TSTP Solution File: AGT031^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : AGT031^1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n021.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 3.10s 3.30s
% Output : Proof 3.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : AGT031^1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n021.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 03:23:33 EDT 2022
% 0.14/0.36 % CPUTime :
% 3.10/3.30 % SZS status Theorem
% 3.10/3.30 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 3.10/3.30 % Inferences: 1819
% 3.10/3.30 % SZS output start Proof
% 3.10/3.30 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 3.10/3.30 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 3.10/3.30 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 3.10/3.30 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 3.10/3.30 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 3.10/3.30 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 3.10/3.30 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 3.10/3.30 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 3.10/3.30 thf(def_mvalid,definition,(mvalid = (!!))).
% 3.10/3.30 thf(conj,conjecture,(![X1:$i]:(~((![X2:mu]:(~((~((![X3:mu]:(~((((very_much_likes @ X2) @ X3) @ X1))))))))))))).
% 3.10/3.30 thf(h0,negated_conjecture,(~((![X1:$i]:(~((![X2:mu]:(![X3:mu]:(~((((very_much_likes @ X2) @ X3) @ X1)))))))))),inference(assume_negation,[status(cth)],[conj])).
% 3.10/3.30 thf(pax11, axiom, (p11=>![X89:$i, X93:$i]:(fa3 @ X89 @ X93=>flikes @ fjan @ fcola @ X93)), file('<stdin>', pax11)).
% 3.10/3.30 thf(pax12, axiom, (p12=>![X89:$i]:~(![X93:$i]:(fa3 @ X89 @ X93=>~(flikes @ fpiotr @ fpepsi @ X93)))), file('<stdin>', pax12)).
% 3.10/3.30 thf(pax14, axiom, (p14=>![X89:$i, X88:mu, X90:mu, X91:$i]:(fa3 @ X89 @ X91=>(~((flikes @ X88 @ X90 @ X91=>(![X92:$i]:(fa1 @ X91 @ X92=>flikes @ X88 @ X90 @ X92)=>~(![X92:$i]:(fa2 @ X91 @ X92=>flikes @ X88 @ X90 @ X92)))))=>fvery_much_likes @ X88 @ X90 @ X91))), file('<stdin>', pax14)).
% 3.10/3.30 thf(ax1378, axiom, p11, file('<stdin>', ax1378)).
% 3.10/3.30 thf(ax1377, axiom, p12, file('<stdin>', ax1377)).
% 3.10/3.30 thf(ax1375, axiom, p14, file('<stdin>', ax1375)).
% 3.10/3.30 thf(pax6, axiom, (p6=>![X89:$i, X96:$i]:(fa2 @ X89 @ X96=>flikes @ fjan @ fpepsi @ X96)), file('<stdin>', pax6)).
% 3.10/3.30 thf(pax2, axiom, (p2=>![X89:$i, X98:$i]:(fa1 @ X89 @ X98=>flikes @ fjan @ fcola @ X98)), file('<stdin>', pax2)).
% 3.10/3.30 thf(ax1383, axiom, p6, file('<stdin>', ax1383)).
% 3.10/3.30 thf(ax1387, axiom, p2, file('<stdin>', ax1387)).
% 3.10/3.30 thf(pax9, axiom, (p9=>![X89:$i, X94:mu, X95:$i]:(fa2 @ X89 @ X95=>(flikes @ X94 @ fpepsi @ X95=>flikes @ X94 @ fcola @ X95))), file('<stdin>', pax9)).
% 3.10/3.30 thf(ax1380, axiom, p9, file('<stdin>', ax1380)).
% 3.10/3.30 thf(pax16, axiom, (p16=>![X89:$i, X88:mu, X90:mu]:(~(![X91:$i]:(fa3 @ X89 @ X91=>~(fvery_much_likes @ X88 @ X90 @ X91)))=>flikes @ X88 @ X90 @ X89)), file('<stdin>', pax16)).
% 3.10/3.30 thf(ax1373, axiom, p16, file('<stdin>', ax1373)).
% 3.10/3.30 thf(ax1388, axiom, ~(p1), file('<stdin>', ax1388)).
% 3.10/3.30 thf(ax1363, axiom, (~(p15)|p26), file('<stdin>', ax1363)).
% 3.10/3.30 thf(pax20, axiom, (p20=>![X87:mu, X88:mu]:~(fvery_much_likes @ X87 @ X88 @ f__0)), file('<stdin>', pax20)).
% 3.10/3.30 thf(ax1369, axiom, (p1|p20), file('<stdin>', ax1369)).
% 3.10/3.30 thf(pax26, axiom, (p26=>![X83:mu, X84:mu]:(![X4:$i]:(fa3 @ f__0 @ X4=>fvery_much_likes @ X83 @ X84 @ X4)=>fvery_much_likes @ X83 @ X84 @ f__0)), file('<stdin>', pax26)).
% 3.10/3.30 thf(ax1374, axiom, p15, file('<stdin>', ax1374)).
% 3.10/3.30 thf(c_0_20, plain, ![X507:$i, X508:$i]:(~p11|(~fa3 @ X507 @ X508|flikes @ fjan @ fcola @ X508)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax11])])])).
% 3.10/3.30 thf(c_0_21, plain, ![X503:$i]:((fa3 @ X503 @ (esk202_1 @ X503)|~p12)&(flikes @ fpiotr @ fpepsi @ (esk202_1 @ X503)|~p12)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax12])])])])])])).
% 3.10/3.30 thf(c_0_22, plain, ![X487:$i, X488:mu, X489:mu, X490:$i]:(((fa2 @ X490 @ (esk195_4 @ X487 @ X488 @ X489 @ X490)|fa1 @ X490 @ (esk194_4 @ X487 @ X488 @ X489 @ X490)|~flikes @ X488 @ X489 @ X490|fvery_much_likes @ X488 @ X489 @ X490|~fa3 @ X487 @ X490|~p14)&(~flikes @ X488 @ X489 @ (esk195_4 @ X487 @ X488 @ X489 @ X490)|fa1 @ X490 @ (esk194_4 @ X487 @ X488 @ X489 @ X490)|~flikes @ X488 @ X489 @ X490|fvery_much_likes @ X488 @ X489 @ X490|~fa3 @ X487 @ X490|~p14))&((fa2 @ X490 @ (esk195_4 @ X487 @ X488 @ X489 @ X490)|~flikes @ X488 @ X489 @ (esk194_4 @ X487 @ X488 @ X489 @ X490)|~flikes @ X488 @ X489 @ X490|fvery_much_likes @ X488 @ X489 @ X490|~fa3 @ X487 @ X490|~p14)&(~flikes @ X488 @ X489 @ (esk195_4 @ X487 @ X488 @ X489 @ X490)|~flikes @ X488 @ X489 @ (esk194_4 @ X487 @ X488 @ X489 @ X490)|~flikes @ X488 @ X489 @ X490|fvery_much_likes @ X488 @ X489 @ X490|~fa3 @ X487 @ X490|~p14))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax14])])])])])).
% 3.10/3.30 thf(c_0_23, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fcola @ X4|~p11|~fa3 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_20])).
% 3.10/3.30 thf(c_0_24, plain, p11, inference(split_conjunct,[status(thm)],[ax1378])).
% 3.10/3.30 thf(c_0_25, plain, ![X1:$i]:(fa3 @ X1 @ (esk202_1 @ X1)|~p12), inference(split_conjunct,[status(thm)],[c_0_21])).
% 3.10/3.30 thf(c_0_26, plain, p12, inference(split_conjunct,[status(thm)],[ax1377])).
% 3.10/3.30 thf(c_0_27, plain, ![X3:mu, X4:$i, X2:mu, X1:$i]:(fa2 @ X1 @ (esk195_4 @ X4 @ X2 @ X3 @ X1)|fa1 @ X1 @ (esk194_4 @ X4 @ X2 @ X3 @ X1)|fvery_much_likes @ X2 @ X3 @ X1|~flikes @ X2 @ X3 @ X1|~fa3 @ X4 @ X1|~p14), inference(split_conjunct,[status(thm)],[c_0_22])).
% 3.10/3.30 thf(c_0_28, plain, p14, inference(split_conjunct,[status(thm)],[ax1375])).
% 3.10/3.30 thf(c_0_29, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fcola @ X1|~fa3 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 3.10/3.30 thf(c_0_30, plain, ![X1:$i]:fa3 @ X1 @ (esk202_1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 3.10/3.30 thf(c_0_31, plain, ![X531:$i, X532:$i]:(~p6|(~fa2 @ X531 @ X532|flikes @ fjan @ fpepsi @ X532)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 3.10/3.30 thf(c_0_32, plain, ![X3:mu, X4:$i, X2:mu, X1:$i]:(fa1 @ X1 @ (esk194_4 @ X4 @ X2 @ X3 @ X1)|fa2 @ X1 @ (esk195_4 @ X4 @ X2 @ X3 @ X1)|fvery_much_likes @ X2 @ X3 @ X1|~flikes @ X2 @ X3 @ X1|~fa3 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])])).
% 3.10/3.30 thf(c_0_33, plain, ![X1:$i]:flikes @ fjan @ fcola @ (esk202_1 @ X1), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 3.10/3.30 thf(c_0_34, plain, ![X555:$i, X556:$i]:(~p2|(~fa1 @ X555 @ X556|flikes @ fjan @ fcola @ X556)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 3.10/3.30 thf(c_0_35, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fpepsi @ X4|~p6|~fa2 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_31])).
% 3.10/3.30 thf(c_0_36, plain, p6, inference(split_conjunct,[status(thm)],[ax1383])).
% 3.10/3.30 thf(c_0_37, plain, ![X4:$i, X1:$i]:(fa1 @ (esk202_1 @ X1) @ (esk194_4 @ X4 @ fjan @ fcola @ (esk202_1 @ X1))|fa2 @ (esk202_1 @ X1) @ (esk195_4 @ X4 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)|~fa3 @ X4 @ (esk202_1 @ X1)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 3.10/3.30 thf(c_0_38, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fcola @ X4|~p2|~fa1 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_34])).
% 3.10/3.30 thf(c_0_39, plain, p2, inference(split_conjunct,[status(thm)],[ax1387])).
% 3.10/3.30 thf(c_0_40, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fpepsi @ X1|~fa2 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 3.10/3.30 thf(c_0_41, plain, ![X1:$i]:(fa2 @ (esk202_1 @ X1) @ (esk195_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fa1 @ (esk202_1 @ X1) @ (esk194_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)), inference(spm,[status(thm)],[c_0_37, c_0_30])).
% 3.10/3.30 thf(c_0_42, plain, ![X517:$i, X518:mu, X519:$i]:(~p9|(~fa2 @ X517 @ X519|(~flikes @ X518 @ fpepsi @ X519|flikes @ X518 @ fcola @ X519))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])])).
% 3.10/3.30 thf(c_0_43, plain, ![X3:mu, X4:$i, X2:mu, X1:$i]:(fa2 @ X1 @ (esk195_4 @ X4 @ X2 @ X3 @ X1)|fvery_much_likes @ X2 @ X3 @ X1|~flikes @ X2 @ X3 @ (esk194_4 @ X4 @ X2 @ X3 @ X1)|~flikes @ X2 @ X3 @ X1|~fa3 @ X4 @ X1|~p14), inference(split_conjunct,[status(thm)],[c_0_22])).
% 3.10/3.30 thf(c_0_44, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fcola @ X1|~fa1 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 3.10/3.30 thf(c_0_45, plain, ![X1:$i]:(flikes @ fjan @ fpepsi @ (esk195_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fa1 @ (esk202_1 @ X1) @ (esk194_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 3.10/3.30 thf(c_0_46, plain, ![X1:$i, X2:mu, X4:$i]:(flikes @ X2 @ fcola @ X4|~p9|~fa2 @ X1 @ X4|~flikes @ X2 @ fpepsi @ X4), inference(split_conjunct,[status(thm)],[c_0_42])).
% 3.10/3.30 thf(c_0_47, plain, p9, inference(split_conjunct,[status(thm)],[ax1380])).
% 3.10/3.30 thf(c_0_48, plain, ![X3:mu, X4:$i, X2:mu, X1:$i]:(fa2 @ X1 @ (esk195_4 @ X4 @ X2 @ X3 @ X1)|fvery_much_likes @ X2 @ X3 @ X1|~flikes @ X2 @ X3 @ (esk194_4 @ X4 @ X2 @ X3 @ X1)|~flikes @ X2 @ X3 @ X1|~fa3 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_28])])).
% 3.10/3.30 thf(c_0_49, plain, ![X1:$i]:(flikes @ fjan @ fpepsi @ (esk195_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|flikes @ fjan @ fcola @ (esk194_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)), inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 3.10/3.30 thf(c_0_50, plain, ![X4:$i, X2:mu, X1:$i]:(flikes @ X2 @ fcola @ X1|~flikes @ X2 @ fpepsi @ X1|~fa2 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
% 3.10/3.30 thf(c_0_51, plain, ![X1:$i]:(flikes @ fjan @ fpepsi @ (esk195_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_33]), c_0_30])]), c_0_40])).
% 3.10/3.30 thf(c_0_52, plain, ![X4:$i, X1:$i]:(flikes @ fjan @ fcola @ (esk195_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)|~fa2 @ X4 @ (esk195_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))), inference(spm,[status(thm)],[c_0_50, c_0_51])).
% 3.10/3.30 thf(c_0_53, plain, ![X1:$i]:(flikes @ fjan @ fcola @ (esk195_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fa1 @ (esk202_1 @ X1) @ (esk194_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)), inference(spm,[status(thm)],[c_0_52, c_0_41])).
% 3.10/3.30 thf(c_0_54, plain, ![X2:mu, X1:$i, X3:mu, X4:$i]:(fa1 @ X4 @ (esk194_4 @ X1 @ X2 @ X3 @ X4)|fvery_much_likes @ X2 @ X3 @ X4|~flikes @ X2 @ X3 @ (esk195_4 @ X1 @ X2 @ X3 @ X4)|~flikes @ X2 @ X3 @ X4|~fa3 @ X1 @ X4|~p14), inference(split_conjunct,[status(thm)],[c_0_22])).
% 3.10/3.30 thf(c_0_55, plain, ![X1:$i]:(flikes @ fjan @ fcola @ (esk195_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|flikes @ fjan @ fcola @ (esk194_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)), inference(spm,[status(thm)],[c_0_44, c_0_53])).
% 3.10/3.30 thf(c_0_56, plain, ![X3:mu, X4:$i, X2:mu, X1:$i]:(fa1 @ X1 @ (esk194_4 @ X4 @ X2 @ X3 @ X1)|fvery_much_likes @ X2 @ X3 @ X1|~flikes @ X2 @ X3 @ (esk195_4 @ X4 @ X2 @ X3 @ X1)|~flikes @ X2 @ X3 @ X1|~fa3 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_28])])).
% 3.10/3.30 thf(c_0_57, plain, ![X1:$i]:(flikes @ fjan @ fcola @ (esk195_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_55]), c_0_33]), c_0_30])]), c_0_52])).
% 3.10/3.30 thf(c_0_58, plain, ![X471:$i, X472:mu, X473:mu, X474:$i]:(~p16|(~fa3 @ X471 @ X474|~fvery_much_likes @ X472 @ X473 @ X474|flikes @ X472 @ X473 @ X471)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax16])])])])).
% 3.10/3.30 thf(c_0_59, plain, ![X2:mu, X1:$i, X3:mu, X4:$i]:(fvery_much_likes @ X2 @ X3 @ X4|~flikes @ X2 @ X3 @ (esk195_4 @ X1 @ X2 @ X3 @ X4)|~flikes @ X2 @ X3 @ (esk194_4 @ X1 @ X2 @ X3 @ X4)|~flikes @ X2 @ X3 @ X4|~fa3 @ X1 @ X4|~p14), inference(split_conjunct,[status(thm)],[c_0_22])).
% 3.10/3.30 thf(c_0_60, plain, ![X1:$i]:(fa1 @ (esk202_1 @ X1) @ (esk194_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_33]), c_0_30])])).
% 3.10/3.30 thf(c_0_61, plain, ![X1:$i, X2:mu, X3:mu, X4:$i]:(flikes @ X2 @ X3 @ X1|~p16|~fa3 @ X1 @ X4|~fvery_much_likes @ X2 @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_58])).
% 3.10/3.30 thf(c_0_62, plain, p16, inference(split_conjunct,[status(thm)],[ax1373])).
% 3.10/3.30 thf(c_0_63, plain, ![X3:mu, X4:$i, X2:mu, X1:$i]:(fvery_much_likes @ X2 @ X3 @ X1|~flikes @ X2 @ X3 @ (esk194_4 @ X4 @ X2 @ X3 @ X1)|~flikes @ X2 @ X3 @ (esk195_4 @ X4 @ X2 @ X3 @ X1)|~flikes @ X2 @ X3 @ X1|~fa3 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_28])])).
% 3.10/3.30 thf(c_0_64, plain, ![X1:$i]:(flikes @ fjan @ fcola @ (esk194_4 @ X1 @ fjan @ fcola @ (esk202_1 @ X1))|fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1)), inference(spm,[status(thm)],[c_0_44, c_0_60])).
% 3.10/3.30 thf(c_0_65, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1388])).
% 3.10/3.30 thf(c_0_66, plain, ![X2:mu, X1:$i, X3:mu, X4:$i]:(flikes @ X2 @ X3 @ X1|~fvery_much_likes @ X2 @ X3 @ X4|~fa3 @ X1 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])])).
% 3.10/3.30 thf(c_0_67, plain, ![X1:$i]:fvery_much_likes @ fjan @ fcola @ (esk202_1 @ X1), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_33]), c_0_30])]), c_0_57])).
% 3.10/3.30 thf(c_0_68, plain, (~p15|p26), inference(fof_simplification,[status(thm)],[ax1363])).
% 3.10/3.30 thf(c_0_69, plain, ![X443:mu, X444:mu]:(~p20|~fvery_much_likes @ X443 @ X444 @ f__0), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax20])])])])).
% 3.10/3.30 thf(c_0_70, plain, (p1|p20), inference(split_conjunct,[status(thm)],[ax1369])).
% 3.10/3.30 thf(c_0_71, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_65])).
% 3.10/3.30 thf(c_0_72, plain, ![X1:$i, X4:$i]:(flikes @ fjan @ fcola @ X1|~fa3 @ X1 @ (esk202_1 @ X4)), inference(spm,[status(thm)],[c_0_66, c_0_67])).
% 3.10/3.30 thf(c_0_73, plain, ![X427:mu, X428:mu]:((fa3 @ f__0 @ (esk164_2 @ X427 @ X428)|fvery_much_likes @ X427 @ X428 @ f__0|~p26)&(~fvery_much_likes @ X427 @ X428 @ (esk164_2 @ X427 @ X428)|fvery_much_likes @ X427 @ X428 @ f__0|~p26)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax26])])])])])).
% 3.10/3.30 thf(c_0_74, plain, (p26|~p15), inference(split_conjunct,[status(thm)],[c_0_68])).
% 3.10/3.30 thf(c_0_75, plain, p15, inference(split_conjunct,[status(thm)],[ax1374])).
% 3.10/3.30 thf(c_0_76, plain, ![X2:mu, X3:mu]:(~p20|~fvery_much_likes @ X2 @ X3 @ f__0), inference(split_conjunct,[status(thm)],[c_0_69])).
% 3.10/3.30 thf(c_0_77, plain, p20, inference(sr,[status(thm)],[c_0_70, c_0_71])).
% 3.10/3.30 thf(c_0_78, plain, ![X1:$i]:flikes @ fjan @ fcola @ X1, inference(spm,[status(thm)],[c_0_72, c_0_30])).
% 3.10/3.30 thf(c_0_79, plain, ![X2:mu, X3:mu]:(fa3 @ f__0 @ (esk164_2 @ X2 @ X3)|fvery_much_likes @ X2 @ X3 @ f__0|~p26), inference(split_conjunct,[status(thm)],[c_0_73])).
% 3.10/3.30 thf(c_0_80, plain, p26, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75])])).
% 3.10/3.30 thf(c_0_81, plain, ![X2:mu, X3:mu]:~fvery_much_likes @ X2 @ X3 @ f__0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])])).
% 3.10/3.30 thf(c_0_82, plain, ![X2:mu, X3:mu]:(fvery_much_likes @ X2 @ X3 @ f__0|~fvery_much_likes @ X2 @ X3 @ (esk164_2 @ X2 @ X3)|~p26), inference(split_conjunct,[status(thm)],[c_0_73])).
% 3.10/3.30 thf(c_0_83, plain, ![X4:$i, X1:$i]:(fvery_much_likes @ fjan @ fcola @ X1|~fa3 @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_78]), c_0_78]), c_0_78])])).
% 3.10/3.30 thf(c_0_84, plain, ![X2:mu, X3:mu]:fa3 @ f__0 @ (esk164_2 @ X2 @ X3), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_80])]), c_0_81])).
% 3.10/3.30 thf(c_0_85, plain, ![X2:mu, X3:mu]:~fvery_much_likes @ X2 @ X3 @ (esk164_2 @ X2 @ X3), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_80])]), c_0_81])).
% 3.10/3.30 thf(c_0_86, plain, ![X2:mu, X3:mu]:fvery_much_likes @ fjan @ fcola @ (esk164_2 @ X2 @ X3), inference(spm,[status(thm)],[c_0_83, c_0_84])).
% 3.10/3.30 thf(c_0_87, plain, ($false), inference(spm,[status(thm)],[c_0_85, c_0_86]), ['proof']).
% 3.10/3.30 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 3.10/3.30 thf(0,theorem,(![X1:$i]:(~((![X2:mu]:(~((~((![X3:mu]:(~((((very_much_likes @ X2) @ X3) @ X1)))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 3.10/3.30 % SZS output end Proof
%------------------------------------------------------------------------------