%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL715^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:02:29 PM UTC 2026
% Result : Theorem 20.16s 20.46s
% Output : Proof 20.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL715^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.03 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 20:58:32 UTC 2026
% 0.14/0.36 % CPUTime :
% 20.16/20.46 % SZS status Theorem
% 20.16/20.46 % Mode: mode485
% 20.16/20.46 % Inferences: 522
% 20.16/20.46 % SZS output start Proof
% 20.16/20.46 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 20.16/20.46 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 20.16/20.46 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 20.16/20.46 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 20.16/20.46 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 20.16/20.46 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 20.16/20.46 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 20.16/20.46 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 20.16/20.46 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 20.16/20.46 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 20.16/20.46 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 20.16/20.46 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 20.16/20.46 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 20.16/20.46 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 20.16/20.46 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 20.16/20.46 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 20.16/20.46 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 20.16/20.46 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 20.16/20.46 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 20.16/20.46 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 20.16/20.46 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 20.16/20.46 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 20.16/20.46 thf(def_mpartially_functional,definition,(mpartially_functional = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (X3 = X4)))))))).
% 20.16/20.46 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 20.16/20.46 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 20.16/20.46 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 20.16/20.46 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 20.16/20.46 thf(def_mvalid,definition,(mvalid = (!!))).
% 20.16/20.46 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 20.16/20.46 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 20.16/20.46 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 20.16/20.46 thf(conj,conjecture,(![X1:$i>$i>$o]:((![X2:$i]:(![X3:$i>$o]:(~(((~((~(((~((~((~((![X4:$i]:(((X1 @ X2) @ X4) => (~((X3 @ X4))))))))))) => (![X4:$i]:(((X1 @ X2) @ X4) => (X3 @ X4)))))))) => (~(((~((~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 @ X4))))))) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (~((X3 @ X4))))))))))))))) => (![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 20.16/20.46 thf(h0,negated_conjecture,(~((![X1:$i>$i>$o]:((![X2:$i]:(![X3:$i>$o]:(~((((~((![X4:$i]:(((X1 @ X2) @ X4) => (~((X3 @ X4))))))) => (![X4:$i]:(((X1 @ X2) @ X4) => (X3 @ X4)))) => (~(((![X4:$i]:(((X1 @ X2) @ X4) => (X3 @ X4))) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (~((X3 @ X4))))))))))))))) => (![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4)))))))))))))),inference(assume_negation,[status(cth)],[conj])).
% 20.16/20.46 thf(ax1209, axiom, (p1|~(p2)), file('<stdin>', ax1209)).
% 20.16/20.46 thf(ax1210, axiom, ~(p1), file('<stdin>', ax1210)).
% 20.16/20.46 thf(ax1203, axiom, (~(p3)|p8), file('<stdin>', ax1203)).
% 20.16/20.46 thf(ax1208, axiom, (p2|p3), file('<stdin>', ax1208)).
% 20.16/20.46 thf(ax1207, axiom, (p2|~(p4)), file('<stdin>', ax1207)).
% 20.16/20.46 thf(pax979, axiom, (p979=>![X1:$i]:(f__0 @ f__1 @ X1=>~((f__3)=(X1)))), file('<stdin>', pax979)).
% 20.16/20.46 thf(ax1033, axiom, (~(p8)|~(p156)), file('<stdin>', ax1033)).
% 20.16/20.46 thf(nax42, axiom, (p42<=(f__0 @ f__1 @ f__3=>(f__1)=(f__3))), file('<stdin>', nax42)).
% 20.16/20.46 thf(ax1066, axiom, (~(p5)|p124), file('<stdin>', ax1066)).
% 20.16/20.46 thf(ax1206, axiom, (p4|p5), file('<stdin>', ax1206)).
% 20.16/20.46 thf(ax1171, axiom, (p15|~(p42)), file('<stdin>', ax1171)).
% 20.16/20.46 thf(ax53, axiom, (~(p385)|p979|p123), file('<stdin>', ax53)).
% 20.16/20.46 thf(ax764, axiom, (p156|p385), file('<stdin>', ax764)).
% 20.16/20.46 thf(ax1204, axiom, (~(p5)|p7), file('<stdin>', ax1204)).
% 20.16/20.46 thf(ax1067, axiom, (~(p124)|~(p84)|~(p123)), file('<stdin>', ax1067)).
% 20.16/20.46 thf(ax1197, axiom, (~(p7)|~(p14)|~(p15)), file('<stdin>', ax1197)).
% 20.16/20.46 thf(ax1125, axiom, (p42|p84), file('<stdin>', ax1125)).
% 20.16/20.46 thf(ax865, axiom, (p119|~(p290)), file('<stdin>', ax865)).
% 20.16/20.46 thf(ax1179, axiom, (~(p8)|~(p34)), file('<stdin>', ax1179)).
% 20.16/20.46 thf(ax244, axiom, (p290|p14), file('<stdin>', ax244)).
% 20.16/20.46 thf(pax15, axiom, (p15=>![X1:$i]:(f__0 @ f__1 @ X1=>(f__1)=(X1))), file('<stdin>', pax15)).
% 20.16/20.46 thf(nax34, axiom, (p34<=((~(![X1:$i]:(f__0 @ f__1 @ X1=>~(f__0 @ f__1 @ X1)))=>![X1:$i]:(f__0 @ f__1 @ X1=>f__0 @ f__1 @ X1))=>~((![X1:$i]:(f__0 @ f__1 @ X1=>f__0 @ f__1 @ X1)=>~(![X1:$i]:(f__0 @ f__1 @ X1=>~(f__0 @ f__1 @ X1))))))), file('<stdin>', nax34)).
% 20.16/20.46 thf(pax173, axiom, (p173=>(f__0 @ f__1 @ f__1=>~(f__0 @ f__1 @ f__1))), file('<stdin>', pax173)).
% 20.16/20.46 thf(ax874, axiom, (~(p119)|p173), file('<stdin>', ax874)).
% 20.16/20.46 thf(c_0_24, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax1209])).
% 20.16/20.46 thf(c_0_25, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1210])).
% 20.16/20.46 thf(c_0_26, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_24])).
% 20.16/20.46 thf(c_0_27, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_25])).
% 20.16/20.46 thf(c_0_28, plain, (~p3|p8), inference(fof_simplification,[status(thm)],[ax1203])).
% 20.16/20.46 thf(c_0_29, plain, (p2|p3), inference(split_conjunct,[status(thm)],[ax1208])).
% 20.16/20.46 thf(c_0_30, plain, ~p2, inference(sr,[status(thm)],[c_0_26, c_0_27])).
% 20.16/20.46 thf(c_0_31, plain, (p2|~p4), inference(fof_simplification,[status(thm)],[ax1207])).
% 20.16/20.46 thf(c_0_32, plain, ![X88:$i]:(~p979|(~f__0 @ f__1 @ X88|(f__3)!=(X88))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax979])])])])).
% 20.16/20.46 thf(c_0_33, plain, (~p8|~p156), inference(fof_simplification,[status(thm)],[ax1033])).
% 20.16/20.46 thf(c_0_34, plain, (p8|~p3), inference(split_conjunct,[status(thm)],[c_0_28])).
% 20.16/20.46 thf(c_0_35, plain, p3, inference(sr,[status(thm)],[c_0_29, c_0_30])).
% 20.16/20.46 thf(c_0_36, plain, (p2|~p4), inference(split_conjunct,[status(thm)],[c_0_31])).
% 20.16/20.46 thf(c_0_37, plain, ![X1:$i]:(~p979|~f__0 @ f__1 @ X1|(f__3)!=(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
% 20.16/20.46 thf(c_0_38, plain, ((f__0 @ f__1 @ f__3|p42)&((f__1)!=(f__3)|p42)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax42])])])).
% 20.16/20.46 thf(c_0_39, plain, (~p8|~p156), inference(split_conjunct,[status(thm)],[c_0_33])).
% 20.16/20.46 thf(c_0_40, plain, p8, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 20.16/20.46 thf(c_0_41, plain, (~p5|p124), inference(fof_simplification,[status(thm)],[ax1066])).
% 20.16/20.46 thf(c_0_42, plain, (p4|p5), inference(split_conjunct,[status(thm)],[ax1206])).
% 20.16/20.46 thf(c_0_43, plain, ~p4, inference(sr,[status(thm)],[c_0_36, c_0_30])).
% 20.16/20.46 thf(c_0_44, plain, (p15|~p42), inference(fof_simplification,[status(thm)],[ax1171])).
% 20.16/20.46 thf(c_0_45, plain, (~f__0 @ f__1 @ f__3|~p979), inference(er,[status(thm)],[c_0_37])).
% 20.16/20.46 thf(c_0_46, plain, (f__0 @ f__1 @ f__3|p42), inference(split_conjunct,[status(thm)],[c_0_38])).
% 20.16/20.46 thf(c_0_47, plain, (~p385|p979|p123), inference(fof_simplification,[status(thm)],[ax53])).
% 20.16/20.46 thf(c_0_48, plain, (p156|p385), inference(split_conjunct,[status(thm)],[ax764])).
% 20.16/20.46 thf(c_0_49, plain, ~p156, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 20.16/20.46 thf(c_0_50, plain, (~p5|p7), inference(fof_simplification,[status(thm)],[ax1204])).
% 20.16/20.46 thf(c_0_51, plain, (~p124|~p84|~p123), inference(fof_simplification,[status(thm)],[ax1067])).
% 20.16/20.46 thf(c_0_52, plain, (p124|~p5), inference(split_conjunct,[status(thm)],[c_0_41])).
% 20.16/20.46 thf(c_0_53, plain, p5, inference(sr,[status(thm)],[c_0_42, c_0_43])).
% 20.16/20.46 thf(c_0_54, plain, (p15|~p42), inference(split_conjunct,[status(thm)],[c_0_44])).
% 20.16/20.46 thf(c_0_55, plain, (p42|~p979), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 20.16/20.46 thf(c_0_56, plain, (p979|p123|~p385), inference(split_conjunct,[status(thm)],[c_0_47])).
% 20.16/20.46 thf(c_0_57, plain, p385, inference(sr,[status(thm)],[c_0_48, c_0_49])).
% 20.16/20.46 thf(c_0_58, plain, (~p7|~p14|~p15), inference(fof_simplification,[status(thm)],[ax1197])).
% 20.16/20.46 thf(c_0_59, plain, (p7|~p5), inference(split_conjunct,[status(thm)],[c_0_50])).
% 20.16/20.46 thf(c_0_60, plain, (~p124|~p84|~p123), inference(split_conjunct,[status(thm)],[c_0_51])).
% 20.16/20.46 thf(c_0_61, plain, p124, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53])])).
% 20.16/20.46 thf(c_0_62, plain, (p15|~p979), inference(spm,[status(thm)],[c_0_54, c_0_55])).
% 20.16/20.46 thf(c_0_63, plain, (p979|p123), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
% 20.16/20.46 thf(c_0_64, plain, (p42|p84), inference(split_conjunct,[status(thm)],[ax1125])).
% 20.16/20.46 thf(c_0_65, plain, (p119|~p290), inference(fof_simplification,[status(thm)],[ax865])).
% 20.16/20.46 thf(c_0_66, plain, (~p7|~p14|~p15), inference(split_conjunct,[status(thm)],[c_0_58])).
% 20.16/20.46 thf(c_0_67, plain, p7, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_53])])).
% 20.16/20.46 thf(c_0_68, plain, (~p84|~p123), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])])).
% 20.16/20.46 thf(c_0_69, plain, (p123|p15), inference(spm,[status(thm)],[c_0_62, c_0_63])).
% 20.16/20.46 thf(c_0_70, plain, (p84|p15), inference(spm,[status(thm)],[c_0_54, c_0_64])).
% 20.16/20.46 thf(c_0_71, plain, (~p8|~p34), inference(fof_simplification,[status(thm)],[ax1179])).
% 20.16/20.46 thf(c_0_72, plain, (p119|~p290), inference(split_conjunct,[status(thm)],[c_0_65])).
% 20.16/20.46 thf(c_0_73, plain, (p290|p14), inference(split_conjunct,[status(thm)],[ax244])).
% 20.16/20.46 thf(c_0_74, plain, (~p14|~p15), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])])).
% 20.16/20.46 thf(c_0_75, plain, p15, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])).
% 20.16/20.46 thf(c_0_76, plain, ![X4188:$i]:(~p15|(~f__0 @ f__1 @ X4188|(f__1)=(X4188))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax15])])])).
% 20.16/20.46 thf(c_0_77, plain, ((f__0 @ f__1 @ esk2043_0|p34)&(f__0 @ f__1 @ esk2043_0|p34)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax34])])])])])).
% 20.16/20.46 thf(c_0_78, plain, (~p8|~p34), inference(split_conjunct,[status(thm)],[c_0_71])).
% 20.16/20.46 thf(c_0_79, plain, (~p173|(~f__0 @ f__1 @ f__1|~f__0 @ f__1 @ f__1)), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax173])])).
% 20.16/20.46 thf(c_0_80, plain, (~p119|p173), inference(fof_simplification,[status(thm)],[ax874])).
% 20.16/20.46 thf(c_0_81, plain, (p14|p119), inference(spm,[status(thm)],[c_0_72, c_0_73])).
% 20.16/20.46 thf(c_0_82, plain, ~p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75])])).
% 20.16/20.46 thf(c_0_83, plain, ![X1:$i]:((f__1)=(X1)|~p15|~f__0 @ f__1 @ X1), inference(split_conjunct,[status(thm)],[c_0_76])).
% 20.16/20.46 thf(c_0_84, plain, (f__0 @ f__1 @ esk2043_0|p34), inference(split_conjunct,[status(thm)],[c_0_77])).
% 20.16/20.46 thf(c_0_85, plain, ~p34, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_40])])).
% 20.16/20.46 thf(c_0_86, plain, (~p173|~f__0 @ f__1 @ f__1|~f__0 @ f__1 @ f__1), inference(split_conjunct,[status(thm)],[c_0_79])).
% 20.16/20.46 thf(c_0_87, plain, (p173|~p119), inference(split_conjunct,[status(thm)],[c_0_80])).
% 20.16/20.46 thf(c_0_88, plain, p119, inference(sr,[status(thm)],[c_0_81, c_0_82])).
% 20.16/20.46 thf(c_0_89, plain, ![X1:$i]:((f__1)=(X1)|~f__0 @ f__1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_75])])).
% 20.16/20.46 thf(c_0_90, plain, f__0 @ f__1 @ esk2043_0, inference(sr,[status(thm)],[c_0_84, c_0_85])).
% 20.16/20.46 thf(c_0_91, plain, (~p173|~f__0 @ f__1 @ f__1), inference(cn,[status(thm)],[c_0_86])).
% 20.16/20.46 thf(c_0_92, plain, p173, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_88])])).
% 20.16/20.46 thf(c_0_93, plain, (esk2043_0)=(f__1), inference(spm,[status(thm)],[c_0_89, c_0_90])).
% 20.16/20.46 thf(c_0_94, plain, ~f__0 @ f__1 @ f__1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91, c_0_92])])).
% 20.16/20.46 thf(c_0_95, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_93]), c_0_94]), ['proof']).
% 20.16/20.46 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 20.16/20.46 thf(0,theorem,(![X1:$i>$i>$o]:((![X2:$i]:(![X3:$i>$o]:(~(((~((~(((~((~((~((![X4:$i]:(((X1 @ X2) @ X4) => (~((X3 @ X4))))))))))) => (![X4:$i]:(((X1 @ X2) @ X4) => (X3 @ X4)))))))) => (~(((~((~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 @ X4))))))) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (~((X3 @ X4))))))))))))))) => (![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4)))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 20.16/20.46 % SZS output end Proof
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