TSTP Solution File: LCL880^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL880^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n015.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 : Sun Jul 17 14:11:47 EDT 2022
% Result : Theorem 78.09s 78.19s
% Output : Proof 78.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL880^1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 4 13:24:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 78.09/78.19 % SZS status Theorem
% 78.09/78.19 % Mode: mode484
% 78.09/78.19 % Inferences: 9293
% 78.09/78.19 % SZS output start Proof
% 78.09/78.19 thf(ty_eigen__2, type, eigen__2 : $i).
% 78.09/78.19 thf(ty_eigen__46, type, eigen__46 : $i).
% 78.09/78.19 thf(ty_eigen__44, type, eigen__44 : $i).
% 78.09/78.19 thf(ty_eigen__1, type, eigen__1 : ($i>$i>$o)).
% 78.09/78.19 thf(ty_eigen__47, type, eigen__47 : $i).
% 78.09/78.19 thf(ty_eigen__45, type, eigen__45 : ($i>$o)).
% 78.09/78.19 thf(ty_eigen__0, type, eigen__0 : ($i>$i>$o)).
% 78.09/78.19 thf(ty_eigen__4, type, eigen__4 : $i).
% 78.09/78.19 thf(ty_eigen__3, type, eigen__3 : $i).
% 78.09/78.19 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 78.09/78.19 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 78.09/78.19 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 78.09/78.19 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 78.09/78.19 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 78.09/78.19 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 78.09/78.19 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 78.09/78.19 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 78.09/78.19 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 78.09/78.19 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 78.09/78.19 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 78.09/78.19 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 78.09/78.19 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 78.09/78.19 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 78.09/78.19 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 78.09/78.19 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 78.09/78.19 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 78.09/78.19 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 78.09/78.19 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 78.09/78.19 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 78.09/78.19 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 78.09/78.19 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 78.09/78.19 thf(def_mpartially_functional,definition,(mpartially_functional = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (X3 = X4)))))))).
% 78.09/78.19 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 78.09/78.19 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 78.09/78.19 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))))))))).
% 78.09/78.19 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 78.09/78.19 thf(def_mvalid,definition,(mvalid = (!!))).
% 78.09/78.19 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 78.09/78.19 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 78.09/78.19 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 78.09/78.19 thf(conj,conjecture,(![X1:$i>$i>$o]:(![X2:$i>$i>$o]:((![X3:$i]:(![X4:$i>$o]:((~((~((~((![X5:$i]:(((X1 @ X3) @ X5) => (X4 @ X5))))))))) => (![X5:$i]:(((X2 @ X3) @ X5) => (~((![X6:$i]:(((X1 @ X5) @ X6) => (X4 @ X6)))))))))) = (![X3:$i]:(![X4:$i]:(![X5:$i]:((~((((X2 @ X3) @ X4) => (~(((X1 @ X3) @ X5)))))) => ((X1 @ X4) @ X5))))))))).
% 78.09/78.19 thf(h0,negated_conjecture,(~((![X1:$i>$i>$o]:(![X2:$i>$i>$o]:((![X3:$i]:(![X4:$i>$o]:((~((![X5:$i]:(((X1 @ X3) @ X5) => (X4 @ X5))))) => (![X5:$i]:(((X2 @ X3) @ X5) => (~((![X6:$i]:(((X1 @ X5) @ X6) => (X4 @ X6)))))))))) = (![X3:$i]:(![X4:$i]:(![X5:$i]:((~((((X2 @ X3) @ X4) => (~(((X1 @ X3) @ X5)))))) => ((X1 @ X4) @ X5)))))))))),inference(assume_negation,[status(cth)],[conj])).
% 78.09/78.19 thf(h1,assumption,(~((![X1:$i>$i>$o]:((![X2:$i]:(![X3:$i>$o]:((~((![X4:$i]:(((eigen__0 @ X2) @ X4) => (X3 @ X4))))) => (![X4:$i]:(((X1 @ X2) @ X4) => (~((![X5:$i]:(((eigen__0 @ X4) @ X5) => (X3 @ X5)))))))))) = (![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((eigen__0 @ X2) @ X4)))))) => ((eigen__0 @ X3) @ X4))))))))),introduced(assumption,[])).
% 78.09/78.19 thf(h2,assumption,(~(((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((eigen__0 @ X1) @ X3) => (X2 @ X3))))) => (![X3:$i]:(((eigen__1 @ X1) @ X3) => (~((![X4:$i]:(((eigen__0 @ X3) @ X4) => (X2 @ X4)))))))))) = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((eigen__1 @ X1) @ X2) => (~(((eigen__0 @ X1) @ X3)))))) => ((eigen__0 @ X2) @ X3)))))))),introduced(assumption,[])).
% 78.09/78.19 thf(h3,assumption,(![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((eigen__0 @ X1) @ X3) => (X2 @ X3))))) => (![X3:$i]:(((eigen__1 @ X1) @ X3) => (~((![X4:$i]:(((eigen__0 @ X3) @ X4) => (X2 @ X4)))))))))),introduced(assumption,[])).
% 78.09/78.19 thf(h4,assumption,(![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((eigen__1 @ X1) @ X2) => (~(((eigen__0 @ X1) @ X3)))))) => ((eigen__0 @ X2) @ X3))))),introduced(assumption,[])).
% 78.09/78.19 thf(h5,assumption,(~((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((eigen__0 @ X1) @ X3) => (X2 @ X3))))) => (![X3:$i]:(((eigen__1 @ X1) @ X3) => (~((![X4:$i]:(((eigen__0 @ X3) @ X4) => (X2 @ X4)))))))))))),introduced(assumption,[])).
% 78.09/78.19 thf(h6,assumption,(~((![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((eigen__1 @ X1) @ X2) => (~(((eigen__0 @ X1) @ X3)))))) => ((eigen__0 @ X2) @ X3))))))),introduced(assumption,[])).
% 78.09/78.19 thf(h7,assumption,(~((![X1:$i]:(![X2:$i]:((~((((eigen__1 @ eigen__2) @ X1) => (~(((eigen__0 @ eigen__2) @ X2)))))) => ((eigen__0 @ X1) @ X2)))))),introduced(assumption,[])).
% 78.09/78.19 thf(h8,assumption,(~((![X1:$i]:((~((((eigen__1 @ eigen__2) @ eigen__3) => (~(((eigen__0 @ eigen__2) @ X1)))))) => ((eigen__0 @ eigen__3) @ X1))))),introduced(assumption,[])).
% 78.09/78.19 thf(h9,assumption,(~(((~((((eigen__1 @ eigen__2) @ eigen__3) => (~(((eigen__0 @ eigen__2) @ eigen__4)))))) => ((eigen__0 @ eigen__3) @ eigen__4)))),introduced(assumption,[])).
% 78.09/78.19 thf(h10,assumption,(~((((eigen__1 @ eigen__2) @ eigen__3) => (~(((eigen__0 @ eigen__2) @ eigen__4)))))),introduced(assumption,[])).
% 78.09/78.19 thf(h11,assumption,(~(((eigen__0 @ eigen__3) @ eigen__4))),introduced(assumption,[])).
% 78.09/78.19 thf(h12,assumption,((eigen__1 @ eigen__2) @ eigen__3),introduced(assumption,[])).
% 78.09/78.19 thf(h13,assumption,((eigen__0 @ eigen__2) @ eigen__4),introduced(assumption,[])).
% 78.09/78.19 thf(ax4096, axiom, (~(p4)|p7), file('<stdin>', ax4096)).
% 78.09/78.19 thf(ax3841, axiom, (~(p138)|~(p3)|~(p58)), file('<stdin>', ax3841)).
% 78.09/78.19 thf(nax58, axiom, (p58<=![X1:$i]:(f__0 @ f__3 @ X1=>f__0 @ f__3 @ X1)), file('<stdin>', nax58)).
% 78.09/78.19 thf(ax4076, axiom, (~(p7)|p26), file('<stdin>', ax4076)).
% 78.09/78.19 thf(ax4099, axiom, p4, file('<stdin>', ax4099)).
% 78.09/78.19 thf(ax3948, axiom, (~(p79)|p138), file('<stdin>', ax3948)).
% 78.09/78.19 thf(ax4100, axiom, p3, file('<stdin>', ax4100)).
% 78.09/78.19 thf(ax4034, axiom, (~(p26)|p78|p79), file('<stdin>', ax4034)).
% 78.09/78.19 thf(ax3946, axiom, (~(p80)|~(p2)|p1), file('<stdin>', ax3946)).
% 78.09/78.19 thf(ax4102, axiom, ~(p1), file('<stdin>', ax4102)).
% 78.09/78.19 thf(ax4033, axiom, (~(p78)|p80), file('<stdin>', ax4033)).
% 78.09/78.19 thf(ax4101, axiom, p2, file('<stdin>', ax4101)).
% 78.09/78.19 thf(c_0_12, plain, (~p4|p7), inference(fof_simplification,[status(thm)],[ax4096])).
% 78.09/78.19 thf(c_0_13, plain, (~p138|~p3|~p58), inference(fof_simplification,[status(thm)],[ax3841])).
% 78.09/78.19 thf(c_0_14, plain, p58, inference(fof_simplification,[status(thm)],[nax58])).
% 78.09/78.19 thf(c_0_15, plain, (~p7|p26), inference(fof_simplification,[status(thm)],[ax4076])).
% 78.09/78.19 thf(c_0_16, plain, (p7|~p4), inference(split_conjunct,[status(thm)],[c_0_12])).
% 78.09/78.19 thf(c_0_17, plain, p4, inference(split_conjunct,[status(thm)],[ax4099])).
% 78.09/78.19 thf(c_0_18, plain, (~p79|p138), inference(fof_simplification,[status(thm)],[ax3948])).
% 78.09/78.19 thf(c_0_19, plain, (~p138|~p3|~p58), inference(split_conjunct,[status(thm)],[c_0_13])).
% 78.09/78.19 thf(c_0_20, plain, p3, inference(split_conjunct,[status(thm)],[ax4100])).
% 78.09/78.19 thf(c_0_21, plain, p58, inference(split_conjunct,[status(thm)],[c_0_14])).
% 78.09/78.19 thf(c_0_22, plain, (~p26|p78|p79), inference(fof_simplification,[status(thm)],[ax4034])).
% 78.09/78.19 thf(c_0_23, plain, (p26|~p7), inference(split_conjunct,[status(thm)],[c_0_15])).
% 78.09/78.19 thf(c_0_24, plain, p7, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 78.09/78.19 thf(c_0_25, plain, (p138|~p79), inference(split_conjunct,[status(thm)],[c_0_18])).
% 78.09/78.19 thf(c_0_26, plain, ~p138, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20]), c_0_21])])).
% 78.09/78.19 thf(c_0_27, plain, (~p80|~p2|p1), inference(fof_simplification,[status(thm)],[ax3946])).
% 78.09/78.19 thf(c_0_28, plain, ~p1, inference(fof_simplification,[status(thm)],[ax4102])).
% 78.09/78.19 thf(c_0_29, plain, (~p78|p80), inference(fof_simplification,[status(thm)],[ax4033])).
% 78.09/78.19 thf(c_0_30, plain, (p78|p79|~p26), inference(split_conjunct,[status(thm)],[c_0_22])).
% 78.09/78.19 thf(c_0_31, plain, p26, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 78.09/78.19 thf(c_0_32, plain, ~p79, inference(sr,[status(thm)],[c_0_25, c_0_26])).
% 78.09/78.19 thf(c_0_33, plain, (p1|~p80|~p2), inference(split_conjunct,[status(thm)],[c_0_27])).
% 78.09/78.19 thf(c_0_34, plain, p2, inference(split_conjunct,[status(thm)],[ax4101])).
% 78.09/78.19 thf(c_0_35, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_28])).
% 78.09/78.19 thf(c_0_36, plain, (p80|~p78), inference(split_conjunct,[status(thm)],[c_0_29])).
% 78.09/78.19 thf(c_0_37, plain, p78, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])]), c_0_32])).
% 78.09/78.19 thf(c_0_38, plain, ~p80, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])]), c_0_35])).
% 78.09/78.19 thf(c_0_39, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])]), c_0_38]), ['proof']).
% 78.09/78.19 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h12,h13,h10,h11,h9,h8,h7,h3,h4,h2,h1,h0])],[])).
% 78.09/78.19 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h10,h11,h9,h8,h7,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h12,h13])],[h10,1,h12,h13])).
% 78.09/78.19 thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h9,h8,h7,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h10,h11])],[h9,2,h10,h11])).
% 78.09/78.19 thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h8,h7,h3,h4,h2,h1,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__4)],[h8,3,h9])).
% 78.09/78.19 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h7,h3,h4,h2,h1,h0]),tab_negall(discharge,[h8]),tab_negall(eigenvar,eigen__3)],[h7,4,h8])).
% 78.09/78.19 thf(6,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__2)],[h4,5,h7])).
% 78.09/78.19 thf(h14,assumption,(~((![X1:$i>$o]:((~((![X2:$i]:(((eigen__0 @ eigen__44) @ X2) => (X1 @ X2))))) => (![X2:$i]:(((eigen__1 @ eigen__44) @ X2) => (~((![X3:$i]:(((eigen__0 @ X2) @ X3) => (X1 @ X3))))))))))),introduced(assumption,[])).
% 78.09/78.19 thf(h15,assumption,(~(((~((![X1:$i]:(((eigen__0 @ eigen__44) @ X1) => (eigen__45 @ X1))))) => (![X1:$i]:(((eigen__1 @ eigen__44) @ X1) => (~((![X2:$i]:(((eigen__0 @ X1) @ X2) => (eigen__45 @ X2)))))))))),introduced(assumption,[])).
% 78.09/78.19 thf(h16,assumption,(~((![X1:$i]:(((eigen__0 @ eigen__44) @ X1) => (eigen__45 @ X1))))),introduced(assumption,[])).
% 78.09/78.19 thf(h17,assumption,(~((![X1:$i]:(((eigen__1 @ eigen__44) @ X1) => (~((![X2:$i]:(((eigen__0 @ X1) @ X2) => (eigen__45 @ X2))))))))),introduced(assumption,[])).
% 78.09/78.19 thf(h18,assumption,(~((((eigen__0 @ eigen__44) @ eigen__46) => (eigen__45 @ eigen__46)))),introduced(assumption,[])).
% 78.09/78.19 thf(h19,assumption,((eigen__0 @ eigen__44) @ eigen__46),introduced(assumption,[])).
% 78.09/78.19 thf(h20,assumption,(~((eigen__45 @ eigen__46))),introduced(assumption,[])).
% 78.09/78.19 thf(h21,assumption,(~((((eigen__1 @ eigen__44) @ eigen__47) => (~((![X1:$i]:(((eigen__0 @ eigen__47) @ X1) => (eigen__45 @ X1)))))))),introduced(assumption,[])).
% 78.09/78.19 thf(h22,assumption,((eigen__1 @ eigen__44) @ eigen__47),introduced(assumption,[])).
% 78.09/78.19 thf(h23,assumption,(![X1:$i]:(((eigen__0 @ eigen__47) @ X1) => (eigen__45 @ X1))),introduced(assumption,[])).
% 78.09/78.19 thf(ax1004, axiom, (~(p1225)|p1231), file('<stdin>', ax1004)).
% 78.09/78.19 thf(ax992, axiom, (~(p1226)|p1243), file('<stdin>', ax992)).
% 78.09/78.19 thf(ax964, axiom, (~(p1231)|p1271), file('<stdin>', ax964)).
% 78.09/78.19 thf(ax1010, axiom, p1225, file('<stdin>', ax1010)).
% 78.09/78.19 thf(ax810, axiom, (~(p1243)|~(p1425)|p1228), file('<stdin>', ax810)).
% 78.09/78.19 thf(ax1009, axiom, p1226, file('<stdin>', ax1009)).
% 78.09/78.19 thf(ax1007, axiom, ~(p1228), file('<stdin>', ax1007)).
% 78.09/78.19 thf(ax515, axiom, (~(p1271)|p1708), file('<stdin>', ax515)).
% 78.09/78.19 thf(pax1227, axiom, (p1227=>f__1 @ f__44 @ f__47), file('<stdin>', pax1227)).
% 78.09/78.19 thf(pax1229, axiom, (p1229=>f__0 @ f__44 @ f__46), file('<stdin>', pax1229)).
% 78.09/78.19 thf(nax1425, axiom, (p1425<=f__0 @ f__47 @ f__46), file('<stdin>', nax1425)).
% 78.09/78.19 thf(pax1708, axiom, (p1708=>(~((f__1 @ f__44 @ f__47=>~(f__0 @ f__44 @ f__46)))=>f__0 @ f__47 @ f__46)), file('<stdin>', pax1708)).
% 78.09/78.19 thf(ax1008, axiom, p1227, file('<stdin>', ax1008)).
% 78.09/78.19 thf(ax1006, axiom, p1229, file('<stdin>', ax1006)).
% 78.09/78.19 thf(c_0_14, plain, (~p1225|p1231), inference(fof_simplification,[status(thm)],[ax1004])).
% 78.09/78.19 thf(c_0_15, plain, (~p1226|p1243), inference(fof_simplification,[status(thm)],[ax992])).
% 78.09/78.19 thf(c_0_16, plain, (~p1231|p1271), inference(fof_simplification,[status(thm)],[ax964])).
% 78.09/78.19 thf(c_0_17, plain, (p1231|~p1225), inference(split_conjunct,[status(thm)],[c_0_14])).
% 78.09/78.19 thf(c_0_18, plain, p1225, inference(split_conjunct,[status(thm)],[ax1010])).
% 78.09/78.19 thf(c_0_19, plain, (~p1243|~p1425|p1228), inference(fof_simplification,[status(thm)],[ax810])).
% 78.09/78.19 thf(c_0_20, plain, (p1243|~p1226), inference(split_conjunct,[status(thm)],[c_0_15])).
% 78.09/78.19 thf(c_0_21, plain, p1226, inference(split_conjunct,[status(thm)],[ax1009])).
% 78.09/78.19 thf(c_0_22, plain, ~p1228, inference(fof_simplification,[status(thm)],[ax1007])).
% 78.09/78.19 thf(c_0_23, plain, (~p1271|p1708), inference(fof_simplification,[status(thm)],[ax515])).
% 78.09/78.19 thf(c_0_24, plain, (p1271|~p1231), inference(split_conjunct,[status(thm)],[c_0_16])).
% 78.09/78.19 thf(c_0_25, plain, p1231, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 78.09/78.19 thf(c_0_26, plain, (~p1227|f__1 @ f__44 @ f__47), inference(fof_nnf,[status(thm)],[pax1227])).
% 78.09/78.19 thf(c_0_27, plain, (~p1229|f__0 @ f__44 @ f__46), inference(fof_nnf,[status(thm)],[pax1229])).
% 78.09/78.19 thf(c_0_28, plain, (~f__0 @ f__47 @ f__46|p1425), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1425])])).
% 78.09/78.19 thf(c_0_29, plain, (p1228|~p1243|~p1425), inference(split_conjunct,[status(thm)],[c_0_19])).
% 78.09/78.19 thf(c_0_30, plain, p1243, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 78.09/78.19 thf(c_0_31, plain, ~p1228, inference(split_conjunct,[status(thm)],[c_0_22])).
% 78.09/78.19 thf(c_0_32, plain, (~p1708|(~f__1 @ f__44 @ f__47|~f__0 @ f__44 @ f__46|f__0 @ f__47 @ f__46)), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1708])])).
% 78.09/78.19 thf(c_0_33, plain, (p1708|~p1271), inference(split_conjunct,[status(thm)],[c_0_23])).
% 78.09/78.19 thf(c_0_34, plain, p1271, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 78.09/78.19 thf(c_0_35, plain, (f__1 @ f__44 @ f__47|~p1227), inference(split_conjunct,[status(thm)],[c_0_26])).
% 78.09/78.19 thf(c_0_36, plain, p1227, inference(split_conjunct,[status(thm)],[ax1008])).
% 78.09/78.19 thf(c_0_37, plain, (f__0 @ f__44 @ f__46|~p1229), inference(split_conjunct,[status(thm)],[c_0_27])).
% 78.09/78.19 thf(c_0_38, plain, p1229, inference(split_conjunct,[status(thm)],[ax1006])).
% 78.09/78.19 thf(c_0_39, plain, (p1425|~f__0 @ f__47 @ f__46), inference(split_conjunct,[status(thm)],[c_0_28])).
% 78.09/78.19 thf(c_0_40, plain, ~p1425, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])]), c_0_31])).
% 78.09/78.19 thf(c_0_41, plain, (f__0 @ f__47 @ f__46|~p1708|~f__1 @ f__44 @ f__47|~f__0 @ f__44 @ f__46), inference(split_conjunct,[status(thm)],[c_0_32])).
% 78.09/78.19 thf(c_0_42, plain, p1708, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 78.09/78.19 thf(c_0_43, plain, f__1 @ f__44 @ f__47, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 78.09/78.19 thf(c_0_44, plain, f__0 @ f__44 @ f__46, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 78.09/78.19 thf(c_0_45, plain, ~f__0 @ f__47 @ f__46, inference(sr,[status(thm)],[c_0_39, c_0_40])).
% 78.09/78.19 thf(c_0_46, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42]), c_0_43]), c_0_44])]), c_0_45]), ['proof']).
% 78.09/78.19 thf(7,plain,$false,inference(eprover,[status(thm),assumptions([h22,h23,h21,h19,h20,h18,h16,h17,h15,h14,h5,h6,h2,h1,h0])],[])).
% 78.09/78.19 thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h21,h19,h20,h18,h16,h17,h15,h14,h5,h6,h2,h1,h0]),tab_negimp(discharge,[h22,h23])],[h21,7,h22,h23])).
% 78.09/78.19 thf(9,plain,$false,inference(tab_negall,[status(thm),assumptions([h19,h20,h18,h16,h17,h15,h14,h5,h6,h2,h1,h0]),tab_negall(discharge,[h21]),tab_negall(eigenvar,eigen__47)],[h17,8,h21])).
% 78.09/78.19 thf(10,plain,$false,inference(tab_negimp,[status(thm),assumptions([h18,h16,h17,h15,h14,h5,h6,h2,h1,h0]),tab_negimp(discharge,[h19,h20])],[h18,9,h19,h20])).
% 78.09/78.19 thf(11,plain,$false,inference(tab_negall,[status(thm),assumptions([h16,h17,h15,h14,h5,h6,h2,h1,h0]),tab_negall(discharge,[h18]),tab_negall(eigenvar,eigen__46)],[h16,10,h18])).
% 78.09/78.19 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h15,h14,h5,h6,h2,h1,h0]),tab_negimp(discharge,[h16,h17])],[h15,11,h16,h17])).
% 78.09/78.19 thf(13,plain,$false,inference(tab_negall,[status(thm),assumptions([h14,h5,h6,h2,h1,h0]),tab_negall(discharge,[h15]),tab_negall(eigenvar,eigen__45)],[h14,12,h15])).
% 78.09/78.19 thf(14,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h6,h2,h1,h0]),tab_negall(discharge,[h14]),tab_negall(eigenvar,eigen__44)],[h5,13,h14])).
% 78.09/78.19 thf(15,plain,$false,inference(tab_be,[status(thm),assumptions([h2,h1,h0]),tab_be(discharge,[h3,h4]),tab_be(discharge,[h5,h6])],[h2,6,14,h3,h4,h5,h6])).
% 78.09/78.19 thf(16,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,15,h2])).
% 78.09/78.19 thf(17,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,16,h1])).
% 78.09/78.19 thf(0,theorem,(![X1:$i>$i>$o]:(![X2:$i>$i>$o]:((![X3:$i]:(![X4:$i>$o]:((~((~((~((![X5:$i]:(((X1 @ X3) @ X5) => (X4 @ X5))))))))) => (![X5:$i]:(((X2 @ X3) @ X5) => (~((![X6:$i]:(((X1 @ X5) @ X6) => (X4 @ X6)))))))))) = (![X3:$i]:(![X4:$i]:(![X5:$i]:((~((((X2 @ X3) @ X4) => (~(((X1 @ X3) @ X5)))))) => ((X1 @ X4) @ X5)))))))),inference(contra,[status(thm),contra(discharge,[h0])],[17,h0])).
% 78.09/78.19 % SZS output end Proof
%------------------------------------------------------------------------------