TSTP Solution File: PUZ086^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : PUZ086^1 : 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 : n023.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 : Mon Jul 18 18:24:41 EDT 2022
% Result : Theorem 25.89s 26.09s
% Output : Proof 25.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ086^1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat May 28 22:21:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 25.89/26.09 % SZS status Theorem
% 25.89/26.09 % Mode: mode461
% 25.89/26.09 % Inferences: 1075
% 25.89/26.09 % SZS output start Proof
% 25.89/26.09 thf(ty_eigen__2, type, eigen__2 : $i).
% 25.89/26.09 thf(ty_peter, type, peter : ($i>$i>$o)).
% 25.89/26.09 thf(ty_eigen__1, type, eigen__1 : $i).
% 25.89/26.09 thf(ty_eigen__0, type, eigen__0 : $i).
% 25.89/26.09 thf(ty_john, type, john : ($i>$i>$o)).
% 25.89/26.09 thf(ty_place, type, place : ($i>$o)).
% 25.89/26.09 thf(ty_time, type, time : ($i>$o)).
% 25.89/26.09 thf(ty_eigen__4, type, eigen__4 : $i).
% 25.89/26.09 thf(ty_eigen__3, type, eigen__3 : $i).
% 25.89/26.09 thf(ty_appointment, type, appointment : ($i>$o)).
% 25.89/26.09 thf(sP1,plain,sP1 <=> (![X1:$i]:((john @ X1) @ X1)),introduced(definition,[new_symbols(definition,[sP1])])).
% 25.89/26.09 thf(sP2,plain,sP2 <=> (![X1:$i]:(((john @ eigen__4) @ X1) => ((~(((place @ X1) => (~((time @ X1)))))) => (appointment @ X1)))),introduced(definition,[new_symbols(definition,[sP2])])).
% 25.89/26.09 thf(sP3,plain,sP3 <=> (![X1:$i]:(![X2:$i]:(((peter @ X1) @ X2) => (![X3:$i]:(((john @ X2) @ X3) => (place @ X3)))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 25.89/26.09 thf(sP4,plain,sP4 <=> (((peter @ eigen__0) @ eigen__1) => (![X1:$i]:(((john @ eigen__1) @ X1) => (place @ X1)))),introduced(definition,[new_symbols(definition,[sP4])])).
% 25.89/26.09 thf(sP5,plain,sP5 <=> (((peter @ eigen__3) @ eigen__4) => sP2),introduced(definition,[new_symbols(definition,[sP5])])).
% 25.89/26.09 thf(sP6,plain,sP6 <=> (![X1:$i]:(((peter @ eigen__2) @ X1) => (time @ X1))),introduced(definition,[new_symbols(definition,[sP6])])).
% 25.89/26.09 thf(sP7,plain,sP7 <=> (((peter @ eigen__2) @ eigen__2) => (time @ eigen__2)),introduced(definition,[new_symbols(definition,[sP7])])).
% 25.89/26.09 thf(sP8,plain,sP8 <=> (![X1:$i]:(((john @ eigen__1) @ X1) => (place @ X1))),introduced(definition,[new_symbols(definition,[sP8])])).
% 25.89/26.09 thf(sP9,plain,sP9 <=> (((peter @ eigen__0) @ eigen__1) => (![X1:$i]:(((john @ eigen__1) @ X1) => ((~(((place @ X1) => (~((time @ X1)))))) => (appointment @ X1))))),introduced(definition,[new_symbols(definition,[sP9])])).
% 25.89/26.09 thf(sP10,plain,sP10 <=> (![X1:$i]:(((peter @ eigen__3) @ X1) => (![X2:$i]:(((john @ X1) @ X2) => (place @ X2))))),introduced(definition,[new_symbols(definition,[sP10])])).
% 25.89/26.09 thf(sP11,plain,sP11 <=> (![X1:$i]:(((peter @ eigen__3) @ X1) => (time @ X1))),introduced(definition,[new_symbols(definition,[sP11])])).
% 25.89/26.09 thf(sP12,plain,sP12 <=> (time @ eigen__4),introduced(definition,[new_symbols(definition,[sP12])])).
% 25.89/26.09 thf(sP13,plain,sP13 <=> (((john @ eigen__4) @ eigen__4) => ((~(((place @ eigen__4) => (~(sP12))))) => (appointment @ eigen__4))),introduced(definition,[new_symbols(definition,[sP13])])).
% 25.89/26.09 thf(sP14,plain,sP14 <=> (appointment @ eigen__4),introduced(definition,[new_symbols(definition,[sP14])])).
% 25.89/26.09 thf(sP15,plain,sP15 <=> (((john @ eigen__4) @ eigen__4) => (place @ eigen__4)),introduced(definition,[new_symbols(definition,[sP15])])).
% 25.89/26.09 thf(sP16,plain,sP16 <=> ((~(((place @ eigen__2) => (~((time @ eigen__2)))))) => (appointment @ eigen__2)),introduced(definition,[new_symbols(definition,[sP16])])).
% 25.89/26.09 thf(sP17,plain,sP17 <=> ((peter @ eigen__2) @ eigen__2),introduced(definition,[new_symbols(definition,[sP17])])).
% 25.89/26.09 thf(sP18,plain,sP18 <=> (appointment @ eigen__2),introduced(definition,[new_symbols(definition,[sP18])])).
% 25.89/26.09 thf(sP19,plain,sP19 <=> (![X1:$i]:(![X2:$i]:(((peter @ X1) @ X2) => (time @ X2)))),introduced(definition,[new_symbols(definition,[sP19])])).
% 25.89/26.09 thf(sP20,plain,sP20 <=> (((john @ eigen__1) @ eigen__2) => (place @ eigen__2)),introduced(definition,[new_symbols(definition,[sP20])])).
% 25.89/26.09 thf(sP21,plain,sP21 <=> (((peter @ eigen__3) @ eigen__4) => sP12),introduced(definition,[new_symbols(definition,[sP21])])).
% 25.89/26.09 thf(sP22,plain,sP22 <=> (place @ eigen__4),introduced(definition,[new_symbols(definition,[sP22])])).
% 25.89/26.09 thf(sP23,plain,sP23 <=> (time @ eigen__2),introduced(definition,[new_symbols(definition,[sP23])])).
% 25.89/26.09 thf(sP24,plain,sP24 <=> (![X1:$i]:(((peter @ eigen__0) @ X1) => (![X2:$i]:(((john @ X1) @ X2) => (place @ X2))))),introduced(definition,[new_symbols(definition,[sP24])])).
% 25.89/26.09 thf(sP25,plain,sP25 <=> (![X1:$i]:((peter @ X1) @ X1)),introduced(definition,[new_symbols(definition,[sP25])])).
% 25.89/26.09 thf(sP26,plain,sP26 <=> ((john @ eigen__4) @ eigen__4),introduced(definition,[new_symbols(definition,[sP26])])).
% 25.89/26.09 thf(sP27,plain,sP27 <=> ((~((sP22 => (~(sP12))))) => sP14),introduced(definition,[new_symbols(definition,[sP27])])).
% 25.89/26.09 thf(sP28,plain,sP28 <=> ((place @ eigen__2) => (~(sP23))),introduced(definition,[new_symbols(definition,[sP28])])).
% 25.89/26.09 thf(sP29,plain,sP29 <=> (![X1:$i]:(((peter @ eigen__3) @ X1) => (![X2:$i]:(((john @ X1) @ X2) => ((~(((place @ X2) => (~((time @ X2)))))) => (appointment @ X2)))))),introduced(definition,[new_symbols(definition,[sP29])])).
% 25.89/26.09 thf(sP30,plain,sP30 <=> (((peter @ eigen__3) @ eigen__4) => (![X1:$i]:(((john @ eigen__4) @ X1) => (place @ X1)))),introduced(definition,[new_symbols(definition,[sP30])])).
% 25.89/26.09 thf(sP31,plain,sP31 <=> (![X1:$i]:(![X2:$i]:(((peter @ X1) @ X2) => (![X3:$i]:(((john @ X2) @ X3) => ((~(((place @ X3) => (~((time @ X3)))))) => (appointment @ X3))))))),introduced(definition,[new_symbols(definition,[sP31])])).
% 25.89/26.09 thf(sP32,plain,sP32 <=> (![X1:$i]:(((john @ eigen__4) @ X1) => (place @ X1))),introduced(definition,[new_symbols(definition,[sP32])])).
% 25.89/26.09 thf(sP33,plain,sP33 <=> (![X1:$i]:(((john @ eigen__1) @ X1) => ((~(((place @ X1) => (~((time @ X1)))))) => (appointment @ X1)))),introduced(definition,[new_symbols(definition,[sP33])])).
% 25.89/26.09 thf(sP34,plain,sP34 <=> ((peter @ eigen__0) @ eigen__1),introduced(definition,[new_symbols(definition,[sP34])])).
% 25.89/26.09 thf(sP35,plain,sP35 <=> (sP22 => (~(sP12))),introduced(definition,[new_symbols(definition,[sP35])])).
% 25.89/26.09 thf(sP36,plain,sP36 <=> ((john @ eigen__1) @ eigen__2),introduced(definition,[new_symbols(definition,[sP36])])).
% 25.89/26.09 thf(sP37,plain,sP37 <=> ((peter @ eigen__3) @ eigen__4),introduced(definition,[new_symbols(definition,[sP37])])).
% 25.89/26.09 thf(sP38,plain,sP38 <=> (![X1:$i]:(((peter @ eigen__0) @ X1) => (![X2:$i]:(((john @ X1) @ X2) => ((~(((place @ X2) => (~((time @ X2)))))) => (appointment @ X2)))))),introduced(definition,[new_symbols(definition,[sP38])])).
% 25.89/26.09 thf(sP39,plain,sP39 <=> (place @ eigen__2),introduced(definition,[new_symbols(definition,[sP39])])).
% 25.89/26.09 thf(sP40,plain,sP40 <=> (sP36 => sP16),introduced(definition,[new_symbols(definition,[sP40])])).
% 25.89/26.09 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 25.89/26.09 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 25.89/26.09 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 25.89/26.09 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 25.89/26.09 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 25.89/26.09 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 25.89/26.09 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 25.89/26.09 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 25.89/26.09 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 25.89/26.09 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 25.89/26.09 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 25.89/26.09 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 25.89/26.09 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 25.89/26.09 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 25.89/26.09 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 25.89/26.09 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 25.89/26.09 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 25.89/26.09 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 25.89/26.09 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 25.89/26.09 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 25.89/26.09 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 25.89/26.09 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 25.89/26.09 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)))))))).
% 25.89/26.09 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 25.89/26.09 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 25.89/26.09 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 25.89/26.09 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 25.89/26.09 thf(def_mvalid,definition,(mvalid = (!!))).
% 25.89/26.09 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 25.89/26.09 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 25.89/26.09 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 25.89/26.09 thf(conj,conjecture,(![X1:$i]:(~(((~((~((![X2:$i]:(((peter @ X1) @ X2) => (![X3:$i]:(((john @ X2) @ X3) => (appointment @ X3))))))))) => (~((![X2:$i]:(((john @ X1) @ X2) => (![X3:$i]:(((peter @ X2) @ X3) => (appointment @ X3)))))))))))).
% 25.89/26.09 thf(h0,negated_conjecture,(~((![X1:$i]:(~(((![X2:$i]:(((peter @ X1) @ X2) => (![X3:$i]:(((john @ X2) @ X3) => (appointment @ X3))))) => (~((![X2:$i]:(((john @ X1) @ X2) => (![X3:$i]:(((peter @ X2) @ X3) => (appointment @ X3))))))))))))),inference(assume_negation,[status(cth)],[conj])).
% 25.89/26.09 thf(h1,assumption,((![X1:$i]:(((peter @ eigen__0) @ X1) => (![X2:$i]:(((john @ X1) @ X2) => (appointment @ X2))))) => (~((![X1:$i]:(((john @ eigen__0) @ X1) => (![X2:$i]:(((peter @ X1) @ X2) => (appointment @ X2)))))))),introduced(assumption,[])).
% 25.89/26.09 thf(h2,assumption,(~((![X1:$i]:(((peter @ eigen__0) @ X1) => (![X2:$i]:(((john @ X1) @ X2) => (appointment @ X2))))))),introduced(assumption,[])).
% 25.89/26.09 thf(h3,assumption,(~((![X1:$i]:(((john @ eigen__0) @ X1) => (![X2:$i]:(((peter @ X1) @ X2) => (appointment @ X2))))))),introduced(assumption,[])).
% 25.89/26.09 thf(h4,assumption,(~((sP34 => (![X1:$i]:(((john @ eigen__1) @ X1) => (appointment @ X1)))))),introduced(assumption,[])).
% 25.89/26.09 thf(h5,assumption,sP34,introduced(assumption,[])).
% 25.89/26.09 thf(h6,assumption,(~((![X1:$i]:(((john @ eigen__1) @ X1) => (appointment @ X1))))),introduced(assumption,[])).
% 25.89/26.09 thf(h7,assumption,(~((sP36 => sP18))),introduced(assumption,[])).
% 25.89/26.09 thf(h8,assumption,sP36,introduced(assumption,[])).
% 25.89/26.09 thf(h9,assumption,(~(sP18)),introduced(assumption,[])).
% 25.89/26.09 thf(1,plain,(~(sP33) | sP40),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(2,plain,((~(sP40) | ~(sP36)) | sP16),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(3,plain,((~(sP16) | sP28) | sP18),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(4,plain,((~(sP28) | ~(sP39)) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(5,plain,(~(sP38) | sP9),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(6,plain,((~(sP9) | ~(sP34)) | sP33),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(7,plain,(~(sP8) | sP20),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(8,plain,((~(sP20) | ~(sP36)) | sP39),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(9,plain,(~(sP24) | sP4),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(10,plain,((~(sP4) | ~(sP34)) | sP8),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(11,plain,(~(sP6) | sP7),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(12,plain,((~(sP7) | ~(sP17)) | sP23),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(13,plain,(~(sP25) | sP17),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(14,plain,(~(sP19) | sP6),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(15,plain,(~(sP3) | sP24),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(16,plain,(~(sP31) | sP38),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(ax_d,axiom,(mvalid @ ((mbox @ peter) @ ((mbox @ john) @ ((mimplies @ ((mand @ place) @ time)) @ appointment))))).
% 25.89/26.09 thf(17,plain,sP31,inference(preprocess,[status(thm)],[ax_d]).
% 25.89/26.09 thf(ax_b,axiom,(mvalid @ ((mbox @ peter) @ ((mbox @ john) @ place)))).
% 25.89/26.09 thf(18,plain,sP3,inference(preprocess,[status(thm)],[ax_b]).
% 25.89/26.09 thf(ax_a,axiom,(mvalid @ ((mbox @ peter) @ time))).
% 25.89/26.09 thf(19,plain,sP19,inference(preprocess,[status(thm)],[ax_a]).
% 25.89/26.09 thf(refl_peter,axiom,(mreflexive @ peter)).
% 25.89/26.09 thf(20,plain,sP25,inference(preprocess,[status(thm)],[refl_peter]).
% 25.89/26.09 thf(21,plain,$false,inference(prop_unsat,[status(thm),assumptions([h8,h9,h7,h5,h6,h4,h2,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,h5,h8,h9,17,18,19,20])).
% 25.89/26.09 thf(22,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h4,h2,h1,h0]),tab_negimp(discharge,[h8,h9])],[h7,21,h8,h9])).
% 25.89/26.09 thf(23,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h6,h4,h2,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__2)],[h6,22,h7])).
% 25.89/26.09 thf(24,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h2,h1,h0]),tab_negimp(discharge,[h5,h6])],[h4,23,h5,h6])).
% 25.89/26.09 thf(25,plain,$false,inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__1)],[h2,24,h4])).
% 25.89/26.09 thf(h10,assumption,(~((((john @ eigen__0) @ eigen__3) => (![X1:$i]:(((peter @ eigen__3) @ X1) => (appointment @ X1)))))),introduced(assumption,[])).
% 25.89/26.09 thf(h11,assumption,((john @ eigen__0) @ eigen__3),introduced(assumption,[])).
% 25.89/26.09 thf(h12,assumption,(~((![X1:$i]:(((peter @ eigen__3) @ X1) => (appointment @ X1))))),introduced(assumption,[])).
% 25.89/26.09 thf(h13,assumption,(~((sP37 => sP14))),introduced(assumption,[])).
% 25.89/26.09 thf(h14,assumption,sP37,introduced(assumption,[])).
% 25.89/26.09 thf(h15,assumption,(~(sP14)),introduced(assumption,[])).
% 25.89/26.09 thf(26,plain,(~(sP29) | sP5),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(27,plain,((~(sP5) | ~(sP37)) | sP2),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(28,plain,(~(sP2) | sP13),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(29,plain,((~(sP13) | ~(sP26)) | sP27),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(30,plain,((~(sP27) | sP35) | sP14),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(31,plain,((~(sP35) | ~(sP22)) | ~(sP12)),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(32,plain,(~(sP10) | sP30),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(33,plain,((~(sP30) | ~(sP37)) | sP32),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(34,plain,(~(sP32) | sP15),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(35,plain,((~(sP15) | ~(sP26)) | sP22),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(36,plain,(~(sP1) | sP26),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(37,plain,(~(sP3) | sP10),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(38,plain,(~(sP31) | sP29),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(39,plain,(~(sP19) | sP11),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(40,plain,(~(sP11) | sP21),inference(all_rule,[status(thm)],[])).
% 25.89/26.09 thf(41,plain,((~(sP21) | ~(sP37)) | sP12),inference(prop_rule,[status(thm)],[])).
% 25.89/26.09 thf(refl_john,axiom,(mreflexive @ john)).
% 25.89/26.09 thf(42,plain,sP1,inference(preprocess,[status(thm)],[refl_john]).
% 25.89/26.09 thf(43,plain,$false,inference(prop_unsat,[status(thm),assumptions([h14,h15,h13,h11,h12,h10,h3,h1,h0])],[26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,h14,h15,17,18,19,42])).
% 25.89/26.09 thf(44,plain,$false,inference(tab_negimp,[status(thm),assumptions([h13,h11,h12,h10,h3,h1,h0]),tab_negimp(discharge,[h14,h15])],[h13,43,h14,h15])).
% 25.89/26.09 thf(45,plain,$false,inference(tab_negall,[status(thm),assumptions([h11,h12,h10,h3,h1,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__4)],[h12,44,h13])).
% 25.89/26.09 thf(46,plain,$false,inference(tab_negimp,[status(thm),assumptions([h10,h3,h1,h0]),tab_negimp(discharge,[h11,h12])],[h10,45,h11,h12])).
% 25.89/26.09 thf(47,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h1,h0]),tab_negall(discharge,[h10]),tab_negall(eigenvar,eigen__3)],[h3,46,h10])).
% 25.89/26.09 thf(48,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h3])],[h1,25,47,h2,h3])).
% 25.89/26.09 thf(49,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,48,h1])).
% 25.89/26.09 thf(0,theorem,(![X1:$i]:(~(((~((~((![X2:$i]:(((peter @ X1) @ X2) => (![X3:$i]:(((john @ X2) @ X3) => (appointment @ X3))))))))) => (~((![X2:$i]:(((john @ X1) @ X2) => (![X3:$i]:(((peter @ X2) @ X3) => (appointment @ X3))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[49,h0])).
% 25.89/26.09 % SZS output end Proof
%------------------------------------------------------------------------------