%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : AGT035^2 : 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 : n006.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 01:08:59 PM UTC 2025
% Result : Theorem 77.39s 77.40s
% Output : Proof 77.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : AGT035^2 : TPTP v9.2.0. Released v5.2.0.
% 0.06/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 8 12:29:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 77.39/77.40 % SZS status Theorem
% 77.39/77.40 % Mode: mode446
% 77.39/77.40 % Inferences: 22199
% 77.39/77.40 % SZS output start Proof
% 77.39/77.40 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 77.39/77.40 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 77.39/77.40 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 77.39/77.40 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 77.39/77.40 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 77.39/77.40 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 77.39/77.40 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 77.39/77.40 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 77.39/77.40 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 77.39/77.40 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 77.39/77.40 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 77.39/77.40 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 77.39/77.40 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 77.39/77.40 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 77.39/77.40 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 77.39/77.40 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 77.39/77.40 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 77.39/77.40 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 77.39/77.40 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 77.39/77.40 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 77.39/77.40 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 77.39/77.40 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 77.39/77.40 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)))))))).
% 77.39/77.40 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 77.39/77.40 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 77.39/77.40 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 77.39/77.40 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 77.39/77.40 thf(def_mvalid,definition,(mvalid = (!!))).
% 77.39/77.40 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 77.39/77.40 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 77.39/77.40 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 77.39/77.40 thf(conj,conjecture,((!!) @ ((likes @ jan) @ cola))).
% 77.39/77.40 thf(h0,negated_conjecture,(~(((!!) @ ((likes @ jan) @ cola)))),inference(assume_negation,[status(cth)],[conj])).
% 77.39/77.40 thf(ax1003, axiom, (~(p16)|p35), file('<stdin>', ax1003)).
% 77.39/77.40 thf(ax1005, axiom, (~(p14)|p33), file('<stdin>', ax1005)).
% 77.39/77.40 thf(ax946, axiom, (~(p35)|p97), file('<stdin>', ax946)).
% 77.39/77.40 thf(ax1022, axiom, p16, file('<stdin>', ax1022)).
% 77.39/77.40 thf(ax1018, axiom, (p1|~(p20)), file('<stdin>', ax1018)).
% 77.39/77.40 thf(ax1037, axiom, ~(p1), file('<stdin>', ax1037)).
% 77.39/77.40 thf(ax936, axiom, (~(p33)|p107), file('<stdin>', ax936)).
% 77.39/77.40 thf(ax1024, axiom, p14, file('<stdin>', ax1024)).
% 77.39/77.40 thf(ax683, axiom, (~(p97)|p353), file('<stdin>', ax683)).
% 77.39/77.40 thf(nax20, axiom, (p20<=flikes @ fjan @ fcola @ f__0), file('<stdin>', nax20)).
% 77.39/77.40 thf(ax1007, axiom, (~(p12)|~(p31)), file('<stdin>', ax1007)).
% 77.39/77.40 thf(ax887, axiom, (~(p9)|p156), file('<stdin>', ax887)).
% 77.39/77.40 thf(ax733, axiom, (~(p107)|p303), file('<stdin>', ax733)).
% 77.39/77.40 thf(pax11, axiom, (p11=>![X57:$i, X61:$i]:(fa3 @ X57 @ X61=>flikes @ fjan @ fcola @ X61)), file('<stdin>', pax11)).
% 77.39/77.40 thf(pax353, axiom, (p353=>(~(![X31:$i]:(fa3 @ f__0 @ X31=>~(fvery_much_likes @ fjan @ fcola @ X31)))=>flikes @ fjan @ fcola @ f__0)), file('<stdin>', pax353)).
% 77.39/77.40 thf(ax933, axiom, (p31|~(p110)), file('<stdin>', ax933)).
% 77.39/77.40 thf(ax1026, axiom, p12, file('<stdin>', ax1026)).
% 77.39/77.40 thf(ax400, axiom, (~(p156)|p644), file('<stdin>', ax400)).
% 77.39/77.40 thf(ax1029, axiom, p9, file('<stdin>', ax1029)).
% 77.39/77.40 thf(pax6, axiom, (p6=>![X57:$i, X64:$i]:(fa2 @ X57 @ X64=>flikes @ fjan @ fpepsi @ X64)), file('<stdin>', pax6)).
% 77.39/77.40 thf(pax303, axiom, (p303=>![X31:$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>', pax303)).
% 77.39/77.40 thf(ax1027, axiom, p11, file('<stdin>', ax1027)).
% 77.39/77.40 thf(nax110, axiom, (p110<=(fa3 @ f__0 @ f__2=>~(flikes @ fpiotr @ fpepsi @ f__2))), file('<stdin>', nax110)).
% 77.39/77.40 thf(pax644, axiom, (p644=>![X27:$i]:(fa2 @ f__2 @ X27=>(flikes @ fjan @ fpepsi @ X27=>flikes @ fjan @ fcola @ X27))), file('<stdin>', pax644)).
% 77.39/77.40 thf(ax1032, axiom, p6, file('<stdin>', ax1032)).
% 77.39/77.40 thf(pax2, axiom, (p2=>![X57:$i, X66:$i]:(fa1 @ X57 @ X66=>flikes @ fjan @ fcola @ X66)), file('<stdin>', pax2)).
% 77.39/77.40 thf(ax1036, axiom, p2, file('<stdin>', ax1036)).
% 77.39/77.40 thf(c_0_27, plain, (~p16|p35), inference(fof_simplification,[status(thm)],[ax1003])).
% 77.39/77.40 thf(c_0_28, plain, (~p14|p33), inference(fof_simplification,[status(thm)],[ax1005])).
% 77.39/77.40 thf(c_0_29, plain, (~p35|p97), inference(fof_simplification,[status(thm)],[ax946])).
% 77.39/77.40 thf(c_0_30, plain, (p35|~p16), inference(split_conjunct,[status(thm)],[c_0_27])).
% 77.39/77.40 thf(c_0_31, plain, p16, inference(split_conjunct,[status(thm)],[ax1022])).
% 77.39/77.40 thf(c_0_32, plain, (p1|~p20), inference(fof_simplification,[status(thm)],[ax1018])).
% 77.39/77.40 thf(c_0_33, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1037])).
% 77.39/77.40 thf(c_0_34, plain, (~p33|p107), inference(fof_simplification,[status(thm)],[ax936])).
% 77.39/77.40 thf(c_0_35, plain, (p33|~p14), inference(split_conjunct,[status(thm)],[c_0_28])).
% 77.39/77.40 thf(c_0_36, plain, p14, inference(split_conjunct,[status(thm)],[ax1024])).
% 77.39/77.40 thf(c_0_37, plain, (~p97|p353), inference(fof_simplification,[status(thm)],[ax683])).
% 77.39/77.40 thf(c_0_38, plain, (p97|~p35), inference(split_conjunct,[status(thm)],[c_0_29])).
% 77.39/77.40 thf(c_0_39, plain, p35, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 77.39/77.40 thf(c_0_40, plain, (~flikes @ fjan @ fcola @ f__0|p20), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax20])])).
% 77.39/77.40 thf(c_0_41, plain, (p1|~p20), inference(split_conjunct,[status(thm)],[c_0_32])).
% 77.39/77.40 thf(c_0_42, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_33])).
% 77.39/77.40 thf(c_0_43, plain, (~p12|~p31), inference(fof_simplification,[status(thm)],[ax1007])).
% 77.39/77.40 thf(c_0_44, plain, (~p9|p156), inference(fof_simplification,[status(thm)],[ax887])).
% 77.39/77.40 thf(c_0_45, plain, (~p107|p303), inference(fof_simplification,[status(thm)],[ax733])).
% 77.39/77.40 thf(c_0_46, plain, (p107|~p33), inference(split_conjunct,[status(thm)],[c_0_34])).
% 77.39/77.40 thf(c_0_47, plain, p33, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 77.39/77.40 thf(c_0_48, plain, ![X1793:$i, X1794:$i]:(~p11|(~fa3 @ X1793 @ X1794|flikes @ fjan @ fcola @ X1794)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax11])])])).
% 77.39/77.40 thf(c_0_49, plain, ![X949:$i]:(~p353|(~fa3 @ f__0 @ X949|~fvery_much_likes @ fjan @ fcola @ X949|flikes @ fjan @ fcola @ f__0)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax353])])])])).
% 77.39/77.40 thf(c_0_50, plain, (p353|~p97), inference(split_conjunct,[status(thm)],[c_0_37])).
% 77.39/77.40 thf(c_0_51, plain, p97, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 77.39/77.40 thf(c_0_52, plain, (p20|~flikes @ fjan @ fcola @ f__0), inference(split_conjunct,[status(thm)],[c_0_40])).
% 77.39/77.40 thf(c_0_53, plain, ~p20, inference(sr,[status(thm)],[c_0_41, c_0_42])).
% 77.39/77.40 thf(c_0_54, plain, (p31|~p110), inference(fof_simplification,[status(thm)],[ax933])).
% 77.39/77.40 thf(c_0_55, plain, (~p12|~p31), inference(split_conjunct,[status(thm)],[c_0_43])).
% 77.39/77.40 thf(c_0_56, plain, p12, inference(split_conjunct,[status(thm)],[ax1026])).
% 77.39/77.40 thf(c_0_57, plain, (~p156|p644), inference(fof_simplification,[status(thm)],[ax400])).
% 77.39/77.40 thf(c_0_58, plain, (p156|~p9), inference(split_conjunct,[status(thm)],[c_0_44])).
% 77.39/77.40 thf(c_0_59, plain, p9, inference(split_conjunct,[status(thm)],[ax1029])).
% 77.39/77.40 thf(c_0_60, plain, ![X1817:$i, X1818:$i]:(~p6|(~fa2 @ X1817 @ X1818|flikes @ fjan @ fpepsi @ X1818)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 77.39/77.40 thf(c_0_61, plain, ![X1117:$i]:(((fa2 @ X1117 @ (esk527_1 @ X1117)|fa1 @ X1117 @ (esk526_1 @ X1117)|~flikes @ fjan @ fcola @ X1117|fvery_much_likes @ fjan @ fcola @ X1117|~fa3 @ f__0 @ X1117|~p303)&(~flikes @ fjan @ fcola @ (esk527_1 @ X1117)|fa1 @ X1117 @ (esk526_1 @ X1117)|~flikes @ fjan @ fcola @ X1117|fvery_much_likes @ fjan @ fcola @ X1117|~fa3 @ f__0 @ X1117|~p303))&((fa2 @ X1117 @ (esk527_1 @ X1117)|~flikes @ fjan @ fcola @ (esk526_1 @ X1117)|~flikes @ fjan @ fcola @ X1117|fvery_much_likes @ fjan @ fcola @ X1117|~fa3 @ f__0 @ X1117|~p303)&(~flikes @ fjan @ fcola @ (esk527_1 @ X1117)|~flikes @ fjan @ fcola @ (esk526_1 @ X1117)|~flikes @ fjan @ fcola @ X1117|fvery_much_likes @ fjan @ fcola @ X1117|~fa3 @ f__0 @ X1117|~p303))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax303])])])])])).
% 77.39/77.40 thf(c_0_62, plain, (p303|~p107), inference(split_conjunct,[status(thm)],[c_0_45])).
% 77.39/77.40 thf(c_0_63, plain, p107, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
% 77.39/77.40 thf(c_0_64, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fcola @ X4|~p11|~fa3 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_48])).
% 77.39/77.40 thf(c_0_65, plain, p11, inference(split_conjunct,[status(thm)],[ax1027])).
% 77.39/77.40 thf(c_0_66, plain, ![X1:$i]:(flikes @ fjan @ fcola @ f__0|~p353|~fa3 @ f__0 @ X1|~fvery_much_likes @ fjan @ fcola @ X1), inference(split_conjunct,[status(thm)],[c_0_49])).
% 77.39/77.40 thf(c_0_67, plain, p353, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_51])])).
% 77.39/77.40 thf(c_0_68, plain, ~flikes @ fjan @ fcola @ f__0, inference(sr,[status(thm)],[c_0_52, c_0_53])).
% 77.39/77.40 thf(c_0_69, plain, ((fa3 @ f__0 @ f__2|p110)&(flikes @ fpiotr @ fpepsi @ f__2|p110)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax110])])])).
% 77.39/77.40 thf(c_0_70, plain, (p31|~p110), inference(split_conjunct,[status(thm)],[c_0_54])).
% 77.39/77.40 thf(c_0_71, plain, ~p31, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])])).
% 77.39/77.40 thf(c_0_72, plain, ![X417:$i]:(~p644|(~fa2 @ f__2 @ X417|(~flikes @ fjan @ fpepsi @ X417|flikes @ fjan @ fcola @ X417))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax644])])])).
% 77.39/77.40 thf(c_0_73, plain, (p644|~p156), inference(split_conjunct,[status(thm)],[c_0_57])).
% 77.39/77.40 thf(c_0_74, plain, p156, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])])).
% 77.39/77.40 thf(c_0_75, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fpepsi @ X4|~p6|~fa2 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_60])).
% 77.39/77.40 thf(c_0_76, plain, p6, inference(split_conjunct,[status(thm)],[ax1032])).
% 77.39/77.40 thf(c_0_77, plain, ![X1:$i]:(fa2 @ X1 @ (esk527_1 @ X1)|fa1 @ X1 @ (esk526_1 @ X1)|fvery_much_likes @ fjan @ fcola @ X1|~flikes @ fjan @ fcola @ X1|~fa3 @ f__0 @ X1|~p303), inference(split_conjunct,[status(thm)],[c_0_61])).
% 77.39/77.40 thf(c_0_78, plain, p303, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])).
% 77.39/77.40 thf(c_0_79, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fcola @ X1|~fa3 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])])).
% 77.39/77.40 thf(c_0_80, plain, ![X1:$i]:(~fvery_much_likes @ fjan @ fcola @ X1|~fa3 @ f__0 @ X1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])]), c_0_68])).
% 77.39/77.40 thf(c_0_81, plain, (fa3 @ f__0 @ f__2|p110), inference(split_conjunct,[status(thm)],[c_0_69])).
% 77.39/77.40 thf(c_0_82, plain, ~p110, inference(sr,[status(thm)],[c_0_70, c_0_71])).
% 77.39/77.40 thf(c_0_83, plain, ![X1841:$i, X1842:$i]:(~p2|(~fa1 @ X1841 @ X1842|flikes @ fjan @ fcola @ X1842)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 77.39/77.40 thf(c_0_84, plain, ![X1:$i]:(flikes @ fjan @ fcola @ X1|~p644|~fa2 @ f__2 @ X1|~flikes @ fjan @ fpepsi @ X1), inference(split_conjunct,[status(thm)],[c_0_72])).
% 77.39/77.40 thf(c_0_85, plain, p644, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_74])])).
% 77.39/77.40 thf(c_0_86, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fpepsi @ X1|~fa2 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])])).
% 77.39/77.40 thf(c_0_87, plain, ![X1:$i]:(fa1 @ X1 @ (esk526_1 @ X1)|fa2 @ X1 @ (esk527_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78])]), c_0_79]), c_0_80])).
% 77.39/77.40 thf(c_0_88, plain, fa3 @ f__0 @ f__2, inference(sr,[status(thm)],[c_0_81, c_0_82])).
% 77.39/77.40 thf(c_0_89, plain, ![X1:$i]:(fa2 @ X1 @ (esk527_1 @ X1)|fvery_much_likes @ fjan @ fcola @ X1|~flikes @ fjan @ fcola @ (esk526_1 @ X1)|~flikes @ fjan @ fcola @ X1|~fa3 @ f__0 @ X1|~p303), inference(split_conjunct,[status(thm)],[c_0_61])).
% 77.39/77.40 thf(c_0_90, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fcola @ X4|~p2|~fa1 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_83])).
% 77.39/77.40 thf(c_0_91, plain, p2, inference(split_conjunct,[status(thm)],[ax1036])).
% 77.39/77.40 thf(c_0_92, plain, ![X1:$i]:(fa1 @ X1 @ (esk526_1 @ X1)|fvery_much_likes @ fjan @ fcola @ X1|~flikes @ fjan @ fcola @ (esk527_1 @ X1)|~flikes @ fjan @ fcola @ X1|~fa3 @ f__0 @ X1|~p303), inference(split_conjunct,[status(thm)],[c_0_61])).
% 77.39/77.40 thf(c_0_93, plain, ![X1:$i]:(fvery_much_likes @ fjan @ fcola @ X1|~flikes @ fjan @ fcola @ (esk527_1 @ X1)|~flikes @ fjan @ fcola @ (esk526_1 @ X1)|~flikes @ fjan @ fcola @ X1|~fa3 @ f__0 @ X1|~p303), inference(split_conjunct,[status(thm)],[c_0_61])).
% 77.39/77.40 thf(c_0_94, plain, ![X1:$i]:(flikes @ fjan @ fcola @ X1|~fa2 @ f__2 @ X1), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_85])]), c_0_86])).
% 77.39/77.40 thf(c_0_95, plain, (fa1 @ f__2 @ (esk526_1 @ f__2)|fa2 @ f__2 @ (esk527_1 @ f__2)), inference(spm,[status(thm)],[c_0_87, c_0_88])).
% 77.39/77.40 thf(c_0_96, plain, ![X1:$i]:(fa2 @ X1 @ (esk527_1 @ X1)|~flikes @ fjan @ fcola @ (esk526_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_78])]), c_0_79]), c_0_80])).
% 77.39/77.40 thf(c_0_97, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fcola @ X1|~fa1 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_91])])).
% 77.39/77.40 thf(c_0_98, plain, ![X1:$i]:(fa1 @ X1 @ (esk526_1 @ X1)|~flikes @ fjan @ fcola @ (esk527_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92, c_0_78])]), c_0_79]), c_0_80])).
% 77.39/77.40 thf(c_0_99, plain, ![X1:$i]:(~flikes @ fjan @ fcola @ (esk526_1 @ X1)|~flikes @ fjan @ fcola @ (esk527_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_78])]), c_0_79]), c_0_80])).
% 77.39/77.40 thf(c_0_100, plain, (flikes @ fjan @ fcola @ (esk527_1 @ f__2)|fa1 @ f__2 @ (esk526_1 @ f__2)), inference(spm,[status(thm)],[c_0_94, c_0_95])).
% 77.39/77.40 thf(c_0_101, plain, (flikes @ fjan @ fcola @ (esk527_1 @ f__2)|~flikes @ fjan @ fcola @ (esk526_1 @ f__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_96]), c_0_88])])).
% 77.39/77.40 thf(c_0_102, plain, ![X1:$i]:(~flikes @ fjan @ fcola @ (esk527_1 @ X1)|~fa3 @ f__0 @ X1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_99])).
% 77.39/77.40 thf(c_0_103, plain, flikes @ fjan @ fcola @ (esk527_1 @ f__2), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_100]), c_0_101])).
% 77.39/77.40 thf(c_0_104, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_88])]), ['proof']).
% 77.39/77.40 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 77.39/77.40 thf(0,theorem,((!!) @ ((likes @ jan) @ cola)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 77.39/77.40 % SZS output end Proof
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