TSTP Solution File: AGT032^2 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : AGT032^2 : 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 : n029.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 12:03:41 EDT 2022
% Result : Theorem 43.90s 44.24s
% Output : Proof 43.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT032^2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 4 03:39:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 43.90/44.24 % SZS status Theorem
% 43.90/44.24 % Mode: mode459
% 43.90/44.24 % Inferences: 77
% 43.90/44.24 % SZS output start Proof
% 43.90/44.24 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 43.90/44.24 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 43.90/44.24 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 43.90/44.24 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 43.90/44.24 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 43.90/44.24 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 43.90/44.24 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 43.90/44.24 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 43.90/44.24 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 43.90/44.24 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 43.90/44.24 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 43.90/44.24 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 43.90/44.24 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 43.90/44.24 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 43.90/44.24 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 43.90/44.24 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 43.90/44.24 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 43.90/44.24 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 43.90/44.24 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 43.90/44.24 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 43.90/44.24 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 43.90/44.24 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 43.90/44.24 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)))))))).
% 43.90/44.24 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 43.90/44.24 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 43.90/44.24 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 43.90/44.24 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 43.90/44.24 thf(def_mvalid,definition,(mvalid = (!!))).
% 43.90/44.24 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 43.90/44.24 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 43.90/44.24 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 43.90/44.24 thf(conj,conjecture,(![X1:$i]:(~((![X2:mu]:(~((~((![X3:mu]:(~((((likes @ X2) @ X3) @ X1))))))))))))).
% 43.90/44.24 thf(h0,negated_conjecture,(~((![X1:$i]:(~((![X2:mu]:(![X3:mu]:(~((((likes @ X2) @ X3) @ X1)))))))))),inference(assume_negation,[status(cth)],[conj])).
% 43.90/44.24 thf(pax11, axiom, (p11=>![X19:$i, X22:$i]:(fa3 @ X19 @ X22=>flikes @ fjan @ fcola @ X22)), file('<stdin>', pax11)).
% 43.90/44.24 thf(pax12, axiom, (p12=>![X19:$i]:~(![X22:$i]:(fa3 @ X19 @ X22=>~(flikes @ fpiotr @ fpepsi @ X22)))), file('<stdin>', pax12)).
% 43.90/44.24 thf(pax14, axiom, (p14=>![X19:$i, X17:mu, X20:mu, X18:$i]:(fa3 @ X19 @ X18=>(~((flikes @ X17 @ X20 @ X18=>(![X21:$i]:(fa1 @ X18 @ X21=>flikes @ X17 @ X20 @ X21)=>~(![X21:$i]:(fa2 @ X18 @ X21=>flikes @ X17 @ X20 @ X21)))))=>fvery_much_likes @ X17 @ X20 @ X18))), file('<stdin>', pax14)).
% 43.90/44.24 thf(ax87, axiom, p11, file('<stdin>', ax87)).
% 43.90/44.24 thf(ax86, axiom, p12, file('<stdin>', ax86)).
% 43.90/44.24 thf(ax84, axiom, p14, file('<stdin>', ax84)).
% 43.90/44.24 thf(pax6, axiom, (p6=>![X19:$i, X25:$i]:(fa2 @ X19 @ X25=>flikes @ fjan @ fpepsi @ X25)), file('<stdin>', pax6)).
% 43.90/44.24 thf(pax2, axiom, (p2=>![X19:$i, X27:$i]:(fa1 @ X19 @ X27=>flikes @ fjan @ fcola @ X27)), file('<stdin>', pax2)).
% 43.90/44.24 thf(ax92, axiom, p6, file('<stdin>', ax92)).
% 43.90/44.24 thf(pax9, axiom, (p9=>![X19:$i, X23:mu, X24:$i]:(fa2 @ X19 @ X24=>(flikes @ X23 @ fpepsi @ X24=>flikes @ X23 @ fcola @ X24))), file('<stdin>', pax9)).
% 43.90/44.24 thf(ax96, axiom, p2, file('<stdin>', ax96)).
% 43.90/44.24 thf(ax89, axiom, p9, file('<stdin>', ax89)).
% 43.90/44.24 thf(pax16, axiom, (p16=>![X19:$i, X17:mu, X20:mu]:(~(![X18:$i]:(fa3 @ X19 @ X18=>~(fvery_much_likes @ X17 @ X20 @ X18)))=>flikes @ X17 @ X20 @ X19)), file('<stdin>', pax16)).
% 43.90/44.24 thf(ax82, axiom, p16, file('<stdin>', ax82)).
% 43.90/44.24 thf(nax1, axiom, (p1<=![X19:$i]:~(![X28:mu, X29:mu]:~(flikes @ X28 @ X29 @ X19))), file('<stdin>', nax1)).
% 43.90/44.24 thf(ax97, axiom, ~(p1), file('<stdin>', ax97)).
% 43.90/44.24 thf(c_0_16, plain, ![X292:$i, X293:$i]:(~p11|(~fa3 @ X292 @ X293|flikes @ fjan @ fcola @ X293)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax11])])])).
% 43.90/44.24 thf(c_0_17, plain, ![X288:$i]:((fa3 @ X288 @ (esk130_1 @ X288)|~p12)&(flikes @ fpiotr @ fpepsi @ (esk130_1 @ X288)|~p12)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax12])])])])])])).
% 43.90/44.24 thf(c_0_18, plain, ![X272:$i, X273:mu, X274:mu, X275:$i]:(((fa2 @ X275 @ (esk123_4 @ X272 @ X273 @ X274 @ X275)|fa1 @ X275 @ (esk122_4 @ X272 @ X273 @ X274 @ X275)|~flikes @ X273 @ X274 @ X275|fvery_much_likes @ X273 @ X274 @ X275|~fa3 @ X272 @ X275|~p14)&(~flikes @ X273 @ X274 @ (esk123_4 @ X272 @ X273 @ X274 @ X275)|fa1 @ X275 @ (esk122_4 @ X272 @ X273 @ X274 @ X275)|~flikes @ X273 @ X274 @ X275|fvery_much_likes @ X273 @ X274 @ X275|~fa3 @ X272 @ X275|~p14))&((fa2 @ X275 @ (esk123_4 @ X272 @ X273 @ X274 @ X275)|~flikes @ X273 @ X274 @ (esk122_4 @ X272 @ X273 @ X274 @ X275)|~flikes @ X273 @ X274 @ X275|fvery_much_likes @ X273 @ X274 @ X275|~fa3 @ X272 @ X275|~p14)&(~flikes @ X273 @ X274 @ (esk123_4 @ X272 @ X273 @ X274 @ X275)|~flikes @ X273 @ X274 @ (esk122_4 @ X272 @ X273 @ X274 @ X275)|~flikes @ X273 @ X274 @ X275|fvery_much_likes @ X273 @ X274 @ X275|~fa3 @ X272 @ X275|~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])])])])])).
% 43.90/44.24 thf(c_0_19, plain, ![X3:$i, X4:$i]:(flikes @ fjan @ fcola @ X4|~p11|~fa3 @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_16])).
% 43.90/44.24 thf(c_0_20, plain, p11, inference(split_conjunct,[status(thm)],[ax87])).
% 43.90/44.24 thf(c_0_21, plain, ![X3:$i]:(fa3 @ X3 @ (esk130_1 @ X3)|~p12), inference(split_conjunct,[status(thm)],[c_0_17])).
% 43.90/44.24 thf(c_0_22, plain, p12, inference(split_conjunct,[status(thm)],[ax86])).
% 43.90/44.24 thf(c_0_23, plain, ![X1:mu, X2:mu, X4:$i, X3:$i]:(fa2 @ X3 @ (esk123_4 @ X4 @ X1 @ X2 @ X3)|fa1 @ X3 @ (esk122_4 @ X4 @ X1 @ X2 @ X3)|fvery_much_likes @ X1 @ X2 @ X3|~flikes @ X1 @ X2 @ X3|~fa3 @ X4 @ X3|~p14), inference(split_conjunct,[status(thm)],[c_0_18])).
% 43.90/44.24 thf(c_0_24, plain, p14, inference(split_conjunct,[status(thm)],[ax84])).
% 43.90/44.24 thf(c_0_25, plain, ![X4:$i, X3:$i]:(flikes @ fjan @ fcola @ X3|~fa3 @ X4 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 43.90/44.24 thf(c_0_26, plain, ![X3:$i]:fa3 @ X3 @ (esk130_1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 43.90/44.24 thf(c_0_27, plain, ![X316:$i, X317:$i]:(~p6|(~fa2 @ X316 @ X317|flikes @ fjan @ fpepsi @ X317)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 43.90/44.24 thf(c_0_28, plain, ![X1:mu, X2:mu, X4:$i, X3:$i]:(fa1 @ X3 @ (esk122_4 @ X4 @ X1 @ X2 @ X3)|fa2 @ X3 @ (esk123_4 @ X4 @ X1 @ X2 @ X3)|fvery_much_likes @ X1 @ X2 @ X3|~flikes @ X1 @ X2 @ X3|~fa3 @ X4 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 43.90/44.24 thf(c_0_29, plain, ![X3:$i]:flikes @ fjan @ fcola @ (esk130_1 @ X3), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 43.90/44.24 thf(c_0_30, plain, ![X340:$i, X341:$i]:(~p2|(~fa1 @ X340 @ X341|flikes @ fjan @ fcola @ X341)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 43.90/44.24 thf(c_0_31, plain, ![X3:$i, X4:$i]:(flikes @ fjan @ fpepsi @ X4|~p6|~fa2 @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_27])).
% 43.90/44.24 thf(c_0_32, plain, p6, inference(split_conjunct,[status(thm)],[ax92])).
% 43.90/44.24 thf(c_0_33, plain, ![X4:$i, X3:$i]:(fa1 @ (esk130_1 @ X3) @ (esk122_4 @ X4 @ fjan @ fcola @ (esk130_1 @ X3))|fa2 @ (esk130_1 @ X3) @ (esk123_4 @ X4 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)|~fa3 @ X4 @ (esk130_1 @ X3)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 43.90/44.24 thf(c_0_34, plain, ![X302:$i, X303:mu, X304:$i]:(~p9|(~fa2 @ X302 @ X304|(~flikes @ X303 @ fpepsi @ X304|flikes @ X303 @ fcola @ X304))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])])).
% 43.90/44.24 thf(c_0_35, plain, ![X3:$i, X4:$i]:(flikes @ fjan @ fcola @ X4|~p2|~fa1 @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_30])).
% 43.90/44.24 thf(c_0_36, plain, p2, inference(split_conjunct,[status(thm)],[ax96])).
% 43.90/44.24 thf(c_0_37, plain, ![X4:$i, X3:$i]:(flikes @ fjan @ fpepsi @ X3|~fa2 @ X4 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
% 43.90/44.24 thf(c_0_38, plain, ![X3:$i]:(fa2 @ (esk130_1 @ X3) @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fa1 @ (esk130_1 @ X3) @ (esk122_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)), inference(spm,[status(thm)],[c_0_33, c_0_26])).
% 43.90/44.24 thf(c_0_39, plain, ![X1:mu, X3:$i, X4:$i]:(flikes @ X1 @ fcola @ X4|~p9|~fa2 @ X3 @ X4|~flikes @ X1 @ fpepsi @ X4), inference(split_conjunct,[status(thm)],[c_0_34])).
% 43.90/44.24 thf(c_0_40, plain, p9, inference(split_conjunct,[status(thm)],[ax89])).
% 43.90/44.24 thf(c_0_41, plain, ![X4:$i, X3:$i]:(flikes @ fjan @ fcola @ X3|~fa1 @ X4 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 43.90/44.24 thf(c_0_42, plain, ![X3:$i]:(flikes @ fjan @ fpepsi @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fa1 @ (esk130_1 @ X3) @ (esk122_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
% 43.90/44.24 thf(c_0_43, plain, ![X1:mu, X4:$i, X3:$i]:(flikes @ X1 @ fcola @ X3|~flikes @ X1 @ fpepsi @ X3|~fa2 @ X4 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 43.90/44.24 thf(c_0_44, plain, ![X3:$i]:(flikes @ fjan @ fpepsi @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|flikes @ fjan @ fcola @ (esk122_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
% 43.90/44.24 thf(c_0_45, plain, ![X1:mu, X2:mu, X4:$i, X3:$i]:(fa2 @ X3 @ (esk123_4 @ X4 @ X1 @ X2 @ X3)|fvery_much_likes @ X1 @ X2 @ X3|~flikes @ X1 @ X2 @ (esk122_4 @ X4 @ X1 @ X2 @ X3)|~flikes @ X1 @ X2 @ X3|~fa3 @ X4 @ X3|~p14), inference(split_conjunct,[status(thm)],[c_0_18])).
% 43.90/44.24 thf(c_0_46, plain, ![X4:$i, X3:$i]:(flikes @ fjan @ fcola @ (esk122_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|flikes @ fjan @ fcola @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)|~fa2 @ X4 @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 43.90/44.24 thf(c_0_47, plain, ![X1:mu, X2:mu, X4:$i, X3:$i]:(fa2 @ X3 @ (esk123_4 @ X4 @ X1 @ X2 @ X3)|fvery_much_likes @ X1 @ X2 @ X3|~flikes @ X1 @ X2 @ (esk122_4 @ X4 @ X1 @ X2 @ X3)|~flikes @ X1 @ X2 @ X3|~fa3 @ X4 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_24])])).
% 43.90/44.24 thf(c_0_48, plain, ![X3:$i]:(flikes @ fjan @ fcola @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|flikes @ fjan @ fcola @ (esk122_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_38]), c_0_41])).
% 43.90/44.24 thf(c_0_49, plain, ![X3:$i]:(flikes @ fjan @ fcola @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fa2 @ (esk130_1 @ X3) @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_29]), c_0_26])])).
% 43.90/44.24 thf(c_0_50, plain, ![X3:$i]:(flikes @ fjan @ fcola @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|flikes @ fjan @ fpepsi @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)), inference(spm,[status(thm)],[c_0_37, c_0_49])).
% 43.90/44.24 thf(c_0_51, plain, ![X1:mu, X2:mu, X3:$i, X4:$i]:(fa1 @ X4 @ (esk122_4 @ X3 @ X1 @ X2 @ X4)|fvery_much_likes @ X1 @ X2 @ X4|~flikes @ X1 @ X2 @ (esk123_4 @ X3 @ X1 @ X2 @ X4)|~flikes @ X1 @ X2 @ X4|~fa3 @ X3 @ X4|~p14), inference(split_conjunct,[status(thm)],[c_0_18])).
% 43.90/44.24 thf(c_0_52, plain, ![X4:$i, X3:$i]:(flikes @ fjan @ fcola @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)|~fa2 @ X4 @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))), inference(spm,[status(thm)],[c_0_43, c_0_50])).
% 43.90/44.24 thf(c_0_53, plain, ![X1:mu, X2:mu, X4:$i, X3:$i]:(fa1 @ X3 @ (esk122_4 @ X4 @ X1 @ X2 @ X3)|fvery_much_likes @ X1 @ X2 @ X3|~flikes @ X1 @ X2 @ (esk123_4 @ X4 @ X1 @ X2 @ X3)|~flikes @ X1 @ X2 @ X3|~fa3 @ X4 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_24])])).
% 43.90/44.24 thf(c_0_54, plain, ![X3:$i]:(flikes @ fjan @ fcola @ (esk123_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)), inference(spm,[status(thm)],[c_0_52, c_0_49])).
% 43.90/44.24 thf(c_0_55, plain, ![X256:$i, X257:mu, X258:mu, X259:$i]:(~p16|(~fa3 @ X256 @ X259|~fvery_much_likes @ X257 @ X258 @ X259|flikes @ X257 @ X258 @ X256)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax16])])])])).
% 43.90/44.24 thf(c_0_56, plain, ![X1:mu, X2:mu, X3:$i, X4:$i]:(fvery_much_likes @ X1 @ X2 @ X4|~flikes @ X1 @ X2 @ (esk123_4 @ X3 @ X1 @ X2 @ X4)|~flikes @ X1 @ X2 @ (esk122_4 @ X3 @ X1 @ X2 @ X4)|~flikes @ X1 @ X2 @ X4|~fa3 @ X3 @ X4|~p14), inference(split_conjunct,[status(thm)],[c_0_18])).
% 43.90/44.24 thf(c_0_57, plain, ![X3:$i]:(fa1 @ (esk130_1 @ X3) @ (esk122_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_29]), c_0_26])])).
% 43.90/44.24 thf(c_0_58, plain, ![X1:mu, X2:mu, X3:$i, X4:$i]:(flikes @ X1 @ X2 @ X3|~p16|~fa3 @ X3 @ X4|~fvery_much_likes @ X1 @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_55])).
% 43.90/44.24 thf(c_0_59, plain, p16, inference(split_conjunct,[status(thm)],[ax82])).
% 43.90/44.24 thf(c_0_60, plain, ![X1:mu, X2:mu, X4:$i, X3:$i]:(fvery_much_likes @ X1 @ X2 @ X3|~flikes @ X1 @ X2 @ (esk122_4 @ X4 @ X1 @ X2 @ X3)|~flikes @ X1 @ X2 @ (esk123_4 @ X4 @ X1 @ X2 @ X3)|~flikes @ X1 @ X2 @ X3|~fa3 @ X4 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_24])])).
% 43.90/44.24 thf(c_0_61, plain, ![X3:$i]:(flikes @ fjan @ fcola @ (esk122_4 @ X3 @ fjan @ fcola @ (esk130_1 @ X3))|fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3)), inference(spm,[status(thm)],[c_0_41, c_0_57])).
% 43.90/44.24 thf(c_0_62, plain, ![X348:mu, X349:mu]:(~flikes @ X348 @ X349 @ esk160_0|p1), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])])])])).
% 43.90/44.24 thf(c_0_63, plain, ~p1, inference(fof_simplification,[status(thm)],[ax97])).
% 43.90/44.24 thf(c_0_64, plain, ![X1:mu, X2:mu, X3:$i, X4:$i]:(flikes @ X1 @ X2 @ X3|~fvery_much_likes @ X1 @ X2 @ X4|~fa3 @ X3 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])])).
% 43.90/44.24 thf(c_0_65, plain, ![X3:$i]:fvery_much_likes @ fjan @ fcola @ (esk130_1 @ X3), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_29]), c_0_26])]), c_0_54])).
% 43.90/44.24 thf(c_0_66, plain, ![X1:mu, X2:mu]:(p1|~flikes @ X1 @ X2 @ esk160_0), inference(split_conjunct,[status(thm)],[c_0_62])).
% 43.90/44.24 thf(c_0_67, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_63])).
% 43.90/44.24 thf(c_0_68, plain, ![X3:$i, X4:$i]:(flikes @ fjan @ fcola @ X3|~fa3 @ X3 @ (esk130_1 @ X4)), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 43.90/44.24 thf(c_0_69, plain, ![X1:mu, X2:mu]:~flikes @ X1 @ X2 @ esk160_0, inference(sr,[status(thm)],[c_0_66, c_0_67])).
% 43.90/44.24 thf(c_0_70, plain, ![X3:$i]:flikes @ fjan @ fcola @ X3, inference(spm,[status(thm)],[c_0_68, c_0_26])).
% 43.90/44.24 thf(c_0_71, plain, ($false), inference(spm,[status(thm)],[c_0_69, c_0_70]), ['proof']).
% 43.90/44.24 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 43.90/44.24 thf(0,theorem,(![X1:$i]:(~((![X2:mu]:(~((~((![X3:mu]:(~((((likes @ X2) @ X3) @ X1)))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 43.90/44.24 % SZS output end Proof
%------------------------------------------------------------------------------