ X1))) => (~(((cR @ X3) @ z))))))))))))) => ((cR @ X2) @ X3)))))))))) => (~((![X1:$i]:(~((![X2:a]:(~((![X3:a]:((~(((f @ X2) @ X1))) => (~(((~(((f @ X3) @ X1))) => (~(((cR @ X2) @ z))))))))))))))))))))))),inference(assume_negation,[status(cth)],[cTHM552B_pme])).
% 5.13/5.37 thf(ax2262, axiom, (p1|~(p3)), file('<stdin>', ax2262)).
% 5.13/5.37 thf(ax2264, axiom, ~(p1), file('<stdin>', ax2264)).
% 5.13/5.37 thf(nax1, axiom, (p1<=(~((![X124:a, X123:a, X121:a]:(~((fcR @ X124 @ X123=>~(fcR @ X121 @ X123)))=>fcR @ X124 @ X121)=>~(![X124:a]:fcR @ X124 @ X124)))=>(~((~((![X124:a]:~(![X125:$i]:~(ff @ X124 @ X125))=>~(![X124:a, X125:$i, X126:$i]:(~((ff @ X124 @ X125=>~(ff @ X124 @ X126)))=>fcS @ X125 @ X126))))=>~(![X124:a, X127:a, X126:$i]:(~((ff @ X124 @ X126=>~(ff @ X127 @ X126)))=>fcR @ X124 @ X127))))=>~((~((![X124:a]:~(![X128:$i]:~(![X129:a]:(~(ff @ X124 @ X128)=>~((~(ff @ X129 @ X128)=>~(fcR @ X124 @ fz))))))=>~(![X130:$i, X131:a, X129:a]:(~((![X75:a]:(~(ff @ X131 @ X130)=>~((~(ff @ X75 @ X130)=>~(fcR @ X131 @ fz))))=>~(![X75:a]:(~(ff @ X129 @ X130)=>~((~(ff @ X75 @ X130)=>~(fcR @ X129 @ fz)))))))=>fcR @ X131 @ X129))))=>~(![X130:$i]:~(![X131:a]:~(![X129:a]:(~(ff @ X131 @ X130)=>~((~(ff @ X129 @ X130)=>~(fcR @ X131 @ fz)))))))))))), file('<stdin>', nax1)).
% 5.13/5.37 thf(ax2261, axiom, (p3|~(p4)), file('<stdin>', ax2261)).
% 5.13/5.37 thf(pax21, axiom, (p21=>![X60:$i]:~(![X57:a]:(~(ff @ f__1 @ X60)=>~((~(ff @ X57 @ X60)=>~(fcR @ f__1 @ fz)))))), file('<stdin>', pax21)).
% 5.13/5.37 thf(ax2263, axiom, (p1|~(p2)), file('<stdin>', ax2263)).
% 5.13/5.37 thf(ax2156, axiom, (p92|~(p107)), file('<stdin>', ax2156)).
% 5.13/5.37 thf(ax2155, axiom, (p107|~(p108)), file('<stdin>', ax2155)).
% 5.13/5.37 thf(ax2135, axiom, (~(p11)|p128), file('<stdin>', ax2135)).
% 5.13/5.37 thf(ax2256, axiom, (p4|p11), file('<stdin>', ax2256)).
% 5.13/5.37 thf(ax2258, axiom, (~(p6)|~(p8)|~(p9)), file('<stdin>', ax2258)).
% 5.13/5.37 thf(ax2246, axiom, (p8|p21), file('<stdin>', ax2246)).
% 5.13/5.37 thf(ax2176, axiom, (p9|~(p92)), file('<stdin>', ax2176)).
% 5.13/5.37 thf(ax2259, axiom, (~(p5)|p6|~(p7)), file('<stdin>', ax2259)).
% 5.13/5.37 thf(ax2260, axiom, (p3|p5), file('<stdin>', ax2260)).
% 5.13/5.37 thf(pax28, axiom, (p28=>![X56:a]:~(![X57:a]:(~(ff @ X56 @ f__4)=>~((~(ff @ X57 @ f__4)=>~(fcR @ X56 @ fz)))))), file('<stdin>', pax28)).
% 5.13/5.37 thf(pax14, axiom, (p14=>![X65:a]:fcR @ X65 @ X65), file('<stdin>', pax14)).
% 5.13/5.37 thf(ax2253, axiom, (p2|p14), file('<stdin>', ax2253)).
% 5.13/5.37 thf(ax1516, axiom, (~(p128)|p504), file('<stdin>', ax1516)).
% 5.13/5.37 thf(ax524, axiom, (~(p504)|p864), file('<stdin>', ax524)).
% 5.13/5.37 thf(ax2153, axiom, (p108|~(p110)), file('<stdin>', ax2153)).
% 5.13/5.37 thf(ax2239, axiom, (p7|p28), file('<stdin>', ax2239)).
% 5.13/5.37 thf(ax2137, axiom, (~(p13)|p126), file('<stdin>', ax2137)).
% 5.13/5.37 thf(ax2254, axiom, (p2|p13), file('<stdin>', ax2254)).
% 5.13/5.37 thf(ax525, axiom, (~(p864)|p863|p110), file('<stdin>', ax525)).
% 5.13/5.37 thf(ax1205, axiom, (~(p126)|p579), file('<stdin>', ax1205)).
% 5.13/5.37 thf(ax985, axiom, (~(p579)|p734), file('<stdin>', ax985)).
% 5.13/5.37 thf(pax863, axiom, (p863=>(ff @ f__7 @ f__6=>~(ff @ f__8 @ f__6))), file('<stdin>', pax863)).
% 5.13/5.37 thf(nax108, axiom, (p108<=(~((![X35:a]:(~(ff @ f__7 @ f__6)=>~((~(ff @ X35 @ f__6)=>~(fcR @ f__7 @ fz))))=>~(![X35:a]:(~(ff @ f__8 @ f__6)=>~((~(ff @ X35 @ f__6)=>~(fcR @ f__8 @ fz)))))))=>fcR @ f__7 @ f__8)), file('<stdin>', nax108)).
% 5.13/5.37 thf(ax986, axiom, (~(p734)|p733|p110), file('<stdin>', ax986)).
% 5.13/5.37 thf(pax852, axiom, (p852=>(~(ff @ f__8 @ f__6)=>~((~(ff @ f__7 @ f__6)=>~(fcR @ f__8 @ fz))))), file('<stdin>', pax852)).
% 5.13/5.37 thf(pax577, axiom, (p577=>(fcR @ f__7 @ fz=>~(fcR @ f__7 @ fz))), file('<stdin>', pax577)).
% 5.13/5.37 thf(nax862, axiom, (p862<=ff @ f__7 @ f__6), file('<stdin>', nax862)).
% 5.13/5.37 thf(pax862, axiom, (p862=>ff @ f__7 @ f__6), file('<stdin>', pax862)).
% 5.13/5.37 thf(pax733, axiom, (p733=>(fcR @ f__7 @ fz=>~(fcR @ f__8 @ fz))), file('<stdin>', pax733)).
% 5.13/5.37 thf(nax577, axiom, (p577<=(fcR @ f__7 @ fz=>~(fcR @ f__7 @ fz))), file('<stdin>', nax577)).
% 5.13/5.37 thf(ax537, axiom, (~(p835)|p852), file('<stdin>', ax537)).
% 5.13/5.37 thf(pax640, axiom, (p640=>fcR @ f__8 @ fz), file('<stdin>', pax640)).
% 5.13/5.37 thf(nax640, axiom, (p640<=fcR @ f__8 @ fz), file('<stdin>', nax640)).
% 5.13/5.37 thf(nax736, axiom, (p736<=(fcR @ fz @ fz=>~(fcR @ f__8 @ fz))), file('<stdin>', nax736)).
% 5.13/5.37 thf(ax2154, axiom, (p108|~(p109)), file('<stdin>', ax2154)).
% 5.13/5.37 thf(ax553, axiom, (p109|p835), file('<stdin>', ax553)).
% 5.13/5.37 thf(pax736, axiom, (p736=>(fcR @ fz @ fz=>~(fcR @ f__8 @ fz))), file('<stdin>', pax736)).
% 5.13/5.37 thf(c_0_43, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax2262])).
% 5.13/5.37 thf(c_0_44, plain, ~p1, inference(fof_simplification,[status(thm)],[ax2264])).
% 5.13/5.37 thf(c_0_45, plain, ![X717:a, X718:a, X719:a, X720:a, X721:a, X723:a, X724:$i, X725:$i, X726:a, X727:a, X728:$i, X730:$i, X735:a, X736:a, X738:a]:(((~fcR @ X717 @ X718|~fcR @ X719 @ X718|fcR @ X717 @ X719|p1)&(fcR @ X720 @ X720|p1))&((((ff @ X721 @ (esk296_1 @ X721)|p1)&(~ff @ X723 @ X724|~ff @ X723 @ X725|fcS @ X724 @ X725|p1))&(~ff @ X726 @ X728|~ff @ X727 @ X728|fcR @ X726 @ X727|p1))&((((((~ff @ X738 @ esk302_0|(~ff @ X735 @ esk299_0|ff @ esk300_0 @ esk299_0|~ff @ esk297_0 @ X730)|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(~ff @ X735 @ esk299_0|ff @ esk300_0 @ esk299_0|~ff @ esk297_0 @ X730)|p1))&((~ff @ X738 @ esk302_0|(fcR @ esk300_0 @ fz|ff @ esk300_0 @ esk299_0|~ff @ esk297_0 @ X730)|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(fcR @ esk300_0 @ fz|ff @ esk300_0 @ esk299_0|~ff @ esk297_0 @ X730)|p1)))&(((~ff @ X738 @ esk302_0|(~ff @ X736 @ esk299_0|ff @ esk301_0 @ esk299_0|~ff @ esk297_0 @ X730)|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(~ff @ X736 @ esk299_0|ff @ esk301_0 @ esk299_0|~ff @ esk297_0 @ X730)|p1))&((~ff @ X738 @ esk302_0|(fcR @ esk301_0 @ fz|ff @ esk301_0 @ esk299_0|~ff @ esk297_0 @ X730)|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(fcR @ esk301_0 @ fz|ff @ esk301_0 @ esk299_0|~ff @ esk297_0 @ X730)|p1))))&((~ff @ X738 @ esk302_0|(~fcR @ esk300_0 @ esk301_0|~ff @ esk297_0 @ X730)|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(~fcR @ esk300_0 @ esk301_0|~ff @ esk297_0 @ X730)|p1)))&(((((~ff @ X738 @ esk302_0|(~ff @ X735 @ esk299_0|ff @ esk300_0 @ esk299_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(~ff @ X735 @ esk299_0|ff @ esk300_0 @ esk299_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1))&((~ff @ X738 @ esk302_0|(fcR @ esk300_0 @ fz|ff @ esk300_0 @ esk299_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(fcR @ esk300_0 @ fz|ff @ esk300_0 @ esk299_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1)))&(((~ff @ X738 @ esk302_0|(~ff @ X736 @ esk299_0|ff @ esk301_0 @ esk299_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(~ff @ X736 @ esk299_0|ff @ esk301_0 @ esk299_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1))&((~ff @ X738 @ esk302_0|(fcR @ esk301_0 @ fz|ff @ esk301_0 @ esk299_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(fcR @ esk301_0 @ fz|ff @ esk301_0 @ esk299_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1))))&((~ff @ X738 @ esk302_0|(~fcR @ esk300_0 @ esk301_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1)&(ff @ (esk303_1 @ X738) @ esk302_0|~fcR @ X738 @ fz|(~fcR @ esk300_0 @ esk301_0|(ff @ (esk298_1 @ X730) @ X730|~fcR @ esk297_0 @ fz))|p1)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])])])])])).
% 5.13/5.37 thf(c_0_46, plain, (p3|~p4), inference(fof_simplification,[status(thm)],[ax2261])).
% 5.13/5.37 thf(c_0_47, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_43])).
% 5.13/5.37 thf(c_0_48, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_44])).
% 5.13/5.37 thf(c_0_49, plain, ![X535:$i, X536:$i]:((~ff @ f__1 @ X535|~p21)&(ff @ (esk202_1 @ X536) @ X536|~fcR @ f__1 @ fz|~p21)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax21])])])])])])])).
% 5.13/5.37 thf(c_0_50, plain, ![X2:a]:(ff @ X2 @ (esk296_1 @ X2)|p1), inference(split_conjunct,[status(thm)],[c_0_45])).
% 5.13/5.37 thf(c_0_51, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax2263])).
% 5.13/5.37 thf(c_0_52, plain, (p3|~p4), inference(split_conjunct,[status(thm)],[c_0_46])).
% 5.13/5.37 thf(c_0_53, plain, ~p3, inference(sr,[status(thm)],[c_0_47, c_0_48])).
% 5.13/5.37 thf(c_0_54, plain, ![X1:$i]:(~ff @ f__1 @ X1|~p21), inference(split_conjunct,[status(thm)],[c_0_49])).
% 5.13/5.37 thf(c_0_55, plain, ![X2:a]:ff @ X2 @ (esk296_1 @ X2), inference(sr,[status(thm)],[c_0_50, c_0_48])).
% 5.13/5.37 thf(c_0_56, plain, (p92|~p107), inference(fof_simplification,[status(thm)],[ax2156])).
% 5.13/5.37 thf(c_0_57, plain, (p107|~p108), inference(fof_simplification,[status(thm)],[ax2155])).
% 5.13/5.37 thf(c_0_58, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_51])).
% 5.13/5.37 thf(c_0_59, plain, (~p11|p128), inference(fof_simplification,[status(thm)],[ax2135])).
% 5.13/5.37 thf(c_0_60, plain, (p4|p11), inference(split_conjunct,[status(thm)],[ax2256])).
% 5.13/5.37 thf(c_0_61, plain, ~p4, inference(sr,[status(thm)],[c_0_52, c_0_53])).
% 5.13/5.37 thf(c_0_62, plain, (~p6|~p8|~p9), inference(fof_simplification,[status(thm)],[ax2258])).
% 5.13/5.37 thf(c_0_63, plain, (p8|p21), inference(split_conjunct,[status(thm)],[ax2246])).
% 5.13/5.37 thf(c_0_64, plain, ~p21, inference(spm,[status(thm)],[c_0_54, c_0_55])).
% 5.13/5.37 thf(c_0_65, plain, (p9|~p92), inference(fof_simplification,[status(thm)],[ax2176])).
% 5.13/5.37 thf(c_0_66, plain, (p92|~p107), inference(split_conjunct,[status(thm)],[c_0_56])).
% 5.13/5.37 thf(c_0_67, plain, (p107|~p108), inference(split_conjunct,[status(thm)],[c_0_57])).
% 5.13/5.37 thf(c_0_68, plain, (~p5|p6|~p7), inference(fof_simplification,[status(thm)],[ax2259])).
% 5.13/5.37 thf(c_0_69, plain, (p3|p5), inference(split_conjunct,[status(thm)],[ax2260])).
% 5.13/5.37 thf(c_0_70, plain, ![X522:a, X524:a]:((~ff @ X522 @ f__4|~p28)&(ff @ esk196_0 @ f__4|~fcR @ X524 @ fz|~p28)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax28])])])])])])])).
% 5.13/5.37 thf(c_0_71, plain, ![X560:a]:(~p14|fcR @ X560 @ X560), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax14])])])).
% 5.13/5.37 thf(c_0_72, plain, (p2|p14), inference(split_conjunct,[status(thm)],[ax2253])).
% 5.13/5.37 thf(c_0_73, plain, ~p2, inference(sr,[status(thm)],[c_0_58, c_0_48])).
% 5.13/5.37 thf(c_0_74, plain, (~p128|p504), inference(fof_simplification,[status(thm)],[ax1516])).
% 5.13/5.37 thf(c_0_75, plain, (p128|~p11), inference(split_conjunct,[status(thm)],[c_0_59])).
% 5.13/5.37 thf(c_0_76, plain, p11, inference(sr,[status(thm)],[c_0_60, c_0_61])).
% 5.13/5.37 thf(c_0_77, plain, (~p6|~p8|~p9), inference(split_conjunct,[status(thm)],[c_0_62])).
% 5.13/5.37 thf(c_0_78, plain, p8, inference(sr,[status(thm)],[c_0_63, c_0_64])).
% 5.13/5.37 thf(c_0_79, plain, (p9|~p92), inference(split_conjunct,[status(thm)],[c_0_65])).
% 5.13/5.37 thf(c_0_80, plain, (p92|~p108), inference(spm,[status(thm)],[c_0_66, c_0_67])).
% 5.13/5.37 thf(c_0_81, plain, (p6|~p5|~p7), inference(split_conjunct,[status(thm)],[c_0_68])).
% 5.13/5.37 thf(c_0_82, plain, p5, inference(sr,[status(thm)],[c_0_69, c_0_53])).
% 5.13/5.37 thf(c_0_83, plain, ![X2:a]:(ff @ esk196_0 @ f__4|~fcR @ X2 @ fz|~p28), inference(split_conjunct,[status(thm)],[c_0_70])).
% 5.13/5.37 thf(c_0_84, plain, ![X2:a]:(~ff @ X2 @ f__4|~p28), inference(split_conjunct,[status(thm)],[c_0_70])).
% 5.13/5.37 thf(c_0_85, plain, ![X2:a]:(fcR @ X2 @ X2|~p14), inference(split_conjunct,[status(thm)],[c_0_71])).
% 5.13/5.37 thf(c_0_86, plain, p14, inference(sr,[status(thm)],[c_0_72, c_0_73])).
% 5.13/5.37 thf(c_0_87, plain, (~p504|p864), inference(fof_simplification,[status(thm)],[ax524])).
% 5.13/5.37 thf(c_0_88, plain, (p504|~p128), inference(split_conjunct,[status(thm)],[c_0_74])).
% 5.13/5.37 thf(c_0_89, plain, p128, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])])).
% 5.13/5.37 thf(c_0_90, plain, (~p6|~p9), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78])])).
% 5.13/5.37 thf(c_0_91, plain, (p9|~p108), inference(spm,[status(thm)],[c_0_79, c_0_80])).
% 5.13/5.37 thf(c_0_92, plain, (p108|~p110), inference(fof_simplification,[status(thm)],[ax2153])).
% 5.13/5.37 thf(c_0_93, plain, (p6|~p7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82])])).
% 5.13/5.37 thf(c_0_94, plain, (p7|p28), inference(split_conjunct,[status(thm)],[ax2239])).
% 5.13/5.37 thf(c_0_95, plain, ![X2:a]:(~fcR @ X2 @ fz|~p28), inference(csr,[status(thm)],[c_0_83, c_0_84])).
% 5.13/5.37 thf(c_0_96, plain, ![X2:a]:fcR @ X2 @ X2, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_86])])).
% 5.13/5.37 thf(c_0_97, plain, (~p13|p126), inference(fof_simplification,[status(thm)],[ax2137])).
% 5.13/5.37 thf(c_0_98, plain, (p2|p13), inference(split_conjunct,[status(thm)],[ax2254])).
% 5.13/5.37 thf(c_0_99, plain, (~p864|p863|p110), inference(fof_simplification,[status(thm)],[ax525])).
% 5.13/5.37 thf(c_0_100, plain, (p864|~p504), inference(split_conjunct,[status(thm)],[c_0_87])).
% 5.13/5.37 thf(c_0_101, plain, p504, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_89])])).
% 5.13/5.37 thf(c_0_102, plain, (~p6|~p108), inference(spm,[status(thm)],[c_0_90, c_0_91])).
% 5.13/5.37 thf(c_0_103, plain, (p108|~p110), inference(split_conjunct,[status(thm)],[c_0_92])).
% 5.13/5.37 thf(c_0_104, plain, (p28|p6), inference(spm,[status(thm)],[c_0_93, c_0_94])).
% 5.13/5.37 thf(c_0_105, plain, ~p28, inference(spm,[status(thm)],[c_0_95, c_0_96])).
% 5.13/5.37 thf(c_0_106, plain, (~p126|p579), inference(fof_simplification,[status(thm)],[ax1205])).
% 5.13/5.37 thf(c_0_107, plain, (p126|~p13), inference(split_conjunct,[status(thm)],[c_0_97])).
% 5.13/5.37 thf(c_0_108, plain, p13, inference(sr,[status(thm)],[c_0_98, c_0_73])).
% 5.13/5.37 thf(c_0_109, plain, (p863|p110|~p864), inference(split_conjunct,[status(thm)],[c_0_99])).
% 5.13/5.37 thf(c_0_110, plain, p864, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100, c_0_101])])).
% 5.13/5.37 thf(c_0_111, plain, (~p6|~p110), inference(spm,[status(thm)],[c_0_102, c_0_103])).
% 5.13/5.37 thf(c_0_112, plain, p6, inference(sr,[status(thm)],[c_0_104, c_0_105])).
% 5.13/5.37 thf(c_0_113, plain, (~p579|p734), inference(fof_simplification,[status(thm)],[ax985])).
% 5.13/5.37 thf(c_0_114, plain, (p579|~p126), inference(split_conjunct,[status(thm)],[c_0_106])).
% 5.13/5.37 thf(c_0_115, plain, p126, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_108])])).
% 5.13/5.37 thf(c_0_116, plain, (~p863|(~ff @ f__7 @ f__6|~ff @ f__8 @ f__6)), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax863])])).
% 5.13/5.37 thf(c_0_117, plain, (p110|p863), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109, c_0_110])])).
% 5.13/5.37 thf(c_0_118, plain, ~p110, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_112])])).
% 5.13/5.37 thf(c_0_119, plain, ![X420:a, X421:a]:((((~ff @ X420 @ f__6|ff @ f__7 @ f__6|p108)&(fcR @ f__7 @ fz|ff @ f__7 @ f__6|p108))&((~ff @ X421 @ f__6|ff @ f__8 @ f__6|p108)&(fcR @ f__8 @ fz|ff @ f__8 @ f__6|p108)))&(~fcR @ f__7 @ f__8|p108)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax108])])])])])).
% 5.13/5.37 thf(c_0_120, plain, (~p734|p733|p110), inference(fof_simplification,[status(thm)],[ax986])).
% 5.13/5.37 thf(c_0_121, plain, (p734|~p579), inference(split_conjunct,[status(thm)],[c_0_113])).
% 5.13/5.37 thf(c_0_122, plain, p579, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114, c_0_115])])).
% 5.13/5.37 thf(c_0_123, plain, ((~ff @ f__7 @ f__6|ff @ f__8 @ f__6|~p852)&(fcR @ f__8 @ fz|ff @ f__8 @ f__6|~p852)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax852])])])).
% 5.13/5.37 thf(c_0_124, plain, (~p863|~ff @ f__7 @ f__6|~ff @ f__8 @ f__6), inference(split_conjunct,[status(thm)],[c_0_116])).
% 5.13/5.37 thf(c_0_125, plain, p863, inference(sr,[status(thm)],[c_0_117, c_0_118])).
% 5.13/5.37 thf(c_0_126, plain, (~p577|(~fcR @ f__7 @ fz|~fcR @ f__7 @ fz)), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax577])])).
% 5.13/5.37 thf(c_0_127, plain, (~ff @ f__7 @ f__6|p862), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax862])])).
% 5.13/5.37 thf(c_0_128, plain, (fcR @ f__7 @ fz|ff @ f__7 @ f__6|p108), inference(split_conjunct,[status(thm)],[c_0_119])).
% 5.13/5.37 thf(c_0_129, plain, ~p108, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_112])])).
% 5.13/5.37 thf(c_0_130, plain, (p733|p110|~p734), inference(split_conjunct,[status(thm)],[c_0_120])).
% 5.13/5.37 thf(c_0_131, plain, p734, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121, c_0_122])])).
% 5.13/5.37 thf(c_0_132, plain, (ff @ f__8 @ f__6|~ff @ f__7 @ f__6|~p852), inference(split_conjunct,[status(thm)],[c_0_123])).
% 5.13/5.37 thf(c_0_133, plain, (~ff @ f__7 @ f__6|~ff @ f__8 @ f__6), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124, c_0_125])])).
% 5.13/5.37 thf(c_0_134, plain, (~p862|ff @ f__7 @ f__6), inference(fof_nnf,[status(thm)],[pax862])).
% 5.13/5.37 thf(c_0_135, plain, (~p577|~fcR @ f__7 @ fz|~fcR @ f__7 @ fz), inference(split_conjunct,[status(thm)],[c_0_126])).
% 5.13/5.37 thf(c_0_136, plain, (p862|~ff @ f__7 @ f__6), inference(split_conjunct,[status(thm)],[c_0_127])).
% 5.13/5.37 thf(c_0_137, plain, (ff @ f__7 @ f__6|fcR @ f__7 @ fz), inference(sr,[status(thm)],[c_0_128, c_0_129])).
% 5.13/5.37 thf(c_0_138, plain, (~p733|(~fcR @ f__7 @ fz|~fcR @ f__8 @ fz)), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax733])])).
% 5.13/5.37 thf(c_0_139, plain, (p733|p110), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130, c_0_131])])).
% 5.13/5.37 thf(c_0_140, plain, (~ff @ f__7 @ f__6|~p852), inference(csr,[status(thm)],[c_0_132, c_0_133])).
% 5.13/5.37 thf(c_0_141, plain, (ff @ f__7 @ f__6|~p862), inference(split_conjunct,[status(thm)],[c_0_134])).
% 5.13/5.37 thf(c_0_142, plain, (~p577|~fcR @ f__7 @ fz), inference(cn,[status(thm)],[c_0_135])).
% 5.13/5.37 thf(c_0_143, plain, (fcR @ f__7 @ fz|p862), inference(spm,[status(thm)],[c_0_136, c_0_137])).
% 5.13/5.37 thf(c_0_144, plain, (~p733|~fcR @ f__7 @ fz|~fcR @ f__8 @ fz), inference(split_conjunct,[status(thm)],[c_0_138])).
% 5.13/5.37 thf(c_0_145, plain, p733, inference(sr,[status(thm)],[c_0_139, c_0_118])).
% 5.13/5.37 thf(c_0_146, plain, ((fcR @ f__7 @ fz|p577)&(fcR @ f__7 @ fz|p577)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax577])])])).
% 5.13/5.37 thf(c_0_147, plain, (~p852|~p862), inference(spm,[status(thm)],[c_0_140, c_0_141])).
% 5.13/5.37 thf(c_0_148, plain, (p862|~p577), inference(spm,[status(thm)],[c_0_142, c_0_143])).
% 5.13/5.37 thf(c_0_149, plain, (~p835|p852), inference(fof_simplification,[status(thm)],[ax537])).
% 5.13/5.37 thf(c_0_150, plain, (~fcR @ f__7 @ fz|~fcR @ f__8 @ fz), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144, c_0_145])])).
% 5.13/5.37 thf(c_0_151, plain, (fcR @ f__7 @ fz|p577), inference(split_conjunct,[status(thm)],[c_0_146])).
% 5.13/5.37 thf(c_0_152, plain, (~p640|fcR @ f__8 @ fz), inference(fof_nnf,[status(thm)],[pax640])).
% 5.13/5.37 thf(c_0_153, plain, (~p852|~p577), inference(spm,[status(thm)],[c_0_147, c_0_148])).
% 5.13/5.37 thf(c_0_154, plain, (p852|~p835), inference(split_conjunct,[status(thm)],[c_0_149])).
% 5.13/5.37 thf(c_0_155, plain, (p577|~fcR @ f__8 @ fz), inference(spm,[status(thm)],[c_0_150, c_0_151])).
% 5.13/5.37 thf(c_0_156, plain, (fcR @ f__8 @ fz|~p640), inference(split_conjunct,[status(thm)],[c_0_152])).
% 5.13/5.37 thf(c_0_157, plain, (~p577|~p835), inference(spm,[status(thm)],[c_0_153, c_0_154])).
% 5.13/5.37 thf(c_0_158, plain, (p577|~p640), inference(spm,[status(thm)],[c_0_155, c_0_156])).
% 5.13/5.37 thf(c_0_159, plain, (~fcR @ f__8 @ fz|p640), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax640])])).
% 5.13/5.37 thf(c_0_160, plain, ((fcR @ fz @ fz|p736)&(fcR @ f__8 @ fz|p736)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax736])])])).
% 5.13/5.37 thf(c_0_161, plain, (p108|~p109), inference(fof_simplification,[status(thm)],[ax2154])).
% 5.13/5.37 thf(c_0_162, plain, (~p835|~p640), inference(spm,[status(thm)],[c_0_157, c_0_158])).
% 5.13/5.37 thf(c_0_163, plain, (p109|p835), inference(split_conjunct,[status(thm)],[ax553])).
% 5.13/5.37 thf(c_0_164, plain, (~p736|(~fcR @ fz @ fz|~fcR @ f__8 @ fz)), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax736])])).
% 5.13/5.37 thf(c_0_165, plain, (p640|~fcR @ f__8 @ fz), inference(split_conjunct,[status(thm)],[c_0_159])).
% 5.13/5.37 thf(c_0_166, plain, (fcR @ f__8 @ fz|p736), inference(split_conjunct,[status(thm)],[c_0_160])).
% 5.13/5.37 thf(c_0_167, plain, (p108|~p109), inference(split_conjunct,[status(thm)],[c_0_161])).
% 5.13/5.37 thf(c_0_168, plain, (p109|~p640), inference(spm,[status(thm)],[c_0_162, c_0_163])).
% 5.13/5.37 thf(c_0_169, plain, (~p736|~fcR @ fz @ fz|~fcR @ f__8 @ fz), inference(split_conjunct,[status(thm)],[c_0_164])).
% 5.13/5.37 thf(c_0_170, plain, (p736|p640), inference(spm,[status(thm)],[c_0_165, c_0_166])).
% 5.13/5.37 thf(c_0_171, plain, ~p640, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167, c_0_168]), c_0_129])).
% 5.13/5.37 thf(c_0_172, plain, (fcR @ f__8 @ fz|ff @ f__8 @ f__6|p108), inference(split_conjunct,[status(thm)],[c_0_119])).
% 5.13/5.37 thf(c_0_173, plain, (~fcR @ f__8 @ fz|~p736), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169, c_0_96])])).
% 5.13/5.37 thf(c_0_174, plain, p736, inference(sr,[status(thm)],[c_0_170, c_0_171])).
% 5.13/5.37 thf(c_0_175, plain, (ff @ f__8 @ f__6|fcR @ f__8 @ fz), inference(sr,[status(thm)],[c_0_172, c_0_129])).
% 5.13/5.37 thf(c_0_176, plain, ~fcR @ f__8 @ fz, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173, c_0_174])])).
% 5.13/5.37 thf(c_0_177, plain, ![X2:a]:(ff @ f__7 @ f__6|p108|~ff @ X2 @ f__6), inference(split_conjunct,[status(thm)],[c_0_119])).
% 5.13/5.37 thf(c_0_178, plain, ff @ f__8 @ f__6, inference(sr,[status(thm)],[c_0_175, c_0_176])).
% 5.13/5.37 thf(c_0_179, plain, ![X2:a]:(ff @ f__7 @ f__6|~ff @ X2 @ f__6), inference(sr,[status(thm)],[c_0_177, c_0_129])).
% 5.13/5.37 thf(c_0_180, plain, ~ff @ f__7 @ f__6, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133, c_0_178])])).
% 5.13/5.37 thf(c_0_181, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179, c_0_178]), c_0_180]), ['proof']).
% 5.13/5.37 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 5.13/5.37 thf(0,theorem,((~(((![X1:a]:(![X2:a]:(![X3:a]:((~((((cR @ X1) @ X2) => (~(((cR @ X3) @ X2)))))) => ((cR @ X1) @ X3))))) => (~((![X1:a]:((cR @ X1) @ X1))))))) => ((~(((~(((![X1:a]:(~((![X2:$i]:(~(((f @ X1) @ X2))))))) => (~((![X1:a]:(![X2:$i]:(![X3:$i]:((~((((f @ X1) @ X2) => (~(((f @ X1) @ X3)))))) => ((cS @ X2) @ X3)))))))))) => (~((![X1:a]:(![X2:a]:(![X3:$i]:((~((((f @ X1) @ X3) => (~(((f @ X2) @ X3)))))) => ((cR @ X1) @ X2)))))))))) => (~(((~(((![X1:a]:(~((![X2:$i]:(~((![X3:a]:((~(((f @ X1) @ X2))) => (~(((~(((f @ X3) @ X2))) => (~(((cR @ X1) @ z)))))))))))))) => (~((![X1:$i]:(![X2:a]:(![X3:a]:((~(((![X4:a]:((~(((f @ X2) @ X1))) => (~(((~(((f @ X4) @ X1))) => (~(((cR @ X2) @ z)))))))) => (~((![X4:a]:((~(((f @ X3) @ X1))) => (~(((~(((f @ X4) @ X1))) => (~(((cR @ X3) @ z))))))))))))) => ((cR @ X2) @ X3)))))))))) => (~((![X1:$i]:(~((![X2:a]:(~((![X3:a]:((~(((f @ X2) @ X1))) => (~(((~(((f @ X3) @ X1))) => (~(((cR @ X2) @ z))))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 5.13/5.37 % SZS output end Proof
%------------------------------------------------------------------------------