%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PRO004+4 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 : Sat Jun 21 05:23:01 AM UTC 2025
% Result : Theorem 3.13s 3.34s
% Output : Proof 3.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO004+4 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 02:30:47 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.13/3.34 % SZS status Theorem
% 3.13/3.34 % SZS output start Proof
% 3.13/3.34 tff(tptp_fun_X42_4_type, type, (
% 3.13/3.34 tptp_fun_X42_4: $i > $i)).
% 3.13/3.34 tff(tptp_fun_X110_14_type, type, (
% 3.13/3.34 tptp_fun_X110_14: $i > $i)).
% 3.13/3.34 tff(tptp_fun_X102_13_type, type, (
% 3.13/3.34 tptp_fun_X102_13: $i > $i)).
% 3.13/3.34 tff(tptp_fun_X24_2_type, type, (
% 3.13/3.34 tptp_fun_X24_2: ( $i * $i * $i ) > $i)).
% 3.13/3.34 tff(tptp_fun_X111_15_type, type, (
% 3.13/3.34 tptp_fun_X111_15: $i)).
% 3.13/3.34 tff(tptp_fun_X71_10_type, type, (
% 3.13/3.34 tptp_fun_X71_10: ( $i * $i ) > $i)).
% 3.13/3.34 tff(tptp_fun_X103_12_type, type, (
% 3.13/3.34 tptp_fun_X103_12: $i > $i)).
% 3.13/3.34 tff(tptp0_type, type, (
% 3.13/3.34 tptp0: $i)).
% 3.13/3.34 tff(tptp3_type, type, (
% 3.13/3.34 tptp3: $i)).
% 3.13/3.34 tff(tptp1_type, type, (
% 3.13/3.34 tptp1: $i)).
% 3.13/3.34 tff(occurrence_of_type, type, (
% 3.13/3.34 occurrence_of: ( $i * $i ) > $o)).
% 3.13/3.34 tff(activity_type, type, (
% 3.13/3.34 activity: $i > $o)).
% 3.13/3.34 tff(activity_occurrence_type, type, (
% 3.13/3.34 activity_occurrence: $i > $o)).
% 3.13/3.34 tff(next_subocc_type, type, (
% 3.13/3.34 next_subocc: ( $i * $i * $i ) > $o)).
% 3.13/3.34 tff(leaf_occ_type, type, (
% 3.13/3.34 leaf_occ: ( $i * $i ) > $o)).
% 3.13/3.34 tff(tptp_fun_X57_8_type, type, (
% 3.13/3.34 tptp_fun_X57_8: ( $i * $i ) > $i)).
% 3.13/3.34 tff(leaf_type, type, (
% 3.13/3.34 leaf: ( $i * $i ) > $o)).
% 3.13/3.34 tff(subactivity_occurrence_type, type, (
% 3.13/3.34 subactivity_occurrence: ( $i * $i ) > $o)).
% 3.13/3.34 tff(min_precedes_type, type, (
% 3.13/3.34 min_precedes: ( $i * $i * $i ) > $o)).
% 3.13/3.34 tff(tptp_fun_X27_3_type, type, (
% 3.13/3.34 tptp_fun_X27_3: ( $i * $i ) > $i)).
% 3.13/3.34 tff(root_type, type, (
% 3.13/3.34 root: ( $i * $i ) > $o)).
% 3.13/3.34 tff(tptp_fun_X81_11_type, type, (
% 3.13/3.34 tptp_fun_X81_11: ( $i * $i * $i ) > $i)).
% 3.13/3.34 tff(root_occ_type, type, (
% 3.13/3.34 root_occ: ( $i * $i ) > $o)).
% 3.13/3.34 tff(tptp4_type, type, (
% 3.13/3.34 tptp4: $i)).
% 3.13/3.34 tff(atomic_type, type, (
% 3.13/3.34 atomic: $i > $o)).
% 3.13/3.34 tff(arboreal_type, type, (
% 3.13/3.34 arboreal: $i > $o)).
% 3.13/3.34 tff(tptp_fun_X49_6_type, type, (
% 3.13/3.34 tptp_fun_X49_6: ( $i * $i ) > $i)).
% 3.13/3.34 tff(tptp_fun_X50_7_type, type, (
% 3.13/3.34 tptp_fun_X50_7: ( $i * $i ) > $i)).
% 3.13/3.34 tff(tptp_fun_X60_9_type, type, (
% 3.13/3.34 tptp_fun_X60_9: ( $i * $i ) > $i)).
% 3.13/3.34 tff(tptp_fun_X2_0_type, type, (
% 3.13/3.34 tptp_fun_X2_0: ( $i * $i ) > $i)).
% 3.13/3.34 tff(legal_type, type, (
% 3.13/3.34 legal: $i > $o)).
% 3.13/3.34 tff(1,plain,
% 3.13/3.34 ((tptp3 = tptp1) <=> (tptp1 = tptp3)),
% 3.13/3.34 inference(commutativity,[status(thm)],[])).
% 3.13/3.34 tff(2,assumption,(~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))), introduced(assumption)).
% 3.13/3.34 tff(3,plain,
% 3.13/3.34 (((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.13/3.34 inference(tautology,[status(thm)],[])).
% 3.13/3.34 tff(4,plain,
% 3.13/3.34 (occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[3, 2])).
% 3.13/3.34 tff(5,plain,
% 3.13/3.34 (?[X111: $i] : occurrence_of(X111, tptp0) <=> ?[X111: $i] : occurrence_of(X111, tptp0)),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(6,plain,
% 3.13/3.34 ((~(~?[X111: $i] : occurrence_of(X111, tptp0))) <=> ?[X111: $i] : occurrence_of(X111, tptp0)),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(7,plain,
% 3.13/3.34 ((~?[X111: $i] : occurrence_of(X111, tptp0)) <=> (~?[X111: $i] : occurrence_of(X111, tptp0))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(8,plain,
% 3.13/3.34 ((~(~?[X111: $i] : occurrence_of(X111, tptp0))) <=> (~(~?[X111: $i] : occurrence_of(X111, tptp0)))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[7])).
% 3.13/3.34 tff(9,plain,
% 3.13/3.34 ((~(~?[X111: $i] : occurrence_of(X111, tptp0))) <=> ?[X111: $i] : occurrence_of(X111, tptp0)),
% 3.13/3.34 inference(transitivity,[status(thm)],[8, 6])).
% 3.13/3.34 tff(10,axiom,(~(~?[X111: $i] : occurrence_of(X111, tptp0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 3.13/3.34 tff(11,plain,
% 3.13/3.34 (?[X111: $i] : occurrence_of(X111, tptp0)),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[10, 9])).
% 3.13/3.34 tff(12,plain,
% 3.13/3.34 (?[X111: $i] : occurrence_of(X111, tptp0)),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[11, 5])).
% 3.13/3.34 tff(13,plain,(
% 3.13/3.34 occurrence_of(X111!15, tptp0)),
% 3.13/3.34 inference(skolemize,[status(sab)],[12])).
% 3.13/3.34 tff(14,plain,
% 3.13/3.34 (^[X12: $i, X13: $i] : refl(((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(15,plain,
% 3.13/3.34 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[14])).
% 3.13/3.34 tff(16,plain,
% 3.13/3.34 (^[X12: $i, X13: $i] : rewrite(((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(17,plain,
% 3.13/3.34 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[16])).
% 3.13/3.34 tff(18,plain,
% 3.13/3.34 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(19,plain,
% 3.13/3.34 (^[X12: $i, X13: $i] : rewrite((occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(20,plain,
% 3.13/3.34 (![X12: $i, X13: $i] : (occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[19])).
% 3.13/3.34 tff(21,axiom,(![X12: $i, X13: $i] : (occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_03')).
% 3.13/3.34 tff(22,plain,
% 3.13/3.34 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[21, 20])).
% 3.13/3.34 tff(23,plain,
% 3.13/3.34 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[22, 18])).
% 3.13/3.34 tff(24,plain,(
% 3.13/3.34 ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 3.13/3.34 inference(skolemize,[status(sab)],[23])).
% 3.13/3.34 tff(25,plain,
% 3.13/3.34 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[24, 17])).
% 3.13/3.34 tff(26,plain,
% 3.13/3.34 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[25, 15])).
% 3.13/3.34 tff(27,plain,
% 3.13/3.34 (((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(X111!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X111!15)))))) <=> ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(X111!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X111!15)))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(28,plain,
% 3.13/3.34 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(X111!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X111!15)))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(29,plain,
% 3.13/3.34 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(X111!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X111!15))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[28, 27])).
% 3.13/3.34 tff(30,plain,
% 3.13/3.34 (~((~activity(tptp0)) | (~activity_occurrence(X111!15)))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[29, 26, 13])).
% 3.13/3.34 tff(31,plain,
% 3.13/3.34 (((~activity(tptp0)) | (~activity_occurrence(X111!15))) | activity_occurrence(X111!15)),
% 3.13/3.34 inference(tautology,[status(thm)],[])).
% 3.13/3.34 tff(32,plain,
% 3.13/3.34 (activity_occurrence(X111!15)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[31, 30])).
% 3.13/3.34 tff(33,plain,
% 3.13/3.34 (^[X41: $i] : refl(((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))) <=> ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(34,plain,
% 3.13/3.34 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[33])).
% 3.13/3.34 tff(35,plain,
% 3.13/3.34 (^[X41: $i] : rewrite(((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41)))) <=> ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(36,plain,
% 3.13/3.34 (![X41: $i] : ((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41)))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[35])).
% 3.13/3.34 tff(37,plain,
% 3.13/3.34 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(38,plain,
% 3.13/3.34 (^[X41: $i] : rewrite((activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))) <=> ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(39,plain,
% 3.13/3.34 (![X41: $i] : (activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[38])).
% 3.13/3.34 tff(40,axiom,(![X41: $i] : (activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_12')).
% 3.13/3.34 tff(41,plain,
% 3.13/3.34 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[40, 39])).
% 3.13/3.34 tff(42,plain,
% 3.13/3.34 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[41, 37])).
% 3.13/3.34 tff(43,plain,(
% 3.13/3.34 ![X41: $i] : ((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41))))),
% 3.13/3.34 inference(skolemize,[status(sab)],[42])).
% 3.13/3.34 tff(44,plain,
% 3.13/3.34 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[43, 36])).
% 3.13/3.34 tff(45,plain,
% 3.13/3.34 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[44, 34])).
% 3.13/3.34 tff(46,plain,
% 3.13/3.34 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(X111!15)) | (~((~activity(tptp_fun_X42_4(X111!15))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(X111!15)) | (~((~activity(tptp_fun_X42_4(X111!15))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(47,plain,
% 3.13/3.34 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(X111!15)) | (~((~activity(tptp_fun_X42_4(X111!15))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(48,plain,
% 3.13/3.34 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(X111!15)) | (~((~activity(tptp_fun_X42_4(X111!15))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15)))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[47, 46])).
% 3.13/3.34 tff(49,plain,
% 3.13/3.34 (~((~activity(tptp_fun_X42_4(X111!15))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[48, 45, 32])).
% 3.13/3.34 tff(50,plain,
% 3.13/3.34 (((~activity(tptp_fun_X42_4(X111!15))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15)))) | occurrence_of(X111!15, tptp_fun_X42_4(X111!15))),
% 3.13/3.34 inference(tautology,[status(thm)],[])).
% 3.13/3.34 tff(51,plain,
% 3.13/3.34 (occurrence_of(X111!15, tptp_fun_X42_4(X111!15))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[50, 49])).
% 3.13/3.34 tff(52,plain,
% 3.13/3.34 (^[X28: $i, X29: $i, X30: $i] : refl(((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) <=> ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(53,plain,
% 3.13/3.34 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) <=> ![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[52])).
% 3.13/3.34 tff(54,plain,
% 3.13/3.34 (^[X28: $i, X29: $i, X30: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X28, X29) & occurrence_of(X28, X30)) <=> (~((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))), ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) <=> (~(~((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))))), rewrite((~(~((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))) <=> ((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))), ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) <=> ((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))), (((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> (((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) | (X29 = X30)))), rewrite((((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) | (X29 = X30)) <=> ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))), (((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(55,plain,
% 3.13/3.34 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> ![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[54])).
% 3.13/3.34 tff(56,plain,
% 3.13/3.34 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(57,plain,
% 3.13/3.34 (^[X28: $i, X29: $i, X30: $i] : rewrite(((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30)) <=> ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(58,plain,
% 3.13/3.34 (![X28: $i, X29: $i, X30: $i] : ((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30)) <=> ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[57])).
% 3.13/3.34 tff(59,axiom,(![X28: $i, X29: $i, X30: $i] : ((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_08')).
% 3.13/3.34 tff(60,plain,
% 3.13/3.34 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[59, 58])).
% 3.13/3.34 tff(61,plain,
% 3.13/3.34 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[60, 56])).
% 3.13/3.34 tff(62,plain,(
% 3.13/3.34 ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 3.13/3.34 inference(skolemize,[status(sab)],[61])).
% 3.13/3.34 tff(63,plain,
% 3.13/3.34 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[62, 55])).
% 3.13/3.34 tff(64,plain,
% 3.13/3.34 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[63, 53])).
% 3.13/3.34 tff(65,plain,
% 3.13/3.34 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp0 = tptp_fun_X42_4(X111!15)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp0 = tptp_fun_X42_4(X111!15)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(66,plain,
% 3.13/3.34 (((tptp0 = tptp_fun_X42_4(X111!15)) | (~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15)))) <=> ((~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp0 = tptp_fun_X42_4(X111!15)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(67,plain,
% 3.13/3.34 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(X111!15)) | (~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp0 = tptp_fun_X42_4(X111!15))))),
% 3.13/3.34 inference(monotonicity,[status(thm)],[66])).
% 3.13/3.34 tff(68,plain,
% 3.13/3.34 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(X111!15)) | (~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp0 = tptp_fun_X42_4(X111!15)))),
% 3.13/3.34 inference(transitivity,[status(thm)],[67, 65])).
% 3.13/3.34 tff(69,plain,
% 3.13/3.34 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(X111!15)) | (~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(70,plain,
% 3.13/3.34 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X111!15, tptp0)) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp0 = tptp_fun_X42_4(X111!15))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[69, 68])).
% 3.13/3.34 tff(71,plain,
% 3.13/3.34 (tptp0 = tptp_fun_X42_4(X111!15)),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[70, 64, 13, 51])).
% 3.13/3.34 tff(72,plain,
% 3.13/3.34 (tptp_fun_X42_4(X111!15) = tptp0),
% 3.13/3.34 inference(symmetry,[status(thm)],[71])).
% 3.13/3.34 tff(73,plain,
% 3.13/3.34 (min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp_fun_X42_4(X111!15)) <=> min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0)),
% 3.13/3.34 inference(monotonicity,[status(thm)],[72])).
% 3.13/3.34 tff(74,plain,
% 3.13/3.34 (min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0) <=> min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp_fun_X42_4(X111!15))),
% 3.13/3.34 inference(symmetry,[status(thm)],[73])).
% 3.13/3.34 tff(75,plain,
% 3.13/3.34 (^[X78: $i, X79: $i, X80: $i] : rewrite((~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(76,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[75])).
% 3.13/3.34 tff(77,plain,
% 3.13/3.34 (^[X78: $i, X79: $i, X80: $i] : refl((~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(78,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[77])).
% 3.13/3.34 tff(79,plain,
% 3.13/3.34 (^[X78: $i, X79: $i, X80: $i] : rewrite((~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(80,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[79])).
% 3.13/3.34 tff(81,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 3.13/3.34 inference(transitivity,[status(thm)],[80, 78])).
% 3.13/3.34 tff(82,plain,
% 3.13/3.34 (^[X78: $i, X79: $i, X80: $i] : trans(monotonicity(rewrite(((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) <=> ((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))), trans(monotonicity(rewrite((min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)) <=> (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))), ((next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))) <=> (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))), rewrite((next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))) <=> (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))), ((next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))) <=> (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))), ((((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))) <=> (((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))), rewrite((((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))), ((((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(83,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[82])).
% 3.13/3.34 tff(84,plain,
% 3.13/3.34 (^[X78: $i, X79: $i, X80: $i] : rewrite((((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | ((~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))) <=> (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(85,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | ((~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))) <=> ![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[84])).
% 3.13/3.34 tff(86,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) <=> ![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80)))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(87,axiom,(![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_26')).
% 3.13/3.34 tff(88,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80)))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[87, 86])).
% 3.13/3.34 tff(89,plain,(
% 3.13/3.34 ![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | ((~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))),
% 3.13/3.34 inference(skolemize,[status(sab)],[88])).
% 3.13/3.34 tff(90,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[89, 85])).
% 3.13/3.34 tff(91,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[90, 83])).
% 3.13/3.34 tff(92,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[91, 81])).
% 3.13/3.34 tff(93,plain,
% 3.13/3.34 (![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[92, 76])).
% 3.13/3.34 tff(94,plain,
% 3.13/3.34 ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0) | (~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(X111!15), tptp_fun_X102_13(X111!15)), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(X111!15), tptp_fun_X102_13(X111!15)), tptp_fun_X103_12(X111!15), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0))))))))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(95,plain,
% 3.13/3.34 (~((~(next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0) | (~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(X111!15), tptp_fun_X102_13(X111!15)), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(X111!15), tptp_fun_X102_13(X111!15)), tptp_fun_X103_12(X111!15), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0)))))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[94, 93])).
% 3.13/3.34 tff(96,plain,
% 3.13/3.34 (((~(next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0) | (~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(X111!15), tptp_fun_X102_13(X111!15)), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(X111!15), tptp_fun_X102_13(X111!15)), tptp_fun_X103_12(X111!15), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0))))))))) | ((~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0)))))))),
% 3.13/3.34 inference(tautology,[status(thm)],[])).
% 3.13/3.34 tff(97,plain,
% 3.13/3.34 ((~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0))))))),
% 3.13/3.34 inference(unit_resolution,[status(thm)],[96, 95])).
% 3.13/3.34 tff(98,plain,
% 3.13/3.34 (^[X101: $i] : refl(((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))))) <=> ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(99,plain,
% 3.13/3.34 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))))) <=> ![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[98])).
% 3.13/3.34 tff(100,plain,
% 3.13/3.34 (^[X101: $i] : rewrite(((~occurrence_of(X101, tptp0)) | (occurrence_of(tptp_fun_X102_13(X101), tptp4) & root_occ(tptp_fun_X102_13(X101), X101) & occurrence_of(tptp_fun_X103_12(X101), tptp3) & leaf_occ(tptp_fun_X103_12(X101), X101) & next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))) <=> ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(101,plain,
% 3.13/3.34 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | (occurrence_of(tptp_fun_X102_13(X101), tptp4) & root_occ(tptp_fun_X102_13(X101), X101) & occurrence_of(tptp_fun_X103_12(X101), tptp3) & leaf_occ(tptp_fun_X103_12(X101), X101) & next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))) <=> ![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[100])).
% 3.13/3.34 tff(102,plain,
% 3.13/3.34 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))) <=> ![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(103,plain,
% 3.13/3.34 (^[X101: $i] : trans(monotonicity(quant_intro(proof_bind(^[X102: $i, X103: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3))), ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) <=> ((occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)))), rewrite(((occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101))), ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101)))), (((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> ((occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)))), rewrite(((occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))), (((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))))), (?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))), ((occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0))) <=> (occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))))), rewrite((occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))) <=> ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))), ((occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0))) <=> ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))))),
% 3.13/3.34 inference(bind,[status(th)],[])).
% 3.13/3.34 tff(104,plain,
% 3.13/3.34 (![X101: $i] : (occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0))) <=> ![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 3.13/3.34 inference(quant_intro,[status(thm)],[103])).
% 3.13/3.34 tff(105,axiom,(![X101: $i] : (occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_32')).
% 3.13/3.34 tff(106,plain,
% 3.13/3.34 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[105, 104])).
% 3.13/3.34 tff(107,plain,
% 3.13/3.34 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & occurrence_of(X103, tptp3) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[106, 102])).
% 3.13/3.34 tff(108,plain,(
% 3.13/3.34 ![X101: $i] : ((~occurrence_of(X101, tptp0)) | (occurrence_of(tptp_fun_X102_13(X101), tptp4) & root_occ(tptp_fun_X102_13(X101), X101) & occurrence_of(tptp_fun_X103_12(X101), tptp3) & leaf_occ(tptp_fun_X103_12(X101), X101) & next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))),
% 3.13/3.34 inference(skolemize,[status(sab)],[107])).
% 3.13/3.34 tff(109,plain,
% 3.13/3.34 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[108, 101])).
% 3.13/3.34 tff(110,plain,
% 3.13/3.34 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))),
% 3.13/3.34 inference(modus_ponens,[status(thm)],[109, 99])).
% 3.13/3.34 tff(111,plain,
% 3.13/3.34 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(X111!15, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~root_occ(tptp_fun_X102_13(X111!15), X111!15)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(X111!15, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~root_occ(tptp_fun_X102_13(X111!15), X111!15)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)))))),
% 3.13/3.34 inference(rewrite,[status(thm)],[])).
% 3.13/3.34 tff(112,plain,
% 3.13/3.34 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(X111!15, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~root_occ(tptp_fun_X102_13(X111!15), X111!15)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)))))),
% 3.13/3.34 inference(quant_inst,[status(thm)],[])).
% 3.13/3.34 tff(113,plain,
% 3.13/3.34 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(X111!15, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~root_occ(tptp_fun_X102_13(X111!15), X111!15)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[112, 111])).
% 3.13/3.35 tff(114,plain,
% 3.13/3.35 (~((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~root_occ(tptp_fun_X102_13(X111!15), X111!15)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[113, 110, 13])).
% 3.13/3.35 tff(115,plain,
% 3.13/3.35 (((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~root_occ(tptp_fun_X102_13(X111!15), X111!15)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0))) | next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)),
% 3.13/3.35 inference(tautology,[status(thm)],[])).
% 3.13/3.35 tff(116,plain,
% 3.13/3.35 (next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[115, 114])).
% 3.13/3.35 tff(117,plain,
% 3.13/3.35 ((~((~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0)))))))) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0))))))),
% 3.13/3.35 inference(tautology,[status(thm)],[])).
% 3.13/3.35 tff(118,plain,
% 3.13/3.35 ((~((~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0)))))))) | (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[117, 116])).
% 3.13/3.35 tff(119,plain,
% 3.13/3.35 (~((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[118, 97])).
% 3.13/3.35 tff(120,plain,
% 3.13/3.35 (((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), X81, tptp0))))) | min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)),
% 3.13/3.35 inference(tautology,[status(thm)],[])).
% 3.13/3.35 tff(121,plain,
% 3.13/3.35 (min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[120, 119])).
% 3.13/3.35 tff(122,plain,
% 3.13/3.35 (^[X68: $i, X69: $i, X70: $i] : refl(((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))))) <=> ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(123,plain,
% 3.13/3.35 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))))) <=> ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[122])).
% 3.13/3.35 tff(124,plain,
% 3.13/3.35 (^[X68: $i, X69: $i, X70: $i] : rewrite(((~min_precedes(X68, X69, X70)) | (root(tptp_fun_X71_10(X70, X69), X70) & min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))) <=> ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(125,plain,
% 3.13/3.35 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (root(tptp_fun_X71_10(X70, X69), X70) & min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))) <=> ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[124])).
% 3.13/3.35 tff(126,plain,
% 3.13/3.35 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70))) <=> ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(127,plain,
% 3.13/3.35 (^[X68: $i, X69: $i, X70: $i] : rewrite((min_precedes(X68, X69, X70) => ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70))) <=> ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(128,plain,
% 3.13/3.35 (![X68: $i, X69: $i, X70: $i] : (min_precedes(X68, X69, X70) => ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70))) <=> ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[127])).
% 3.13/3.35 tff(129,axiom,(![X68: $i, X69: $i, X70: $i] : (min_precedes(X68, X69, X70) => ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_23')).
% 3.13/3.35 tff(130,plain,
% 3.13/3.35 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[129, 128])).
% 3.13/3.35 tff(131,plain,
% 3.13/3.35 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[130, 126])).
% 3.13/3.35 tff(132,plain,(
% 3.13/3.35 ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (root(tptp_fun_X71_10(X70, X69), X70) & min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))),
% 3.13/3.35 inference(skolemize,[status(sab)],[131])).
% 3.13/3.35 tff(133,plain,
% 3.13/3.35 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[132, 125])).
% 3.13/3.35 tff(134,plain,
% 3.13/3.35 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[133, 123])).
% 3.13/3.35 tff(135,plain,
% 3.13/3.35 (((~![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))) | ((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0)))))) <=> ((~![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))) | (~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0)))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(136,plain,
% 3.13/3.35 ((~![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))) | ((~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0)))))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(137,plain,
% 3.13/3.35 ((~![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))) | (~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[136, 135])).
% 3.13/3.35 tff(138,plain,
% 3.13/3.35 (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0)))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[137, 134, 121])).
% 3.13/3.35 tff(139,plain,
% 3.13/3.35 (((~root(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0)),
% 3.13/3.35 inference(tautology,[status(thm)],[])).
% 3.13/3.35 tff(140,plain,
% 3.13/3.35 (min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp0)),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[139, 138])).
% 3.13/3.35 tff(141,plain,
% 3.13/3.35 (min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp_fun_X42_4(X111!15))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[140, 74])).
% 3.13/3.35 tff(142,plain,
% 3.13/3.35 (^[X21: $i, X22: $i, X23: $i] : refl(((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))) <=> ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(143,plain,
% 3.13/3.35 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[142])).
% 3.13/3.35 tff(144,plain,
% 3.13/3.35 (^[X21: $i, X22: $i, X23: $i] : rewrite(((~min_precedes(X22, X23, X21)) | (occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21) & subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21)) & subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))) <=> ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(145,plain,
% 3.13/3.35 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21) & subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21)) & subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[144])).
% 3.13/3.35 tff(146,plain,
% 3.13/3.35 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(147,plain,
% 3.13/3.35 (^[X21: $i, X22: $i, X23: $i] : trans(monotonicity(quant_intro(proof_bind(^[X24: $i] : rewrite(((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24)) <=> (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))), (?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24)) <=> ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))), ((min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24))) <=> (min_precedes(X22, X23, X21) => ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24))))), rewrite((min_precedes(X22, X23, X21) => ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24))) <=> ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))), ((min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24))) <=> ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(148,plain,
% 3.13/3.35 (![X21: $i, X22: $i, X23: $i] : (min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[147])).
% 3.13/3.35 tff(149,axiom,(![X21: $i, X22: $i, X23: $i] : (min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_06')).
% 3.13/3.35 tff(150,plain,
% 3.13/3.35 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[149, 148])).
% 3.13/3.35 tff(151,plain,
% 3.13/3.35 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[150, 146])).
% 3.13/3.35 tff(152,plain,(
% 3.13/3.35 ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21) & subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21)) & subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))),
% 3.13/3.35 inference(skolemize,[status(sab)],[151])).
% 3.13/3.35 tff(153,plain,
% 3.13/3.35 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[152, 145])).
% 3.13/3.35 tff(154,plain,
% 3.13/3.35 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[153, 143])).
% 3.13/3.35 tff(155,plain,
% 3.13/3.35 (((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(156,plain,
% 3.13/3.35 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(157,plain,
% 3.13/3.35 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[156, 155])).
% 3.13/3.35 tff(158,plain,
% 3.13/3.35 ((~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[157, 154])).
% 3.13/3.35 tff(159,plain,
% 3.13/3.35 (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[158, 141])).
% 3.13/3.35 tff(160,plain,
% 3.13/3.35 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.13/3.35 inference(tautology,[status(thm)],[])).
% 3.13/3.35 tff(161,plain,
% 3.13/3.35 (occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[160, 159])).
% 3.13/3.35 tff(162,plain,
% 3.13/3.35 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(163,plain,
% 3.13/3.35 (((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(164,plain,
% 3.13/3.35 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.13/3.35 inference(monotonicity,[status(thm)],[163])).
% 3.13/3.35 tff(165,plain,
% 3.13/3.35 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[164, 162])).
% 3.13/3.35 tff(166,plain,
% 3.13/3.35 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.13/3.35 inference(quant_inst,[status(thm)],[])).
% 3.13/3.35 tff(167,plain,
% 3.13/3.35 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[166, 165])).
% 3.13/3.35 tff(168,plain,
% 3.13/3.35 (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.13/3.35 inference(unit_resolution,[status(thm)],[167, 64, 161, 4])).
% 3.13/3.35 tff(169,plain,
% 3.13/3.35 (tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X42_4(X111!15)),
% 3.13/3.35 inference(symmetry,[status(thm)],[168])).
% 3.13/3.35 tff(170,plain,
% 3.13/3.35 (^[X55: $i, X56: $i] : refl((~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(171,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[170])).
% 3.13/3.35 tff(172,plain,
% 3.13/3.35 (^[X55: $i, X56: $i] : rewrite((~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(173,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[172])).
% 3.13/3.35 tff(174,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 3.13/3.35 inference(transitivity,[status(thm)],[173, 171])).
% 3.13/3.35 tff(175,plain,
% 3.13/3.35 (^[X55: $i, X56: $i] : trans(monotonicity(rewrite(((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) <=> ((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))), rewrite((leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))) <=> (leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))), ((((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))) <=> (((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55)))))) & (leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))), rewrite((((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55)))))) & (leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))), ((((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(176,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[175])).
% 3.13/3.35 tff(177,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))) <=> ![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 3.13/3.35 inference(rewrite,[status(thm)],[])).
% 3.13/3.35 tff(178,plain,
% 3.13/3.35 (^[X55: $i, X56: $i] : rewrite((leaf_occ(X55, X56) <=> ?[X57: $i] : ((occurrence_of(X56, X57) & subactivity_occurrence(X55, X56)) & leaf(X55, X57))) <=> (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))),
% 3.13/3.35 inference(bind,[status(th)],[])).
% 3.13/3.35 tff(179,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : ((occurrence_of(X56, X57) & subactivity_occurrence(X55, X56)) & leaf(X55, X57))) <=> ![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 3.13/3.35 inference(quant_intro,[status(thm)],[178])).
% 3.13/3.35 tff(180,axiom,(![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : ((occurrence_of(X56, X57) & subactivity_occurrence(X55, X56)) & leaf(X55, X57)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_18')).
% 3.13/3.35 tff(181,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[180, 179])).
% 3.13/3.35 tff(182,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[181, 177])).
% 3.13/3.35 tff(183,plain,(
% 3.13/3.35 ![X55: $i, X56: $i] : (((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))))),
% 3.13/3.35 inference(skolemize,[status(sab)],[182])).
% 3.13/3.35 tff(184,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[183, 176])).
% 3.13/3.35 tff(185,plain,
% 3.13/3.35 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 3.13/3.35 inference(modus_ponens,[status(thm)],[184, 174])).
% 3.13/3.35 tff(186,plain,
% 3.13/3.35 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(187,plain,
% 3.13/3.36 ((~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))))) <=> (~((~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))),
% 3.13/3.36 inference(rewrite,[status(thm)],[])).
% 3.13/3.36 tff(188,plain,
% 3.13/3.36 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.13/3.36 inference(monotonicity,[status(thm)],[187])).
% 3.13/3.36 tff(189,plain,
% 3.13/3.36 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.13/3.36 inference(transitivity,[status(thm)],[188, 186])).
% 3.13/3.36 tff(190,plain,
% 3.13/3.36 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57)))))))),
% 3.13/3.36 inference(quant_inst,[status(thm)],[])).
% 3.13/3.36 tff(191,plain,
% 3.13/3.36 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))),
% 3.13/3.36 inference(modus_ponens,[status(thm)],[190, 189])).
% 3.13/3.36 tff(192,plain,
% 3.13/3.36 (~((~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))),
% 3.13/3.36 inference(unit_resolution,[status(thm)],[191, 185])).
% 3.13/3.36 tff(193,plain,
% 3.13/3.36 (((~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | ((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.36 inference(tautology,[status(thm)],[])).
% 3.21/3.36 tff(194,plain,
% 3.21/3.36 ((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.36 inference(unit_resolution,[status(thm)],[193, 192])).
% 3.21/3.36 tff(195,plain,
% 3.21/3.36 (occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.21/3.36 inference(monotonicity,[status(thm)],[71])).
% 3.21/3.36 tff(196,plain,
% 3.21/3.36 (occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)),
% 3.21/3.36 inference(symmetry,[status(thm)],[195])).
% 3.21/3.36 tff(197,plain,
% 3.21/3.36 (occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)),
% 3.21/3.36 inference(modus_ponens,[status(thm)],[161, 196])).
% 3.21/3.36 tff(198,plain,
% 3.21/3.36 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))),
% 3.21/3.36 inference(rewrite,[status(thm)],[])).
% 3.21/3.36 tff(199,plain,
% 3.21/3.36 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))),
% 3.21/3.36 inference(quant_inst,[status(thm)],[])).
% 3.21/3.36 tff(200,plain,
% 3.21/3.36 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))))),
% 3.21/3.36 inference(modus_ponens,[status(thm)],[199, 198])).
% 3.21/3.36 tff(201,plain,
% 3.21/3.36 ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))))),
% 3.21/3.36 inference(unit_resolution,[status(thm)],[200, 110])).
% 3.21/3.36 tff(202,plain,
% 3.21/3.36 (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))),
% 3.21/3.36 inference(unit_resolution,[status(thm)],[201, 197])).
% 3.21/3.37 tff(203,plain,
% 3.21/3.37 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))) | leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.21/3.37 inference(tautology,[status(thm)],[])).
% 3.21/3.37 tff(204,plain,
% 3.21/3.37 (leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[203, 202])).
% 3.21/3.37 tff(205,plain,
% 3.21/3.37 ((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.37 inference(tautology,[status(thm)],[])).
% 3.21/3.37 tff(206,plain,
% 3.21/3.37 ((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[205, 204])).
% 3.21/3.37 tff(207,plain,
% 3.21/3.37 (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[206, 194])).
% 3.21/3.37 tff(208,plain,
% 3.21/3.37 (((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.37 inference(tautology,[status(thm)],[])).
% 3.21/3.37 tff(209,plain,
% 3.21/3.37 (occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[208, 207])).
% 3.21/3.37 tff(210,plain,
% 3.21/3.37 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.37 inference(rewrite,[status(thm)],[])).
% 3.21/3.37 tff(211,plain,
% 3.21/3.37 (((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.37 inference(rewrite,[status(thm)],[])).
% 3.21/3.37 tff(212,plain,
% 3.21/3.37 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.37 inference(monotonicity,[status(thm)],[211])).
% 3.21/3.37 tff(213,plain,
% 3.21/3.37 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.37 inference(transitivity,[status(thm)],[212, 210])).
% 3.21/3.37 tff(214,plain,
% 3.21/3.37 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.37 inference(quant_inst,[status(thm)],[])).
% 3.21/3.37 tff(215,plain,
% 3.21/3.37 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[214, 213])).
% 3.21/3.37 tff(216,plain,
% 3.21/3.37 (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[215, 64, 161, 209])).
% 3.21/3.37 tff(217,plain,
% 3.21/3.37 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15)) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.37 inference(monotonicity,[status(thm)],[216])).
% 3.21/3.37 tff(218,plain,
% 3.21/3.37 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))),
% 3.21/3.37 inference(symmetry,[status(thm)],[217])).
% 3.21/3.37 tff(219,plain,
% 3.21/3.37 (^[X51: $i, X52: $i] : refl(((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 3.21/3.37 inference(bind,[status(th)],[])).
% 3.21/3.37 tff(220,plain,
% 3.21/3.37 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.21/3.37 inference(quant_intro,[status(thm)],[219])).
% 3.21/3.37 tff(221,plain,
% 3.21/3.37 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.21/3.37 inference(rewrite,[status(thm)],[])).
% 3.21/3.37 tff(222,plain,
% 3.21/3.37 (^[X51: $i, X52: $i] : rewrite((occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 3.21/3.37 inference(bind,[status(th)],[])).
% 3.21/3.37 tff(223,plain,
% 3.21/3.37 (![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.21/3.37 inference(quant_intro,[status(thm)],[222])).
% 3.21/3.37 tff(224,axiom,(![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_16')).
% 3.21/3.37 tff(225,plain,
% 3.21/3.37 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[224, 223])).
% 3.21/3.37 tff(226,plain,
% 3.21/3.37 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[225, 221])).
% 3.21/3.37 tff(227,plain,(
% 3.21/3.37 ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.21/3.37 inference(skolemize,[status(sab)],[226])).
% 3.21/3.37 tff(228,plain,
% 3.21/3.37 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[227, 220])).
% 3.21/3.37 tff(229,plain,
% 3.21/3.37 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.37 inference(rewrite,[status(thm)],[])).
% 3.21/3.37 tff(230,plain,
% 3.21/3.37 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.37 inference(quant_inst,[status(thm)],[])).
% 3.21/3.37 tff(231,plain,
% 3.21/3.37 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[230, 229])).
% 3.21/3.37 tff(232,plain,
% 3.21/3.37 (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[231, 228, 209])).
% 3.21/3.37 tff(233,plain,
% 3.21/3.37 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X42_4(X111!15))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X42_4(X111!15))))),
% 3.21/3.37 inference(rewrite,[status(thm)],[])).
% 3.21/3.37 tff(234,plain,
% 3.21/3.37 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X42_4(X111!15))))),
% 3.21/3.37 inference(quant_inst,[status(thm)],[])).
% 3.21/3.37 tff(235,plain,
% 3.21/3.37 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X42_4(X111!15)))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[234, 233])).
% 3.21/3.37 tff(236,plain,
% 3.21/3.37 (arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X42_4(X111!15))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[235, 228, 161])).
% 3.21/3.37 tff(237,plain,
% 3.21/3.37 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (arboreal(X111!15) <=> atomic(tptp_fun_X42_4(X111!15))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (arboreal(X111!15) <=> atomic(tptp_fun_X42_4(X111!15))))),
% 3.21/3.37 inference(rewrite,[status(thm)],[])).
% 3.21/3.37 tff(238,plain,
% 3.21/3.37 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (arboreal(X111!15) <=> atomic(tptp_fun_X42_4(X111!15))))),
% 3.21/3.37 inference(quant_inst,[status(thm)],[])).
% 3.21/3.37 tff(239,plain,
% 3.21/3.37 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (arboreal(X111!15) <=> atomic(tptp_fun_X42_4(X111!15)))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[238, 237])).
% 3.21/3.37 tff(240,plain,
% 3.21/3.37 (arboreal(X111!15) <=> atomic(tptp_fun_X42_4(X111!15))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[239, 228, 51])).
% 3.21/3.37 tff(241,plain,
% 3.21/3.37 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X111!15, tptp0)) | (arboreal(X111!15) <=> atomic(tptp0)))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X111!15, tptp0)) | (arboreal(X111!15) <=> atomic(tptp0)))),
% 3.21/3.37 inference(rewrite,[status(thm)],[])).
% 3.21/3.37 tff(242,plain,
% 3.21/3.37 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X111!15, tptp0)) | (arboreal(X111!15) <=> atomic(tptp0)))),
% 3.21/3.37 inference(quant_inst,[status(thm)],[])).
% 3.21/3.37 tff(243,plain,
% 3.21/3.37 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X111!15, tptp0)) | (arboreal(X111!15) <=> atomic(tptp0))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[242, 241])).
% 3.21/3.37 tff(244,plain,
% 3.21/3.37 (arboreal(X111!15) <=> atomic(tptp0)),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[243, 228, 13])).
% 3.21/3.37 tff(245,plain,
% 3.21/3.37 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 3.21/3.37 inference(rewrite,[status(thm)],[])).
% 3.21/3.37 tff(246,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 3.21/3.37 tff(247,plain,
% 3.21/3.37 (~atomic(tptp0)),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[246, 245])).
% 3.21/3.37 tff(248,plain,
% 3.21/3.37 ((~(arboreal(X111!15) <=> atomic(tptp0))) | (~arboreal(X111!15)) | atomic(tptp0)),
% 3.21/3.37 inference(tautology,[status(thm)],[])).
% 3.21/3.37 tff(249,plain,
% 3.21/3.37 ((~(arboreal(X111!15) <=> atomic(tptp0))) | (~arboreal(X111!15))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[248, 247])).
% 3.21/3.37 tff(250,plain,
% 3.21/3.37 (~arboreal(X111!15)),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[249, 244])).
% 3.21/3.37 tff(251,plain,
% 3.21/3.37 ((~(arboreal(X111!15) <=> atomic(tptp_fun_X42_4(X111!15)))) | arboreal(X111!15) | (~atomic(tptp_fun_X42_4(X111!15)))),
% 3.21/3.37 inference(tautology,[status(thm)],[])).
% 3.21/3.37 tff(252,plain,
% 3.21/3.37 ((~(arboreal(X111!15) <=> atomic(tptp_fun_X42_4(X111!15)))) | (~atomic(tptp_fun_X42_4(X111!15)))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[251, 250])).
% 3.21/3.37 tff(253,plain,
% 3.21/3.37 (~atomic(tptp_fun_X42_4(X111!15))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[252, 240])).
% 3.21/3.37 tff(254,plain,
% 3.21/3.37 ((~(arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | atomic(tptp_fun_X42_4(X111!15))),
% 3.21/3.37 inference(tautology,[status(thm)],[])).
% 3.21/3.37 tff(255,plain,
% 3.21/3.37 ((~(arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[254, 253])).
% 3.21/3.37 tff(256,plain,
% 3.21/3.37 (~arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[255, 236])).
% 3.21/3.37 tff(257,plain,
% 3.21/3.37 ((~(arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.37 inference(tautology,[status(thm)],[])).
% 3.21/3.37 tff(258,plain,
% 3.21/3.37 ((~(arboreal(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) <=> atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[257, 256])).
% 3.21/3.37 tff(259,plain,
% 3.21/3.37 (~atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[258, 232])).
% 3.21/3.37 tff(260,plain,
% 3.21/3.37 (((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.37 inference(tautology,[status(thm)],[])).
% 3.21/3.37 tff(261,plain,
% 3.21/3.37 (leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.37 inference(unit_resolution,[status(thm)],[260, 207])).
% 3.21/3.37 tff(262,plain,
% 3.21/3.37 (^[X25: $i, X26: $i] : refl((atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))) <=> (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))))),
% 3.21/3.37 inference(bind,[status(th)],[])).
% 3.21/3.37 tff(263,plain,
% 3.21/3.37 (![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))) <=> ![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 3.21/3.37 inference(quant_intro,[status(thm)],[262])).
% 3.21/3.37 tff(264,plain,
% 3.21/3.37 (^[X25: $i, X26: $i] : trans(monotonicity(trans(monotonicity(rewrite((leaf(X25, X26) & (~atomic(X26))) <=> (~(atomic(X26) | (~leaf(X25, X26))))), ((~(leaf(X25, X26) & (~atomic(X26)))) <=> (~(~(atomic(X26) | (~leaf(X25, X26))))))), rewrite((~(~(atomic(X26) | (~leaf(X25, X26))))) <=> (atomic(X26) | (~leaf(X25, X26)))), ((~(leaf(X25, X26) & (~atomic(X26)))) <=> (atomic(X26) | (~leaf(X25, X26))))), rewrite((occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25))) <=> (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))), (((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25)))) <=> ((atomic(X26) | (~leaf(X25, X26))) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))))), rewrite(((atomic(X26) | (~leaf(X25, X26))) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))) <=> (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))), (((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25)))) <=> (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))))),
% 3.21/3.37 inference(bind,[status(th)],[])).
% 3.21/3.37 tff(265,plain,
% 3.21/3.37 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25)))) <=> ![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 3.21/3.37 inference(quant_intro,[status(thm)],[264])).
% 3.21/3.37 tff(266,plain,
% 3.21/3.37 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))) <=> ![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 3.21/3.37 inference(rewrite,[status(thm)],[])).
% 3.21/3.37 tff(267,plain,
% 3.21/3.37 (^[X25: $i, X26: $i] : rewrite(((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))) <=> ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))))),
% 3.21/3.37 inference(bind,[status(th)],[])).
% 3.21/3.37 tff(268,plain,
% 3.21/3.37 (![X25: $i, X26: $i] : ((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))) <=> ![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 3.21/3.37 inference(quant_intro,[status(thm)],[267])).
% 3.21/3.37 tff(269,axiom,(![X25: $i, X26: $i] : ((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_07')).
% 3.21/3.37 tff(270,plain,
% 3.21/3.37 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[269, 268])).
% 3.21/3.37 tff(271,plain,
% 3.21/3.37 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[270, 266])).
% 3.21/3.37 tff(272,plain,(
% 3.21/3.37 ![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25))))),
% 3.21/3.37 inference(skolemize,[status(sab)],[271])).
% 3.21/3.37 tff(273,plain,
% 3.21/3.37 (![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 3.21/3.37 inference(modus_ponens,[status(thm)],[272, 265])).
% 3.21/3.37 tff(274,plain,
% 3.21/3.37 (![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 3.21/3.38 inference(modus_ponens,[status(thm)],[273, 263])).
% 3.21/3.38 tff(275,plain,
% 3.21/3.38 (((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | (atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) <=> ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.38 inference(rewrite,[status(thm)],[])).
% 3.21/3.38 tff(276,plain,
% 3.21/3.38 ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | (atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.38 inference(quant_inst,[status(thm)],[])).
% 3.21/3.38 tff(277,plain,
% 3.21/3.38 ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.38 inference(modus_ponens,[status(thm)],[276, 275])).
% 3.21/3.38 tff(278,plain,
% 3.21/3.38 (atomic(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.38 inference(unit_resolution,[status(thm)],[277, 274, 261])).
% 3.21/3.38 tff(279,plain,
% 3.21/3.38 (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.38 inference(unit_resolution,[status(thm)],[278, 259])).
% 3.21/3.38 tff(280,plain,
% 3.21/3.38 (((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.38 inference(tautology,[status(thm)],[])).
% 3.21/3.38 tff(281,plain,
% 3.21/3.38 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.38 inference(unit_resolution,[status(thm)],[280, 279])).
% 3.21/3.38 tff(282,plain,
% 3.21/3.38 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))),
% 3.21/3.38 inference(modus_ponens,[status(thm)],[281, 218])).
% 3.21/3.38 tff(283,plain,
% 3.21/3.38 (tptp0 = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.21/3.38 inference(transitivity,[status(thm)],[71, 216])).
% 3.21/3.38 tff(284,plain,
% 3.21/3.38 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.38 inference(monotonicity,[status(thm)],[283])).
% 3.21/3.38 tff(285,plain,
% 3.21/3.38 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)),
% 3.21/3.38 inference(symmetry,[status(thm)],[284])).
% 3.21/3.38 tff(286,plain,
% 3.21/3.38 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)),
% 3.21/3.38 inference(modus_ponens,[status(thm)],[281, 285])).
% 3.21/3.38 tff(287,plain,
% 3.21/3.38 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp0)))))),
% 3.21/3.38 inference(rewrite,[status(thm)],[])).
% 3.21/3.38 tff(288,plain,
% 3.21/3.38 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp0)))))),
% 3.21/3.38 inference(quant_inst,[status(thm)],[])).
% 3.21/3.38 tff(289,plain,
% 3.21/3.38 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp0))))),
% 3.21/3.38 inference(modus_ponens,[status(thm)],[288, 287])).
% 3.21/3.38 tff(290,plain,
% 3.21/3.38 ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp0))))),
% 3.21/3.38 inference(unit_resolution,[status(thm)],[289, 110])).
% 3.21/3.38 tff(291,plain,
% 3.21/3.38 (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp0)))),
% 3.21/3.38 inference(unit_resolution,[status(thm)],[290, 286])).
% 3.21/3.38 tff(292,plain,
% 3.21/3.38 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp0))) | leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.39 inference(tautology,[status(thm)],[])).
% 3.21/3.39 tff(293,plain,
% 3.21/3.39 (leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.39 inference(unit_resolution,[status(thm)],[292, 291])).
% 3.21/3.39 tff(294,plain,
% 3.21/3.39 (((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.39 inference(tautology,[status(thm)],[])).
% 3.21/3.39 tff(295,plain,
% 3.21/3.39 (leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.39 inference(unit_resolution,[status(thm)],[294, 279])).
% 3.21/3.39 tff(296,plain,
% 3.21/3.39 (^[X86: $i, X87: $i, X88: $i, X89: $i] : refl((atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) <=> (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))),
% 3.21/3.39 inference(bind,[status(th)],[])).
% 3.21/3.39 tff(297,plain,
% 3.21/3.39 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 3.21/3.39 inference(quant_intro,[status(thm)],[296])).
% 3.21/3.39 tff(298,plain,
% 3.21/3.39 (^[X86: $i, X87: $i, X88: $i, X89: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)) <=> (~(atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))), ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) <=> (~(~(atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))))), rewrite((~(~(atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))) <=> (atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))), ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) <=> (atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))), (((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> ((atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) | (X86 = X87)))), rewrite(((atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) | (X86 = X87)) <=> (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))), (((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))))),
% 3.21/3.39 inference(bind,[status(th)],[])).
% 3.21/3.39 tff(299,plain,
% 3.21/3.39 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 3.21/3.39 inference(quant_intro,[status(thm)],[298])).
% 3.21/3.39 tff(300,plain,
% 3.21/3.39 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 3.21/3.39 inference(rewrite,[status(thm)],[])).
% 3.21/3.39 tff(301,plain,
% 3.21/3.39 (^[X86: $i, X87: $i, X88: $i, X89: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) <=> (occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88))), ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) <=> ((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)))), rewrite(((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) <=> (occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))), ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) <=> (occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)))), (((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)) => (X86 = X87)))), rewrite(((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))), (((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))))),
% 3.21/3.39 inference(bind,[status(th)],[])).
% 3.21/3.39 tff(302,plain,
% 3.21/3.39 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 3.21/3.39 inference(quant_intro,[status(thm)],[301])).
% 3.21/3.39 tff(303,axiom,(![X86: $i, X87: $i, X88: $i, X89: $i] : ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_28')).
% 3.21/3.39 tff(304,plain,
% 3.21/3.39 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 3.21/3.39 inference(modus_ponens,[status(thm)],[303, 302])).
% 3.21/3.39 tff(305,plain,
% 3.21/3.39 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 3.21/3.39 inference(modus_ponens,[status(thm)],[304, 300])).
% 3.21/3.39 tff(306,plain,(
% 3.21/3.39 ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 3.21/3.39 inference(skolemize,[status(sab)],[305])).
% 3.21/3.39 tff(307,plain,
% 3.21/3.39 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 3.21/3.39 inference(modus_ponens,[status(thm)],[306, 299])).
% 3.21/3.39 tff(308,plain,
% 3.21/3.39 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 3.21/3.39 inference(modus_ponens,[status(thm)],[307, 297])).
% 3.21/3.39 tff(309,plain,
% 3.21/3.39 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.39 inference(rewrite,[status(thm)],[])).
% 3.21/3.39 tff(310,plain,
% 3.21/3.39 ((atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> (atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.39 inference(rewrite,[status(thm)],[])).
% 3.21/3.39 tff(311,plain,
% 3.21/3.39 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.39 inference(monotonicity,[status(thm)],[310])).
% 3.21/3.39 tff(312,plain,
% 3.21/3.39 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.39 inference(transitivity,[status(thm)],[311, 309])).
% 3.21/3.39 tff(313,plain,
% 3.21/3.39 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.39 inference(quant_inst,[status(thm)],[])).
% 3.21/3.39 tff(314,plain,
% 3.21/3.39 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.39 inference(modus_ponens,[status(thm)],[313, 312])).
% 3.21/3.39 tff(315,plain,
% 3.21/3.39 (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.40 inference(unit_resolution,[status(thm)],[314, 308, 253, 295, 293, 282])).
% 3.21/3.40 tff(316,plain,
% 3.21/3.40 (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) = tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.21/3.40 inference(symmetry,[status(thm)],[315])).
% 3.21/3.40 tff(317,plain,
% 3.21/3.40 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) <=> min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.21/3.40 inference(monotonicity,[status(thm)],[316, 169])).
% 3.21/3.40 tff(318,plain,
% 3.21/3.40 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) <=> min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.40 inference(symmetry,[status(thm)],[317])).
% 3.21/3.40 tff(319,plain,
% 3.21/3.40 ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X81, tptp_fun_X42_4(X111!15)))))))))))),
% 3.21/3.40 inference(quant_inst,[status(thm)],[])).
% 3.21/3.40 tff(320,plain,
% 3.21/3.40 (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X81, tptp_fun_X42_4(X111!15))))))))))),
% 3.21/3.40 inference(unit_resolution,[status(thm)],[319, 93])).
% 3.21/3.40 tff(321,plain,
% 3.21/3.40 (((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X81, tptp_fun_X42_4(X111!15)))))))))) | ((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X81, tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.40 inference(tautology,[status(thm)],[])).
% 3.21/3.40 tff(322,plain,
% 3.21/3.40 ((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X81, tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.40 inference(unit_resolution,[status(thm)],[321, 320])).
% 3.21/3.40 tff(323,plain,
% 3.21/3.40 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) <=> next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)),
% 3.21/3.40 inference(monotonicity,[status(thm)],[72])).
% 3.21/3.40 tff(324,plain,
% 3.21/3.40 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0) <=> next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.21/3.40 inference(symmetry,[status(thm)],[323])).
% 3.21/3.40 tff(325,plain,
% 3.21/3.40 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)),
% 3.21/3.40 inference(tautology,[status(thm)],[])).
% 3.21/3.40 tff(326,plain,
% 3.21/3.40 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)),
% 3.21/3.40 inference(unit_resolution,[status(thm)],[325, 202])).
% 3.21/3.40 tff(327,plain,
% 3.21/3.40 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.21/3.40 inference(modus_ponens,[status(thm)],[326, 324])).
% 3.21/3.40 tff(328,plain,
% 3.21/3.40 ((~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X81, tptp_fun_X42_4(X111!15))))))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X81, tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.40 inference(tautology,[status(thm)],[])).
% 3.21/3.40 tff(329,plain,
% 3.21/3.40 (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X81, tptp_fun_X42_4(X111!15))))))),
% 3.21/3.40 inference(unit_resolution,[status(thm)],[328, 327, 322])).
% 3.21/3.40 tff(330,plain,
% 3.21/3.40 (((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X81, tptp_fun_X42_4(X111!15)))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.21/3.40 inference(tautology,[status(thm)],[])).
% 3.21/3.40 tff(331,plain,
% 3.21/3.40 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.21/3.40 inference(unit_resolution,[status(thm)],[330, 329])).
% 3.21/3.40 tff(332,plain,
% 3.21/3.40 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.40 inference(modus_ponens,[status(thm)],[331, 318])).
% 3.21/3.40 tff(333,plain,
% 3.21/3.40 (^[X47: $i, X48: $i] : refl((~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))))),
% 3.21/3.40 inference(bind,[status(th)],[])).
% 3.21/3.40 tff(334,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> ![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 3.21/3.40 inference(quant_intro,[status(thm)],[333])).
% 3.21/3.40 tff(335,plain,
% 3.21/3.40 (^[X47: $i, X48: $i] : rewrite((~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))))),
% 3.21/3.40 inference(bind,[status(th)],[])).
% 3.21/3.40 tff(336,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> ![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 3.21/3.40 inference(quant_intro,[status(thm)],[335])).
% 3.21/3.40 tff(337,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> ![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 3.21/3.40 inference(transitivity,[status(thm)],[336, 334])).
% 3.21/3.40 tff(338,plain,
% 3.21/3.40 (^[X47: $i, X48: $i] : trans(monotonicity(rewrite(((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) <=> ((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))), trans(monotonicity(rewrite(((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) <=> (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))), ((leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)) <=> (leaf(X47, X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))), rewrite((leaf(X47, X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)) <=> (leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))), ((leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)) <=> (leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))), ((((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))) <=> (((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48)))))) & (leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))), rewrite((((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48)))))) & (leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))) <=> (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))), ((((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))) <=> (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))))),
% 3.21/3.40 inference(bind,[status(th)],[])).
% 3.21/3.40 tff(339,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))) <=> ![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 3.21/3.40 inference(quant_intro,[status(thm)],[338])).
% 3.21/3.40 tff(340,plain,
% 3.21/3.40 (^[X47: $i, X48: $i] : rewrite((((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | (((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))) <=> (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))))),
% 3.21/3.40 inference(bind,[status(th)],[])).
% 3.21/3.40 tff(341,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | (((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))) <=> ![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))),
% 3.21/3.40 inference(quant_intro,[status(thm)],[340])).
% 3.21/3.40 tff(342,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (leaf(X47, X48) <=> ((root(X47, X48) | ?[X49: $i] : min_precedes(X49, X47, X48)) & (~?[X50: $i] : min_precedes(X47, X50, X48)))) <=> ![X47: $i, X48: $i] : (leaf(X47, X48) <=> ((root(X47, X48) | ?[X49: $i] : min_precedes(X49, X47, X48)) & (~?[X50: $i] : min_precedes(X47, X50, X48))))),
% 3.21/3.40 inference(rewrite,[status(thm)],[])).
% 3.21/3.40 tff(343,axiom,(![X47: $i, X48: $i] : (leaf(X47, X48) <=> ((root(X47, X48) | ?[X49: $i] : min_precedes(X49, X47, X48)) & (~?[X50: $i] : min_precedes(X47, X50, X48))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_15')).
% 3.21/3.40 tff(344,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (leaf(X47, X48) <=> ((root(X47, X48) | ?[X49: $i] : min_precedes(X49, X47, X48)) & (~?[X50: $i] : min_precedes(X47, X50, X48))))),
% 3.21/3.40 inference(modus_ponens,[status(thm)],[343, 342])).
% 3.21/3.40 tff(345,plain,(
% 3.21/3.40 ![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | (((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))))),
% 3.21/3.40 inference(skolemize,[status(sab)],[344])).
% 3.21/3.40 tff(346,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))),
% 3.21/3.40 inference(modus_ponens,[status(thm)],[345, 341])).
% 3.21/3.40 tff(347,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 3.21/3.40 inference(modus_ponens,[status(thm)],[346, 339])).
% 3.21/3.40 tff(348,plain,
% 3.21/3.40 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 3.21/3.40 inference(modus_ponens,[status(thm)],[347, 337])).
% 3.21/3.40 tff(349,plain,
% 3.21/3.40 (((~![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))) | (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))) <=> ((~![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))) | (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))),
% 3.21/3.40 inference(rewrite,[status(thm)],[])).
% 3.21/3.40 tff(350,plain,
% 3.21/3.40 ((~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))) <=> (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))),
% 3.21/3.41 inference(rewrite,[status(thm)],[])).
% 3.21/3.41 tff(351,plain,
% 3.21/3.41 (((~![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))) | (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))) <=> ((~![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))) | (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))),
% 3.21/3.41 inference(monotonicity,[status(thm)],[350])).
% 3.21/3.41 tff(352,plain,
% 3.21/3.41 (((~![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))) | (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))) <=> ((~![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))) | (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))),
% 3.21/3.41 inference(transitivity,[status(thm)],[351, 349])).
% 3.21/3.41 tff(353,plain,
% 3.21/3.41 ((~![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))) | (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.21/3.41 inference(quant_inst,[status(thm)],[])).
% 3.21/3.41 tff(354,plain,
% 3.21/3.41 ((~![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))) | (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))),
% 3.21/3.41 inference(modus_ponens,[status(thm)],[353, 352])).
% 3.21/3.41 tff(355,plain,
% 3.21/3.41 (~((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))),
% 3.21/3.42 inference(unit_resolution,[status(thm)],[354, 348])).
% 3.21/3.42 tff(356,plain,
% 3.21/3.42 (((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~(leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X50_7(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~![X49: $i] : (~min_precedes(X49, tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | ((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))),
% 3.21/3.42 inference(tautology,[status(thm)],[])).
% 3.21/3.42 tff(357,plain,
% 3.21/3.42 ((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.42 inference(unit_resolution,[status(thm)],[356, 355])).
% 3.21/3.42 tff(358,plain,
% 3.21/3.42 (((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.42 inference(tautology,[status(thm)],[])).
% 3.21/3.42 tff(359,plain,
% 3.21/3.42 (leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.42 inference(unit_resolution,[status(thm)],[358, 2])).
% 3.21/3.42 tff(360,plain,
% 3.21/3.42 ((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.42 inference(tautology,[status(thm)],[])).
% 3.21/3.42 tff(361,plain,
% 3.21/3.42 ((~((~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.42 inference(unit_resolution,[status(thm)],[360, 359])).
% 3.21/3.42 tff(362,plain,
% 3.21/3.42 (~((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.42 inference(unit_resolution,[status(thm)],[361, 357])).
% 3.21/3.42 tff(363,plain,
% 3.21/3.42 (((~(root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | min_precedes(tptp_fun_X49_6(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) | ![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.42 inference(tautology,[status(thm)],[])).
% 3.21/3.42 tff(364,plain,
% 3.21/3.42 (![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.42 inference(unit_resolution,[status(thm)],[363, 362])).
% 3.21/3.42 tff(365,plain,
% 3.21/3.42 ((~![X50: $i] : (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X50, tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.42 inference(quant_inst,[status(thm)],[])).
% 3.21/3.42 tff(366,plain,
% 3.21/3.42 (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.42 inference(unit_resolution,[status(thm)],[365, 364])).
% 3.21/3.42 tff(367,plain,
% 3.21/3.42 ($false),
% 3.21/3.42 inference(unit_resolution,[status(thm)],[366, 332])).
% 3.21/3.42 tff(368,plain,((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))), inference(lemma,lemma(discharge,[]))).
% 3.21/3.42 tff(369,plain,
% 3.21/3.42 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.21/3.42 inference(rewrite,[status(thm)],[])).
% 3.21/3.42 tff(370,plain,
% 3.21/3.42 ((~((~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))))) <=> (~((~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))),
% 3.21/3.42 inference(rewrite,[status(thm)],[])).
% 3.21/3.42 tff(371,plain,
% 3.21/3.42 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.21/3.43 inference(monotonicity,[status(thm)],[370])).
% 3.21/3.43 tff(372,plain,
% 3.21/3.43 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.21/3.43 inference(transitivity,[status(thm)],[371, 369])).
% 3.21/3.43 tff(373,plain,
% 3.21/3.43 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57)))))))),
% 3.21/3.43 inference(quant_inst,[status(thm)],[])).
% 3.21/3.43 tff(374,plain,
% 3.21/3.43 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[373, 372])).
% 3.21/3.43 tff(375,plain,
% 3.21/3.43 (~((~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[374, 185])).
% 3.21/3.43 tff(376,plain,
% 3.21/3.43 (((~(leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X57))))) | (~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | ((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.43 inference(tautology,[status(thm)],[])).
% 3.21/3.43 tff(377,plain,
% 3.21/3.43 ((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[376, 375])).
% 3.21/3.43 tff(378,plain,
% 3.21/3.43 ((~((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.43 inference(tautology,[status(thm)],[])).
% 3.21/3.43 tff(379,plain,
% 3.21/3.43 ((~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[378, 377])).
% 3.21/3.43 tff(380,plain,
% 3.21/3.43 (~leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[379, 368])).
% 3.21/3.43 tff(381,plain,
% 3.21/3.43 (((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~root_occ(tptp_fun_X102_13(X111!15), X111!15)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0))) | occurrence_of(tptp_fun_X102_13(X111!15), tptp4)),
% 3.21/3.43 inference(tautology,[status(thm)],[])).
% 3.21/3.43 tff(382,plain,
% 3.21/3.43 (occurrence_of(tptp_fun_X102_13(X111!15), tptp4)),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[381, 114])).
% 3.21/3.43 tff(383,plain,
% 3.21/3.43 (((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~((~activity(tptp4)) | (~activity_occurrence(tptp_fun_X102_13(X111!15))))))) <=> ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~((~activity(tptp4)) | (~activity_occurrence(tptp_fun_X102_13(X111!15))))))),
% 3.21/3.43 inference(rewrite,[status(thm)],[])).
% 3.21/3.43 tff(384,plain,
% 3.21/3.43 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~((~activity(tptp4)) | (~activity_occurrence(tptp_fun_X102_13(X111!15))))))),
% 3.21/3.43 inference(quant_inst,[status(thm)],[])).
% 3.21/3.43 tff(385,plain,
% 3.21/3.43 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~((~activity(tptp4)) | (~activity_occurrence(tptp_fun_X102_13(X111!15)))))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[384, 383])).
% 3.21/3.43 tff(386,plain,
% 3.21/3.43 (~((~activity(tptp4)) | (~activity_occurrence(tptp_fun_X102_13(X111!15))))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[385, 26, 382])).
% 3.21/3.43 tff(387,plain,
% 3.21/3.43 (((~activity(tptp4)) | (~activity_occurrence(tptp_fun_X102_13(X111!15)))) | activity_occurrence(tptp_fun_X102_13(X111!15))),
% 3.21/3.43 inference(tautology,[status(thm)],[])).
% 3.21/3.43 tff(388,plain,
% 3.21/3.43 (activity_occurrence(tptp_fun_X102_13(X111!15))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[387, 386])).
% 3.21/3.43 tff(389,plain,
% 3.21/3.43 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X102_13(X111!15))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X102_13(X111!15))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))))),
% 3.21/3.43 inference(rewrite,[status(thm)],[])).
% 3.21/3.43 tff(390,plain,
% 3.21/3.43 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X102_13(X111!15))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))))),
% 3.21/3.43 inference(quant_inst,[status(thm)],[])).
% 3.21/3.43 tff(391,plain,
% 3.21/3.43 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X102_13(X111!15))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[390, 389])).
% 3.21/3.43 tff(392,plain,
% 3.21/3.43 (~((~activity(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[391, 45, 388])).
% 3.21/3.43 tff(393,plain,
% 3.21/3.43 (((~activity(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))) | occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.43 inference(tautology,[status(thm)],[])).
% 3.21/3.43 tff(394,plain,
% 3.21/3.43 (occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[393, 392])).
% 3.21/3.43 tff(395,plain,
% 3.21/3.43 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))),
% 3.21/3.43 inference(rewrite,[status(thm)],[])).
% 3.21/3.43 tff(396,plain,
% 3.21/3.43 (((tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))) <=> ((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))),
% 3.21/3.43 inference(rewrite,[status(thm)],[])).
% 3.21/3.43 tff(397,plain,
% 3.21/3.43 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))),
% 3.21/3.43 inference(monotonicity,[status(thm)],[396])).
% 3.21/3.43 tff(398,plain,
% 3.21/3.43 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))),
% 3.21/3.43 inference(transitivity,[status(thm)],[397, 395])).
% 3.21/3.43 tff(399,plain,
% 3.21/3.43 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))),
% 3.21/3.43 inference(quant_inst,[status(thm)],[])).
% 3.21/3.43 tff(400,plain,
% 3.21/3.43 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[399, 398])).
% 3.21/3.43 tff(401,plain,
% 3.21/3.43 (tptp4 = tptp_fun_X42_4(tptp_fun_X102_13(X111!15))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[400, 64, 382, 394])).
% 3.21/3.43 tff(402,plain,
% 3.21/3.43 (tptp_fun_X42_4(tptp_fun_X102_13(X111!15)) = tptp4),
% 3.21/3.43 inference(symmetry,[status(thm)],[401])).
% 3.21/3.43 tff(403,plain,
% 3.21/3.43 (occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(tptp_fun_X102_13(X111!15))) <=> occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)),
% 3.21/3.43 inference(monotonicity,[status(thm)],[402])).
% 3.21/3.43 tff(404,plain,
% 3.21/3.43 (occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4) <=> occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.43 inference(symmetry,[status(thm)],[403])).
% 3.21/3.43 tff(405,plain,
% 3.21/3.43 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))) | occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)),
% 3.21/3.43 inference(tautology,[status(thm)],[])).
% 3.21/3.43 tff(406,plain,
% 3.21/3.43 (occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[405, 202])).
% 3.21/3.43 tff(407,plain,
% 3.21/3.43 (occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[406, 404])).
% 3.21/3.43 tff(408,plain,
% 3.21/3.43 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))),
% 3.21/3.43 inference(rewrite,[status(thm)],[])).
% 3.21/3.43 tff(409,plain,
% 3.21/3.43 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))),
% 3.21/3.43 inference(quant_inst,[status(thm)],[])).
% 3.21/3.43 tff(410,plain,
% 3.21/3.43 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[409, 408])).
% 3.21/3.43 tff(411,plain,
% 3.21/3.43 ((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[410, 228])).
% 3.21/3.43 tff(412,plain,
% 3.21/3.43 (arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[411, 407])).
% 3.21/3.43 tff(413,plain,
% 3.21/3.43 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (arboreal(tptp_fun_X102_13(X111!15)) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (arboreal(tptp_fun_X102_13(X111!15)) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))),
% 3.21/3.43 inference(rewrite,[status(thm)],[])).
% 3.21/3.43 tff(414,plain,
% 3.21/3.43 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (arboreal(tptp_fun_X102_13(X111!15)) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))))),
% 3.21/3.43 inference(quant_inst,[status(thm)],[])).
% 3.21/3.43 tff(415,plain,
% 3.21/3.43 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X102_13(X111!15), tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))) | (arboreal(tptp_fun_X102_13(X111!15)) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[414, 413])).
% 3.21/3.43 tff(416,plain,
% 3.21/3.43 (arboreal(tptp_fun_X102_13(X111!15)) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.43 inference(unit_resolution,[status(thm)],[415, 228, 394])).
% 3.21/3.43 tff(417,plain,
% 3.21/3.43 (^[X75: $i, X76: $i, X77: $i] : refl(((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75))))) <=> ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75))))))),
% 3.21/3.43 inference(bind,[status(th)],[])).
% 3.21/3.43 tff(418,plain,
% 3.21/3.43 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75))))) <=> ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 3.21/3.43 inference(quant_intro,[status(thm)],[417])).
% 3.21/3.43 tff(419,plain,
% 3.21/3.43 (^[X75: $i, X76: $i, X77: $i] : rewrite(((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76))) <=> ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75))))))),
% 3.21/3.43 inference(bind,[status(th)],[])).
% 3.21/3.43 tff(420,plain,
% 3.21/3.43 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76))) <=> ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 3.21/3.43 inference(quant_intro,[status(thm)],[419])).
% 3.21/3.43 tff(421,plain,
% 3.21/3.43 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76))) <=> ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 3.21/3.43 inference(rewrite,[status(thm)],[])).
% 3.21/3.43 tff(422,plain,
% 3.21/3.43 (^[X75: $i, X76: $i, X77: $i] : rewrite((next_subocc(X75, X76, X77) => (arboreal(X75) & arboreal(X76))) <=> ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76))))),
% 3.21/3.43 inference(bind,[status(th)],[])).
% 3.21/3.43 tff(423,plain,
% 3.21/3.43 (![X75: $i, X76: $i, X77: $i] : (next_subocc(X75, X76, X77) => (arboreal(X75) & arboreal(X76))) <=> ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 3.21/3.43 inference(quant_intro,[status(thm)],[422])).
% 3.21/3.43 tff(424,axiom,(![X75: $i, X76: $i, X77: $i] : (next_subocc(X75, X76, X77) => (arboreal(X75) & arboreal(X76)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_25')).
% 3.21/3.43 tff(425,plain,
% 3.21/3.43 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[424, 423])).
% 3.21/3.43 tff(426,plain,
% 3.21/3.43 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[425, 421])).
% 3.21/3.43 tff(427,plain,(
% 3.21/3.43 ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 3.21/3.43 inference(skolemize,[status(sab)],[426])).
% 3.21/3.43 tff(428,plain,
% 3.21/3.43 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[427, 420])).
% 3.21/3.43 tff(429,plain,
% 3.21/3.43 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 3.21/3.43 inference(modus_ponens,[status(thm)],[428, 418])).
% 3.21/3.43 tff(430,plain,
% 3.21/3.43 (((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | ((~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~arboreal(tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X102_13(X111!15))))))) <=> ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~arboreal(tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X102_13(X111!15))))))),
% 3.21/3.44 inference(rewrite,[status(thm)],[])).
% 3.21/3.44 tff(431,plain,
% 3.21/3.44 ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | ((~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~arboreal(tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X102_13(X111!15))))))),
% 3.21/3.44 inference(quant_inst,[status(thm)],[])).
% 3.21/3.44 tff(432,plain,
% 3.21/3.44 ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)) | (~((~arboreal(tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X102_13(X111!15)))))),
% 3.21/3.44 inference(modus_ponens,[status(thm)],[431, 430])).
% 3.21/3.44 tff(433,plain,
% 3.21/3.44 (~((~arboreal(tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X102_13(X111!15))))),
% 3.21/3.44 inference(unit_resolution,[status(thm)],[432, 429, 116])).
% 3.21/3.44 tff(434,plain,
% 3.21/3.44 (((~arboreal(tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X102_13(X111!15)))) | arboreal(tptp_fun_X102_13(X111!15))),
% 3.21/3.44 inference(tautology,[status(thm)],[])).
% 3.21/3.44 tff(435,plain,
% 3.21/3.44 (arboreal(tptp_fun_X102_13(X111!15))),
% 3.21/3.44 inference(unit_resolution,[status(thm)],[434, 433])).
% 3.21/3.44 tff(436,plain,
% 3.21/3.44 ((~(arboreal(tptp_fun_X102_13(X111!15)) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))) | (~arboreal(tptp_fun_X102_13(X111!15))) | atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.44 inference(tautology,[status(thm)],[])).
% 3.21/3.44 tff(437,plain,
% 3.21/3.44 ((~(arboreal(tptp_fun_X102_13(X111!15)) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))) | atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.44 inference(unit_resolution,[status(thm)],[436, 435])).
% 3.21/3.44 tff(438,plain,
% 3.21/3.44 (atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15)))),
% 3.21/3.44 inference(unit_resolution,[status(thm)],[437, 416])).
% 3.21/3.44 tff(439,plain,
% 3.21/3.44 ((~(arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))) | arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))),
% 3.21/3.44 inference(tautology,[status(thm)],[])).
% 3.21/3.44 tff(440,plain,
% 3.21/3.44 ((~(arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) <=> atomic(tptp_fun_X42_4(tptp_fun_X102_13(X111!15))))) | arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.21/3.44 inference(unit_resolution,[status(thm)],[439, 438])).
% 3.21/3.44 tff(441,plain,
% 3.21/3.44 (arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.21/3.44 inference(unit_resolution,[status(thm)],[440, 412])).
% 3.21/3.44 tff(442,plain,
% 3.21/3.44 (^[X58: $i, X59: $i] : refl((~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))))),
% 3.21/3.44 inference(bind,[status(th)],[])).
% 3.21/3.44 tff(443,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> ![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 3.21/3.44 inference(quant_intro,[status(thm)],[442])).
% 3.21/3.44 tff(444,plain,
% 3.21/3.44 (^[X58: $i, X59: $i] : rewrite((~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))))),
% 3.21/3.44 inference(bind,[status(th)],[])).
% 3.21/3.44 tff(445,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> ![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 3.21/3.44 inference(quant_intro,[status(thm)],[444])).
% 3.21/3.44 tff(446,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> ![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 3.21/3.44 inference(transitivity,[status(thm)],[445, 443])).
% 3.21/3.44 tff(447,plain,
% 3.21/3.44 (^[X58: $i, X59: $i] : trans(monotonicity(rewrite(((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) <=> ((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))), rewrite((root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))) <=> (root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))), ((((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) & (root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))))) <=> (((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58)))))) & (root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))), rewrite((((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58)))))) & (root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))) <=> (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))), ((((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) & (root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))))) <=> (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))))),
% 3.21/3.44 inference(bind,[status(th)],[])).
% 3.21/3.44 tff(448,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) & (root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))))) <=> ![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 3.21/3.44 inference(quant_intro,[status(thm)],[447])).
% 3.21/3.44 tff(449,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))) <=> ![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 3.21/3.44 inference(rewrite,[status(thm)],[])).
% 3.21/3.44 tff(450,plain,
% 3.21/3.44 (^[X58: $i, X59: $i] : rewrite((root_occ(X58, X59) <=> ?[X60: $i] : ((occurrence_of(X59, X60) & subactivity_occurrence(X58, X59)) & root(X58, X60))) <=> (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))))),
% 3.21/3.44 inference(bind,[status(th)],[])).
% 3.21/3.44 tff(451,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : ((occurrence_of(X59, X60) & subactivity_occurrence(X58, X59)) & root(X58, X60))) <=> ![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 3.21/3.44 inference(quant_intro,[status(thm)],[450])).
% 3.21/3.44 tff(452,axiom,(![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : ((occurrence_of(X59, X60) & subactivity_occurrence(X58, X59)) & root(X58, X60)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_19')).
% 3.21/3.44 tff(453,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 3.21/3.44 inference(modus_ponens,[status(thm)],[452, 451])).
% 3.21/3.44 tff(454,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 3.21/3.44 inference(modus_ponens,[status(thm)],[453, 449])).
% 3.21/3.44 tff(455,plain,(
% 3.21/3.44 ![X58: $i, X59: $i] : (((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) & (root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))))),
% 3.21/3.44 inference(skolemize,[status(sab)],[454])).
% 3.21/3.44 tff(456,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 3.21/3.44 inference(modus_ponens,[status(thm)],[455, 448])).
% 3.21/3.44 tff(457,plain,
% 3.21/3.44 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 3.21/3.44 inference(modus_ponens,[status(thm)],[456, 446])).
% 3.21/3.44 tff(458,plain,
% 3.21/3.44 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.21/3.44 inference(rewrite,[status(thm)],[])).
% 3.21/3.44 tff(459,plain,
% 3.21/3.44 ((~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60))))))) <=> (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))),
% 3.21/3.44 inference(rewrite,[status(thm)],[])).
% 3.21/3.44 tff(460,plain,
% 3.21/3.44 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.21/3.44 inference(monotonicity,[status(thm)],[459])).
% 3.21/3.44 tff(461,plain,
% 3.21/3.44 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))))),
% 3.21/3.44 inference(transitivity,[status(thm)],[460, 458])).
% 3.21/3.44 tff(462,plain,
% 3.21/3.44 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60)))))))),
% 3.21/3.44 inference(quant_inst,[status(thm)],[])).
% 3.21/3.44 tff(463,plain,
% 3.21/3.44 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))))),
% 3.21/3.44 inference(modus_ponens,[status(thm)],[462, 461])).
% 3.21/3.44 tff(464,plain,
% 3.21/3.44 (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))))),
% 3.21/3.44 inference(unit_resolution,[status(thm)],[463, 457])).
% 3.21/3.44 tff(465,plain,
% 3.21/3.44 (((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) | ((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.44 inference(tautology,[status(thm)],[])).
% 3.21/3.44 tff(466,plain,
% 3.21/3.44 ((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[465, 464])).
% 3.21/3.45 tff(467,plain,
% 3.21/3.45 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))) | root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.21/3.45 inference(tautology,[status(thm)],[])).
% 3.21/3.45 tff(468,plain,
% 3.21/3.45 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[467, 202])).
% 3.21/3.45 tff(469,plain,
% 3.21/3.45 ((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.45 inference(tautology,[status(thm)],[])).
% 3.21/3.45 tff(470,plain,
% 3.21/3.45 ((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[469, 468])).
% 3.21/3.45 tff(471,plain,
% 3.21/3.45 (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[470, 466])).
% 3.21/3.45 tff(472,plain,
% 3.21/3.45 (((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.21/3.45 inference(tautology,[status(thm)],[])).
% 3.21/3.45 tff(473,plain,
% 3.21/3.45 (subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[472, 471])).
% 3.21/3.45 tff(474,plain,
% 3.21/3.45 (^[X108: $i, X109: $i] : refl((leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0))))) <=> (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0))))))),
% 3.21/3.45 inference(bind,[status(th)],[])).
% 3.21/3.45 tff(475,plain,
% 3.21/3.45 (![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0))))) <=> ![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))),
% 3.21/3.45 inference(quant_intro,[status(thm)],[474])).
% 3.21/3.45 tff(476,plain,
% 3.21/3.45 (^[X108: $i, X109: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109))) <=> (~(leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108))))), ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) <=> (~(~(leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108))))))), rewrite((~(~(leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108))))) <=> (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)))), ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) <=> (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108))))), rewrite((occurrence_of(tptp_fun_X110_14(X108), tptp1) & next_subocc(X108, tptp_fun_X110_14(X108), tptp0)) <=> (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0))))), (((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | (occurrence_of(tptp_fun_X110_14(X108), tptp1) & next_subocc(X108, tptp_fun_X110_14(X108), tptp0))) <=> ((leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108))) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0))))))), rewrite(((leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108))) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0))))) <=> (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))), (((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | (occurrence_of(tptp_fun_X110_14(X108), tptp1) & next_subocc(X108, tptp_fun_X110_14(X108), tptp0))) <=> (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))))),
% 3.21/3.45 inference(bind,[status(th)],[])).
% 3.21/3.45 tff(477,plain,
% 3.21/3.45 (![X108: $i, X109: $i] : ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | (occurrence_of(tptp_fun_X110_14(X108), tptp1) & next_subocc(X108, tptp_fun_X110_14(X108), tptp0))) <=> ![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))),
% 3.21/3.45 inference(quant_intro,[status(thm)],[476])).
% 3.21/3.45 tff(478,plain,
% 3.21/3.45 (![X108: $i, X109: $i] : ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0))) <=> ![X108: $i, X109: $i] : ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0)))),
% 3.21/3.45 inference(rewrite,[status(thm)],[])).
% 3.21/3.45 tff(479,plain,
% 3.21/3.45 (^[X108: $i, X109: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109)) & arboreal(X108)) <=> (occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108))), ((((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109)) & arboreal(X108)) & (~leaf_occ(X108, X109))) <=> ((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108)) & (~leaf_occ(X108, X109))))), rewrite(((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108)) & (~leaf_occ(X108, X109))) <=> (occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))), ((((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109)) & arboreal(X108)) & (~leaf_occ(X108, X109))) <=> (occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109))))), (((((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109)) & arboreal(X108)) & (~leaf_occ(X108, X109))) => ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0))) <=> ((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109))) => ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0))))), rewrite(((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109))) => ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0))) <=> ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0)))), (((((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109)) & arboreal(X108)) & (~leaf_occ(X108, X109))) => ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0))) <=> ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0)))))),
% 3.21/3.45 inference(bind,[status(th)],[])).
% 3.21/3.45 tff(480,plain,
% 3.21/3.45 (![X108: $i, X109: $i] : ((((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109)) & arboreal(X108)) & (~leaf_occ(X108, X109))) => ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0))) <=> ![X108: $i, X109: $i] : ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0)))),
% 3.21/3.45 inference(quant_intro,[status(thm)],[479])).
% 3.21/3.45 tff(481,axiom,(![X108: $i, X109: $i] : ((((occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109)) & arboreal(X108)) & (~leaf_occ(X108, X109))) => ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_47')).
% 3.21/3.45 tff(482,plain,
% 3.21/3.45 (![X108: $i, X109: $i] : ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0)))),
% 3.21/3.45 inference(modus_ponens,[status(thm)],[481, 480])).
% 3.21/3.45 tff(483,plain,
% 3.21/3.45 (![X108: $i, X109: $i] : ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | ?[X110: $i] : (occurrence_of(X110, tptp1) & next_subocc(X108, X110, tptp0)))),
% 3.21/3.45 inference(modus_ponens,[status(thm)],[482, 478])).
% 3.21/3.45 tff(484,plain,(
% 3.21/3.45 ![X108: $i, X109: $i] : ((~(occurrence_of(X109, tptp0) & subactivity_occurrence(X108, X109) & arboreal(X108) & (~leaf_occ(X108, X109)))) | (occurrence_of(tptp_fun_X110_14(X108), tptp1) & next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))),
% 3.21/3.45 inference(skolemize,[status(sab)],[483])).
% 3.21/3.45 tff(485,plain,
% 3.21/3.45 (![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))),
% 3.21/3.45 inference(modus_ponens,[status(thm)],[484, 477])).
% 3.21/3.45 tff(486,plain,
% 3.21/3.45 (![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))),
% 3.21/3.45 inference(modus_ponens,[status(thm)],[485, 475])).
% 3.21/3.45 tff(487,plain,
% 3.21/3.45 (((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)))))) <=> ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)))))),
% 3.21/3.45 inference(rewrite,[status(thm)],[])).
% 3.21/3.45 tff(488,plain,
% 3.21/3.45 ((leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)))))),
% 3.21/3.45 inference(rewrite,[status(thm)],[])).
% 3.21/3.45 tff(489,plain,
% 3.21/3.45 (((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)))))) <=> ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0))))))),
% 3.21/3.45 inference(monotonicity,[status(thm)],[488])).
% 3.21/3.45 tff(490,plain,
% 3.21/3.45 (((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)))))) <=> ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)))))),
% 3.21/3.45 inference(transitivity,[status(thm)],[489, 487])).
% 3.21/3.45 tff(491,plain,
% 3.21/3.45 ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)))))),
% 3.21/3.45 inference(quant_inst,[status(thm)],[])).
% 3.21/3.45 tff(492,plain,
% 3.21/3.45 ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0))))),
% 3.21/3.45 inference(modus_ponens,[status(thm)],[491, 490])).
% 3.21/3.45 tff(493,plain,
% 3.21/3.45 ((~arboreal(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0))))),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[492, 486, 197, 473])).
% 3.21/3.45 tff(494,plain,
% 3.21/3.45 (leaf_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0))))),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[493, 441])).
% 3.21/3.45 tff(495,plain,
% 3.21/3.45 (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0)))),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[494, 380])).
% 3.21/3.45 tff(496,plain,
% 3.21/3.45 (((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp0))) | occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)),
% 3.21/3.45 inference(tautology,[status(thm)],[])).
% 3.21/3.45 tff(497,plain,
% 3.21/3.45 (occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[496, 495])).
% 3.21/3.45 tff(498,plain,
% 3.21/3.45 (((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))) <=> ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.45 inference(rewrite,[status(thm)],[])).
% 3.21/3.45 tff(499,plain,
% 3.21/3.45 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.45 inference(quant_inst,[status(thm)],[])).
% 3.21/3.45 tff(500,plain,
% 3.21/3.45 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.45 inference(modus_ponens,[status(thm)],[499, 498])).
% 3.21/3.45 tff(501,plain,
% 3.21/3.45 (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.45 inference(unit_resolution,[status(thm)],[500, 26, 497])).
% 3.21/3.45 tff(502,plain,
% 3.21/3.45 (((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.45 inference(tautology,[status(thm)],[])).
% 3.21/3.45 tff(503,plain,
% 3.21/3.45 (activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[502, 501])).
% 3.21/3.46 tff(504,plain,
% 3.21/3.46 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))),
% 3.21/3.46 inference(rewrite,[status(thm)],[])).
% 3.21/3.46 tff(505,plain,
% 3.21/3.46 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))))),
% 3.21/3.46 inference(quant_inst,[status(thm)],[])).
% 3.21/3.46 tff(506,plain,
% 3.21/3.46 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.21/3.46 inference(modus_ponens,[status(thm)],[505, 504])).
% 3.21/3.46 tff(507,plain,
% 3.21/3.46 (~((~activity(tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[506, 45, 503])).
% 3.21/3.46 tff(508,plain,
% 3.21/3.46 (((~activity(tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) | occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.46 inference(tautology,[status(thm)],[])).
% 3.21/3.46 tff(509,plain,
% 3.21/3.46 (occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[508, 507])).
% 3.21/3.46 tff(510,plain,
% 3.21/3.46 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.46 inference(rewrite,[status(thm)],[])).
% 3.21/3.46 tff(511,plain,
% 3.21/3.46 (((tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.46 inference(rewrite,[status(thm)],[])).
% 3.21/3.46 tff(512,plain,
% 3.21/3.46 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.46 inference(monotonicity,[status(thm)],[511])).
% 3.21/3.46 tff(513,plain,
% 3.21/3.46 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.46 inference(transitivity,[status(thm)],[512, 510])).
% 3.21/3.46 tff(514,plain,
% 3.21/3.46 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.21/3.46 inference(quant_inst,[status(thm)],[])).
% 3.21/3.46 tff(515,plain,
% 3.21/3.46 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp1)) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.46 inference(modus_ponens,[status(thm)],[514, 513])).
% 3.21/3.46 tff(516,plain,
% 3.21/3.46 (tptp1 = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[515, 64, 497, 509])).
% 3.21/3.46 tff(517,plain,
% 3.21/3.46 (tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) = tptp1),
% 3.21/3.46 inference(symmetry,[status(thm)],[516])).
% 3.21/3.46 tff(518,plain,
% 3.21/3.46 (((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~root_occ(tptp_fun_X102_13(X111!15), X111!15)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0))) | occurrence_of(tptp_fun_X103_12(X111!15), tptp3)),
% 3.21/3.46 inference(tautology,[status(thm)],[])).
% 3.21/3.46 tff(519,plain,
% 3.21/3.46 (occurrence_of(tptp_fun_X103_12(X111!15), tptp3)),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[518, 114])).
% 3.21/3.46 tff(520,plain,
% 3.21/3.46 (((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X103_12(X111!15))))))) <=> ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X103_12(X111!15))))))),
% 3.21/3.46 inference(rewrite,[status(thm)],[])).
% 3.21/3.46 tff(521,plain,
% 3.21/3.46 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X103_12(X111!15))))))),
% 3.21/3.46 inference(quant_inst,[status(thm)],[])).
% 3.21/3.46 tff(522,plain,
% 3.21/3.46 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X103_12(X111!15)))))),
% 3.21/3.46 inference(modus_ponens,[status(thm)],[521, 520])).
% 3.21/3.46 tff(523,plain,
% 3.21/3.46 (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X103_12(X111!15))))),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[522, 26, 519])).
% 3.21/3.46 tff(524,plain,
% 3.21/3.46 (((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X103_12(X111!15)))) | activity_occurrence(tptp_fun_X103_12(X111!15))),
% 3.21/3.46 inference(tautology,[status(thm)],[])).
% 3.21/3.46 tff(525,plain,
% 3.21/3.46 (activity_occurrence(tptp_fun_X103_12(X111!15))),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[524, 523])).
% 3.21/3.46 tff(526,plain,
% 3.21/3.46 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X103_12(X111!15))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X103_12(X111!15))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))))),
% 3.21/3.46 inference(rewrite,[status(thm)],[])).
% 3.21/3.46 tff(527,plain,
% 3.21/3.46 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X103_12(X111!15))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))))),
% 3.21/3.46 inference(quant_inst,[status(thm)],[])).
% 3.21/3.46 tff(528,plain,
% 3.21/3.46 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X103_12(X111!15))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))))),
% 3.21/3.46 inference(modus_ponens,[status(thm)],[527, 526])).
% 3.21/3.46 tff(529,plain,
% 3.21/3.46 (~((~activity(tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[528, 45, 525])).
% 3.21/3.46 tff(530,plain,
% 3.21/3.46 (((~activity(tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))) | occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))),
% 3.21/3.46 inference(tautology,[status(thm)],[])).
% 3.21/3.46 tff(531,plain,
% 3.21/3.46 (occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[530, 529])).
% 3.21/3.46 tff(532,plain,
% 3.21/3.46 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))),
% 3.21/3.46 inference(rewrite,[status(thm)],[])).
% 3.21/3.46 tff(533,plain,
% 3.21/3.46 (((tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))) <=> ((~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))),
% 3.21/3.46 inference(rewrite,[status(thm)],[])).
% 3.21/3.46 tff(534,plain,
% 3.21/3.46 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))),
% 3.21/3.46 inference(monotonicity,[status(thm)],[533])).
% 3.21/3.46 tff(535,plain,
% 3.21/3.46 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))),
% 3.21/3.46 inference(transitivity,[status(thm)],[534, 532])).
% 3.21/3.46 tff(536,plain,
% 3.21/3.46 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))),
% 3.21/3.46 inference(quant_inst,[status(thm)],[])).
% 3.21/3.46 tff(537,plain,
% 3.21/3.46 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))),
% 3.21/3.46 inference(modus_ponens,[status(thm)],[536, 535])).
% 3.21/3.46 tff(538,plain,
% 3.21/3.46 (tptp3 = tptp_fun_X42_4(tptp_fun_X103_12(X111!15))),
% 3.21/3.46 inference(unit_resolution,[status(thm)],[537, 64, 519, 531])).
% 3.21/3.46 tff(539,plain,
% 3.21/3.46 (tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp3),
% 3.21/3.46 inference(symmetry,[status(thm)],[538])).
% 3.21/3.46 tff(540,plain,
% 3.21/3.46 ((tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> (tptp3 = tptp1)),
% 3.21/3.46 inference(monotonicity,[status(thm)],[539, 517])).
% 3.21/3.46 tff(541,plain,
% 3.21/3.46 ((tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> (tptp1 = tptp3)),
% 3.21/3.46 inference(transitivity,[status(thm)],[540, 1])).
% 3.21/3.46 tff(542,plain,
% 3.21/3.46 ((tptp1 = tptp3) <=> (tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.46 inference(symmetry,[status(thm)],[541])).
% 3.21/3.46 tff(543,plain,
% 3.21/3.46 ((~(tptp1 = tptp3)) <=> (~(tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.21/3.46 inference(monotonicity,[status(thm)],[542])).
% 3.21/3.46 tff(544,plain,
% 3.21/3.46 ((~(tptp1 = tptp3)) <=> (~(tptp1 = tptp3))),
% 3.21/3.46 inference(rewrite,[status(thm)],[])).
% 3.21/3.46 tff(545,axiom,(~(tptp1 = tptp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_42')).
% 3.21/3.46 tff(546,plain,
% 3.21/3.46 (~(tptp1 = tptp3)),
% 3.21/3.46 inference(modus_ponens,[status(thm)],[545, 544])).
% 3.21/3.46 tff(547,plain,
% 3.21/3.46 (~(tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.21/3.46 inference(modus_ponens,[status(thm)],[546, 543])).
% 3.21/3.46 tff(548,plain,
% 3.21/3.46 (occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.21/3.46 inference(monotonicity,[status(thm)],[71])).
% 3.21/3.46 tff(549,plain,
% 3.21/3.46 (occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)),
% 3.21/3.46 inference(symmetry,[status(thm)],[548])).
% 3.21/3.46 tff(550,plain,
% 3.21/3.46 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))))))),
% 3.31/3.46 inference(rewrite,[status(thm)],[])).
% 3.31/3.46 tff(551,plain,
% 3.31/3.46 ((~((~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))) | (~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57))))))) <=> (~((~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))))))))),
% 3.31/3.46 inference(rewrite,[status(thm)],[])).
% 3.31/3.46 tff(552,plain,
% 3.31/3.46 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))) | (~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))))))),
% 3.31/3.46 inference(monotonicity,[status(thm)],[551])).
% 3.31/3.46 tff(553,plain,
% 3.31/3.46 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))) | (~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))))))),
% 3.31/3.46 inference(transitivity,[status(thm)],[552, 550])).
% 3.31/3.46 tff(554,plain,
% 3.31/3.46 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))) | (~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57)))))))),
% 3.31/3.46 inference(quant_inst,[status(thm)],[])).
% 3.31/3.46 tff(555,plain,
% 3.31/3.46 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))))))))),
% 3.31/3.46 inference(modus_ponens,[status(thm)],[554, 553])).
% 3.31/3.46 tff(556,plain,
% 3.31/3.46 (~((~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))))),
% 3.31/3.46 inference(unit_resolution,[status(thm)],[555, 185])).
% 3.31/3.46 tff(557,plain,
% 3.31/3.46 (((~(leaf_occ(tptp_fun_X103_12(X111!15), X111!15) | ![X57: $i] : ((~occurrence_of(X111!15, X57)) | (~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), X57))))) | (~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))))))) | ((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))),
% 3.31/3.46 inference(tautology,[status(thm)],[])).
% 3.31/3.46 tff(558,plain,
% 3.31/3.46 ((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))))),
% 3.31/3.46 inference(unit_resolution,[status(thm)],[557, 556])).
% 3.31/3.46 tff(559,plain,
% 3.31/3.46 (((~occurrence_of(tptp_fun_X102_13(X111!15), tptp4)) | (~root_occ(tptp_fun_X102_13(X111!15), X111!15)) | (~occurrence_of(tptp_fun_X103_12(X111!15), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~next_subocc(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0))) | leaf_occ(tptp_fun_X103_12(X111!15), X111!15)),
% 3.31/3.46 inference(tautology,[status(thm)],[])).
% 3.31/3.46 tff(560,plain,
% 3.31/3.46 (leaf_occ(tptp_fun_X103_12(X111!15), X111!15)),
% 3.31/3.46 inference(unit_resolution,[status(thm)],[559, 114])).
% 3.31/3.46 tff(561,plain,
% 3.31/3.46 ((~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))) | (~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))))),
% 3.31/3.46 inference(tautology,[status(thm)],[])).
% 3.31/3.46 tff(562,plain,
% 3.31/3.46 ((~((~leaf_occ(tptp_fun_X103_12(X111!15), X111!15)) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))))) | (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))))),
% 3.31/3.46 inference(unit_resolution,[status(thm)],[561, 560])).
% 3.31/3.46 tff(563,plain,
% 3.31/3.46 (~((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))),
% 3.31/3.46 inference(unit_resolution,[status(thm)],[562, 558])).
% 3.31/3.46 tff(564,plain,
% 3.31/3.46 (((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))) | occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.46 inference(tautology,[status(thm)],[])).
% 3.31/3.46 tff(565,plain,
% 3.31/3.46 (occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.46 inference(unit_resolution,[status(thm)],[564, 563])).
% 3.31/3.46 tff(566,plain,
% 3.31/3.46 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15)))),
% 3.31/3.46 inference(rewrite,[status(thm)],[])).
% 3.31/3.46 tff(567,plain,
% 3.31/3.46 (((tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15)) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15)))) <=> ((~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15)))),
% 3.31/3.46 inference(rewrite,[status(thm)],[])).
% 3.31/3.46 tff(568,plain,
% 3.31/3.46 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15)) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15))))),
% 3.31/3.46 inference(monotonicity,[status(thm)],[567])).
% 3.31/3.46 tff(569,plain,
% 3.31/3.46 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15)) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15)))),
% 3.31/3.46 inference(transitivity,[status(thm)],[568, 566])).
% 3.31/3.46 tff(570,plain,
% 3.31/3.46 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15)) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))))),
% 3.31/3.46 inference(quant_inst,[status(thm)],[])).
% 3.31/3.46 tff(571,plain,
% 3.31/3.46 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X42_4(X111!15))) | (tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15))),
% 3.31/3.46 inference(modus_ponens,[status(thm)],[570, 569])).
% 3.31/3.46 tff(572,plain,
% 3.31/3.46 (tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(X111!15)),
% 3.31/3.46 inference(unit_resolution,[status(thm)],[571, 64, 565, 51])).
% 3.31/3.46 tff(573,plain,
% 3.31/3.46 (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))),
% 3.31/3.46 inference(symmetry,[status(thm)],[572])).
% 3.31/3.46 tff(574,plain,
% 3.31/3.46 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.46 inference(monotonicity,[status(thm)],[573])).
% 3.31/3.46 tff(575,plain,
% 3.31/3.46 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.31/3.46 inference(symmetry,[status(thm)],[574])).
% 3.31/3.46 tff(576,plain,
% 3.31/3.46 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (arboreal(X111!15) <=> atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (arboreal(X111!15) <=> atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))),
% 3.31/3.47 inference(rewrite,[status(thm)],[])).
% 3.31/3.47 tff(577,plain,
% 3.31/3.47 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (arboreal(X111!15) <=> atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))))),
% 3.31/3.47 inference(quant_inst,[status(thm)],[])).
% 3.31/3.47 tff(578,plain,
% 3.31/3.47 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (arboreal(X111!15) <=> atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[577, 576])).
% 3.31/3.47 tff(579,plain,
% 3.31/3.47 (arboreal(X111!15) <=> atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[578, 228, 565])).
% 3.31/3.47 tff(580,plain,
% 3.31/3.47 ((~(arboreal(X111!15) <=> atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))) | arboreal(X111!15) | (~atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))),
% 3.31/3.47 inference(tautology,[status(thm)],[])).
% 3.31/3.47 tff(581,plain,
% 3.31/3.47 ((~(arboreal(X111!15) <=> atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))) | (~atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[580, 250])).
% 3.31/3.47 tff(582,plain,
% 3.31/3.47 (~atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[581, 579])).
% 3.31/3.47 tff(583,plain,
% 3.31/3.47 (((~subactivity_occurrence(tptp_fun_X103_12(X111!15), X111!15)) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~occurrence_of(X111!15, tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))))) | leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(tautology,[status(thm)],[])).
% 3.31/3.47 tff(584,plain,
% 3.31/3.47 (leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[583, 563])).
% 3.31/3.47 tff(585,plain,
% 3.31/3.47 (((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | (atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))) <=> ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.31/3.47 inference(rewrite,[status(thm)],[])).
% 3.31/3.47 tff(586,plain,
% 3.31/3.47 ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | (atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.31/3.47 inference(quant_inst,[status(thm)],[])).
% 3.31/3.47 tff(587,plain,
% 3.31/3.47 ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))) | (~leaf(tptp_fun_X103_12(X111!15), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[586, 585])).
% 3.31/3.47 tff(588,plain,
% 3.31/3.47 (atomic(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[587, 274, 584])).
% 3.31/3.47 tff(589,plain,
% 3.31/3.47 (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[588, 582])).
% 3.31/3.47 tff(590,plain,
% 3.31/3.47 (((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(tautology,[status(thm)],[])).
% 3.31/3.47 tff(591,plain,
% 3.31/3.47 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[590, 589])).
% 3.31/3.47 tff(592,plain,
% 3.31/3.47 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[591, 575])).
% 3.31/3.47 tff(593,plain,
% 3.31/3.47 (tptp0 = tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))),
% 3.31/3.47 inference(transitivity,[status(thm)],[71, 573])).
% 3.31/3.47 tff(594,plain,
% 3.31/3.47 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(monotonicity,[status(thm)],[593])).
% 3.31/3.47 tff(595,plain,
% 3.31/3.47 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15))) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)),
% 3.31/3.47 inference(symmetry,[status(thm)],[594])).
% 3.31/3.47 tff(596,plain,
% 3.31/3.47 (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[591, 595])).
% 3.31/3.47 tff(597,plain,
% 3.31/3.47 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp0)))))),
% 3.31/3.47 inference(rewrite,[status(thm)],[])).
% 3.31/3.47 tff(598,plain,
% 3.31/3.47 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp0)))))),
% 3.31/3.47 inference(quant_inst,[status(thm)],[])).
% 3.31/3.47 tff(599,plain,
% 3.31/3.47 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp0))))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[598, 597])).
% 3.31/3.47 tff(600,plain,
% 3.31/3.47 ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp0))))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[599, 110])).
% 3.31/3.47 tff(601,plain,
% 3.31/3.47 (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp0)))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[600, 596])).
% 3.31/3.47 tff(602,plain,
% 3.31/3.47 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp0))) | leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(tautology,[status(thm)],[])).
% 3.31/3.47 tff(603,plain,
% 3.31/3.47 (leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[602, 601])).
% 3.31/3.47 tff(604,plain,
% 3.31/3.47 (((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(tautology,[status(thm)],[])).
% 3.31/3.47 tff(605,plain,
% 3.31/3.47 (leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[604, 589])).
% 3.31/3.47 tff(606,plain,
% 3.31/3.47 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.31/3.47 inference(rewrite,[status(thm)],[])).
% 3.31/3.47 tff(607,plain,
% 3.31/3.47 ((atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) <=> (atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.31/3.47 inference(rewrite,[status(thm)],[])).
% 3.31/3.47 tff(608,plain,
% 3.31/3.47 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.31/3.47 inference(monotonicity,[status(thm)],[607])).
% 3.31/3.47 tff(609,plain,
% 3.31/3.47 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.31/3.47 inference(transitivity,[status(thm)],[608, 606])).
% 3.31/3.47 tff(610,plain,
% 3.31/3.47 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.31/3.47 inference(quant_inst,[status(thm)],[])).
% 3.31/3.47 tff(611,plain,
% 3.31/3.47 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(X111!15), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[610, 609])).
% 3.31/3.47 tff(612,plain,
% 3.31/3.47 (tptp_fun_X103_12(X111!15) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[611, 308, 253, 605, 603, 592])).
% 3.31/3.47 tff(613,plain,
% 3.31/3.47 (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X103_12(X111!15)),
% 3.31/3.47 inference(symmetry,[status(thm)],[612])).
% 3.31/3.47 tff(614,assumption,(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), introduced(assumption)).
% 3.31/3.47 tff(615,plain,
% 3.31/3.47 (tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)) = tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.47 inference(symmetry,[status(thm)],[614])).
% 3.31/3.47 tff(616,plain,
% 3.31/3.47 (tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)) = tptp_fun_X103_12(X111!15)),
% 3.31/3.47 inference(transitivity,[status(thm)],[615, 613])).
% 3.31/3.47 tff(617,plain,
% 3.31/3.47 (root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)) <=> root(tptp_fun_X103_12(X111!15), tptp0)),
% 3.31/3.47 inference(monotonicity,[status(thm)],[616, 72])).
% 3.31/3.47 tff(618,plain,
% 3.31/3.47 (root(tptp_fun_X103_12(X111!15), tptp0) <=> root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.31/3.47 inference(symmetry,[status(thm)],[617])).
% 3.31/3.47 tff(619,plain,
% 3.31/3.47 ((~root(tptp_fun_X103_12(X111!15), tptp0)) <=> (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.31/3.47 inference(monotonicity,[status(thm)],[618])).
% 3.31/3.47 tff(620,plain,
% 3.31/3.47 (^[X65: $i, X66: $i, X67: $i] : refl(((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 3.31/3.47 inference(bind,[status(th)],[])).
% 3.31/3.47 tff(621,plain,
% 3.31/3.47 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.31/3.47 inference(quant_intro,[status(thm)],[620])).
% 3.31/3.47 tff(622,plain,
% 3.31/3.47 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.31/3.47 inference(rewrite,[status(thm)],[])).
% 3.31/3.47 tff(623,plain,
% 3.31/3.47 (^[X65: $i, X66: $i, X67: $i] : rewrite((min_precedes(X65, X66, X67) => (~root(X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 3.31/3.47 inference(bind,[status(th)],[])).
% 3.31/3.47 tff(624,plain,
% 3.31/3.47 (![X65: $i, X66: $i, X67: $i] : (min_precedes(X65, X66, X67) => (~root(X66, X67))) <=> ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.31/3.47 inference(quant_intro,[status(thm)],[623])).
% 3.31/3.47 tff(625,axiom,(![X65: $i, X66: $i, X67: $i] : (min_precedes(X65, X66, X67) => (~root(X66, X67)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_22')).
% 3.31/3.47 tff(626,plain,
% 3.31/3.47 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[625, 624])).
% 3.31/3.47 tff(627,plain,
% 3.31/3.47 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[626, 622])).
% 3.31/3.47 tff(628,plain,(
% 3.31/3.47 ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.31/3.47 inference(skolemize,[status(sab)],[627])).
% 3.31/3.47 tff(629,plain,
% 3.31/3.47 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[628, 621])).
% 3.31/3.47 tff(630,plain,
% 3.31/3.47 (((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)))) <=> ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)))),
% 3.31/3.47 inference(rewrite,[status(thm)],[])).
% 3.31/3.47 tff(631,plain,
% 3.31/3.47 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0)))),
% 3.31/3.47 inference(quant_inst,[status(thm)],[])).
% 3.31/3.47 tff(632,plain,
% 3.31/3.47 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X103_12(X111!15), tptp0)) | (~min_precedes(tptp_fun_X102_13(X111!15), tptp_fun_X103_12(X111!15), tptp0))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[631, 630])).
% 3.31/3.47 tff(633,plain,
% 3.31/3.47 (~root(tptp_fun_X103_12(X111!15), tptp0)),
% 3.31/3.47 inference(unit_resolution,[status(thm)],[632, 629, 121])).
% 3.31/3.47 tff(634,plain,
% 3.31/3.47 (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[633, 619])).
% 3.31/3.47 tff(635,plain,
% 3.31/3.47 (^[X0: $i, X1: $i] : refl((atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))) <=> (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))))),
% 3.31/3.47 inference(bind,[status(th)],[])).
% 3.31/3.47 tff(636,plain,
% 3.31/3.47 (![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))) <=> ![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 3.31/3.47 inference(quant_intro,[status(thm)],[635])).
% 3.31/3.47 tff(637,plain,
% 3.31/3.47 (^[X0: $i, X1: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X1, X0) & (~atomic(X0))) <=> (~(atomic(X0) | (~occurrence_of(X1, X0))))), ((~(occurrence_of(X1, X0) & (~atomic(X0)))) <=> (~(~(atomic(X0) | (~occurrence_of(X1, X0))))))), rewrite((~(~(atomic(X0) | (~occurrence_of(X1, X0))))) <=> (atomic(X0) | (~occurrence_of(X1, X0)))), ((~(occurrence_of(X1, X0) & (~atomic(X0)))) <=> (atomic(X0) | (~occurrence_of(X1, X0))))), rewrite((root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)) <=> (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))), (((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))) <=> ((atomic(X0) | (~occurrence_of(X1, X0))) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))))), rewrite(((atomic(X0) | (~occurrence_of(X1, X0))) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))) <=> (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))), (((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))) <=> (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))))),
% 3.31/3.47 inference(bind,[status(th)],[])).
% 3.31/3.47 tff(638,plain,
% 3.31/3.47 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))) <=> ![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 3.31/3.47 inference(quant_intro,[status(thm)],[637])).
% 3.31/3.47 tff(639,plain,
% 3.31/3.47 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))) <=> ![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 3.31/3.47 inference(rewrite,[status(thm)],[])).
% 3.31/3.47 tff(640,plain,
% 3.31/3.47 (^[X0: $i, X1: $i] : rewrite(((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))) <=> ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))))),
% 3.31/3.47 inference(bind,[status(th)],[])).
% 3.31/3.47 tff(641,plain,
% 3.31/3.47 (![X0: $i, X1: $i] : ((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))) <=> ![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 3.31/3.47 inference(quant_intro,[status(thm)],[640])).
% 3.31/3.47 tff(642,axiom,(![X0: $i, X1: $i] : ((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos')).
% 3.31/3.47 tff(643,plain,
% 3.31/3.47 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[642, 641])).
% 3.31/3.47 tff(644,plain,
% 3.31/3.47 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[643, 639])).
% 3.31/3.47 tff(645,plain,(
% 3.31/3.47 ![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))),
% 3.31/3.47 inference(skolemize,[status(sab)],[644])).
% 3.31/3.47 tff(646,plain,
% 3.31/3.47 (![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[645, 638])).
% 3.31/3.47 tff(647,plain,
% 3.31/3.47 (![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[646, 636])).
% 3.31/3.47 tff(648,plain,
% 3.31/3.47 (((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | (atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))) <=> ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.31/3.47 inference(rewrite,[status(thm)],[])).
% 3.31/3.47 tff(649,plain,
% 3.31/3.47 ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | (atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.31/3.47 inference(quant_inst,[status(thm)],[])).
% 3.31/3.47 tff(650,plain,
% 3.31/3.47 ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.31/3.47 inference(modus_ponens,[status(thm)],[649, 648])).
% 3.31/3.47 tff(651,plain,
% 3.31/3.47 ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[650, 647, 253])).
% 3.31/3.48 tff(652,plain,
% 3.31/3.48 (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[651, 592])).
% 3.31/3.48 tff(653,plain,
% 3.31/3.48 (((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.31/3.48 inference(tautology,[status(thm)],[])).
% 3.31/3.48 tff(654,plain,
% 3.31/3.48 (root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[653, 652])).
% 3.31/3.48 tff(655,plain,
% 3.31/3.48 ($false),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[654, 634])).
% 3.31/3.48 tff(656,plain,(~(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))), inference(lemma,lemma(discharge,[]))).
% 3.31/3.48 tff(657,assumption,(leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), introduced(assumption)).
% 3.31/3.48 tff(658,plain,
% 3.31/3.48 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(659,plain,
% 3.31/3.48 ((atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) <=> (atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(660,plain,
% 3.31/3.48 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.31/3.48 inference(monotonicity,[status(thm)],[659])).
% 3.31/3.48 tff(661,plain,
% 3.31/3.48 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.31/3.48 inference(transitivity,[status(thm)],[660, 658])).
% 3.31/3.48 tff(662,plain,
% 3.31/3.48 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.31/3.48 inference(quant_inst,[status(thm)],[])).
% 3.31/3.48 tff(663,plain,
% 3.31/3.48 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[662, 661])).
% 3.31/3.48 tff(664,plain,
% 3.31/3.48 ($false),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[663, 308, 253, 603, 592, 657, 656])).
% 3.31/3.48 tff(665,plain,(~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), inference(lemma,lemma(discharge,[]))).
% 3.31/3.48 tff(666,plain,
% 3.31/3.48 (^[X53: $i, X54: $i] : refl((legal(X53) | (~root(X53, X54))) <=> (legal(X53) | (~root(X53, X54))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(667,plain,
% 3.31/3.48 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[666])).
% 3.31/3.48 tff(668,plain,
% 3.31/3.48 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(669,plain,
% 3.31/3.48 (^[X53: $i, X54: $i] : rewrite((root(X53, X54) => legal(X53)) <=> (legal(X53) | (~root(X53, X54))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(670,plain,
% 3.31/3.48 (![X53: $i, X54: $i] : (root(X53, X54) => legal(X53)) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[669])).
% 3.31/3.48 tff(671,axiom,(![X53: $i, X54: $i] : (root(X53, X54) => legal(X53))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_17')).
% 3.31/3.48 tff(672,plain,
% 3.31/3.48 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[671, 670])).
% 3.31/3.48 tff(673,plain,
% 3.31/3.48 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[672, 668])).
% 3.31/3.48 tff(674,plain,(
% 3.31/3.48 ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.31/3.48 inference(skolemize,[status(sab)],[673])).
% 3.31/3.48 tff(675,plain,
% 3.31/3.48 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[674, 667])).
% 3.31/3.48 tff(676,plain,
% 3.31/3.48 (((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) <=> ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(677,plain,
% 3.31/3.48 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.31/3.48 inference(quant_inst,[status(thm)],[])).
% 3.31/3.48 tff(678,plain,
% 3.31/3.48 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[677, 676])).
% 3.31/3.48 tff(679,plain,
% 3.31/3.48 (legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[678, 675, 654])).
% 3.31/3.48 tff(680,plain,
% 3.31/3.48 (^[X43: $i] : refl((arboreal(X43) | (~legal(X43))) <=> (arboreal(X43) | (~legal(X43))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(681,plain,
% 3.31/3.48 (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[680])).
% 3.31/3.48 tff(682,plain,
% 3.31/3.48 (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(683,plain,
% 3.31/3.48 (^[X43: $i] : rewrite((legal(X43) => arboreal(X43)) <=> (arboreal(X43) | (~legal(X43))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(684,plain,
% 3.31/3.48 (![X43: $i] : (legal(X43) => arboreal(X43)) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[683])).
% 3.31/3.48 tff(685,axiom,(![X43: $i] : (legal(X43) => arboreal(X43))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 3.31/3.48 tff(686,plain,
% 3.31/3.48 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[685, 684])).
% 3.31/3.48 tff(687,plain,
% 3.31/3.48 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[686, 682])).
% 3.31/3.48 tff(688,plain,(
% 3.31/3.48 ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.31/3.48 inference(skolemize,[status(sab)],[687])).
% 3.31/3.48 tff(689,plain,
% 3.31/3.48 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[688, 681])).
% 3.31/3.48 tff(690,plain,
% 3.31/3.48 (((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(691,plain,
% 3.31/3.48 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.31/3.48 inference(quant_inst,[status(thm)],[])).
% 3.31/3.48 tff(692,plain,
% 3.31/3.48 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[691, 690])).
% 3.31/3.48 tff(693,plain,
% 3.31/3.48 (arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[692, 689, 679])).
% 3.31/3.48 tff(694,plain,
% 3.31/3.48 (((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.48 inference(tautology,[status(thm)],[])).
% 3.31/3.48 tff(695,plain,
% 3.31/3.48 (subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[694, 652])).
% 3.31/3.48 tff(696,plain,
% 3.31/3.48 (^[X106: $i, X107: $i] : refl((root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106))) <=> (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(697,plain,
% 3.31/3.48 (![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106))) <=> ![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[696])).
% 3.31/3.48 tff(698,plain,
% 3.31/3.48 (^[X106: $i, X107: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107))) <=> (~(leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106))))), ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) <=> (~(~(leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106))))))), rewrite((~(~(leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106))))) <=> (leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))), ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) <=> (leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106))))), (((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107)) <=> ((leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106))) | root_occ(X106, X107)))), rewrite(((leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106))) | root_occ(X106, X107)) <=> (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))), (((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107)) <=> (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(699,plain,
% 3.31/3.48 (![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107)) <=> ![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[698])).
% 3.31/3.48 tff(700,plain,
% 3.31/3.48 (![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107)) <=> ![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(701,plain,
% 3.31/3.48 (^[X106: $i, X107: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107)) & arboreal(X106)) <=> (occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106))), ((((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107)) & arboreal(X106)) & (~leaf_occ(X106, X107))) <=> ((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106)) & (~leaf_occ(X106, X107))))), rewrite(((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106)) & (~leaf_occ(X106, X107))) <=> (occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))), ((((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107)) & arboreal(X106)) & (~leaf_occ(X106, X107))) <=> (occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107))))), (((((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107)) & arboreal(X106)) & (~leaf_occ(X106, X107))) => root_occ(X106, X107)) <=> ((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107))) => root_occ(X106, X107)))), rewrite(((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107))) => root_occ(X106, X107)) <=> ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107))), (((((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107)) & arboreal(X106)) & (~leaf_occ(X106, X107))) => root_occ(X106, X107)) <=> ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(702,plain,
% 3.31/3.48 (![X106: $i, X107: $i] : ((((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107)) & arboreal(X106)) & (~leaf_occ(X106, X107))) => root_occ(X106, X107)) <=> ![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[701])).
% 3.31/3.48 tff(703,axiom,(![X106: $i, X107: $i] : ((((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107)) & arboreal(X106)) & (~leaf_occ(X106, X107))) => root_occ(X106, X107))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_46')).
% 3.31/3.48 tff(704,plain,
% 3.31/3.48 (![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[703, 702])).
% 3.31/3.48 tff(705,plain,
% 3.31/3.48 (![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[704, 700])).
% 3.31/3.48 tff(706,plain,(
% 3.31/3.48 ![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | root_occ(X106, X107))),
% 3.31/3.48 inference(skolemize,[status(sab)],[705])).
% 3.31/3.48 tff(707,plain,
% 3.31/3.48 (![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[706, 699])).
% 3.31/3.48 tff(708,plain,
% 3.31/3.48 (![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[707, 697])).
% 3.31/3.48 tff(709,plain,
% 3.31/3.48 (((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) <=> ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(710,plain,
% 3.31/3.48 ((root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) <=> ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(711,plain,
% 3.31/3.48 (((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.31/3.48 inference(monotonicity,[status(thm)],[710])).
% 3.31/3.48 tff(712,plain,
% 3.31/3.48 (((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))),
% 3.31/3.48 inference(transitivity,[status(thm)],[711, 709])).
% 3.31/3.48 tff(713,plain,
% 3.31/3.48 ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.31/3.48 inference(quant_inst,[status(thm)],[])).
% 3.31/3.48 tff(714,plain,
% 3.31/3.48 ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[713, 712])).
% 3.31/3.48 tff(715,plain,
% 3.31/3.48 (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[714, 708, 596, 695])).
% 3.31/3.48 tff(716,plain,
% 3.31/3.48 (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[715, 693])).
% 3.31/3.48 tff(717,plain,
% 3.31/3.48 (root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[716, 665])).
% 3.31/3.48 tff(718,plain,
% 3.31/3.48 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X103_12(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp0))) | root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.48 inference(tautology,[status(thm)],[])).
% 3.31/3.48 tff(719,plain,
% 3.31/3.48 (root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.48 inference(unit_resolution,[status(thm)],[718, 601])).
% 3.31/3.48 tff(720,plain,
% 3.31/3.48 (^[X90: $i, X91: $i, X92: $i, X93: $i] : refl(((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))) <=> ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(721,plain,
% 3.31/3.48 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))) <=> ![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[720])).
% 3.31/3.48 tff(722,plain,
% 3.31/3.48 (^[X90: $i, X91: $i, X92: $i, X93: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92)) <=> (~((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))), ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) <=> (~(~((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))))), rewrite((~(~((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))) <=> ((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))), ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) <=> ((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))), (((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91)) <=> (((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))) | (X90 = X91)))), rewrite((((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))) | (X90 = X91)) <=> ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))), (((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91)) <=> ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(723,plain,
% 3.31/3.48 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91)) <=> ![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[722])).
% 3.31/3.48 tff(724,plain,
% 3.31/3.48 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91)) <=> ![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 3.31/3.48 inference(rewrite,[status(thm)],[])).
% 3.31/3.48 tff(725,plain,
% 3.31/3.48 (^[X90: $i, X91: $i, X92: $i, X93: $i] : trans(monotonicity(rewrite(((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) <=> (occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))), ((((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) => (X90 = X91)) <=> ((occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92)) => (X90 = X91)))), rewrite(((occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92)) => (X90 = X91)) <=> ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))), ((((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) => (X90 = X91)) <=> ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))))),
% 3.31/3.48 inference(bind,[status(th)],[])).
% 3.31/3.48 tff(726,plain,
% 3.31/3.48 (![X90: $i, X91: $i, X92: $i, X93: $i] : (((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) => (X90 = X91)) <=> ![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 3.31/3.48 inference(quant_intro,[status(thm)],[725])).
% 3.31/3.48 tff(727,axiom,(![X90: $i, X91: $i, X92: $i, X93: $i] : (((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) => (X90 = X91))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_29')).
% 3.31/3.48 tff(728,plain,
% 3.31/3.48 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[727, 726])).
% 3.31/3.48 tff(729,plain,
% 3.31/3.48 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[728, 724])).
% 3.31/3.48 tff(730,plain,(
% 3.31/3.48 ![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 3.31/3.48 inference(skolemize,[status(sab)],[729])).
% 3.31/3.48 tff(731,plain,
% 3.31/3.48 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[730, 723])).
% 3.31/3.48 tff(732,plain,
% 3.31/3.48 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 3.31/3.48 inference(modus_ponens,[status(thm)],[731, 721])).
% 3.31/3.48 tff(733,plain,
% 3.31/3.48 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.31/3.49 inference(rewrite,[status(thm)],[])).
% 3.31/3.49 tff(734,plain,
% 3.31/3.49 (((tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) <=> ((~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.31/3.49 inference(rewrite,[status(thm)],[])).
% 3.31/3.49 tff(735,plain,
% 3.31/3.49 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.31/3.49 inference(monotonicity,[status(thm)],[734])).
% 3.31/3.49 tff(736,plain,
% 3.31/3.49 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.31/3.49 inference(transitivity,[status(thm)],[735, 733])).
% 3.31/3.49 tff(737,plain,
% 3.31/3.49 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.31/3.49 inference(quant_inst,[status(thm)],[])).
% 3.31/3.49 tff(738,plain,
% 3.31/3.49 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.31/3.49 inference(modus_ponens,[status(thm)],[737, 736])).
% 3.31/3.49 tff(739,plain,
% 3.31/3.49 (tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.31/3.49 inference(unit_resolution,[status(thm)],[738, 732, 719, 592, 717])).
% 3.31/3.49 tff(740,plain,
% 3.31/3.49 (tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)) = tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))),
% 3.31/3.49 inference(symmetry,[status(thm)],[739])).
% 3.31/3.49 tff(741,plain,
% 3.31/3.49 (tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))),
% 3.31/3.49 inference(monotonicity,[status(thm)],[740])).
% 3.31/3.49 tff(742,plain,
% 3.31/3.49 (tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) = tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.31/3.49 inference(symmetry,[status(thm)],[741])).
% 3.31/3.49 tff(743,plain,
% 3.31/3.49 (min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15)) <=> min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.31/3.49 inference(monotonicity,[status(thm)],[742])).
% 3.31/3.49 tff(744,plain,
% 3.31/3.49 (min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) <=> min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))),
% 3.31/3.49 inference(symmetry,[status(thm)],[743])).
% 3.31/3.49 tff(745,plain,
% 3.31/3.49 (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))))))))),
% 3.31/3.49 inference(rewrite,[status(thm)],[])).
% 3.31/3.49 tff(746,plain,
% 3.31/3.49 ((~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))))))))))) <=> (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)))))))))))),
% 3.31/3.49 inference(rewrite,[status(thm)],[])).
% 3.31/3.49 tff(747,plain,
% 3.31/3.49 (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))))))))),
% 3.31/3.49 inference(monotonicity,[status(thm)],[746])).
% 3.31/3.49 tff(748,plain,
% 3.31/3.49 (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))))))))),
% 3.31/3.49 inference(transitivity,[status(thm)],[747, 745])).
% 3.31/3.49 tff(749,plain,
% 3.31/3.49 ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15)))))))))))),
% 3.31/3.49 inference(quant_inst,[status(thm)],[])).
% 3.31/3.49 tff(750,plain,
% 3.31/3.49 ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)))))))))))),
% 3.31/3.50 inference(modus_ponens,[status(thm)],[749, 748])).
% 3.31/3.50 tff(751,plain,
% 3.31/3.50 (~((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[750, 93])).
% 3.34/3.50 tff(752,plain,
% 3.34/3.50 (((~(next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X111!15), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))) | (~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)))))))))) | ((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))))),
% 3.34/3.50 inference(tautology,[status(thm)],[])).
% 3.34/3.50 tff(753,plain,
% 3.34/3.50 ((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)))))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[752, 751])).
% 3.34/3.50 tff(754,plain,
% 3.34/3.50 (next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)) <=> next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)),
% 3.34/3.50 inference(monotonicity,[status(thm)],[72])).
% 3.34/3.50 tff(755,plain,
% 3.34/3.50 (next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0) <=> next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.34/3.50 inference(symmetry,[status(thm)],[754])).
% 3.34/3.50 tff(756,plain,
% 3.34/3.50 (((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))) <=> ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(757,plain,
% 3.34/3.50 ((leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))))) <=> ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(758,plain,
% 3.34/3.50 (((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))) <=> ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))))))),
% 3.34/3.50 inference(monotonicity,[status(thm)],[757])).
% 3.34/3.50 tff(759,plain,
% 3.34/3.50 (((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))) <=> ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))),
% 3.34/3.50 inference(transitivity,[status(thm)],[758, 756])).
% 3.34/3.50 tff(760,plain,
% 3.34/3.50 ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))),
% 3.34/3.50 inference(quant_inst,[status(thm)],[])).
% 3.34/3.50 tff(761,plain,
% 3.34/3.50 ((~![X108: $i, X109: $i] : (leaf_occ(X108, X109) | (~subactivity_occurrence(X108, X109)) | (~occurrence_of(X109, tptp0)) | (~arboreal(X108)) | (~((~occurrence_of(tptp_fun_X110_14(X108), tptp1)) | (~next_subocc(X108, tptp_fun_X110_14(X108), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))))),
% 3.34/3.50 inference(modus_ponens,[status(thm)],[760, 759])).
% 3.34/3.50 tff(762,plain,
% 3.34/3.50 (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[761, 486, 596, 695])).
% 3.34/3.50 tff(763,plain,
% 3.34/3.50 (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))) | (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[762, 693])).
% 3.34/3.50 tff(764,plain,
% 3.34/3.50 (~((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[763, 665])).
% 3.34/3.50 tff(765,plain,
% 3.34/3.50 (((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))) | next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)),
% 3.34/3.50 inference(tautology,[status(thm)],[])).
% 3.34/3.50 tff(766,plain,
% 3.34/3.50 (next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[765, 764])).
% 3.34/3.50 tff(767,plain,
% 3.34/3.50 (next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.34/3.50 inference(modus_ponens,[status(thm)],[766, 755])).
% 3.34/3.50 tff(768,plain,
% 3.34/3.50 ((~((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))))) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)))))))),
% 3.34/3.50 inference(tautology,[status(thm)],[])).
% 3.34/3.50 tff(769,plain,
% 3.34/3.50 (~((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))))))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[768, 767, 753])).
% 3.34/3.50 tff(770,plain,
% 3.34/3.50 (((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), X81, tptp_fun_X42_4(X111!15))) | (~min_precedes(X81, tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15)))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.34/3.50 inference(tautology,[status(thm)],[])).
% 3.34/3.50 tff(771,plain,
% 3.34/3.50 (min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))),
% 3.34/3.50 inference(unit_resolution,[status(thm)],[770, 769])).
% 3.34/3.50 tff(772,plain,
% 3.34/3.50 (min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))),
% 3.34/3.50 inference(modus_ponens,[status(thm)],[771, 744])).
% 3.34/3.50 tff(773,plain,
% 3.34/3.50 (((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(774,plain,
% 3.34/3.50 (((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.34/3.50 inference(rewrite,[status(thm)],[])).
% 3.34/3.50 tff(775,plain,
% 3.34/3.50 (((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.34/3.51 inference(monotonicity,[status(thm)],[774])).
% 3.34/3.51 tff(776,plain,
% 3.34/3.51 (((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.34/3.51 inference(transitivity,[status(thm)],[775, 773])).
% 3.34/3.51 tff(777,plain,
% 3.34/3.51 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.34/3.51 inference(quant_inst,[status(thm)],[])).
% 3.34/3.51 tff(778,plain,
% 3.34/3.51 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.34/3.51 inference(modus_ponens,[status(thm)],[777, 776])).
% 3.34/3.51 tff(779,plain,
% 3.34/3.51 (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[778, 154, 772])).
% 3.34/3.51 tff(780,plain,
% 3.34/3.51 (((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.34/3.51 inference(tautology,[status(thm)],[])).
% 3.34/3.51 tff(781,plain,
% 3.34/3.51 (occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))),
% 3.34/3.51 inference(unit_resolution,[status(thm)],[780, 779])).
% 3.34/3.51 tff(782,plain,
% 3.34/3.51 (occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)),
% 3.34/3.51 inference(modus_ponens,[status(thm)],[781, 549])).
% 3.34/3.51 tff(783,plain,
% 3.34/3.51 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(784,plain,
% 3.34/3.51 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.34/3.51 inference(rewrite,[status(thm)],[])).
% 3.34/3.51 tff(785,plain,
% 3.34/3.51 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.34/3.51 inference(monotonicity,[status(thm)],[784])).
% 3.34/3.51 tff(786,plain,
% 3.34/3.51 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.34/3.51 inference(transitivity,[status(thm)],[785, 783])).
% 3.34/3.51 tff(787,plain,
% 3.34/3.51 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)))))),
% 3.34/3.51 inference(quant_inst,[status(thm)],[])).
% 3.34/3.51 tff(788,plain,
% 3.34/3.51 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~occurrence_of(tptp_fun_X103_12(X101), tptp3)) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.34/3.52 inference(modus_ponens,[status(thm)],[787, 786])).
% 3.34/3.52 tff(789,plain,
% 3.34/3.52 ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[788, 110])).
% 3.34/3.52 tff(790,plain,
% 3.34/3.52 (~((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[789, 782])).
% 3.34/3.52 tff(791,plain,
% 3.34/3.52 (((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.34/3.52 inference(tautology,[status(thm)],[])).
% 3.34/3.52 tff(792,plain,
% 3.34/3.52 (leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.34/3.52 inference(unit_resolution,[status(thm)],[791, 790])).
% 3.34/3.52 tff(793,plain,
% 3.34/3.52 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))))),
% 3.34/3.52 inference(rewrite,[status(thm)],[])).
% 3.34/3.52 tff(794,plain,
% 3.34/3.52 ((~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57))))))) <=> (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.34/3.52 inference(rewrite,[status(thm)],[])).
% 3.34/3.52 tff(795,plain,
% 3.34/3.52 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))))),
% 3.34/3.52 inference(monotonicity,[status(thm)],[794])).
% 3.34/3.52 tff(796,plain,
% 3.34/3.52 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))))),
% 3.34/3.53 inference(transitivity,[status(thm)],[795, 793])).
% 3.34/3.53 tff(797,plain,
% 3.34/3.53 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)))))))),
% 3.34/3.53 inference(quant_inst,[status(thm)],[])).
% 3.34/3.53 tff(798,plain,
% 3.34/3.53 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.37/3.53 inference(modus_ponens,[status(thm)],[797, 796])).
% 3.37/3.53 tff(799,plain,
% 3.37/3.53 (~((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.53 inference(unit_resolution,[status(thm)],[798, 185])).
% 3.37/3.53 tff(800,plain,
% 3.37/3.53 (((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X57)) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X57)) | (~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))) | ((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.37/3.53 inference(tautology,[status(thm)],[])).
% 3.37/3.53 tff(801,plain,
% 3.37/3.53 ((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.53 inference(unit_resolution,[status(thm)],[800, 799])).
% 3.37/3.53 tff(802,plain,
% 3.37/3.53 ((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.54 inference(tautology,[status(thm)],[])).
% 3.37/3.54 tff(803,plain,
% 3.37/3.54 ((~((~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.54 inference(unit_resolution,[status(thm)],[802, 792])).
% 3.37/3.54 tff(804,plain,
% 3.37/3.54 (~((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.37/3.54 inference(unit_resolution,[status(thm)],[803, 801])).
% 3.37/3.54 tff(805,plain,
% 3.37/3.54 (((~subactivity_occurrence(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.54 inference(tautology,[status(thm)],[])).
% 3.37/3.54 tff(806,plain,
% 3.37/3.54 (occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.54 inference(unit_resolution,[status(thm)],[805, 804])).
% 3.37/3.54 tff(807,plain,
% 3.37/3.54 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.54 inference(rewrite,[status(thm)],[])).
% 3.37/3.54 tff(808,plain,
% 3.37/3.54 (((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.54 inference(rewrite,[status(thm)],[])).
% 3.37/3.54 tff(809,plain,
% 3.37/3.54 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.37/3.54 inference(monotonicity,[status(thm)],[808])).
% 3.37/3.54 tff(810,plain,
% 3.37/3.54 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.54 inference(transitivity,[status(thm)],[809, 807])).
% 3.37/3.54 tff(811,plain,
% 3.37/3.54 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.37/3.54 inference(quant_inst,[status(thm)],[])).
% 3.37/3.54 tff(812,plain,
% 3.37/3.54 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.54 inference(modus_ponens,[status(thm)],[811, 810])).
% 3.37/3.54 tff(813,plain,
% 3.37/3.54 (tptp_fun_X42_4(X111!15) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.37/3.54 inference(unit_resolution,[status(thm)],[812, 64, 781, 806])).
% 3.37/3.54 tff(814,plain,
% 3.37/3.54 (tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X42_4(X111!15)),
% 3.37/3.54 inference(symmetry,[status(thm)],[813])).
% 3.37/3.54 tff(815,plain,
% 3.37/3.54 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X60)))))))),
% 3.37/3.55 inference(quant_inst,[status(thm)],[])).
% 3.37/3.55 tff(816,plain,
% 3.37/3.55 (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X60))))))),
% 3.37/3.55 inference(unit_resolution,[status(thm)],[815, 457])).
% 3.37/3.55 tff(817,plain,
% 3.37/3.55 (((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), 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((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), X60)))))) | ((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.37/3.55 inference(tautology,[status(thm)],[])).
% 3.37/3.55 tff(818,plain,
% 3.37/3.55 ((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.55 inference(unit_resolution,[status(thm)],[817, 816])).
% 3.37/3.55 tff(819,plain,
% 3.37/3.55 (((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.37/3.55 inference(tautology,[status(thm)],[])).
% 3.37/3.55 tff(820,plain,
% 3.37/3.55 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.37/3.55 inference(unit_resolution,[status(thm)],[819, 790])).
% 3.37/3.55 tff(821,plain,
% 3.37/3.55 ((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.55 inference(tautology,[status(thm)],[])).
% 3.37/3.55 tff(822,plain,
% 3.37/3.55 ((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.55 inference(unit_resolution,[status(thm)],[821, 820])).
% 3.37/3.55 tff(823,plain,
% 3.37/3.55 (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.37/3.55 inference(unit_resolution,[status(thm)],[822, 818])).
% 3.37/3.55 tff(824,plain,
% 3.37/3.55 (((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.55 inference(tautology,[status(thm)],[])).
% 3.37/3.55 tff(825,plain,
% 3.37/3.55 (occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.55 inference(unit_resolution,[status(thm)],[824, 823])).
% 3.37/3.55 tff(826,plain,
% 3.37/3.55 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.56 inference(rewrite,[status(thm)],[])).
% 3.37/3.56 tff(827,plain,
% 3.37/3.56 (((tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.56 inference(rewrite,[status(thm)],[])).
% 3.37/3.56 tff(828,plain,
% 3.37/3.56 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.37/3.56 inference(monotonicity,[status(thm)],[827])).
% 3.37/3.56 tff(829,plain,
% 3.37/3.56 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.56 inference(transitivity,[status(thm)],[828, 826])).
% 3.37/3.56 tff(830,plain,
% 3.37/3.56 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.37/3.56 inference(quant_inst,[status(thm)],[])).
% 3.37/3.56 tff(831,plain,
% 3.37/3.56 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.56 inference(modus_ponens,[status(thm)],[830, 829])).
% 3.37/3.56 tff(832,plain,
% 3.37/3.56 (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.37/3.56 inference(unit_resolution,[status(thm)],[831, 64, 806, 825])).
% 3.37/3.56 tff(833,plain,
% 3.37/3.56 (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) = tptp_fun_X42_4(X111!15)),
% 3.37/3.56 inference(transitivity,[status(thm)],[832, 814])).
% 3.37/3.56 tff(834,assumption,(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))), introduced(assumption)).
% 3.37/3.56 tff(835,plain,
% 3.37/3.56 (root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) <=> root(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))),
% 3.37/3.56 inference(monotonicity,[status(thm)],[834, 833])).
% 3.37/3.56 tff(836,plain,
% 3.37/3.56 (root(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15)) <=> root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.56 inference(symmetry,[status(thm)],[835])).
% 3.37/3.56 tff(837,plain,
% 3.37/3.56 ((~root(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) <=> (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.56 inference(monotonicity,[status(thm)],[836])).
% 3.37/3.56 tff(838,plain,
% 3.37/3.56 (((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))))) <=> ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))))),
% 3.37/3.56 inference(rewrite,[status(thm)],[])).
% 3.37/3.56 tff(839,plain,
% 3.37/3.56 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))))),
% 3.37/3.56 inference(quant_inst,[status(thm)],[])).
% 3.37/3.56 tff(840,plain,
% 3.37/3.56 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15)))),
% 3.37/3.56 inference(modus_ponens,[status(thm)],[839, 838])).
% 3.37/3.56 tff(841,plain,
% 3.37/3.56 (~root(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(X111!15))),
% 3.37/3.56 inference(unit_resolution,[status(thm)],[840, 629, 772])).
% 3.37/3.56 tff(842,plain,
% 3.37/3.56 (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.56 inference(modus_ponens,[status(thm)],[841, 837])).
% 3.37/3.56 tff(843,plain,
% 3.37/3.56 (((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.57 inference(tautology,[status(thm)],[])).
% 3.37/3.57 tff(844,plain,
% 3.37/3.57 (root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.57 inference(unit_resolution,[status(thm)],[843, 823])).
% 3.37/3.57 tff(845,plain,
% 3.37/3.57 ($false),
% 3.37/3.57 inference(unit_resolution,[status(thm)],[844, 842])).
% 3.37/3.57 tff(846,plain,(~(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))), inference(lemma,lemma(discharge,[]))).
% 3.37/3.57 tff(847,assumption,(root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))), introduced(assumption)).
% 3.37/3.57 tff(848,plain,
% 3.37/3.57 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.37/3.57 inference(rewrite,[status(thm)],[])).
% 3.37/3.57 tff(849,plain,
% 3.37/3.57 (((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.37/3.57 inference(rewrite,[status(thm)],[])).
% 3.37/3.57 tff(850,plain,
% 3.37/3.57 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.37/3.57 inference(monotonicity,[status(thm)],[849])).
% 3.37/3.57 tff(851,plain,
% 3.37/3.57 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.37/3.57 inference(transitivity,[status(thm)],[850, 848])).
% 3.37/3.57 tff(852,plain,
% 3.37/3.57 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.57 inference(quant_inst,[status(thm)],[])).
% 3.37/3.57 tff(853,plain,
% 3.37/3.57 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.37/3.57 inference(modus_ponens,[status(thm)],[852, 851])).
% 3.37/3.57 tff(854,plain,
% 3.37/3.57 ($false),
% 3.37/3.57 inference(unit_resolution,[status(thm)],[853, 732, 781, 847, 820, 846])).
% 3.37/3.57 tff(855,plain,(~root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))), inference(lemma,lemma(discharge,[]))).
% 3.37/3.57 tff(856,plain,
% 3.37/3.57 (((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.37/3.57 inference(tautology,[status(thm)],[])).
% 3.37/3.57 tff(857,plain,
% 3.37/3.57 (subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.37/3.57 inference(unit_resolution,[status(thm)],[856, 779])).
% 3.37/3.57 tff(858,plain,
% 3.37/3.57 (arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) <=> arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.37/3.57 inference(monotonicity,[status(thm)],[742])).
% 3.37/3.57 tff(859,plain,
% 3.37/3.57 (arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) <=> arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.37/3.57 inference(symmetry,[status(thm)],[858])).
% 3.37/3.57 tff(860,plain,
% 3.37/3.57 (((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | ((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))) <=> ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.57 inference(rewrite,[status(thm)],[])).
% 3.37/3.57 tff(861,plain,
% 3.37/3.57 (((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) <=> ((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.57 inference(rewrite,[status(thm)],[])).
% 3.37/3.57 tff(862,plain,
% 3.37/3.57 (((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | ((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | ((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))))),
% 3.37/3.57 inference(monotonicity,[status(thm)],[861])).
% 3.37/3.57 tff(863,plain,
% 3.37/3.57 (((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | ((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.57 inference(transitivity,[status(thm)],[862, 860])).
% 3.37/3.57 tff(864,plain,
% 3.37/3.57 ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | ((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.37/3.57 inference(quant_inst,[status(thm)],[])).
% 3.37/3.57 tff(865,plain,
% 3.37/3.57 ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.37/3.57 inference(modus_ponens,[status(thm)],[864, 863])).
% 3.37/3.57 tff(866,plain,
% 3.37/3.57 ((~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X42_4(X111!15))) | (~((~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))),
% 3.37/3.57 inference(unit_resolution,[status(thm)],[865, 429])).
% 3.37/3.57 tff(867,plain,
% 3.37/3.57 (~((~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.57 inference(unit_resolution,[status(thm)],[866, 767])).
% 3.37/3.57 tff(868,plain,
% 3.37/3.57 (((~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.37/3.57 inference(tautology,[status(thm)],[])).
% 3.37/3.57 tff(869,plain,
% 3.37/3.57 (arboreal(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))),
% 3.37/3.57 inference(unit_resolution,[status(thm)],[868, 867])).
% 3.37/3.57 tff(870,plain,
% 3.37/3.57 (arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.37/3.57 inference(modus_ponens,[status(thm)],[869, 859])).
% 3.37/3.57 tff(871,plain,
% 3.37/3.57 (((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | ((~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))) <=> ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.37/3.57 inference(rewrite,[status(thm)],[])).
% 3.37/3.57 tff(872,plain,
% 3.37/3.57 ((root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))) <=> ((~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.37/3.57 inference(rewrite,[status(thm)],[])).
% 3.37/3.57 tff(873,plain,
% 3.37/3.57 (((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))) <=> ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | ((~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))))),
% 3.37/3.58 inference(monotonicity,[status(thm)],[872])).
% 3.37/3.58 tff(874,plain,
% 3.37/3.58 (((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))) <=> ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.37/3.58 inference(transitivity,[status(thm)],[873, 871])).
% 3.37/3.58 tff(875,plain,
% 3.37/3.58 ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.37/3.58 inference(quant_inst,[status(thm)],[])).
% 3.37/3.58 tff(876,plain,
% 3.37/3.58 ((~![X106: $i, X107: $i] : (root_occ(X106, X107) | leaf_occ(X106, X107) | (~subactivity_occurrence(X106, X107)) | (~occurrence_of(X107, tptp0)) | (~arboreal(X106)))) | (~subactivity_occurrence(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~arboreal(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.37/3.58 inference(modus_ponens,[status(thm)],[875, 874])).
% 3.37/3.58 tff(877,plain,
% 3.37/3.58 (leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp0)) | root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.37/3.58 inference(unit_resolution,[status(thm)],[876, 708, 870, 857])).
% 3.37/3.58 tff(878,plain,
% 3.37/3.58 (leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | root_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.37/3.58 inference(unit_resolution,[status(thm)],[877, 782])).
% 3.37/3.58 tff(879,plain,
% 3.37/3.58 (leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.37/3.58 inference(unit_resolution,[status(thm)],[878, 855])).
% 3.37/3.58 tff(880,plain,
% 3.37/3.58 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.37/3.58 inference(rewrite,[status(thm)],[])).
% 3.37/3.58 tff(881,plain,
% 3.37/3.58 ((atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) <=> (atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.37/3.58 inference(rewrite,[status(thm)],[])).
% 3.37/3.58 tff(882,plain,
% 3.37/3.58 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))))),
% 3.37/3.58 inference(monotonicity,[status(thm)],[881])).
% 3.37/3.58 tff(883,plain,
% 3.37/3.58 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))))),
% 3.37/3.58 inference(transitivity,[status(thm)],[882, 880])).
% 3.37/3.58 tff(884,plain,
% 3.37/3.58 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X111!15)) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))))),
% 3.37/3.58 inference(quant_inst,[status(thm)],[])).
% 3.37/3.58 tff(885,plain,
% 3.37/3.58 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X111!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) | (~leaf_occ(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))))),
% 3.37/3.58 inference(modus_ponens,[status(thm)],[884, 883])).
% 3.37/3.58 tff(886,plain,
% 3.37/3.58 (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))) = tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15))))),
% 3.37/3.58 inference(unit_resolution,[status(thm)],[885, 308, 253, 781, 879, 792])).
% 3.37/3.58 tff(887,plain,
% 3.37/3.58 (tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))) = tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))),
% 3.37/3.58 inference(symmetry,[status(thm)],[886])).
% 3.37/3.58 tff(888,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15))) <=> occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)),
% 3.37/3.58 inference(monotonicity,[status(thm)],[887, 539])).
% 3.37/3.58 tff(889,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3) <=> occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))),
% 3.37/3.58 inference(symmetry,[status(thm)],[888])).
% 3.37/3.58 tff(890,plain,
% 3.37/3.58 (((~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))))) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)),
% 3.37/3.58 inference(tautology,[status(thm)],[])).
% 3.37/3.58 tff(891,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X42_4(X111!15))), tptp3)),
% 3.37/3.58 inference(unit_resolution,[status(thm)],[890, 790])).
% 3.37/3.58 tff(892,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))),
% 3.37/3.58 inference(modus_ponens,[status(thm)],[891, 889])).
% 3.37/3.58 tff(893,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) <=> occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp1)),
% 3.37/3.58 inference(monotonicity,[status(thm)],[517])).
% 3.37/3.58 tff(894,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp1) <=> occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.58 inference(symmetry,[status(thm)],[893])).
% 3.37/3.58 tff(895,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1) <=> occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp1)),
% 3.37/3.58 inference(monotonicity,[status(thm)],[741])).
% 3.37/3.58 tff(896,plain,
% 3.37/3.58 (((~occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)), tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp0))) | occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)),
% 3.37/3.58 inference(tautology,[status(thm)],[])).
% 3.37/3.58 tff(897,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X110_14(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))), tptp1)),
% 3.37/3.58 inference(unit_resolution,[status(thm)],[896, 764])).
% 3.37/3.58 tff(898,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp1)),
% 3.37/3.58 inference(modus_ponens,[status(thm)],[897, 895])).
% 3.37/3.58 tff(899,plain,
% 3.37/3.58 (occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))),
% 3.37/3.58 inference(modus_ponens,[status(thm)],[898, 894])).
% 3.37/3.58 tff(900,plain,
% 3.37/3.58 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))),
% 3.37/3.59 inference(rewrite,[status(thm)],[])).
% 3.37/3.59 tff(901,plain,
% 3.37/3.59 (((tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))))) <=> ((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))),
% 3.37/3.59 inference(rewrite,[status(thm)],[])).
% 3.37/3.59 tff(902,plain,
% 3.37/3.59 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))))),
% 3.37/3.59 inference(monotonicity,[status(thm)],[901])).
% 3.37/3.59 tff(903,plain,
% 3.37/3.59 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))))),
% 3.37/3.59 inference(transitivity,[status(thm)],[902, 900])).
% 3.37/3.59 tff(904,plain,
% 3.37/3.59 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))))),
% 3.37/3.59 inference(quant_inst,[status(thm)],[])).
% 3.37/3.59 tff(905,plain,
% 3.37/3.59 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15))))))) | (tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))),
% 3.37/3.59 inference(modus_ponens,[status(thm)],[904, 903])).
% 3.37/3.59 tff(906,plain,
% 3.37/3.59 ((tptp_fun_X42_4(tptp_fun_X103_12(X111!15)) = tptp_fun_X42_4(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X103_12(X111!15), tptp_fun_X71_10(tptp0, tptp_fun_X103_12(X111!15)), tptp_fun_X42_4(X111!15)))))) | (~occurrence_of(tptp_fun_X110_14(tptp_fun_X102_13(tptp_fun_X27_3(tptp_fun_X57_8(X111!15, tptp_fun_X103_12(X111!15)), tptp_fun_X103_12(X111!15)))), tptp_fun_X42_4(tptp_fun_X103_12(X111!15))))),
% 3.37/3.59 inference(unit_resolution,[status(thm)],[905, 64, 899])).
% 3.37/3.59 tff(907,plain,
% 3.37/3.59 ($false),
% 3.37/3.59 inference(unit_resolution,[status(thm)],[906, 892, 547])).
% 3.37/3.59 % SZS output end Proof
% 3.37/3.59 % E exiting
%------------------------------------------------------------------------------