TSTP Solution File: AGT034^2 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : AGT034^2 : 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 : n019.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 : Thu Jul 14 12:03:42 EDT 2022
% Result : Theorem 4.59s 4.77s
% Output : Proof 4.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : AGT034^2 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 4 04:09:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 4.59/4.77 % SZS status Theorem
% 4.59/4.77 % Mode: mode506
% 4.59/4.77 % Inferences: 373
% 4.59/4.77 % SZS output start Proof
% 4.59/4.77 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 4.59/4.77 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 4.59/4.77 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 4.59/4.77 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 4.59/4.77 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 4.59/4.77 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 4.59/4.77 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 4.59/4.77 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 4.59/4.77 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 4.59/4.77 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 4.59/4.77 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 4.59/4.77 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 4.59/4.77 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 4.59/4.77 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 4.59/4.77 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 4.59/4.77 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 4.59/4.77 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 4.59/4.77 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 4.59/4.77 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 4.59/4.77 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 4.59/4.77 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 4.59/4.77 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 4.59/4.77 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)))))))).
% 4.59/4.77 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 4.59/4.77 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 4.59/4.77 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 4.59/4.77 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 4.59/4.77 thf(def_mvalid,definition,(mvalid = (!!))).
% 4.59/4.77 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 4.59/4.77 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 4.59/4.77 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 4.59/4.77 thf(conj,conjecture,((!!) @ ((very_much_likes @ jan) @ cola))).
% 4.59/4.77 thf(h0,negated_conjecture,(~(((!!) @ ((very_much_likes @ jan) @ cola)))),inference(assume_negation,[status(cth)],[conj])).
% 4.59/4.77 thf(ax974, axiom, (~(p15)|p25), file('<stdin>', ax974)).
% 4.59/4.77 thf(ax975, axiom, (~(p25)|p24), file('<stdin>', ax975)).
% 4.59/4.77 thf(ax984, axiom, p15, file('<stdin>', ax984)).
% 4.59/4.77 thf(ax976, axiom, (~(p24)|p23), file('<stdin>', ax976)).
% 4.59/4.77 thf(ax979, axiom, (p1|~(p20)), file('<stdin>', ax979)).
% 4.59/4.77 thf(ax998, axiom, ~(p1), file('<stdin>', ax998)).
% 4.59/4.77 thf(ax977, axiom, (~(p23)|~(p22)|p20), file('<stdin>', ax977)).
% 4.59/4.77 thf(pax11, axiom, (p11=>![X495:$i, X499:$i]:(fa3 @ X495 @ X499=>flikes @ fjan @ fcola @ X499)), file('<stdin>', pax11)).
% 4.59/4.77 thf(nax22, axiom, (p22<=![X492:$i]:(fa3 @ f__0 @ X492=>fvery_much_likes @ fjan @ fcola @ X492)), file('<stdin>', nax22)).
% 4.59/4.77 thf(pax14, axiom, (p14=>![X495:$i, X494:mu, X496:mu, X497:$i]:(fa3 @ X495 @ X497=>(~((flikes @ X494 @ X496 @ X497=>(![X498:$i]:(fa1 @ X497 @ X498=>flikes @ X494 @ X496 @ X498)=>~(![X498:$i]:(fa2 @ X497 @ X498=>flikes @ X494 @ X496 @ X498)))))=>fvery_much_likes @ X494 @ X496 @ X497))), file('<stdin>', pax14)).
% 4.59/4.77 thf(ax988, axiom, p11, file('<stdin>', ax988)).
% 4.59/4.77 thf(ax985, axiom, p14, file('<stdin>', ax985)).
% 4.59/4.77 thf(pax6, axiom, (p6=>![X495:$i, X502:$i]:(fa2 @ X495 @ X502=>flikes @ fjan @ fpepsi @ X502)), file('<stdin>', pax6)).
% 4.59/4.77 thf(pax2, axiom, (p2=>![X495:$i, X504:$i]:(fa1 @ X495 @ X504=>flikes @ fjan @ fcola @ X504)), file('<stdin>', pax2)).
% 4.59/4.77 thf(ax993, axiom, p6, file('<stdin>', ax993)).
% 4.59/4.77 thf(pax9, axiom, (p9=>![X495:$i, X500:mu, X501:$i]:(fa2 @ X495 @ X501=>(flikes @ X500 @ fpepsi @ X501=>flikes @ X500 @ fcola @ X501))), file('<stdin>', pax9)).
% 4.59/4.77 thf(ax997, axiom, p2, file('<stdin>', ax997)).
% 4.59/4.77 thf(ax990, axiom, p9, file('<stdin>', ax990)).
% 4.59/4.77 thf(c_0_18, plain, (~p15|p25), inference(fof_simplification,[status(thm)],[ax974])).
% 4.59/4.77 thf(c_0_19, plain, (~p25|p24), inference(fof_simplification,[status(thm)],[ax975])).
% 4.59/4.77 thf(c_0_20, plain, (p25|~p15), inference(split_conjunct,[status(thm)],[c_0_18])).
% 4.59/4.77 thf(c_0_21, plain, p15, inference(split_conjunct,[status(thm)],[ax984])).
% 4.59/4.77 thf(c_0_22, plain, (~p24|p23), inference(fof_simplification,[status(thm)],[ax976])).
% 4.59/4.77 thf(c_0_23, plain, (p24|~p25), inference(split_conjunct,[status(thm)],[c_0_19])).
% 4.59/4.77 thf(c_0_24, plain, p25, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 4.59/4.77 thf(c_0_25, plain, (p1|~p20), inference(fof_simplification,[status(thm)],[ax979])).
% 4.59/4.77 thf(c_0_26, plain, ~p1, inference(fof_simplification,[status(thm)],[ax998])).
% 4.59/4.77 thf(c_0_27, plain, (~p23|~p22|p20), inference(fof_simplification,[status(thm)],[ax977])).
% 4.59/4.77 thf(c_0_28, plain, (p23|~p24), inference(split_conjunct,[status(thm)],[c_0_22])).
% 4.59/4.77 thf(c_0_29, plain, p24, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 4.59/4.77 thf(c_0_30, plain, (p1|~p20), inference(split_conjunct,[status(thm)],[c_0_25])).
% 4.59/4.77 thf(c_0_31, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_26])).
% 4.59/4.77 thf(c_0_32, plain, ![X3025:$i, X3026:$i]:(~p11|(~fa3 @ X3025 @ X3026|flikes @ fjan @ fcola @ X3026)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax11])])])).
% 4.59/4.77 thf(c_0_33, plain, ((fa3 @ f__0 @ esk1227_0|p22)&(~fvery_much_likes @ fjan @ fcola @ esk1227_0|p22)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax22])])])])])).
% 4.59/4.77 thf(c_0_34, plain, (p20|~p23|~p22), inference(split_conjunct,[status(thm)],[c_0_27])).
% 4.59/4.77 thf(c_0_35, plain, p23, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 4.59/4.77 thf(c_0_36, plain, ~p20, inference(sr,[status(thm)],[c_0_30, c_0_31])).
% 4.59/4.77 thf(c_0_37, plain, ![X3005:$i, X3006:mu, X3007:mu, X3008:$i]:(((fa2 @ X3008 @ (esk1252_4 @ X3005 @ X3006 @ X3007 @ X3008)|fa1 @ X3008 @ (esk1251_4 @ X3005 @ X3006 @ X3007 @ X3008)|~flikes @ X3006 @ X3007 @ X3008|fvery_much_likes @ X3006 @ X3007 @ X3008|~fa3 @ X3005 @ X3008|~p14)&(~flikes @ X3006 @ X3007 @ (esk1252_4 @ X3005 @ X3006 @ X3007 @ X3008)|fa1 @ X3008 @ (esk1251_4 @ X3005 @ X3006 @ X3007 @ X3008)|~flikes @ X3006 @ X3007 @ X3008|fvery_much_likes @ X3006 @ X3007 @ X3008|~fa3 @ X3005 @ X3008|~p14))&((fa2 @ X3008 @ (esk1252_4 @ X3005 @ X3006 @ X3007 @ X3008)|~flikes @ X3006 @ X3007 @ (esk1251_4 @ X3005 @ X3006 @ X3007 @ X3008)|~flikes @ X3006 @ X3007 @ X3008|fvery_much_likes @ X3006 @ X3007 @ X3008|~fa3 @ X3005 @ X3008|~p14)&(~flikes @ X3006 @ X3007 @ (esk1252_4 @ X3005 @ X3006 @ X3007 @ X3008)|~flikes @ X3006 @ X3007 @ (esk1251_4 @ X3005 @ X3006 @ X3007 @ X3008)|~flikes @ X3006 @ X3007 @ X3008|fvery_much_likes @ X3006 @ X3007 @ X3008|~fa3 @ X3005 @ X3008|~p14))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax14])])])])])).
% 4.59/4.77 thf(c_0_38, plain, ![X2:$i, X3:$i]:(flikes @ fjan @ fcola @ X3|~p11|~fa3 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_32])).
% 4.59/4.77 thf(c_0_39, plain, p11, inference(split_conjunct,[status(thm)],[ax988])).
% 4.59/4.77 thf(c_0_40, plain, (fa3 @ f__0 @ esk1227_0|p22), inference(split_conjunct,[status(thm)],[c_0_33])).
% 4.59/4.77 thf(c_0_41, plain, ~p22, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])]), c_0_36])).
% 4.59/4.77 thf(c_0_42, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa2 @ X2 @ (esk1252_4 @ X3 @ X1 @ X4 @ X2)|fa1 @ X2 @ (esk1251_4 @ X3 @ X1 @ X4 @ X2)|fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2|~p14), inference(split_conjunct,[status(thm)],[c_0_37])).
% 4.59/4.77 thf(c_0_43, plain, p14, inference(split_conjunct,[status(thm)],[ax985])).
% 4.59/4.77 thf(c_0_44, plain, ![X3:$i, X2:$i]:(flikes @ fjan @ fcola @ X2|~fa3 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 4.59/4.77 thf(c_0_45, plain, fa3 @ f__0 @ esk1227_0, inference(sr,[status(thm)],[c_0_40, c_0_41])).
% 4.59/4.77 thf(c_0_46, plain, (p22|~fvery_much_likes @ fjan @ fcola @ esk1227_0), inference(split_conjunct,[status(thm)],[c_0_33])).
% 4.59/4.77 thf(c_0_47, plain, ![X3049:$i, X3050:$i]:(~p6|(~fa2 @ X3049 @ X3050|flikes @ fjan @ fpepsi @ X3050)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 4.59/4.77 thf(c_0_48, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa2 @ X2 @ (esk1252_4 @ X3 @ X1 @ X4 @ X2)|fa1 @ X2 @ (esk1251_4 @ X3 @ X1 @ X4 @ X2)|fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])).
% 4.59/4.77 thf(c_0_49, plain, flikes @ fjan @ fcola @ esk1227_0, inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 4.59/4.77 thf(c_0_50, plain, ~fvery_much_likes @ fjan @ fcola @ esk1227_0, inference(sr,[status(thm)],[c_0_46, c_0_41])).
% 4.59/4.77 thf(c_0_51, plain, ![X3073:$i, X3074:$i]:(~p2|(~fa1 @ X3073 @ X3074|flikes @ fjan @ fcola @ X3074)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 4.59/4.77 thf(c_0_52, plain, ![X2:$i, X3:$i]:(flikes @ fjan @ fpepsi @ X3|~p6|~fa2 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_47])).
% 4.59/4.77 thf(c_0_53, plain, p6, inference(split_conjunct,[status(thm)],[ax993])).
% 4.59/4.77 thf(c_0_54, plain, ![X2:$i]:(fa2 @ esk1227_0 @ (esk1252_4 @ X2 @ fjan @ fcola @ esk1227_0)|fa1 @ esk1227_0 @ (esk1251_4 @ X2 @ fjan @ fcola @ esk1227_0)|~fa3 @ X2 @ esk1227_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50])).
% 4.59/4.77 thf(c_0_55, plain, ![X3035:$i, X3036:mu, X3037:$i]:(~p9|(~fa2 @ X3035 @ X3037|(~flikes @ X3036 @ fpepsi @ X3037|flikes @ X3036 @ fcola @ X3037))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])])).
% 4.59/4.77 thf(c_0_56, plain, ![X2:$i, X3:$i]:(flikes @ fjan @ fcola @ X3|~p2|~fa1 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_51])).
% 4.59/4.77 thf(c_0_57, plain, p2, inference(split_conjunct,[status(thm)],[ax997])).
% 4.59/4.77 thf(c_0_58, plain, ![X3:$i, X2:$i]:(flikes @ fjan @ fpepsi @ X2|~fa2 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53])])).
% 4.59/4.77 thf(c_0_59, plain, (fa1 @ esk1227_0 @ (esk1251_4 @ f__0 @ fjan @ fcola @ esk1227_0)|fa2 @ esk1227_0 @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0)), inference(spm,[status(thm)],[c_0_54, c_0_45])).
% 4.59/4.77 thf(c_0_60, plain, ![X1:mu, X2:$i, X3:$i]:(flikes @ X1 @ fcola @ X3|~p9|~fa2 @ X2 @ X3|~flikes @ X1 @ fpepsi @ X3), inference(split_conjunct,[status(thm)],[c_0_55])).
% 4.59/4.77 thf(c_0_61, plain, p9, inference(split_conjunct,[status(thm)],[ax990])).
% 4.59/4.77 thf(c_0_62, plain, ![X3:$i, X2:$i]:(flikes @ fjan @ fcola @ X2|~fa1 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
% 4.59/4.77 thf(c_0_63, plain, (flikes @ fjan @ fpepsi @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0)|fa1 @ esk1227_0 @ (esk1251_4 @ f__0 @ fjan @ fcola @ esk1227_0)), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 4.59/4.77 thf(c_0_64, plain, ![X1:mu, X3:$i, X2:$i]:(flikes @ X1 @ fcola @ X2|~flikes @ X1 @ fpepsi @ X2|~fa2 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])])).
% 4.59/4.77 thf(c_0_65, plain, (flikes @ fjan @ fpepsi @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0)|flikes @ fjan @ fcola @ (esk1251_4 @ f__0 @ fjan @ fcola @ esk1227_0)), inference(spm,[status(thm)],[c_0_62, c_0_63])).
% 4.59/4.77 thf(c_0_66, plain, ![X1:mu, X2:$i, X4:mu, X3:$i]:(fa1 @ X3 @ (esk1251_4 @ X2 @ X1 @ X4 @ X3)|fvery_much_likes @ X1 @ X4 @ X3|~flikes @ X1 @ X4 @ (esk1252_4 @ X2 @ X1 @ X4 @ X3)|~flikes @ X1 @ X4 @ X3|~fa3 @ X2 @ X3|~p14), inference(split_conjunct,[status(thm)],[c_0_37])).
% 4.59/4.77 thf(c_0_67, plain, ![X2:$i]:(flikes @ fjan @ fcola @ (esk1251_4 @ f__0 @ fjan @ fcola @ esk1227_0)|flikes @ fjan @ fcola @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0)|~fa2 @ X2 @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0)), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 4.59/4.77 thf(c_0_68, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa2 @ X2 @ (esk1252_4 @ X3 @ X1 @ X4 @ X2)|fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ (esk1251_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2|~p14), inference(split_conjunct,[status(thm)],[c_0_37])).
% 4.59/4.77 thf(c_0_69, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa1 @ X2 @ (esk1251_4 @ X3 @ X1 @ X4 @ X2)|fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ (esk1252_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_43])])).
% 4.59/4.77 thf(c_0_70, plain, (flikes @ fjan @ fcola @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0)|flikes @ fjan @ fcola @ (esk1251_4 @ f__0 @ fjan @ fcola @ esk1227_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_59]), c_0_62])).
% 4.59/4.77 thf(c_0_71, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa2 @ X2 @ (esk1252_4 @ X3 @ X1 @ X4 @ X2)|fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ (esk1251_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_43])])).
% 4.59/4.77 thf(c_0_72, plain, flikes @ fjan @ fcola @ (esk1251_4 @ f__0 @ fjan @ fcola @ esk1227_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_49]), c_0_45])]), c_0_50]), c_0_62])).
% 4.59/4.77 thf(c_0_73, plain, fa2 @ esk1227_0 @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_49]), c_0_45])]), c_0_50])).
% 4.59/4.77 thf(c_0_74, plain, flikes @ fjan @ fpepsi @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0), inference(spm,[status(thm)],[c_0_58, c_0_73])).
% 4.59/4.77 thf(c_0_75, plain, ![X1:mu, X2:$i, X4:mu, X3:$i]:(fvery_much_likes @ X1 @ X4 @ X3|~flikes @ X1 @ X4 @ (esk1252_4 @ X2 @ X1 @ X4 @ X3)|~flikes @ X1 @ X4 @ (esk1251_4 @ X2 @ X1 @ X4 @ X3)|~flikes @ X1 @ X4 @ X3|~fa3 @ X2 @ X3|~p14), inference(split_conjunct,[status(thm)],[c_0_37])).
% 4.59/4.77 thf(c_0_76, plain, ![X2:$i]:(flikes @ fjan @ fcola @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0)|~fa2 @ X2 @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0)), inference(spm,[status(thm)],[c_0_64, c_0_74])).
% 4.59/4.77 thf(c_0_77, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ (esk1251_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ (esk1252_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_43])])).
% 4.59/4.77 thf(c_0_78, plain, flikes @ fjan @ fcola @ (esk1252_4 @ f__0 @ fjan @ fcola @ esk1227_0), inference(spm,[status(thm)],[c_0_76, c_0_73])).
% 4.59/4.77 thf(c_0_79, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_72]), c_0_49]), c_0_45])]), c_0_50]), ['proof']).
% 4.59/4.77 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 4.59/4.77 thf(0,theorem,((!!) @ ((very_much_likes @ jan) @ cola)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 4.59/4.77 % SZS output end Proof
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