TSTP Solution File: LCL603^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL603^1 : TPTP v8.1.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n008.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 : Sun Jul 17 14:09:02 EDT 2022
% Result : Theorem 37.36s 37.55s
% Output : Proof 37.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL603^1 : TPTP v8.1.0. Released v3.6.0.
% 0.06/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n008.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 : 600
% 0.12/0.33 % DateTime : Mon Jul 4 03:01:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 37.36/37.55 % SZS status Theorem
% 37.36/37.55 % Mode: mode485
% 37.36/37.55 % Inferences: 317
% 37.36/37.55 % SZS output start Proof
% 37.36/37.55 thf(def_mfalse,definition,(mfalse = (^[X1:$i]:$false))).
% 37.36/37.55 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 37.36/37.55 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 37.36/37.55 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 37.36/37.55 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 37.36/37.55 thf(def_mimpl,definition,(mimpl = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 37.36/37.55 thf(def_miff,definition,(miff = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimpl @ X1) @ X2)) @ ((mimpl @ X2) @ X1)))))).
% 37.36/37.55 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 37.36/37.55 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(~((![X4:$i]:(((X1 @ X3) @ X4) => (~((X2 @ X4)))))))))))).
% 37.36/37.55 thf(def_mall,definition,(mall = (^[X1:individuals>$i>$o]:(^[X2:$i]:(![X3:individuals]:((X1 @ X3) @ X2)))))).
% 37.36/37.55 thf(def_mexists,definition,(mexists = (^[X1:individuals>$i>$o]:(^[X2:$i]:(~((![X3:individuals]:(~(((X1 @ X3) @ X2)))))))))).
% 37.36/37.55 thf(def_mvalid,definition,(mvalid = (!!))).
% 37.36/37.55 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 37.36/37.55 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 37.36/37.55 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 37.36/37.55 thf(def_cartesian_product,definition,(cartesian_product = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(^[X4:$i]:(~(((X1 @ X3) => (~((X2 @ X4)))))))))))).
% 37.36/37.55 thf(def_pair_rel,definition,(pair_rel = (^[X1:$i]:(^[X2:$i]:(^[X3:$i]:(^[X4:$i]:((~((X3 = X1))) => (X4 = X2)))))))).
% 37.36/37.55 thf(def_id_rel,definition,(id_rel = (^[X1:$i>$o]:(^[X2:$i]:(^[X3:$i]:(~(((X1 @ X2) => (~((X2 = X3))))))))))).
% 37.36/37.55 thf(def_sub_rel,definition,(sub_rel = (^[X1:$i>$i>$o]:(^[X2:$i>$i>$o]:(![X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => ((X2 @ X3) @ X4)))))))).
% 37.36/37.55 thf(def_is_rel_on,definition,(is_rel_on = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i>$o]:(![X4:$i]:(![X5:$i]:(((X1 @ X4) @ X5) => (~(((X2 @ X4) => (~((X3 @ X5)))))))))))))).
% 37.36/37.55 thf(def_restrict_rel_domain,definition,(restrict_rel_domain = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(^[X4:$i]:(~(((X2 @ X3) => (~(((X1 @ X3) @ X4)))))))))))).
% 37.36/37.55 thf(def_rel_diagonal,definition,(rel_diagonal = (=))).
% 37.36/37.55 thf(def_rel_composition,definition,(rel_composition = (^[X1:$i>$i>$o]:(^[X2:$i>$i>$o]:(^[X3:$i]:(^[X4:$i]:(~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X2 @ X5) @ X4))))))))))))).
% 37.36/37.55 thf(def_reflexive,definition,(reflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 37.36/37.55 thf(def_irreflexive,definition,(irreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:(~(((X1 @ X2) @ X2))))))).
% 37.36/37.55 thf(def_symmetric,definition,(symmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 37.36/37.55 thf(def_transitive,definition,(transitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 37.36/37.55 thf(def_equiv_rel,definition,(equiv_rel = (^[X1:$i>$i>$o]:(~(((~(((reflexive @ X1) => (~((symmetric @ X1)))))) => (~((transitive @ X1))))))))).
% 37.36/37.55 thf(def_rel_codomain,definition,(rel_codomain = (^[X1:$i>$i>$o]:(^[X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) @ X2)))))))))).
% 37.36/37.55 thf(def_rel_domain,definition,(rel_domain = (^[X1:$i>$i>$o]:(^[X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 37.36/37.55 thf(def_rel_inverse,definition,(rel_inverse = (^[X1:$i>$i>$o]:(^[X2:$i]:(^[X3:$i]:((X1 @ X3) @ X2)))))).
% 37.36/37.55 thf(def_equiv_classes,definition,(equiv_classes = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(~((![X3:$i]:((X2 @ X3) => (~((![X4:$i]:((X2 @ X4) = ((X1 @ X3) @ X4))))))))))))).
% 37.36/37.55 thf(def_restrict_rel_codomain,definition,(restrict_rel_codomain = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(^[X4:$i]:(~(((X2 @ X4) => (~(((X1 @ X3) @ X4)))))))))))).
% 37.36/37.55 thf(def_rel_field,definition,(rel_field = (^[X1:$i>$i>$o]:(^[X2:$i]:((~(((rel_domain @ X1) @ X2))) => ((rel_codomain @ X1) @ X2)))))).
% 37.36/37.55 thf(def_well_founded,definition,(well_founded = (^[X1:$i>$i>$o]:(![X2:$i>$o]:(![X3:$i]:((X2 @ X3) => (~((![X4:$i]:((X2 @ X4) => (~((![X5:$i]:(((X1 @ X4) @ X5) => (~((X2 @ X5))))))))))))))))).
% 37.36/37.55 thf(def_upwards_well_founded,definition,(upwards_well_founded = (^[X1:$i>$i>$o]:(![X2:$i>$o]:(![X3:$i]:((X2 @ X3) => (~((![X4:$i]:((X2 @ X4) => (~((![X5:$i]:(((X1 @ X4) @ X4) => (~((X2 @ X5))))))))))))))))).
% 37.36/37.55 thf(thm,conjecture,(![X1:$i>$i>$o]:((![X2:$i>$o]:(~(((![X3:$i]:((~((~((![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4))))))) => (![X4:$i]:(((X1 @ X3) @ X4) => (![X5:$i]:(((X1 @ X4) @ X5) => (X2 @ X5))))))) => (~((![X3:$i]:((~((~((![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4))))))) => (X2 @ X3))))))))) => (~(((![X2:$i]:((X1 @ X2) @ X2)) => (~((![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4))))))))))))).
% 37.36/37.55 thf(h0,negated_conjecture,(~((![X1:$i>$i>$o]:((![X2:$i>$o]:(~(((![X3:$i]:((![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4))) => (![X4:$i]:(((X1 @ X3) @ X4) => (![X5:$i]:(((X1 @ X4) @ X5) => (X2 @ X5))))))) => (~((![X3:$i]:((![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4))) => (X2 @ X3))))))))) => (~(((![X2:$i]:((X1 @ X2) @ X2)) => (~((![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))))))))),inference(assume_negation,[status(cth)],[thm])).
% 37.36/37.55 thf(ax1276, axiom, (p1|~(p2)), file('<stdin>', ax1276)).
% 37.36/37.55 thf(ax1277, axiom, ~(p1), file('<stdin>', ax1277)).
% 37.36/37.55 thf(ax1269, axiom, (~(p3)|~(p10)), file('<stdin>', ax1269)).
% 37.36/37.55 thf(ax1275, axiom, (p2|p3), file('<stdin>', ax1275)).
% 37.36/37.55 thf(ax1251, axiom, (~(p17)|p28), file('<stdin>', ax1251)).
% 37.36/37.55 thf(ax1262, axiom, (p10|p17), file('<stdin>', ax1262)).
% 37.36/37.55 thf(ax1252, axiom, (~(p28)|~(p27)|p7), file('<stdin>', ax1252)).
% 37.36/37.55 thf(nax27, axiom, (p27<=![X1:$i]:(f__0 @ f__1 @ X1=>f__0 @ f__1 @ X1)), file('<stdin>', nax27)).
% 37.36/37.55 thf(ax1216, axiom, (~(p3)|~(p63)), file('<stdin>', ax1216)).
% 37.36/37.55 thf(ax1273, axiom, (~(p4)|~(p5)|~(p6)), file('<stdin>', ax1273)).
% 37.36/37.55 thf(ax1274, axiom, (p2|p4), file('<stdin>', ax1274)).
% 37.36/37.55 thf(ax1272, axiom, (p5|~(p7)), file('<stdin>', ax1272)).
% 37.36/37.55 thf(ax900, axiom, (~(p219)|p318), file('<stdin>', ax900)).
% 37.36/37.55 thf(ax1052, axiom, (p63|p219), file('<stdin>', ax1052)).
% 37.36/37.55 thf(ax1271, axiom, (p6|~(p8)), file('<stdin>', ax1271)).
% 37.36/37.55 thf(ax901, axiom, (~(p318)|~(p315)|p317), file('<stdin>', ax901)).
% 37.36/37.55 thf(nax315, axiom, (p315<=![X1:$i]:(f__0 @ f__2 @ X1=>f__0 @ f__2 @ X1)), file('<stdin>', nax315)).
% 37.36/37.55 thf(ax1266, axiom, (p8|~(p13)), file('<stdin>', ax1266)).
% 37.36/37.55 thf(ax902, axiom, (~(p317)|p316), file('<stdin>', ax902)).
% 37.36/37.55 thf(ax1257, axiom, (p13|~(p22)), file('<stdin>', ax1257)).
% 37.36/37.55 thf(ax904, axiom, (~(p219)|p314), file('<stdin>', ax904)).
% 37.36/37.55 thf(ax903, axiom, (~(p316)|~(p53)|p311), file('<stdin>', ax903)).
% 37.36/37.55 thf(ax1241, axiom, (p22|~(p38)), file('<stdin>', ax1241)).
% 37.36/37.55 thf(ax905, axiom, (~(p314)|~(p311)|p313), file('<stdin>', ax905)).
% 37.36/37.55 thf(ax1226, axiom, (p38|p53), file('<stdin>', ax1226)).
% 37.36/37.55 thf(ax898, axiom, (~(p220)|p319), file('<stdin>', ax898)).
% 37.36/37.55 thf(ax1051, axiom, (p63|p220), file('<stdin>', ax1051)).
% 37.36/37.55 thf(ax906, axiom, (~(p313)|p312), file('<stdin>', ax906)).
% 37.36/37.55 thf(ax899, axiom, (~(p319)|~(p303)|p39), file('<stdin>', ax899)).
% 37.36/37.55 thf(ax907, axiom, (~(p312)|~(p54)|p303), file('<stdin>', ax907)).
% 37.36/37.55 thf(ax1225, axiom, (p38|p54), file('<stdin>', ax1225)).
% 37.36/37.55 thf(ax1240, axiom, (p22|~(p39)), file('<stdin>', ax1240)).
% 37.36/37.55 thf(c_0_32, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax1276])).
% 37.36/37.55 thf(c_0_33, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1277])).
% 37.36/37.55 thf(c_0_34, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_32])).
% 37.36/37.55 thf(c_0_35, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_33])).
% 37.36/37.55 thf(c_0_36, plain, (~p3|~p10), inference(fof_simplification,[status(thm)],[ax1269])).
% 37.36/37.55 thf(c_0_37, plain, (p2|p3), inference(split_conjunct,[status(thm)],[ax1275])).
% 37.36/37.55 thf(c_0_38, plain, ~p2, inference(sr,[status(thm)],[c_0_34, c_0_35])).
% 37.36/37.55 thf(c_0_39, plain, (~p3|~p10), inference(split_conjunct,[status(thm)],[c_0_36])).
% 37.36/37.55 thf(c_0_40, plain, p3, inference(sr,[status(thm)],[c_0_37, c_0_38])).
% 37.36/37.55 thf(c_0_41, plain, (~p17|p28), inference(fof_simplification,[status(thm)],[ax1251])).
% 37.36/37.55 thf(c_0_42, plain, (p10|p17), inference(split_conjunct,[status(thm)],[ax1262])).
% 37.36/37.55 thf(c_0_43, plain, ~p10, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 37.36/37.56 thf(c_0_44, plain, (~p28|~p27|p7), inference(fof_simplification,[status(thm)],[ax1252])).
% 37.36/37.56 thf(c_0_45, plain, p27, inference(fof_simplification,[status(thm)],[nax27])).
% 37.36/37.56 thf(c_0_46, plain, (p28|~p17), inference(split_conjunct,[status(thm)],[c_0_41])).
% 37.36/37.56 thf(c_0_47, plain, p17, inference(sr,[status(thm)],[c_0_42, c_0_43])).
% 37.36/37.56 thf(c_0_48, plain, (~p3|~p63), inference(fof_simplification,[status(thm)],[ax1216])).
% 37.36/37.56 thf(c_0_49, plain, (~p4|~p5|~p6), inference(fof_simplification,[status(thm)],[ax1273])).
% 37.36/37.56 thf(c_0_50, plain, (p2|p4), inference(split_conjunct,[status(thm)],[ax1274])).
% 37.36/37.56 thf(c_0_51, plain, (p5|~p7), inference(fof_simplification,[status(thm)],[ax1272])).
% 37.36/37.56 thf(c_0_52, plain, (p7|~p28|~p27), inference(split_conjunct,[status(thm)],[c_0_44])).
% 37.36/37.56 thf(c_0_53, plain, p27, inference(split_conjunct,[status(thm)],[c_0_45])).
% 37.36/37.56 thf(c_0_54, plain, p28, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
% 37.36/37.56 thf(c_0_55, plain, (~p3|~p63), inference(split_conjunct,[status(thm)],[c_0_48])).
% 37.36/37.56 thf(c_0_56, plain, (~p4|~p5|~p6), inference(split_conjunct,[status(thm)],[c_0_49])).
% 37.36/37.56 thf(c_0_57, plain, p4, inference(sr,[status(thm)],[c_0_50, c_0_38])).
% 37.36/37.56 thf(c_0_58, plain, (p5|~p7), inference(split_conjunct,[status(thm)],[c_0_51])).
% 37.36/37.56 thf(c_0_59, plain, p7, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53]), c_0_54])])).
% 37.36/37.56 thf(c_0_60, plain, (~p219|p318), inference(fof_simplification,[status(thm)],[ax900])).
% 37.36/37.56 thf(c_0_61, plain, (p63|p219), inference(split_conjunct,[status(thm)],[ax1052])).
% 37.36/37.56 thf(c_0_62, plain, ~p63, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_40])])).
% 37.36/37.56 thf(c_0_63, plain, (p6|~p8), inference(fof_simplification,[status(thm)],[ax1271])).
% 37.36/37.56 thf(c_0_64, plain, (~p5|~p6), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
% 37.36/37.56 thf(c_0_65, plain, p5, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])])).
% 37.36/37.56 thf(c_0_66, plain, (~p318|~p315|p317), inference(fof_simplification,[status(thm)],[ax901])).
% 37.36/37.56 thf(c_0_67, plain, p315, inference(fof_simplification,[status(thm)],[nax315])).
% 37.36/37.56 thf(c_0_68, plain, (p318|~p219), inference(split_conjunct,[status(thm)],[c_0_60])).
% 37.36/37.56 thf(c_0_69, plain, p219, inference(sr,[status(thm)],[c_0_61, c_0_62])).
% 37.36/37.56 thf(c_0_70, plain, (p8|~p13), inference(fof_simplification,[status(thm)],[ax1266])).
% 37.36/37.56 thf(c_0_71, plain, (p6|~p8), inference(split_conjunct,[status(thm)],[c_0_63])).
% 37.36/37.56 thf(c_0_72, plain, ~p6, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])])).
% 37.36/37.56 thf(c_0_73, plain, (~p317|p316), inference(fof_simplification,[status(thm)],[ax902])).
% 37.36/37.56 thf(c_0_74, plain, (p317|~p318|~p315), inference(split_conjunct,[status(thm)],[c_0_66])).
% 37.36/37.56 thf(c_0_75, plain, p315, inference(split_conjunct,[status(thm)],[c_0_67])).
% 37.36/37.56 thf(c_0_76, plain, p318, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_69])])).
% 37.36/37.56 thf(c_0_77, plain, (p13|~p22), inference(fof_simplification,[status(thm)],[ax1257])).
% 37.36/37.56 thf(c_0_78, plain, (p8|~p13), inference(split_conjunct,[status(thm)],[c_0_70])).
% 37.36/37.56 thf(c_0_79, plain, ~p8, inference(sr,[status(thm)],[c_0_71, c_0_72])).
% 37.36/37.56 thf(c_0_80, plain, (~p219|p314), inference(fof_simplification,[status(thm)],[ax904])).
% 37.36/37.56 thf(c_0_81, plain, (~p316|~p53|p311), inference(fof_simplification,[status(thm)],[ax903])).
% 37.36/37.56 thf(c_0_82, plain, (p316|~p317), inference(split_conjunct,[status(thm)],[c_0_73])).
% 37.36/37.56 thf(c_0_83, plain, p317, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75]), c_0_76])])).
% 37.36/37.56 thf(c_0_84, plain, (p22|~p38), inference(fof_simplification,[status(thm)],[ax1241])).
% 37.36/37.56 thf(c_0_85, plain, (p13|~p22), inference(split_conjunct,[status(thm)],[c_0_77])).
% 37.36/37.56 thf(c_0_86, plain, ~p13, inference(sr,[status(thm)],[c_0_78, c_0_79])).
% 37.36/37.56 thf(c_0_87, plain, (~p314|~p311|p313), inference(fof_simplification,[status(thm)],[ax905])).
% 37.36/37.56 thf(c_0_88, plain, (p314|~p219), inference(split_conjunct,[status(thm)],[c_0_80])).
% 37.36/37.56 thf(c_0_89, plain, (p311|~p316|~p53), inference(split_conjunct,[status(thm)],[c_0_81])).
% 37.36/37.56 thf(c_0_90, plain, p316, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_83])])).
% 37.36/37.56 thf(c_0_91, plain, (p22|~p38), inference(split_conjunct,[status(thm)],[c_0_84])).
% 37.36/37.56 thf(c_0_92, plain, (p38|p53), inference(split_conjunct,[status(thm)],[ax1226])).
% 37.36/37.56 thf(c_0_93, plain, ~p22, inference(sr,[status(thm)],[c_0_85, c_0_86])).
% 37.36/37.56 thf(c_0_94, plain, (p313|~p314|~p311), inference(split_conjunct,[status(thm)],[c_0_87])).
% 37.36/37.56 thf(c_0_95, plain, p314, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_69])])).
% 37.36/37.56 thf(c_0_96, plain, (p311|~p53), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])).
% 37.36/37.56 thf(c_0_97, plain, p53, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93])).
% 37.36/37.56 thf(c_0_98, plain, (~p220|p319), inference(fof_simplification,[status(thm)],[ax898])).
% 37.36/37.56 thf(c_0_99, plain, (p63|p220), inference(split_conjunct,[status(thm)],[ax1051])).
% 37.36/37.56 thf(c_0_100, plain, (~p313|p312), inference(fof_simplification,[status(thm)],[ax906])).
% 37.36/37.56 thf(c_0_101, plain, (p313|~p311), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_95])])).
% 37.36/37.56 thf(c_0_102, plain, p311, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_97])])).
% 37.36/37.56 thf(c_0_103, plain, (~p319|~p303|p39), inference(fof_simplification,[status(thm)],[ax899])).
% 37.36/37.56 thf(c_0_104, plain, (p319|~p220), inference(split_conjunct,[status(thm)],[c_0_98])).
% 37.36/37.56 thf(c_0_105, plain, p220, inference(sr,[status(thm)],[c_0_99, c_0_62])).
% 37.36/37.56 thf(c_0_106, plain, (~p312|~p54|p303), inference(fof_simplification,[status(thm)],[ax907])).
% 37.36/37.56 thf(c_0_107, plain, (p38|p54), inference(split_conjunct,[status(thm)],[ax1225])).
% 37.36/37.56 thf(c_0_108, plain, (p312|~p313), inference(split_conjunct,[status(thm)],[c_0_100])).
% 37.36/37.56 thf(c_0_109, plain, p313, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101, c_0_102])])).
% 37.36/37.56 thf(c_0_110, plain, (p22|~p39), inference(fof_simplification,[status(thm)],[ax1240])).
% 37.36/37.56 thf(c_0_111, plain, (p39|~p319|~p303), inference(split_conjunct,[status(thm)],[c_0_103])).
% 37.36/37.56 thf(c_0_112, plain, p319, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104, c_0_105])])).
% 37.36/37.56 thf(c_0_113, plain, (p303|~p312|~p54), inference(split_conjunct,[status(thm)],[c_0_106])).
% 37.36/37.56 thf(c_0_114, plain, p54, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_107]), c_0_93])).
% 37.36/37.56 thf(c_0_115, plain, p312, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_109])])).
% 37.36/37.56 thf(c_0_116, plain, (p22|~p39), inference(split_conjunct,[status(thm)],[c_0_110])).
% 37.36/37.56 thf(c_0_117, plain, (p39|~p303), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_112])])).
% 37.36/37.56 thf(c_0_118, plain, p303, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113, c_0_114]), c_0_115])])).
% 37.36/37.56 thf(c_0_119, plain, ~p39, inference(sr,[status(thm)],[c_0_116, c_0_93])).
% 37.36/37.56 thf(c_0_120, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_118])]), c_0_119]), ['proof']).
% 37.36/37.56 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 37.36/37.56 thf(0,theorem,(![X1:$i>$i>$o]:((![X2:$i>$o]:(~(((![X3:$i]:((~((~((![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4))))))) => (![X4:$i]:(((X1 @ X3) @ X4) => (![X5:$i]:(((X1 @ X4) @ X5) => (X2 @ X5))))))) => (~((![X3:$i]:((~((~((![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4))))))) => (X2 @ X3))))))))) => (~(((![X2:$i]:((X1 @ X2) @ X2)) => (~((![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 37.36/37.56 % SZS output end Proof
%------------------------------------------------------------------------------