TSTP Solution File: AGT035^2 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : AGT035^2 : 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 43.91s 44.15s
% Output : Proof 43.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : AGT035^2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 4 03:33:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 43.91/44.15 % SZS status Theorem
% 43.91/44.15 % Mode: mode459
% 43.91/44.15 % Inferences: 81
% 43.91/44.15 % SZS output start Proof
% 43.91/44.15 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 43.91/44.15 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 43.91/44.15 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 43.91/44.15 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 43.91/44.15 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 43.91/44.15 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 43.91/44.15 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 43.91/44.15 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 43.91/44.15 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 43.91/44.15 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 43.91/44.15 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 43.91/44.15 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 43.91/44.15 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 43.91/44.15 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 43.91/44.15 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 43.91/44.15 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 43.91/44.15 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 43.91/44.15 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 43.91/44.15 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 43.91/44.15 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 43.91/44.15 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 43.91/44.15 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 43.91/44.15 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)))))))).
% 43.91/44.15 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 43.91/44.15 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 43.91/44.15 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 43.91/44.15 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 43.91/44.15 thf(def_mvalid,definition,(mvalid = (!!))).
% 43.91/44.15 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 43.91/44.15 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 43.91/44.15 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 43.91/44.15 thf(conj,conjecture,((!!) @ ((likes @ jan) @ cola))).
% 43.91/44.15 thf(h0,negated_conjecture,(~(((!!) @ ((likes @ jan) @ cola)))),inference(assume_negation,[status(cth)],[conj])).
% 43.91/44.15 thf(pax11, axiom, (p11=>![X20:$i, X23:$i]:(fa3 @ X20 @ X23=>flikes @ fjan @ fcola @ X23)), file('<stdin>', pax11)).
% 43.91/44.15 thf(pax12, axiom, (p12=>![X20:$i]:~(![X23:$i]:(fa3 @ X20 @ X23=>~(flikes @ fpiotr @ fpepsi @ X23)))), file('<stdin>', pax12)).
% 43.91/44.15 thf(pax14, axiom, (p14=>![X20:$i, X18:mu, X21:mu, X19:$i]:(fa3 @ X20 @ X19=>(~((flikes @ X18 @ X21 @ X19=>(![X22:$i]:(fa1 @ X19 @ X22=>flikes @ X18 @ X21 @ X22)=>~(![X22:$i]:(fa2 @ X19 @ X22=>flikes @ X18 @ X21 @ X22)))))=>fvery_much_likes @ X18 @ X21 @ X19))), file('<stdin>', pax14)).
% 43.91/44.15 thf(ax85, axiom, p11, file('<stdin>', ax85)).
% 43.91/44.15 thf(ax84, axiom, p12, file('<stdin>', ax84)).
% 43.91/44.15 thf(ax82, axiom, p14, file('<stdin>', ax82)).
% 43.91/44.15 thf(pax6, axiom, (p6=>![X20:$i, X26:$i]:(fa2 @ X20 @ X26=>flikes @ fjan @ fpepsi @ X26)), file('<stdin>', pax6)).
% 43.91/44.15 thf(pax2, axiom, (p2=>![X20:$i, X28:$i]:(fa1 @ X20 @ X28=>flikes @ fjan @ fcola @ X28)), file('<stdin>', pax2)).
% 43.91/44.15 thf(ax90, axiom, p6, file('<stdin>', ax90)).
% 43.91/44.15 thf(pax9, axiom, (p9=>![X20:$i, X24:mu, X25:$i]:(fa2 @ X20 @ X25=>(flikes @ X24 @ fpepsi @ X25=>flikes @ X24 @ fcola @ X25))), file('<stdin>', pax9)).
% 43.91/44.15 thf(ax94, axiom, p2, file('<stdin>', ax94)).
% 43.91/44.15 thf(ax87, axiom, p9, file('<stdin>', ax87)).
% 43.91/44.15 thf(ax76, axiom, (p1|~(p20)), file('<stdin>', ax76)).
% 43.91/44.15 thf(ax95, axiom, ~(p1), file('<stdin>', ax95)).
% 43.91/44.15 thf(ax55, axiom, (~(p16)|p41), file('<stdin>', ax55)).
% 43.91/44.15 thf(nax20, axiom, (p20<=flikes @ fjan @ fcola @ f__0), file('<stdin>', nax20)).
% 43.91/44.15 thf(ax56, axiom, (~(p41)|p40), file('<stdin>', ax56)).
% 43.91/44.15 thf(ax80, axiom, p16, file('<stdin>', ax80)).
% 43.91/44.15 thf(pax39, axiom, (p39=>(~(![X12:$i]:(fa3 @ f__0 @ X12=>~(fvery_much_likes @ fjan @ fcola @ X12)))=>flikes @ fjan @ fcola @ f__0)), file('<stdin>', pax39)).
% 43.91/44.15 thf(ax57, axiom, (~(p40)|p39), file('<stdin>', ax57)).
% 43.91/44.15 thf(c_0_20, plain, ![X285:$i, X286:$i]:(~p11|(~fa3 @ X285 @ X286|flikes @ fjan @ fcola @ X286)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax11])])])).
% 43.91/44.15 thf(c_0_21, plain, ![X281:$i]:((fa3 @ X281 @ (esk127_1 @ X281)|~p12)&(flikes @ fpiotr @ fpepsi @ (esk127_1 @ X281)|~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])])])])])])).
% 43.91/44.15 thf(c_0_22, plain, ![X265:$i, X266:mu, X267:mu, X268:$i]:(((fa2 @ X268 @ (esk120_4 @ X265 @ X266 @ X267 @ X268)|fa1 @ X268 @ (esk119_4 @ X265 @ X266 @ X267 @ X268)|~flikes @ X266 @ X267 @ X268|fvery_much_likes @ X266 @ X267 @ X268|~fa3 @ X265 @ X268|~p14)&(~flikes @ X266 @ X267 @ (esk120_4 @ X265 @ X266 @ X267 @ X268)|fa1 @ X268 @ (esk119_4 @ X265 @ X266 @ X267 @ X268)|~flikes @ X266 @ X267 @ X268|fvery_much_likes @ X266 @ X267 @ X268|~fa3 @ X265 @ X268|~p14))&((fa2 @ X268 @ (esk120_4 @ X265 @ X266 @ X267 @ X268)|~flikes @ X266 @ X267 @ (esk119_4 @ X265 @ X266 @ X267 @ X268)|~flikes @ X266 @ X267 @ X268|fvery_much_likes @ X266 @ X267 @ X268|~fa3 @ X265 @ X268|~p14)&(~flikes @ X266 @ X267 @ (esk120_4 @ X265 @ X266 @ X267 @ X268)|~flikes @ X266 @ X267 @ (esk119_4 @ X265 @ X266 @ X267 @ X268)|~flikes @ X266 @ X267 @ X268|fvery_much_likes @ X266 @ X267 @ X268|~fa3 @ X265 @ X268|~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])])])])])).
% 43.91/44.15 thf(c_0_23, plain, ![X2:$i, X3:$i]:(flikes @ fjan @ fcola @ X3|~p11|~fa3 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
% 43.91/44.15 thf(c_0_24, plain, p11, inference(split_conjunct,[status(thm)],[ax85])).
% 43.91/44.15 thf(c_0_25, plain, ![X2:$i]:(fa3 @ X2 @ (esk127_1 @ X2)|~p12), inference(split_conjunct,[status(thm)],[c_0_21])).
% 43.91/44.15 thf(c_0_26, plain, p12, inference(split_conjunct,[status(thm)],[ax84])).
% 43.91/44.15 thf(c_0_27, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa2 @ X2 @ (esk120_4 @ X3 @ X1 @ X4 @ X2)|fa1 @ X2 @ (esk119_4 @ X3 @ X1 @ X4 @ X2)|fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2|~p14), inference(split_conjunct,[status(thm)],[c_0_22])).
% 43.91/44.15 thf(c_0_28, plain, p14, inference(split_conjunct,[status(thm)],[ax82])).
% 43.91/44.15 thf(c_0_29, plain, ![X3:$i, X2:$i]:(flikes @ fjan @ fcola @ X2|~fa3 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 43.91/44.15 thf(c_0_30, plain, ![X2:$i]:fa3 @ X2 @ (esk127_1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 43.91/44.15 thf(c_0_31, plain, ![X309:$i, X310:$i]:(~p6|(~fa2 @ X309 @ X310|flikes @ fjan @ fpepsi @ X310)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 43.91/44.15 thf(c_0_32, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa1 @ X2 @ (esk119_4 @ X3 @ X1 @ X4 @ X2)|fa2 @ X2 @ (esk120_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_27, c_0_28])])).
% 43.91/44.15 thf(c_0_33, plain, ![X2:$i]:flikes @ fjan @ fcola @ (esk127_1 @ X2), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 43.91/44.15 thf(c_0_34, plain, ![X333:$i, X334:$i]:(~p2|(~fa1 @ X333 @ X334|flikes @ fjan @ fcola @ X334)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 43.91/44.15 thf(c_0_35, plain, ![X2:$i, X3:$i]:(flikes @ fjan @ fpepsi @ X3|~p6|~fa2 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_31])).
% 43.91/44.15 thf(c_0_36, plain, p6, inference(split_conjunct,[status(thm)],[ax90])).
% 43.91/44.15 thf(c_0_37, plain, ![X3:$i, X2:$i]:(fa1 @ (esk127_1 @ X2) @ (esk119_4 @ X3 @ fjan @ fcola @ (esk127_1 @ X2))|fa2 @ (esk127_1 @ X2) @ (esk120_4 @ X3 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)|~fa3 @ X3 @ (esk127_1 @ X2)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 43.91/44.15 thf(c_0_38, plain, ![X295:$i, X296:mu, X297:$i]:(~p9|(~fa2 @ X295 @ X297|(~flikes @ X296 @ fpepsi @ X297|flikes @ X296 @ fcola @ X297))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])])).
% 43.91/44.15 thf(c_0_39, plain, ![X2:$i, X3:$i]:(flikes @ fjan @ fcola @ X3|~p2|~fa1 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_34])).
% 43.91/44.15 thf(c_0_40, plain, p2, inference(split_conjunct,[status(thm)],[ax94])).
% 43.91/44.15 thf(c_0_41, plain, ![X3:$i, X2:$i]:(flikes @ fjan @ fpepsi @ X2|~fa2 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 43.91/44.15 thf(c_0_42, plain, ![X2:$i]:(fa2 @ (esk127_1 @ X2) @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fa1 @ (esk127_1 @ X2) @ (esk119_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)), inference(spm,[status(thm)],[c_0_37, c_0_30])).
% 43.91/44.15 thf(c_0_43, 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_38])).
% 43.91/44.15 thf(c_0_44, plain, p9, inference(split_conjunct,[status(thm)],[ax87])).
% 43.91/44.15 thf(c_0_45, plain, ![X3:$i, X2:$i]:(flikes @ fjan @ fcola @ X2|~fa1 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 43.91/44.15 thf(c_0_46, plain, ![X2:$i]:(flikes @ fjan @ fpepsi @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fa1 @ (esk127_1 @ X2) @ (esk119_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
% 43.91/44.15 thf(c_0_47, plain, ![X1:mu, X3:$i, X2:$i]:(flikes @ X1 @ fcola @ X2|~flikes @ X1 @ fpepsi @ X2|~fa2 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 43.91/44.15 thf(c_0_48, plain, ![X2:$i]:(flikes @ fjan @ fpepsi @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|flikes @ fjan @ fcola @ (esk119_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 43.91/44.15 thf(c_0_49, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa2 @ X2 @ (esk120_4 @ X3 @ X1 @ X4 @ X2)|fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ (esk119_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2|~p14), inference(split_conjunct,[status(thm)],[c_0_22])).
% 43.91/44.15 thf(c_0_50, plain, ![X3:$i, X2:$i]:(flikes @ fjan @ fcola @ (esk119_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|flikes @ fjan @ fcola @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)|~fa2 @ X3 @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 43.91/44.15 thf(c_0_51, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa2 @ X2 @ (esk120_4 @ X3 @ X1 @ X4 @ X2)|fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ (esk119_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_28])])).
% 43.91/44.15 thf(c_0_52, plain, ![X2:$i]:(flikes @ fjan @ fcola @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|flikes @ fjan @ fcola @ (esk119_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_42]), c_0_45])).
% 43.91/44.15 thf(c_0_53, plain, ![X2:$i]:(flikes @ fjan @ fcola @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fa2 @ (esk127_1 @ X2) @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_33]), c_0_30])])).
% 43.91/44.15 thf(c_0_54, plain, (p1|~p20), inference(fof_simplification,[status(thm)],[ax76])).
% 43.91/44.15 thf(c_0_55, plain, ~p1, inference(fof_simplification,[status(thm)],[ax95])).
% 43.91/44.15 thf(c_0_56, plain, (~p16|p41), inference(fof_simplification,[status(thm)],[ax55])).
% 43.91/44.15 thf(c_0_57, plain, ![X2:$i]:(flikes @ fjan @ fcola @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|flikes @ fjan @ fpepsi @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)), inference(spm,[status(thm)],[c_0_41, c_0_53])).
% 43.91/44.15 thf(c_0_58, plain, (~flikes @ fjan @ fcola @ f__0|p20), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax20])])).
% 43.91/44.15 thf(c_0_59, plain, (p1|~p20), inference(split_conjunct,[status(thm)],[c_0_54])).
% 43.91/44.15 thf(c_0_60, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_55])).
% 43.91/44.15 thf(c_0_61, plain, (~p41|p40), inference(fof_simplification,[status(thm)],[ax56])).
% 43.91/44.15 thf(c_0_62, plain, (p41|~p16), inference(split_conjunct,[status(thm)],[c_0_56])).
% 43.91/44.15 thf(c_0_63, plain, p16, inference(split_conjunct,[status(thm)],[ax80])).
% 43.91/44.15 thf(c_0_64, plain, ![X1:mu, X2:$i, X4:mu, X3:$i]:(fa1 @ X3 @ (esk119_4 @ X2 @ X1 @ X4 @ X3)|fvery_much_likes @ X1 @ X4 @ X3|~flikes @ X1 @ X4 @ (esk120_4 @ X2 @ X1 @ X4 @ X3)|~flikes @ X1 @ X4 @ X3|~fa3 @ X2 @ X3|~p14), inference(split_conjunct,[status(thm)],[c_0_22])).
% 43.91/44.15 thf(c_0_65, plain, ![X3:$i, X2:$i]:(flikes @ fjan @ fcola @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)|~fa2 @ X3 @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))), inference(spm,[status(thm)],[c_0_47, c_0_57])).
% 43.91/44.15 thf(c_0_66, plain, ![X151:$i]:(~p39|(~fa3 @ f__0 @ X151|~fvery_much_likes @ fjan @ fcola @ X151|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)],[pax39])])])])).
% 43.91/44.15 thf(c_0_67, plain, (p20|~flikes @ fjan @ fcola @ f__0), inference(split_conjunct,[status(thm)],[c_0_58])).
% 43.91/44.15 thf(c_0_68, plain, ~p20, inference(sr,[status(thm)],[c_0_59, c_0_60])).
% 43.91/44.15 thf(c_0_69, plain, (~p40|p39), inference(fof_simplification,[status(thm)],[ax57])).
% 43.91/44.15 thf(c_0_70, plain, (p40|~p41), inference(split_conjunct,[status(thm)],[c_0_61])).
% 43.91/44.15 thf(c_0_71, plain, p41, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])).
% 43.91/44.15 thf(c_0_72, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fa1 @ X2 @ (esk119_4 @ X3 @ X1 @ X4 @ X2)|fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ (esk120_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_28])])).
% 43.91/44.15 thf(c_0_73, plain, ![X2:$i]:(flikes @ fjan @ fcola @ (esk120_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)), inference(spm,[status(thm)],[c_0_65, c_0_53])).
% 43.91/44.15 thf(c_0_74, plain, ![X2:$i]:(flikes @ fjan @ fcola @ f__0|~p39|~fa3 @ f__0 @ X2|~fvery_much_likes @ fjan @ fcola @ X2), inference(split_conjunct,[status(thm)],[c_0_66])).
% 43.91/44.15 thf(c_0_75, plain, ~flikes @ fjan @ fcola @ f__0, inference(sr,[status(thm)],[c_0_67, c_0_68])).
% 43.91/44.15 thf(c_0_76, plain, (p39|~p40), inference(split_conjunct,[status(thm)],[c_0_69])).
% 43.91/44.15 thf(c_0_77, plain, p40, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_71])])).
% 43.91/44.15 thf(c_0_78, plain, ![X1:mu, X2:$i, X4:mu, X3:$i]:(fvery_much_likes @ X1 @ X4 @ X3|~flikes @ X1 @ X4 @ (esk120_4 @ X2 @ X1 @ X4 @ X3)|~flikes @ X1 @ X4 @ (esk119_4 @ X2 @ X1 @ X4 @ X3)|~flikes @ X1 @ X4 @ X3|~fa3 @ X2 @ X3|~p14), inference(split_conjunct,[status(thm)],[c_0_22])).
% 43.91/44.15 thf(c_0_79, plain, ![X2:$i]:(fa1 @ (esk127_1 @ X2) @ (esk119_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_33]), c_0_30])])).
% 43.91/44.15 thf(c_0_80, plain, ![X2:$i]:(~fvery_much_likes @ fjan @ fcola @ X2|~fa3 @ f__0 @ X2|~p39), inference(sr,[status(thm)],[c_0_74, c_0_75])).
% 43.91/44.15 thf(c_0_81, plain, p39, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])])).
% 43.91/44.15 thf(c_0_82, plain, ![X1:mu, X4:mu, X3:$i, X2:$i]:(fvery_much_likes @ X1 @ X4 @ X2|~flikes @ X1 @ X4 @ (esk119_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ (esk120_4 @ X3 @ X1 @ X4 @ X2)|~flikes @ X1 @ X4 @ X2|~fa3 @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_28])])).
% 43.91/44.15 thf(c_0_83, plain, ![X2:$i]:(flikes @ fjan @ fcola @ (esk119_4 @ X2 @ fjan @ fcola @ (esk127_1 @ X2))|fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2)), inference(spm,[status(thm)],[c_0_45, c_0_79])).
% 43.91/44.15 thf(c_0_84, plain, ![X2:$i]:(~fvery_much_likes @ fjan @ fcola @ X2|~fa3 @ f__0 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])).
% 43.91/44.15 thf(c_0_85, plain, ![X2:$i]:fvery_much_likes @ fjan @ fcola @ (esk127_1 @ X2), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_33]), c_0_30])]), c_0_73])).
% 43.91/44.15 thf(c_0_86, plain, ![X2:$i]:~fa3 @ f__0 @ (esk127_1 @ X2), inference(spm,[status(thm)],[c_0_84, c_0_85])).
% 43.91/44.15 thf(c_0_87, plain, ($false), inference(spm,[status(thm)],[c_0_86, c_0_30]), ['proof']).
% 43.91/44.15 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 43.91/44.15 thf(0,theorem,((!!) @ ((likes @ jan) @ cola)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 43.91/44.15 % SZS output end Proof
%------------------------------------------------------------------------------