%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : AGT032^2 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n003.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 : 300s
% DateTime : Thu Oct 9 01:08:58 PM UTC 2025
% Result : Theorem 77.32s 77.39s
% Output : Proof 77.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT032^2 : TPTP v9.2.0. Released v5.2.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 8 12:28:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 77.32/77.39 % SZS status Theorem
% 77.32/77.39 % Mode: mode446
% 77.32/77.39 % Inferences: 22451
% 77.32/77.39 % SZS output start Proof
% 77.32/77.39 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 77.32/77.39 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 77.32/77.39 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 77.32/77.39 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 77.32/77.39 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 77.32/77.39 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 77.32/77.39 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 77.32/77.39 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 77.32/77.39 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 77.32/77.39 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 77.32/77.39 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 77.32/77.39 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 77.32/77.39 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 77.32/77.39 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 77.32/77.39 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 77.32/77.39 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 77.32/77.39 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 77.32/77.39 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 77.32/77.39 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 77.32/77.39 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 77.32/77.39 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 77.32/77.39 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 77.32/77.39 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)))))))).
% 77.32/77.39 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 77.32/77.39 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 77.32/77.39 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 77.32/77.39 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 77.32/77.39 thf(def_mvalid,definition,(mvalid = (!!))).
% 77.32/77.39 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 77.32/77.39 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 77.32/77.39 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 77.32/77.39 thf(conj,conjecture,(![X1:$i]:(~((![X2:mu]:(~((~((![X3:mu]:(~((((likes @ X2) @ X3) @ X1))))))))))))).
% 77.32/77.39 thf(h0,negated_conjecture,(~((![X1:$i]:(~((![X2:mu]:(![X3:mu]:(~((((likes @ X2) @ X3) @ X1)))))))))),inference(assume_negation,[status(cth)],[conj])).
% 77.32/77.39 thf(ax1275, axiom, (~(p14)|p33), file('<stdin>', ax1275)).
% 77.32/77.39 thf(ax1307, axiom, ~(p1), file('<stdin>', ax1307)).
% 77.32/77.39 thf(ax1176, axiom, (~(p33)|p136), file('<stdin>', ax1176)).
% 77.32/77.39 thf(ax1294, axiom, p14, file('<stdin>', ax1294)).
% 77.32/77.39 thf(ax1273, axiom, (~(p16)|p35), file('<stdin>', ax1273)).
% 77.32/77.39 thf(pax20, axiom, (p20=>![X62:mu, X63:mu]:~(flikes @ X62 @ X63 @ f__0)), file('<stdin>', pax20)).
% 77.32/77.39 thf(ax1288, axiom, (p1|p20), file('<stdin>', ax1288)).
% 77.32/77.39 thf(ax1277, axiom, (~(p12)|~(p31)), file('<stdin>', ax1277)).
% 77.32/77.39 thf(ax1127, axiom, (~(p9)|p185), file('<stdin>', ax1127)).
% 77.32/77.39 thf(ax927, axiom, (~(p136)|p338), file('<stdin>', ax927)).
% 77.32/77.39 thf(pax11, axiom, (p11=>![X64:$i, X67:$i]:(fa3 @ X64 @ X67=>flikes @ fjan @ fcola @ X67)), file('<stdin>', pax11)).
% 77.32/77.39 thf(pax35, axiom, (p35=>![X54:mu, X55:mu]:(~(![X4:$i]:(fa3 @ f__0 @ X4=>~(fvery_much_likes @ X54 @ X55 @ X4)))=>flikes @ X54 @ X55 @ f__0)), file('<stdin>', pax35)).
% 77.32/77.39 thf(ax1292, axiom, p16, file('<stdin>', ax1292)).
% 77.32/77.39 thf(ax1173, axiom, (p31|~(p139)), file('<stdin>', ax1173)).
% 77.32/77.39 thf(ax1296, axiom, p12, file('<stdin>', ax1296)).
% 77.32/77.39 thf(ax501, axiom, (~(p185)|p686), file('<stdin>', ax501)).
% 77.32/77.39 thf(ax1299, axiom, p9, file('<stdin>', ax1299)).
% 77.32/77.39 thf(pax6, axiom, (p6=>![X64:$i, X70:$i]:(fa2 @ X64 @ X70=>flikes @ fjan @ fpepsi @ X70)), file('<stdin>', pax6)).
% 77.32/77.39 thf(pax338, axiom, (p338=>![X31:$i]:(fa3 @ f__0 @ X31=>(~((flikes @ fjan @ fcola @ X31=>(![X24:$i]:(fa1 @ X31 @ X24=>flikes @ fjan @ fcola @ X24)=>~(![X24:$i]:(fa2 @ X31 @ X24=>flikes @ fjan @ fcola @ X24)))))=>fvery_much_likes @ fjan @ fcola @ X31))), file('<stdin>', pax338)).
% 77.32/77.39 thf(ax1297, axiom, p11, file('<stdin>', ax1297)).
% 77.32/77.39 thf(nax139, axiom, (p139<=(fa3 @ f__0 @ f__2=>~(flikes @ fpiotr @ fpepsi @ f__2))), file('<stdin>', nax139)).
% 77.32/77.39 thf(pax686, axiom, (p686=>![X27:$i]:(fa2 @ f__2 @ X27=>(flikes @ fjan @ fpepsi @ X27=>flikes @ fjan @ fcola @ X27))), file('<stdin>', pax686)).
% 77.32/77.39 thf(ax1302, axiom, p6, file('<stdin>', ax1302)).
% 77.32/77.39 thf(pax2, axiom, (p2=>![X64:$i, X72:$i]:(fa1 @ X64 @ X72=>flikes @ fjan @ fcola @ X72)), file('<stdin>', pax2)).
% 77.32/77.39 thf(ax1306, axiom, p2, file('<stdin>', ax1306)).
% 77.32/77.39 thf(c_0_25, plain, (~p14|p33), inference(fof_simplification,[status(thm)],[ax1275])).
% 77.32/77.39 thf(c_0_26, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1307])).
% 77.32/77.39 thf(c_0_27, plain, (~p33|p136), inference(fof_simplification,[status(thm)],[ax1176])).
% 77.32/77.39 thf(c_0_28, plain, (p33|~p14), inference(split_conjunct,[status(thm)],[c_0_25])).
% 77.32/77.39 thf(c_0_29, plain, p14, inference(split_conjunct,[status(thm)],[ax1294])).
% 77.32/77.39 thf(c_0_30, plain, (~p16|p35), inference(fof_simplification,[status(thm)],[ax1273])).
% 77.32/77.39 thf(c_0_31, plain, ![X1739:mu, X1740:mu]:(~p20|~flikes @ X1739 @ X1740 @ f__0), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax20])])])])).
% 77.32/77.39 thf(c_0_32, plain, (p1|p20), inference(split_conjunct,[status(thm)],[ax1288])).
% 77.32/77.39 thf(c_0_33, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_26])).
% 77.32/77.39 thf(c_0_34, plain, (~p12|~p31), inference(fof_simplification,[status(thm)],[ax1277])).
% 77.32/77.39 thf(c_0_35, plain, (~p9|p185), inference(fof_simplification,[status(thm)],[ax1127])).
% 77.32/77.39 thf(c_0_36, plain, (~p136|p338), inference(fof_simplification,[status(thm)],[ax927])).
% 77.32/77.39 thf(c_0_37, plain, (p136|~p33), inference(split_conjunct,[status(thm)],[c_0_27])).
% 77.32/77.39 thf(c_0_38, plain, p33, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 77.32/77.39 thf(c_0_39, plain, ![X1803:$i, X1804:$i]:(~p11|(~fa3 @ X1803 @ X1804|flikes @ fjan @ fcola @ X1804)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax11])])])).
% 77.32/77.39 thf(c_0_40, plain, ![X1681:mu, X1682:mu, X1683:$i]:(~p35|(~fa3 @ f__0 @ X1683|~fvery_much_likes @ X1681 @ X1682 @ X1683|flikes @ X1681 @ X1682 @ f__0)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax35])])])])).
% 77.32/77.39 thf(c_0_41, plain, (p35|~p16), inference(split_conjunct,[status(thm)],[c_0_30])).
% 77.32/77.39 thf(c_0_42, plain, p16, inference(split_conjunct,[status(thm)],[ax1292])).
% 77.32/77.39 thf(c_0_43, plain, ![X2:mu, X3:mu]:(~p20|~flikes @ X2 @ X3 @ f__0), inference(split_conjunct,[status(thm)],[c_0_31])).
% 77.32/77.39 thf(c_0_44, plain, p20, inference(sr,[status(thm)],[c_0_32, c_0_33])).
% 77.32/77.39 thf(c_0_45, plain, (p31|~p139), inference(fof_simplification,[status(thm)],[ax1173])).
% 77.32/77.39 thf(c_0_46, plain, (~p12|~p31), inference(split_conjunct,[status(thm)],[c_0_34])).
% 77.32/77.39 thf(c_0_47, plain, p12, inference(split_conjunct,[status(thm)],[ax1296])).
% 77.32/77.39 thf(c_0_48, plain, (~p185|p686), inference(fof_simplification,[status(thm)],[ax501])).
% 77.32/77.39 thf(c_0_49, plain, (p185|~p9), inference(split_conjunct,[status(thm)],[c_0_35])).
% 77.32/77.39 thf(c_0_50, plain, p9, inference(split_conjunct,[status(thm)],[ax1299])).
% 77.32/77.39 thf(c_0_51, plain, ![X1827:$i, X1828:$i]:(~p6|(~fa2 @ X1827 @ X1828|flikes @ fjan @ fpepsi @ X1828)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 77.32/77.39 thf(c_0_52, plain, ![X1113:$i]:(((fa2 @ X1113 @ (esk521_1 @ X1113)|fa1 @ X1113 @ (esk520_1 @ X1113)|~flikes @ fjan @ fcola @ X1113|fvery_much_likes @ fjan @ fcola @ X1113|~fa3 @ f__0 @ X1113|~p338)&(~flikes @ fjan @ fcola @ (esk521_1 @ X1113)|fa1 @ X1113 @ (esk520_1 @ X1113)|~flikes @ fjan @ fcola @ X1113|fvery_much_likes @ fjan @ fcola @ X1113|~fa3 @ f__0 @ X1113|~p338))&((fa2 @ X1113 @ (esk521_1 @ X1113)|~flikes @ fjan @ fcola @ (esk520_1 @ X1113)|~flikes @ fjan @ fcola @ X1113|fvery_much_likes @ fjan @ fcola @ X1113|~fa3 @ f__0 @ X1113|~p338)&(~flikes @ fjan @ fcola @ (esk521_1 @ X1113)|~flikes @ fjan @ fcola @ (esk520_1 @ X1113)|~flikes @ fjan @ fcola @ X1113|fvery_much_likes @ fjan @ fcola @ X1113|~fa3 @ f__0 @ X1113|~p338))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax338])])])])])).
% 77.32/77.39 thf(c_0_53, plain, (p338|~p136), inference(split_conjunct,[status(thm)],[c_0_36])).
% 77.32/77.39 thf(c_0_54, plain, p136, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 77.32/77.39 thf(c_0_55, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fcola @ X4|~p11|~fa3 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_39])).
% 77.32/77.39 thf(c_0_56, plain, p11, inference(split_conjunct,[status(thm)],[ax1297])).
% 77.32/77.39 thf(c_0_57, plain, ![X3:mu, X2:mu, X1:$i]:(flikes @ X2 @ X3 @ f__0|~p35|~fa3 @ f__0 @ X1|~fvery_much_likes @ X2 @ X3 @ X1), inference(split_conjunct,[status(thm)],[c_0_40])).
% 77.32/77.39 thf(c_0_58, plain, p35, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])).
% 77.32/77.39 thf(c_0_59, plain, ![X2:mu, X3:mu]:~flikes @ X2 @ X3 @ f__0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 77.32/77.39 thf(c_0_60, plain, ((fa3 @ f__0 @ f__2|p139)&(flikes @ fpiotr @ fpepsi @ f__2|p139)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax139])])])).
% 77.32/77.39 thf(c_0_61, plain, (p31|~p139), inference(split_conjunct,[status(thm)],[c_0_45])).
% 77.32/77.39 thf(c_0_62, plain, ~p31, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
% 77.32/77.39 thf(c_0_63, plain, ![X413:$i]:(~p686|(~fa2 @ f__2 @ X413|(~flikes @ fjan @ fpepsi @ X413|flikes @ fjan @ fcola @ X413))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax686])])])).
% 77.32/77.39 thf(c_0_64, plain, (p686|~p185), inference(split_conjunct,[status(thm)],[c_0_48])).
% 77.32/77.39 thf(c_0_65, plain, p185, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50])])).
% 77.32/77.39 thf(c_0_66, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fpepsi @ X4|~p6|~fa2 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_51])).
% 77.32/77.39 thf(c_0_67, plain, p6, inference(split_conjunct,[status(thm)],[ax1302])).
% 77.32/77.39 thf(c_0_68, plain, ![X1:$i]:(fa2 @ X1 @ (esk521_1 @ X1)|fa1 @ X1 @ (esk520_1 @ X1)|fvery_much_likes @ fjan @ fcola @ X1|~flikes @ fjan @ fcola @ X1|~fa3 @ f__0 @ X1|~p338), inference(split_conjunct,[status(thm)],[c_0_52])).
% 77.32/77.39 thf(c_0_69, plain, p338, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])])).
% 77.32/77.39 thf(c_0_70, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fcola @ X1|~fa3 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])])).
% 77.32/77.39 thf(c_0_71, plain, ![X3:mu, X2:mu, X1:$i]:(~fa3 @ f__0 @ X1|~fvery_much_likes @ X2 @ X3 @ X1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58])]), c_0_59])).
% 77.32/77.39 thf(c_0_72, plain, (fa3 @ f__0 @ f__2|p139), inference(split_conjunct,[status(thm)],[c_0_60])).
% 77.32/77.39 thf(c_0_73, plain, ~p139, inference(sr,[status(thm)],[c_0_61, c_0_62])).
% 77.32/77.39 thf(c_0_74, plain, ![X1851:$i, X1852:$i]:(~p2|(~fa1 @ X1851 @ X1852|flikes @ fjan @ fcola @ X1852)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 77.32/77.39 thf(c_0_75, plain, ![X1:$i]:(flikes @ fjan @ fcola @ X1|~p686|~fa2 @ f__2 @ X1|~flikes @ fjan @ fpepsi @ X1), inference(split_conjunct,[status(thm)],[c_0_63])).
% 77.32/77.39 thf(c_0_76, plain, p686, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])])).
% 77.32/77.39 thf(c_0_77, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fpepsi @ X1|~fa2 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])])).
% 77.32/77.39 thf(c_0_78, plain, ![X1:$i]:(fa1 @ X1 @ (esk520_1 @ X1)|fa2 @ X1 @ (esk521_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_69])]), c_0_70]), c_0_71])).
% 77.32/77.39 thf(c_0_79, plain, fa3 @ f__0 @ f__2, inference(sr,[status(thm)],[c_0_72, c_0_73])).
% 77.32/77.39 thf(c_0_80, plain, ![X1:$i]:(fa2 @ X1 @ (esk521_1 @ X1)|fvery_much_likes @ fjan @ fcola @ X1|~flikes @ fjan @ fcola @ (esk520_1 @ X1)|~flikes @ fjan @ fcola @ X1|~fa3 @ f__0 @ X1|~p338), inference(split_conjunct,[status(thm)],[c_0_52])).
% 77.32/77.39 thf(c_0_81, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fcola @ X4|~p2|~fa1 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_74])).
% 77.32/77.39 thf(c_0_82, plain, p2, inference(split_conjunct,[status(thm)],[ax1306])).
% 77.32/77.39 thf(c_0_83, plain, ![X1:$i]:(fa1 @ X1 @ (esk520_1 @ X1)|fvery_much_likes @ fjan @ fcola @ X1|~flikes @ fjan @ fcola @ (esk521_1 @ X1)|~flikes @ fjan @ fcola @ X1|~fa3 @ f__0 @ X1|~p338), inference(split_conjunct,[status(thm)],[c_0_52])).
% 77.32/77.39 thf(c_0_84, plain, ![X1:$i]:(fvery_much_likes @ fjan @ fcola @ X1|~flikes @ fjan @ fcola @ (esk521_1 @ X1)|~flikes @ fjan @ fcola @ (esk520_1 @ X1)|~flikes @ fjan @ fcola @ X1|~fa3 @ f__0 @ X1|~p338), inference(split_conjunct,[status(thm)],[c_0_52])).
% 77.32/77.39 thf(c_0_85, plain, ![X1:$i]:(flikes @ fjan @ fcola @ X1|~fa2 @ f__2 @ X1), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])]), c_0_77])).
% 77.32/77.39 thf(c_0_86, plain, (fa1 @ f__2 @ (esk520_1 @ f__2)|fa2 @ f__2 @ (esk521_1 @ f__2)), inference(spm,[status(thm)],[c_0_78, c_0_79])).
% 77.32/77.39 thf(c_0_87, plain, ![X1:$i]:(fa2 @ X1 @ (esk521_1 @ X1)|~flikes @ fjan @ fcola @ (esk520_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_69])]), c_0_70]), c_0_71])).
% 77.32/77.39 thf(c_0_88, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fcola @ X1|~fa1 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82])])).
% 77.32/77.39 thf(c_0_89, plain, ![X1:$i]:(fa1 @ X1 @ (esk520_1 @ X1)|~flikes @ fjan @ fcola @ (esk521_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_69])]), c_0_70]), c_0_71])).
% 77.32/77.39 thf(c_0_90, plain, ![X1:$i]:(~flikes @ fjan @ fcola @ (esk520_1 @ X1)|~flikes @ fjan @ fcola @ (esk521_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_69])]), c_0_70]), c_0_71])).
% 77.32/77.39 thf(c_0_91, plain, (flikes @ fjan @ fcola @ (esk521_1 @ f__2)|fa1 @ f__2 @ (esk520_1 @ f__2)), inference(spm,[status(thm)],[c_0_85, c_0_86])).
% 77.32/77.39 thf(c_0_92, plain, (flikes @ fjan @ fcola @ (esk521_1 @ f__2)|~flikes @ fjan @ fcola @ (esk520_1 @ f__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_87]), c_0_79])])).
% 77.32/77.39 thf(c_0_93, plain, ![X1:$i]:(~flikes @ fjan @ fcola @ (esk521_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90])).
% 77.32/77.39 thf(c_0_94, plain, flikes @ fjan @ fcola @ (esk521_1 @ f__2), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_91]), c_0_92])).
% 77.32/77.39 thf(c_0_95, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_79])]), ['proof']).
% 77.32/77.39 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 77.32/77.39 thf(0,theorem,(![X1:$i]:(~((![X2:mu]:(~((~((![X3:mu]:(~((((likes @ X2) @ X3) @ X1)))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 77.32/77.39 % SZS output end Proof
%------------------------------------------------------------------------------