%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PRO002+4 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 05:23:00 AM UTC 2025
% Result : Theorem 12.53s 12.73s
% Output : Proof 12.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : PRO002+4 : TPTP v9.0.0. Released v4.0.0.
% 0.01/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n003.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 02:28:24 EDT 2025
% 0.12/0.34 % CPUTime :
% 12.53/12.73 % SZS status Theorem
% 12.53/12.73 % SZS output start Proof
% 12.53/12.73 tff(tptp3_type, type, (
% 12.53/12.73 tptp3: $i)).
% 12.53/12.73 tff(tptp_fun_X127_17_type, type, (
% 12.53/12.73 tptp_fun_X127_17: ( $i * $i * $i ) > $i)).
% 12.53/12.73 tff(tptp0_type, type, (
% 12.53/12.73 tptp0: $i)).
% 12.53/12.73 tff(tptp_fun_X134_19_type, type, (
% 12.53/12.73 tptp_fun_X134_19: $i)).
% 12.53/12.73 tff(tptp_fun_X135_18_type, type, (
% 12.53/12.73 tptp_fun_X135_18: $i)).
% 12.53/12.73 tff(tptp_fun_X42_4_type, type, (
% 12.53/12.73 tptp_fun_X42_4: $i > $i)).
% 12.53/12.73 tff(tptp_fun_X130_14_type, type, (
% 12.53/12.73 tptp_fun_X130_14: ( $i * $i * $i ) > $i)).
% 12.53/12.73 tff(occurrence_of_type, type, (
% 12.53/12.73 occurrence_of: ( $i * $i ) > $o)).
% 12.53/12.73 tff(tptp_fun_X2_0_type, type, (
% 12.53/12.73 tptp_fun_X2_0: ( $i * $i ) > $i)).
% 12.53/12.73 tff(root_occ_type, type, (
% 12.53/12.73 root_occ: ( $i * $i ) > $o)).
% 12.53/12.73 tff(root_type, type, (
% 12.53/12.73 root: ( $i * $i ) > $o)).
% 12.53/12.73 tff(subactivity_occurrence_type, type, (
% 12.53/12.73 subactivity_occurrence: ( $i * $i ) > $o)).
% 12.53/12.73 tff(atomic_type, type, (
% 12.53/12.73 atomic: $i > $o)).
% 12.53/12.73 tff(arboreal_type, type, (
% 12.53/12.73 arboreal: $i > $o)).
% 12.53/12.73 tff(activity_type, type, (
% 12.53/12.73 activity: $i > $o)).
% 12.53/12.73 tff(activity_occurrence_type, type, (
% 12.53/12.73 activity_occurrence: $i > $o)).
% 12.53/12.73 tff(tptp_fun_X133_20_type, type, (
% 12.53/12.73 tptp_fun_X133_20: $i)).
% 12.53/12.73 tff(tptp1_type, type, (
% 12.53/12.73 tptp1: ( $i * $i * $i ) > $o)).
% 12.53/12.73 tff(tptp_fun_X60_9_type, type, (
% 12.53/12.73 tptp_fun_X60_9: ( $i * $i ) > $i)).
% 12.53/12.73 tff(send_message_type, type, (
% 12.53/12.73 send_message: ( $i * $i * $i * $i * $i ) > $o)).
% 12.53/12.73 tff(tptp_fun_X129_15_type, type, (
% 12.53/12.73 tptp_fun_X129_15: ( $i * $i * $i ) > $i)).
% 12.53/12.73 tff(tptp_fun_X128_16_type, type, (
% 12.53/12.73 tptp_fun_X128_16: ( $i * $i * $i ) > $i)).
% 12.53/12.73 tff(tptp_fun_X103_12_type, type, (
% 12.53/12.73 tptp_fun_X103_12: $i > $i)).
% 12.53/12.73 tff(tptp_fun_X24_2_type, type, (
% 12.53/12.73 tptp_fun_X24_2: ( $i * $i * $i ) > $i)).
% 12.53/12.73 tff(tptp_fun_X50_7_type, type, (
% 12.53/12.73 tptp_fun_X50_7: ( $i * $i ) > $i)).
% 12.53/12.73 tff(tptp2_type, type, (
% 12.53/12.73 tptp2: $i)).
% 12.53/12.73 tff(min_precedes_type, type, (
% 12.53/12.73 min_precedes: ( $i * $i * $i ) > $o)).
% 12.53/12.73 tff(tptp_fun_X102_13_type, type, (
% 12.53/12.73 tptp_fun_X102_13: $i > $i)).
% 12.53/12.73 tff(tptp_fun_X71_10_type, type, (
% 12.53/12.73 tptp_fun_X71_10: ( $i * $i ) > $i)).
% 12.53/12.73 tff(leaf_type, type, (
% 12.53/12.73 leaf: ( $i * $i ) > $o)).
% 12.53/12.73 tff(leaf_occ_type, type, (
% 12.53/12.73 leaf_occ: ( $i * $i ) > $o)).
% 12.53/12.73 tff(tptp_fun_X27_3_type, type, (
% 12.53/12.73 tptp_fun_X27_3: ( $i * $i ) > $i)).
% 12.53/12.73 tff(tptp_fun_X57_8_type, type, (
% 12.53/12.73 tptp_fun_X57_8: ( $i * $i ) > $i)).
% 12.53/12.73 tff(next_subocc_type, type, (
% 12.53/12.73 next_subocc: ( $i * $i * $i ) > $o)).
% 12.53/12.73 tff(tptp_fun_X81_11_type, type, (
% 12.53/12.73 tptp_fun_X81_11: ( $i * $i * $i ) > $i)).
% 12.53/12.73 tff(tptp4_type, type, (
% 12.53/12.73 tptp4: $i)).
% 12.53/12.73 tff(tptp_fun_X49_6_type, type, (
% 12.53/12.73 tptp_fun_X49_6: ( $i * $i ) > $i)).
% 12.53/12.73 tff(legal_type, type, (
% 12.53/12.73 legal: $i > $o)).
% 12.53/12.73 tff(1,assumption,(![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))), introduced(assumption)).
% 12.53/12.73 tff(2,plain,
% 12.53/12.73 (?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133)) <=> ?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133))),
% 12.53/12.73 inference(rewrite,[status(thm)],[])).
% 12.53/12.73 tff(3,plain,
% 12.53/12.73 ((~(~?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133)))) <=> ?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(4,plain,
% 12.53/12.74 ((~?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133))) <=> (~?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(5,plain,
% 12.53/12.74 ((~(~?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133)))) <=> (~(~?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133))))),
% 12.53/12.74 inference(monotonicity,[status(thm)],[4])).
% 12.53/12.74 tff(6,plain,
% 12.53/12.74 ((~(~?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133)))) <=> ?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133))),
% 12.53/12.74 inference(transitivity,[status(thm)],[5, 3])).
% 12.53/12.74 tff(7,axiom,(~(~?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 12.53/12.74 tff(8,plain,
% 12.53/12.74 (?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[7, 6])).
% 12.53/12.74 tff(9,plain,
% 12.53/12.74 (?[X133: $i, X134: $i, X135: $i] : (tptp1(X133, tptp0, X134) & occurrence_of(X135, X133))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[8, 2])).
% 12.53/12.74 tff(10,plain,(
% 12.53/12.74 tptp1(X133!20, tptp0, X134!19) & occurrence_of(X135!18, X133!20)),
% 12.53/12.74 inference(skolemize,[status(sab)],[9])).
% 12.53/12.74 tff(11,plain,
% 12.53/12.74 (occurrence_of(X135!18, X133!20)),
% 12.53/12.74 inference(and_elim,[status(thm)],[10])).
% 12.53/12.74 tff(12,plain,
% 12.53/12.74 (^[X12: $i, X13: $i] : refl(((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(13,plain,
% 12.53/12.74 (![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)))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[12])).
% 12.53/12.74 tff(14,plain,
% 12.53/12.74 (^[X12: $i, X13: $i] : rewrite(((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(15,plain,
% 12.53/12.74 (![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)))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[14])).
% 12.53/12.74 tff(16,plain,
% 12.53/12.74 (![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)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(17,plain,
% 12.53/12.74 (^[X12: $i, X13: $i] : rewrite((occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(18,plain,
% 12.53/12.74 (![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)))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[17])).
% 12.53/12.74 tff(19,axiom,(![X12: $i, X13: $i] : (occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_03')).
% 12.53/12.74 tff(20,plain,
% 12.53/12.74 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[19, 18])).
% 12.53/12.74 tff(21,plain,
% 12.53/12.74 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[20, 16])).
% 12.53/12.74 tff(22,plain,(
% 12.53/12.74 ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 12.53/12.74 inference(skolemize,[status(sab)],[21])).
% 12.53/12.74 tff(23,plain,
% 12.53/12.74 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[22, 15])).
% 12.53/12.74 tff(24,plain,
% 12.53/12.74 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[23, 13])).
% 12.53/12.74 tff(25,plain,
% 12.53/12.74 (((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(X135!18, X133!20)) | (~((~activity(X133!20)) | (~activity_occurrence(X135!18)))))) <=> ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(X135!18, X133!20)) | (~((~activity(X133!20)) | (~activity_occurrence(X135!18)))))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(26,plain,
% 12.53/12.74 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(X135!18, X133!20)) | (~((~activity(X133!20)) | (~activity_occurrence(X135!18)))))),
% 12.53/12.74 inference(quant_inst,[status(thm)],[])).
% 12.53/12.74 tff(27,plain,
% 12.53/12.74 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(X135!18, X133!20)) | (~((~activity(X133!20)) | (~activity_occurrence(X135!18))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[26, 25])).
% 12.53/12.74 tff(28,plain,
% 12.53/12.74 (~((~activity(X133!20)) | (~activity_occurrence(X135!18)))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[27, 24, 11])).
% 12.53/12.74 tff(29,plain,
% 12.53/12.74 (((~activity(X133!20)) | (~activity_occurrence(X135!18))) | activity_occurrence(X135!18)),
% 12.53/12.74 inference(tautology,[status(thm)],[])).
% 12.53/12.74 tff(30,plain,
% 12.53/12.74 (activity_occurrence(X135!18)),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[29, 28])).
% 12.53/12.74 tff(31,plain,
% 12.53/12.74 (^[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)))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(32,plain,
% 12.53/12.74 (![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))))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[31])).
% 12.53/12.74 tff(33,plain,
% 12.53/12.74 (^[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)))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(34,plain,
% 12.53/12.74 (![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))))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[33])).
% 12.53/12.74 tff(35,plain,
% 12.53/12.74 (![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)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(36,plain,
% 12.53/12.74 (^[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))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(37,plain,
% 12.53/12.74 (![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)))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[36])).
% 12.53/12.74 tff(38,axiom,(![X41: $i] : (activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_12')).
% 12.53/12.74 tff(39,plain,
% 12.53/12.74 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[38, 37])).
% 12.53/12.74 tff(40,plain,
% 12.53/12.74 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[39, 35])).
% 12.53/12.74 tff(41,plain,(
% 12.53/12.74 ![X41: $i] : ((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41))))),
% 12.53/12.74 inference(skolemize,[status(sab)],[40])).
% 12.53/12.74 tff(42,plain,
% 12.53/12.74 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[41, 34])).
% 12.53/12.74 tff(43,plain,
% 12.53/12.74 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[42, 32])).
% 12.53/12.74 tff(44,plain,
% 12.53/12.74 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(X135!18)) | (~((~activity(tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(X135!18)) | (~((~activity(tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))))))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(45,plain,
% 12.53/12.74 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(X135!18)) | (~((~activity(tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))))))),
% 12.53/12.74 inference(quant_inst,[status(thm)],[])).
% 12.53/12.74 tff(46,plain,
% 12.53/12.74 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(X135!18)) | (~((~activity(tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18)))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[45, 44])).
% 12.53/12.74 tff(47,plain,
% 12.53/12.74 (~((~activity(tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[46, 43, 30])).
% 12.53/12.74 tff(48,plain,
% 12.53/12.74 (((~activity(tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18)))) | occurrence_of(X135!18, tptp_fun_X42_4(X135!18))),
% 12.53/12.74 inference(tautology,[status(thm)],[])).
% 12.53/12.74 tff(49,plain,
% 12.53/12.74 (occurrence_of(X135!18, tptp_fun_X42_4(X135!18))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[48, 47])).
% 12.53/12.74 tff(50,plain,
% 12.53/12.74 (^[X51: $i, X52: $i] : refl(((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(51,plain,
% 12.53/12.74 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[50])).
% 12.53/12.74 tff(52,plain,
% 12.53/12.74 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(53,plain,
% 12.53/12.74 (^[X51: $i, X52: $i] : rewrite((occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(54,plain,
% 12.53/12.74 (![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[53])).
% 12.53/12.74 tff(55,axiom,(![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_16')).
% 12.53/12.74 tff(56,plain,
% 12.53/12.74 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[55, 54])).
% 12.53/12.74 tff(57,plain,
% 12.53/12.74 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[56, 52])).
% 12.53/12.74 tff(58,plain,(
% 12.53/12.74 ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 12.53/12.74 inference(skolemize,[status(sab)],[57])).
% 12.53/12.74 tff(59,plain,
% 12.53/12.74 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[58, 51])).
% 12.53/12.74 tff(60,plain,
% 12.53/12.74 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (arboreal(X135!18) <=> atomic(tptp_fun_X42_4(X135!18))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (arboreal(X135!18) <=> atomic(tptp_fun_X42_4(X135!18))))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(61,plain,
% 12.53/12.74 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (arboreal(X135!18) <=> atomic(tptp_fun_X42_4(X135!18))))),
% 12.53/12.74 inference(quant_inst,[status(thm)],[])).
% 12.53/12.74 tff(62,plain,
% 12.53/12.74 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (arboreal(X135!18) <=> atomic(tptp_fun_X42_4(X135!18)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[61, 60])).
% 12.53/12.74 tff(63,plain,
% 12.53/12.74 (arboreal(X135!18) <=> atomic(tptp_fun_X42_4(X135!18))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[62, 59, 49])).
% 12.53/12.74 tff(64,plain,
% 12.53/12.74 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X135!18, X133!20)) | (arboreal(X135!18) <=> atomic(X133!20)))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X135!18, X133!20)) | (arboreal(X135!18) <=> atomic(X133!20)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(65,plain,
% 12.53/12.74 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X135!18, X133!20)) | (arboreal(X135!18) <=> atomic(X133!20)))),
% 12.53/12.74 inference(quant_inst,[status(thm)],[])).
% 12.53/12.74 tff(66,plain,
% 12.53/12.74 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X135!18, X133!20)) | (arboreal(X135!18) <=> atomic(X133!20))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[65, 64])).
% 12.53/12.74 tff(67,plain,
% 12.53/12.74 (arboreal(X135!18) <=> atomic(X133!20)),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[66, 59, 11])).
% 12.53/12.74 tff(68,plain,
% 12.53/12.74 (tptp1(X133!20, tptp0, X134!19)),
% 12.53/12.74 inference(and_elim,[status(thm)],[10])).
% 12.53/12.74 tff(69,plain,
% 12.53/12.74 (^[X120: $i, X121: $i, X122: $i] : refl(((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120))))) <=> ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(70,plain,
% 12.53/12.74 (![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120))))) <=> ![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[69])).
% 12.53/12.74 tff(71,plain,
% 12.53/12.74 (^[X120: $i, X121: $i, X122: $i] : rewrite(((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121))) <=> ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(72,plain,
% 12.53/12.74 (![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121))) <=> ![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[71])).
% 12.53/12.74 tff(73,plain,
% 12.53/12.74 (![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121))) <=> ![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(74,plain,
% 12.53/12.74 (^[X120: $i, X121: $i, X122: $i] : trans(monotonicity(trans(monotonicity(rewrite(((activity(X120) & (~atomic(X120))) & (~atomic(X121))) <=> (activity(X120) & (~atomic(X120)) & (~atomic(X121)))), ((((activity(X120) & (~atomic(X120))) & (~atomic(X121))) & root(X122, X121)) <=> ((activity(X120) & (~atomic(X120)) & (~atomic(X121))) & root(X122, X121)))), rewrite(((activity(X120) & (~atomic(X120)) & (~atomic(X121))) & root(X122, X121)) <=> (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121))), ((((activity(X120) & (~atomic(X120))) & (~atomic(X121))) & root(X122, X121)) <=> (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121)))), ((tptp1(X120, X121, X122) => (((activity(X120) & (~atomic(X120))) & (~atomic(X121))) & root(X122, X121))) <=> (tptp1(X120, X121, X122) => (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121))))), rewrite((tptp1(X120, X121, X122) => (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121))) <=> ((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121)))), ((tptp1(X120, X121, X122) => (((activity(X120) & (~atomic(X120))) & (~atomic(X121))) & root(X122, X121))) <=> ((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121)))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(75,plain,
% 12.53/12.74 (![X120: $i, X121: $i, X122: $i] : (tptp1(X120, X121, X122) => (((activity(X120) & (~atomic(X120))) & (~atomic(X121))) & root(X122, X121))) <=> ![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121)))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[74])).
% 12.53/12.74 tff(76,axiom,(![X120: $i, X121: $i, X122: $i] : (tptp1(X120, X121, X122) => (((activity(X120) & (~atomic(X120))) & (~atomic(X121))) & root(X122, X121)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_48')).
% 12.53/12.74 tff(77,plain,
% 12.53/12.74 (![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[76, 75])).
% 12.53/12.74 tff(78,plain,
% 12.53/12.74 (![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[77, 73])).
% 12.53/12.74 tff(79,plain,(
% 12.53/12.74 ![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (activity(X120) & (~atomic(X120)) & (~atomic(X121)) & root(X122, X121)))),
% 12.53/12.74 inference(skolemize,[status(sab)],[78])).
% 12.53/12.74 tff(80,plain,
% 12.53/12.74 (![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[79, 72])).
% 12.53/12.74 tff(81,plain,
% 12.53/12.74 (![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[80, 70])).
% 12.53/12.74 tff(82,plain,
% 12.53/12.74 (((~![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))) | ((~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~activity(X133!20)) | (~root(X134!19, tptp0)))))) <=> ((~![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))) | (~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~activity(X133!20)) | (~root(X134!19, tptp0)))))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(83,plain,
% 12.53/12.74 (((~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~root(X134!19, tptp0)) | (~activity(X133!20))))) <=> ((~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~activity(X133!20)) | (~root(X134!19, tptp0)))))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(84,plain,
% 12.53/12.74 (((~![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))) | ((~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~root(X134!19, tptp0)) | (~activity(X133!20)))))) <=> ((~![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))) | ((~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~activity(X133!20)) | (~root(X134!19, tptp0))))))),
% 12.53/12.74 inference(monotonicity,[status(thm)],[83])).
% 12.53/12.74 tff(85,plain,
% 12.53/12.74 (((~![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))) | ((~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~root(X134!19, tptp0)) | (~activity(X133!20)))))) <=> ((~![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))) | (~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~activity(X133!20)) | (~root(X134!19, tptp0)))))),
% 12.53/12.74 inference(transitivity,[status(thm)],[84, 82])).
% 12.53/12.74 tff(86,plain,
% 12.53/12.74 ((~![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))) | ((~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~root(X134!19, tptp0)) | (~activity(X133!20)))))),
% 12.53/12.74 inference(quant_inst,[status(thm)],[])).
% 12.53/12.74 tff(87,plain,
% 12.53/12.74 ((~![X120: $i, X121: $i, X122: $i] : ((~tptp1(X120, X121, X122)) | (~(atomic(X121) | atomic(X120) | (~root(X122, X121)) | (~activity(X120)))))) | (~tptp1(X133!20, tptp0, X134!19)) | (~(atomic(tptp0) | atomic(X133!20) | (~activity(X133!20)) | (~root(X134!19, tptp0))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[86, 85])).
% 12.53/12.74 tff(88,plain,
% 12.53/12.74 (~(atomic(tptp0) | atomic(X133!20) | (~activity(X133!20)) | (~root(X134!19, tptp0)))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[87, 81, 68])).
% 12.53/12.74 tff(89,plain,
% 12.53/12.74 ((atomic(tptp0) | atomic(X133!20) | (~activity(X133!20)) | (~root(X134!19, tptp0))) | (~atomic(X133!20))),
% 12.53/12.74 inference(tautology,[status(thm)],[])).
% 12.53/12.74 tff(90,plain,
% 12.53/12.74 (~atomic(X133!20)),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[89, 88])).
% 12.53/12.74 tff(91,plain,
% 12.53/12.74 ((~(arboreal(X135!18) <=> atomic(X133!20))) | (~arboreal(X135!18)) | atomic(X133!20)),
% 12.53/12.74 inference(tautology,[status(thm)],[])).
% 12.53/12.74 tff(92,plain,
% 12.53/12.74 (~arboreal(X135!18)),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[91, 90, 67])).
% 12.53/12.74 tff(93,plain,
% 12.53/12.74 ((~(arboreal(X135!18) <=> atomic(tptp_fun_X42_4(X135!18)))) | arboreal(X135!18) | (~atomic(tptp_fun_X42_4(X135!18)))),
% 12.53/12.74 inference(tautology,[status(thm)],[])).
% 12.53/12.74 tff(94,plain,
% 12.53/12.74 ((~(arboreal(X135!18) <=> atomic(tptp_fun_X42_4(X135!18)))) | (~atomic(tptp_fun_X42_4(X135!18)))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[93, 92])).
% 12.53/12.74 tff(95,plain,
% 12.53/12.74 (~atomic(tptp_fun_X42_4(X135!18))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[94, 63])).
% 12.53/12.74 tff(96,plain,
% 12.53/12.74 (^[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))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(97,plain,
% 12.53/12.74 (![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)))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[96])).
% 12.53/12.74 tff(98,plain,
% 12.53/12.74 (^[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)))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(99,plain,
% 12.53/12.74 (![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)))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[98])).
% 12.53/12.74 tff(100,plain,
% 12.53/12.74 (![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)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(101,plain,
% 12.53/12.74 (^[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))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(102,plain,
% 12.53/12.74 (![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)))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[101])).
% 12.53/12.74 tff(103,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')).
% 12.53/12.74 tff(104,plain,
% 12.53/12.74 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[103, 102])).
% 12.53/12.74 tff(105,plain,
% 12.53/12.74 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[104, 100])).
% 12.53/12.74 tff(106,plain,(
% 12.53/12.74 ![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)))),
% 12.53/12.74 inference(skolemize,[status(sab)],[105])).
% 12.53/12.74 tff(107,plain,
% 12.53/12.74 (![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)))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[106, 99])).
% 12.53/12.74 tff(108,plain,
% 12.53/12.74 (![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)))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[107, 97])).
% 12.53/12.74 tff(109,plain,
% 12.53/12.74 (((~![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(X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~((~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))))) <=> ((~![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(X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~((~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(110,plain,
% 12.53/12.74 ((~![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(X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~((~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))))),
% 12.53/12.74 inference(quant_inst,[status(thm)],[])).
% 12.53/12.74 tff(111,plain,
% 12.53/12.74 ((~![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(X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~((~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[110, 109])).
% 12.53/12.74 tff(112,plain,
% 12.53/12.74 (atomic(tptp_fun_X42_4(X135!18)) | (~((~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18))))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[111, 108, 49])).
% 12.53/12.74 tff(113,plain,
% 12.53/12.74 (~((~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[112, 95])).
% 12.53/12.74 tff(114,plain,
% 12.53/12.74 (((~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18))) | subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)),
% 12.53/12.74 inference(tautology,[status(thm)],[])).
% 12.53/12.74 tff(115,plain,
% 12.53/12.74 (subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[114, 113])).
% 12.53/12.74 tff(116,plain,
% 12.53/12.74 (((~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18))) | root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))),
% 12.53/12.74 inference(tautology,[status(thm)],[])).
% 12.53/12.74 tff(117,plain,
% 12.53/12.74 (root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[116, 113])).
% 12.53/12.74 tff(118,plain,
% 12.53/12.74 (((~![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))) | ((~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))) <=> ((~![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(119,plain,
% 12.53/12.74 (((~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18)))) <=> ((~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(120,plain,
% 12.53/12.74 (((~![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))) | ((~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))))) <=> ((~![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))) | ((~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18))))),
% 12.53/12.74 inference(monotonicity,[status(thm)],[119])).
% 12.53/12.74 tff(121,plain,
% 12.53/12.74 (((~![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))) | ((~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))))) <=> ((~![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))),
% 12.53/12.74 inference(transitivity,[status(thm)],[120, 118])).
% 12.53/12.74 tff(122,plain,
% 12.53/12.74 ((~![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))) | ((~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))))),
% 12.53/12.74 inference(quant_inst,[status(thm)],[])).
% 12.53/12.74 tff(123,plain,
% 12.53/12.74 ((~![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(X135!18))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[122, 121])).
% 12.53/12.74 tff(124,plain,
% 12.53/12.74 ($false),
% 12.53/12.74 inference(unit_resolution,[status(thm)],[123, 49, 117, 115, 1])).
% 12.53/12.74 tff(125,plain,(~![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))), inference(lemma,lemma(discharge,[]))).
% 12.53/12.74 tff(126,plain,
% 12.53/12.74 (^[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))))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(127,plain,
% 12.53/12.74 (![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)))))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[126])).
% 12.53/12.74 tff(128,plain,
% 12.53/12.74 (^[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))))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(129,plain,
% 12.53/12.74 (![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)))))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[128])).
% 12.53/12.74 tff(130,plain,
% 12.53/12.74 (![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)))))))),
% 12.53/12.74 inference(transitivity,[status(thm)],[129, 127])).
% 12.53/12.74 tff(131,plain,
% 12.53/12.74 (^[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)))))))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(132,plain,
% 12.53/12.74 (![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)))))))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[131])).
% 12.53/12.74 tff(133,plain,
% 12.53/12.74 (![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)))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(134,plain,
% 12.53/12.74 (^[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))))),
% 12.53/12.74 inference(bind,[status(th)],[])).
% 12.53/12.74 tff(135,plain,
% 12.53/12.74 (![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)))),
% 12.53/12.74 inference(quant_intro,[status(thm)],[134])).
% 12.53/12.74 tff(136,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')).
% 12.53/12.74 tff(137,plain,
% 12.53/12.74 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[136, 135])).
% 12.53/12.74 tff(138,plain,
% 12.53/12.74 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[137, 133])).
% 12.53/12.74 tff(139,plain,(
% 12.53/12.74 ![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)))))),
% 12.53/12.74 inference(skolemize,[status(sab)],[138])).
% 12.53/12.74 tff(140,plain,
% 12.53/12.74 (![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)))))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[139, 132])).
% 12.53/12.74 tff(141,plain,
% 12.53/12.74 (![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)))))))),
% 12.53/12.74 inference(modus_ponens,[status(thm)],[140, 130])).
% 12.53/12.74 tff(142,plain,
% 12.53/12.74 (((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))) | (~((~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))))) <=> ((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))) | (~((~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))))))))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(143,plain,
% 12.53/12.74 ((~((~((~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))))) | (~(root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))))) <=> (~((~(root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))) | (~((~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))))),
% 12.53/12.74 inference(rewrite,[status(thm)],[])).
% 12.53/12.74 tff(144,plain,
% 12.53/12.74 (((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))))) | (~(root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))) | (~((~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))))))))),
% 12.53/12.75 inference(monotonicity,[status(thm)],[143])).
% 12.53/12.75 tff(145,plain,
% 12.53/12.75 (((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))))) | (~(root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))) | (~((~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))))))))),
% 12.53/12.75 inference(transitivity,[status(thm)],[144, 142])).
% 12.53/12.75 tff(146,plain,
% 12.53/12.75 ((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))))) | (~(root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))))))),
% 12.53/12.75 inference(quant_inst,[status(thm)],[])).
% 12.53/12.75 tff(147,plain,
% 12.53/12.75 ((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))) | (~((~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[146, 145])).
% 12.53/12.75 tff(148,plain,
% 12.53/12.75 (~((~(root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))) | (~((~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))))))),
% 12.53/12.75 inference(unit_resolution,[status(thm)],[147, 141])).
% 12.53/12.75 tff(149,plain,
% 12.53/12.75 (((~(root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))) | (~((~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X60_9(X135!18, tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))),
% 12.53/12.75 inference(tautology,[status(thm)],[])).
% 12.53/12.75 tff(150,plain,
% 12.53/12.75 (root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))),
% 12.53/12.75 inference(unit_resolution,[status(thm)],[149, 148])).
% 12.53/12.75 tff(151,plain,
% 12.53/12.75 ((~(root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60))))) | root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))),
% 12.53/12.75 inference(tautology,[status(thm)],[])).
% 12.53/12.75 tff(152,plain,
% 12.53/12.75 (root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18) | ![X60: $i] : ((~occurrence_of(X135!18, X60)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (~root(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X60)))),
% 12.53/12.75 inference(unit_resolution,[status(thm)],[151, 150])).
% 12.53/12.75 tff(153,plain,
% 12.53/12.75 (root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)),
% 12.53/12.75 inference(unit_resolution,[status(thm)],[152, 125])).
% 12.53/12.75 tff(154,plain,
% 12.53/12.75 (^[X123: $i, X124: $i, X125: $i, X126: $i] : refl(((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126))))) <=> ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126))))))),
% 12.53/12.75 inference(bind,[status(th)],[])).
% 12.53/12.75 tff(155,plain,
% 12.53/12.75 (![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126))))) <=> ![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))),
% 12.53/12.75 inference(quant_intro,[status(thm)],[154])).
% 12.53/12.75 tff(156,plain,
% 12.53/12.75 (^[X123: $i, X124: $i, X125: $i, X126: $i] : trans(monotonicity(trans(monotonicity(rewrite((tptp1(X123, X124, X125) & occurrence_of(X126, X123)) <=> (~((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123))))), ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) <=> (~(~((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123))))))), rewrite((~(~((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123))))) <=> ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)))), ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) <=> ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123))))), rewrite((send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124) & occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124)) & root_occ(tptp_fun_X130_14(X126, X125, X124), X126)) <=> (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126))))), (((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | (send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124) & occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124)) & root_occ(tptp_fun_X130_14(X126, X125, X124), X126))) <=> (((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123))) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126))))))), rewrite((((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123))) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126))))) <=> ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))), (((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | (send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124) & occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124)) & root_occ(tptp_fun_X130_14(X126, X125, X124), X126))) <=> ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))))),
% 12.53/12.75 inference(bind,[status(th)],[])).
% 12.53/12.75 tff(157,plain,
% 12.53/12.75 (![X123: $i, X124: $i, X125: $i, X126: $i] : ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | (send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124) & occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124)) & root_occ(tptp_fun_X130_14(X126, X125, X124), X126))) <=> ![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))),
% 12.53/12.75 inference(quant_intro,[status(thm)],[156])).
% 12.53/12.75 tff(158,plain,
% 12.53/12.75 (![X123: $i, X124: $i, X125: $i, X126: $i] : ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126))) <=> ![X123: $i, X124: $i, X125: $i, X126: $i] : ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126)))),
% 12.53/12.75 inference(rewrite,[status(thm)],[])).
% 12.53/12.75 tff(159,plain,
% 12.53/12.75 (^[X123: $i, X124: $i, X125: $i, X126: $i] : trans(monotonicity(quant_intro(proof_bind(^[X127: $i, X128: $i, X129: $i, X130: $i] : rewrite(((send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127)) & root_occ(X130, X126)) <=> (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126)))), (?[X127: $i, X128: $i, X129: $i, X130: $i] : ((send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127)) & root_occ(X130, X126)) <=> ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126)))), (((tptp1(X123, X124, X125) & occurrence_of(X126, X123)) => ?[X127: $i, X128: $i, X129: $i, X130: $i] : ((send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127)) & root_occ(X130, X126))) <=> ((tptp1(X123, X124, X125) & occurrence_of(X126, X123)) => ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126))))), rewrite(((tptp1(X123, X124, X125) & occurrence_of(X126, X123)) => ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126))) <=> ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126)))), (((tptp1(X123, X124, X125) & occurrence_of(X126, X123)) => ?[X127: $i, X128: $i, X129: $i, X130: $i] : ((send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127)) & root_occ(X130, X126))) <=> ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126)))))),
% 12.53/12.75 inference(bind,[status(th)],[])).
% 12.53/12.75 tff(160,plain,
% 12.53/12.75 (![X123: $i, X124: $i, X125: $i, X126: $i] : ((tptp1(X123, X124, X125) & occurrence_of(X126, X123)) => ?[X127: $i, X128: $i, X129: $i, X130: $i] : ((send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127)) & root_occ(X130, X126))) <=> ![X123: $i, X124: $i, X125: $i, X126: $i] : ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126)))),
% 12.53/12.75 inference(quant_intro,[status(thm)],[159])).
% 12.53/12.75 tff(161,axiom,(![X123: $i, X124: $i, X125: $i, X126: $i] : ((tptp1(X123, X124, X125) & occurrence_of(X126, X123)) => ?[X127: $i, X128: $i, X129: $i, X130: $i] : ((send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127)) & root_occ(X130, X126)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_49')).
% 12.53/12.75 tff(162,plain,
% 12.53/12.75 (![X123: $i, X124: $i, X125: $i, X126: $i] : ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126)))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[161, 160])).
% 12.53/12.75 tff(163,plain,
% 12.53/12.75 (![X123: $i, X124: $i, X125: $i, X126: $i] : ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | ?[X127: $i, X128: $i, X129: $i, X130: $i] : (send_message(X127, X128, X129, X125, X124) & occurrence_of(X130, X127) & root_occ(X130, X126)))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[162, 158])).
% 12.53/12.75 tff(164,plain,(
% 12.53/12.75 ![X123: $i, X124: $i, X125: $i, X126: $i] : ((~(tptp1(X123, X124, X125) & occurrence_of(X126, X123))) | (send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124) & occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124)) & root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))),
% 12.53/12.75 inference(skolemize,[status(sab)],[163])).
% 12.53/12.75 tff(165,plain,
% 12.53/12.75 (![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[164, 157])).
% 12.53/12.75 tff(166,plain,
% 12.53/12.75 (![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[165, 155])).
% 12.53/12.75 tff(167,plain,
% 12.53/12.75 (((~![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))) | ((~occurrence_of(X135!18, X133!20)) | (~tptp1(X133!20, tptp0, X134!19)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))))) <=> ((~![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))) | (~occurrence_of(X135!18, X133!20)) | (~tptp1(X133!20, tptp0, X134!19)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))))),
% 12.53/12.75 inference(rewrite,[status(thm)],[])).
% 12.53/12.75 tff(168,plain,
% 12.53/12.75 (((~tptp1(X133!20, tptp0, X134!19)) | (~occurrence_of(X135!18, X133!20)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18))))) <=> ((~occurrence_of(X135!18, X133!20)) | (~tptp1(X133!20, tptp0, X134!19)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))))),
% 12.53/12.75 inference(rewrite,[status(thm)],[])).
% 12.53/12.75 tff(169,plain,
% 12.53/12.75 ((~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))) <=> (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18))))),
% 12.53/12.75 inference(rewrite,[status(thm)],[])).
% 12.53/12.75 tff(170,plain,
% 12.53/12.75 (((~tptp1(X133!20, tptp0, X134!19)) | (~occurrence_of(X135!18, X133!20)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18))))) <=> ((~tptp1(X133!20, tptp0, X134!19)) | (~occurrence_of(X135!18, X133!20)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))))),
% 12.53/12.75 inference(monotonicity,[status(thm)],[169])).
% 12.53/12.75 tff(171,plain,
% 12.53/12.75 (((~tptp1(X133!20, tptp0, X134!19)) | (~occurrence_of(X135!18, X133!20)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18))))) <=> ((~occurrence_of(X135!18, X133!20)) | (~tptp1(X133!20, tptp0, X134!19)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))))),
% 12.53/12.75 inference(transitivity,[status(thm)],[170, 168])).
% 12.53/12.75 tff(172,plain,
% 12.53/12.75 (((~![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))) | ((~tptp1(X133!20, tptp0, X134!19)) | (~occurrence_of(X135!18, X133!20)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))))) <=> ((~![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))) | ((~occurrence_of(X135!18, X133!20)) | (~tptp1(X133!20, tptp0, X134!19)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18))))))),
% 12.53/12.75 inference(monotonicity,[status(thm)],[171])).
% 12.53/12.75 tff(173,plain,
% 12.53/12.75 (((~![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))) | ((~tptp1(X133!20, tptp0, X134!19)) | (~occurrence_of(X135!18, X133!20)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))))) <=> ((~![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))) | (~occurrence_of(X135!18, X133!20)) | (~tptp1(X133!20, tptp0, X134!19)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))))),
% 12.53/12.75 inference(transitivity,[status(thm)],[172, 167])).
% 12.53/12.75 tff(174,plain,
% 12.53/12.75 ((~![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))) | ((~tptp1(X133!20, tptp0, X134!19)) | (~occurrence_of(X135!18, X133!20)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))))),
% 12.53/12.75 inference(quant_inst,[status(thm)],[])).
% 12.53/12.75 tff(175,plain,
% 12.53/12.75 ((~![X123: $i, X124: $i, X125: $i, X126: $i] : ((~tptp1(X123, X124, X125)) | (~occurrence_of(X126, X123)) | (~((~send_message(tptp_fun_X127_17(X126, X125, X124), tptp_fun_X128_16(X126, X125, X124), tptp_fun_X129_15(X126, X125, X124), X125, X124)) | (~occurrence_of(tptp_fun_X130_14(X126, X125, X124), tptp_fun_X127_17(X126, X125, X124))) | (~root_occ(tptp_fun_X130_14(X126, X125, X124), X126)))))) | (~occurrence_of(X135!18, X133!20)) | (~tptp1(X133!20, tptp0, X134!19)) | (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18))))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[174, 173])).
% 12.53/12.75 tff(176,plain,
% 12.53/12.75 (~((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)))),
% 12.53/12.75 inference(unit_resolution,[status(thm)],[175, 166, 68, 11])).
% 12.53/12.75 tff(177,plain,
% 12.53/12.75 (((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18))) | root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)),
% 12.53/12.75 inference(tautology,[status(thm)],[])).
% 12.53/12.75 tff(178,plain,
% 12.53/12.75 (root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)),
% 12.53/12.75 inference(unit_resolution,[status(thm)],[177, 176])).
% 12.53/12.75 tff(179,plain,
% 12.53/12.75 (^[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))))),
% 12.53/12.75 inference(bind,[status(th)],[])).
% 12.53/12.75 tff(180,plain,
% 12.53/12.75 (![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)))),
% 12.53/12.75 inference(quant_intro,[status(thm)],[179])).
% 12.53/12.75 tff(181,plain,
% 12.53/12.75 (^[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)))))),
% 12.53/12.75 inference(bind,[status(th)],[])).
% 12.53/12.75 tff(182,plain,
% 12.53/12.75 (![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)))),
% 12.53/12.75 inference(quant_intro,[status(thm)],[181])).
% 12.53/12.75 tff(183,plain,
% 12.53/12.75 (![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))),
% 12.53/12.75 inference(rewrite,[status(thm)],[])).
% 12.53/12.75 tff(184,plain,
% 12.53/12.75 (^[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))))),
% 12.53/12.75 inference(bind,[status(th)],[])).
% 12.53/12.75 tff(185,plain,
% 12.53/12.75 (![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))),
% 12.53/12.75 inference(quant_intro,[status(thm)],[184])).
% 12.53/12.75 tff(186,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')).
% 12.53/12.75 tff(187,plain,
% 12.53/12.75 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[186, 185])).
% 12.53/12.75 tff(188,plain,
% 12.53/12.75 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[187, 183])).
% 12.53/12.75 tff(189,plain,(
% 12.53/12.75 ![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 12.53/12.75 inference(skolemize,[status(sab)],[188])).
% 12.53/12.75 tff(190,plain,
% 12.53/12.75 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[189, 182])).
% 12.53/12.75 tff(191,plain,
% 12.53/12.75 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 12.53/12.75 inference(modus_ponens,[status(thm)],[190, 180])).
% 12.53/12.75 tff(192,plain,
% 12.53/12.75 (((~![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_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) <=> ((~![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_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.53/12.76 inference(rewrite,[status(thm)],[])).
% 12.53/12.76 tff(193,plain,
% 12.53/12.76 (((tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18))) <=> ((~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.53/12.76 inference(rewrite,[status(thm)],[])).
% 12.53/12.76 tff(194,plain,
% 12.53/12.76 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))) <=> ((~![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_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))),
% 12.53/12.76 inference(monotonicity,[status(thm)],[193])).
% 12.53/12.76 tff(195,plain,
% 12.53/12.76 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))) <=> ((~![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_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.53/12.76 inference(transitivity,[status(thm)],[194, 192])).
% 12.53/12.76 tff(196,plain,
% 12.53/12.76 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)))),
% 12.53/12.76 inference(quant_inst,[status(thm)],[])).
% 12.53/12.76 tff(197,plain,
% 12.53/12.76 ((~![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_X130_14(X135!18, X134!19, tptp0), X135!18)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (~root_occ(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), X135!18)) | (tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))),
% 12.53/12.76 inference(modus_ponens,[status(thm)],[196, 195])).
% 12.53/12.76 tff(198,plain,
% 12.53/12.76 (tptp_fun_X130_14(X135!18, X134!19, tptp0) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[197, 191, 178, 49, 153])).
% 12.53/12.76 tff(199,plain,
% 12.53/12.76 (tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)) = tptp_fun_X130_14(X135!18, X134!19, tptp0)),
% 12.53/12.76 inference(symmetry,[status(thm)],[198])).
% 12.53/12.76 tff(200,plain,
% 12.53/12.76 (occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))) <=> occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))),
% 12.53/12.76 inference(monotonicity,[status(thm)],[199])).
% 12.53/12.76 tff(201,plain,
% 12.53/12.76 (occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))) <=> occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))),
% 12.53/12.76 inference(symmetry,[status(thm)],[200])).
% 12.53/12.76 tff(202,plain,
% 12.53/12.76 (((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18))) | occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))),
% 12.53/12.76 inference(tautology,[status(thm)],[])).
% 12.53/12.76 tff(203,plain,
% 12.53/12.76 (occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[202, 176])).
% 12.53/12.76 tff(204,plain,
% 12.53/12.76 (((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~((~activity(tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))))))) <=> ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~((~activity(tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))))))),
% 12.53/12.76 inference(rewrite,[status(thm)],[])).
% 12.53/12.76 tff(205,plain,
% 12.53/12.76 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~((~activity(tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))))))),
% 12.53/12.76 inference(quant_inst,[status(thm)],[])).
% 12.53/12.76 tff(206,plain,
% 12.53/12.76 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~((~activity(tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))),
% 12.53/12.76 inference(modus_ponens,[status(thm)],[205, 204])).
% 12.53/12.76 tff(207,plain,
% 12.53/12.76 (~((~activity(tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[206, 24, 203])).
% 12.53/12.76 tff(208,plain,
% 12.53/12.76 (((~activity(tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))),
% 12.53/12.76 inference(tautology,[status(thm)],[])).
% 12.53/12.76 tff(209,plain,
% 12.53/12.76 (activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[208, 207])).
% 12.53/12.76 tff(210,plain,
% 12.53/12.76 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))))),
% 12.53/12.76 inference(rewrite,[status(thm)],[])).
% 12.53/12.76 tff(211,plain,
% 12.53/12.76 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))))),
% 12.53/12.76 inference(quant_inst,[status(thm)],[])).
% 12.53/12.76 tff(212,plain,
% 12.53/12.76 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X130_14(X135!18, X134!19, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))))))),
% 12.53/12.76 inference(modus_ponens,[status(thm)],[211, 210])).
% 12.53/12.76 tff(213,plain,
% 12.53/12.76 (~((~activity(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[212, 43, 209])).
% 12.53/12.76 tff(214,plain,
% 12.53/12.76 (((~activity(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))))) | occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))),
% 12.53/12.76 inference(tautology,[status(thm)],[])).
% 12.53/12.76 tff(215,plain,
% 12.53/12.76 (occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[214, 213])).
% 12.53/12.76 tff(216,plain,
% 12.53/12.76 (occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))),
% 12.53/12.76 inference(modus_ponens,[status(thm)],[215, 201])).
% 12.53/12.76 tff(217,assumption,(min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), introduced(assumption)).
% 12.53/12.76 tff(218,assumption,(![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))), introduced(assumption)).
% 12.53/12.76 tff(219,plain,
% 12.53/12.76 (^[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))))))))),
% 12.53/12.76 inference(bind,[status(th)],[])).
% 12.53/12.76 tff(220,plain,
% 12.53/12.76 (![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)))))))),
% 12.53/12.76 inference(quant_intro,[status(thm)],[219])).
% 12.53/12.76 tff(221,plain,
% 12.53/12.76 (^[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))))))))),
% 12.53/12.76 inference(bind,[status(th)],[])).
% 12.53/12.76 tff(222,plain,
% 12.53/12.76 (![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)))))))),
% 12.53/12.76 inference(quant_intro,[status(thm)],[221])).
% 12.53/12.76 tff(223,plain,
% 12.53/12.76 (![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)))))))),
% 12.53/12.76 inference(transitivity,[status(thm)],[222, 220])).
% 12.53/12.76 tff(224,plain,
% 12.53/12.76 (^[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)))))))))),
% 12.53/12.76 inference(bind,[status(th)],[])).
% 12.53/12.76 tff(225,plain,
% 12.53/12.76 (![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)))))))),
% 12.53/12.76 inference(quant_intro,[status(thm)],[224])).
% 12.53/12.76 tff(226,plain,
% 12.53/12.76 (![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)))),
% 12.53/12.76 inference(rewrite,[status(thm)],[])).
% 12.53/12.76 tff(227,plain,
% 12.53/12.76 (^[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))))),
% 12.53/12.76 inference(bind,[status(th)],[])).
% 12.53/12.76 tff(228,plain,
% 12.53/12.76 (![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)))),
% 12.53/12.76 inference(quant_intro,[status(thm)],[227])).
% 12.53/12.76 tff(229,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')).
% 12.53/12.76 tff(230,plain,
% 12.53/12.76 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 12.53/12.76 inference(modus_ponens,[status(thm)],[229, 228])).
% 12.53/12.76 tff(231,plain,
% 12.53/12.76 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 12.53/12.76 inference(modus_ponens,[status(thm)],[230, 226])).
% 12.53/12.76 tff(232,plain,(
% 12.53/12.76 ![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)))))),
% 12.53/12.76 inference(skolemize,[status(sab)],[231])).
% 12.53/12.76 tff(233,plain,
% 12.53/12.76 (![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)))))))),
% 12.53/12.76 inference(modus_ponens,[status(thm)],[232, 225])).
% 12.53/12.76 tff(234,plain,
% 12.53/12.76 (![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)))))))),
% 12.53/12.76 inference(modus_ponens,[status(thm)],[233, 223])).
% 12.53/12.76 tff(235,plain,
% 12.53/12.76 (((~![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(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57))))) | (~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))))))))) <=> ((~![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(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57))))) | (~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))))))),
% 12.53/12.76 inference(rewrite,[status(thm)],[])).
% 12.53/12.76 tff(236,plain,
% 12.53/12.76 ((~((~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))) | (~(leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57))))))) <=> (~((~(leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57))))) | (~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))))))))),
% 12.53/12.76 inference(rewrite,[status(thm)],[])).
% 12.53/12.76 tff(237,plain,
% 12.53/12.76 (((~![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(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))) | (~(leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, 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(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57))))) | (~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))))))),
% 12.53/12.76 inference(monotonicity,[status(thm)],[236])).
% 12.53/12.76 tff(238,plain,
% 12.53/12.76 (((~![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(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))) | (~(leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, 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(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57))))) | (~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))))))),
% 12.53/12.76 inference(transitivity,[status(thm)],[237, 235])).
% 12.53/12.76 tff(239,plain,
% 12.53/12.76 ((~![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(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))) | (~(leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57)))))))),
% 12.53/12.76 inference(quant_inst,[status(thm)],[])).
% 12.53/12.76 tff(240,plain,
% 12.53/12.76 ((~![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(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57))))) | (~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))))))))),
% 12.53/12.76 inference(modus_ponens,[status(thm)],[239, 238])).
% 12.53/12.76 tff(241,plain,
% 12.53/12.76 (~((~(leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57))))) | (~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[240, 234])).
% 12.53/12.76 tff(242,plain,
% 12.53/12.76 (((~(leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), X57)) | (~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, X57))))) | (~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))))))) | ((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))),
% 12.53/12.76 inference(tautology,[status(thm)],[])).
% 12.53/12.76 tff(243,plain,
% 12.53/12.76 ((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[242, 241])).
% 12.53/12.76 tff(244,assumption,(~((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))))), introduced(assumption)).
% 12.53/12.76 tff(245,plain,
% 12.53/12.76 (((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)))) | leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))),
% 12.53/12.76 inference(tautology,[status(thm)],[])).
% 12.53/12.76 tff(246,plain,
% 12.53/12.76 (leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[245, 244])).
% 12.53/12.76 tff(247,plain,
% 12.53/12.76 ((~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))))),
% 12.53/12.76 inference(tautology,[status(thm)],[])).
% 12.53/12.76 tff(248,plain,
% 12.53/12.76 ((~((~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[247, 246])).
% 12.53/12.76 tff(249,plain,
% 12.53/12.76 (~((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[248, 243])).
% 12.53/12.76 tff(250,plain,
% 12.53/12.76 (((~subactivity_occurrence(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))) | occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.76 inference(tautology,[status(thm)],[])).
% 12.53/12.76 tff(251,plain,
% 12.53/12.76 (occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[250, 249])).
% 12.53/12.76 tff(252,plain,
% 12.53/12.76 (((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)))) | occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)),
% 12.53/12.76 inference(tautology,[status(thm)],[])).
% 12.53/12.76 tff(253,plain,
% 12.53/12.76 (occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)),
% 12.53/12.76 inference(unit_resolution,[status(thm)],[252, 244])).
% 12.53/12.76 tff(254,plain,
% 12.53/12.76 (^[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))))),
% 12.53/12.76 inference(bind,[status(th)],[])).
% 12.53/12.76 tff(255,plain,
% 12.53/12.76 (![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)))),
% 12.53/12.76 inference(quant_intro,[status(thm)],[254])).
% 12.53/12.76 tff(256,plain,
% 12.53/12.76 (^[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)))))),
% 12.53/12.76 inference(bind,[status(th)],[])).
% 12.53/12.76 tff(257,plain,
% 12.53/12.76 (![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)))),
% 12.53/12.76 inference(quant_intro,[status(thm)],[256])).
% 12.53/12.76 tff(258,plain,
% 12.53/12.76 (![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))),
% 12.53/12.77 inference(rewrite,[status(thm)],[])).
% 12.53/12.77 tff(259,plain,
% 12.53/12.77 (^[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)))),
% 12.53/12.77 inference(bind,[status(th)],[])).
% 12.53/12.77 tff(260,plain,
% 12.53/12.77 (![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))),
% 12.53/12.77 inference(quant_intro,[status(thm)],[259])).
% 12.53/12.77 tff(261,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')).
% 12.53/12.77 tff(262,plain,
% 12.53/12.77 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[261, 260])).
% 12.53/12.77 tff(263,plain,
% 12.53/12.77 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[262, 258])).
% 12.53/12.77 tff(264,plain,(
% 12.53/12.77 ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 12.53/12.77 inference(skolemize,[status(sab)],[263])).
% 12.53/12.77 tff(265,plain,
% 12.53/12.77 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[264, 257])).
% 12.53/12.77 tff(266,plain,
% 12.53/12.77 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[265, 255])).
% 12.53/12.77 tff(267,plain,
% 12.53/12.77 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))),
% 12.53/12.77 inference(rewrite,[status(thm)],[])).
% 12.53/12.77 tff(268,plain,
% 12.53/12.77 (((tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))) <=> ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))),
% 12.53/12.77 inference(rewrite,[status(thm)],[])).
% 12.53/12.77 tff(269,plain,
% 12.53/12.77 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))),
% 12.53/12.77 inference(monotonicity,[status(thm)],[268])).
% 12.53/12.77 tff(270,plain,
% 12.53/12.77 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))),
% 12.53/12.77 inference(transitivity,[status(thm)],[269, 267])).
% 12.53/12.77 tff(271,plain,
% 12.53/12.77 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))),
% 12.53/12.77 inference(quant_inst,[status(thm)],[])).
% 12.53/12.77 tff(272,plain,
% 12.53/12.77 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[271, 270])).
% 12.53/12.77 tff(273,plain,
% 12.53/12.77 (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)),
% 12.53/12.77 inference(unit_resolution,[status(thm)],[272, 266, 253, 251])).
% 12.53/12.77 tff(274,plain,
% 12.53/12.77 (tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19) = tptp0),
% 12.53/12.77 inference(symmetry,[status(thm)],[273])).
% 12.53/12.77 tff(275,plain,
% 12.53/12.77 (min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)) <=> min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)),
% 12.53/12.77 inference(monotonicity,[status(thm)],[274])).
% 12.53/12.77 tff(276,plain,
% 12.53/12.77 (min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0) <=> min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.77 inference(symmetry,[status(thm)],[275])).
% 12.53/12.77 tff(277,plain,
% 12.53/12.77 (^[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)))))))))))),
% 12.53/12.77 inference(bind,[status(th)],[])).
% 12.53/12.77 tff(278,plain,
% 12.53/12.77 (![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))))))))))),
% 12.53/12.77 inference(quant_intro,[status(thm)],[277])).
% 12.53/12.77 tff(279,plain,
% 12.53/12.77 (^[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)))))))))),
% 12.53/12.77 inference(bind,[status(th)],[])).
% 12.53/12.77 tff(280,plain,
% 12.53/12.77 (![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))))))))),
% 12.53/12.77 inference(quant_intro,[status(thm)],[279])).
% 12.53/12.77 tff(281,plain,
% 12.53/12.77 (^[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)))))))))),
% 12.53/12.77 inference(bind,[status(th)],[])).
% 12.53/12.77 tff(282,plain,
% 12.53/12.77 (![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))))))))),
% 12.53/12.77 inference(quant_intro,[status(thm)],[281])).
% 12.53/12.77 tff(283,plain,
% 12.53/12.77 (![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))))))))),
% 12.53/12.77 inference(transitivity,[status(thm)],[282, 280])).
% 12.53/12.77 tff(284,plain,
% 12.53/12.77 (^[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))))))))))),
% 12.53/12.77 inference(bind,[status(th)],[])).
% 12.53/12.77 tff(285,plain,
% 12.53/12.77 (![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))))))))),
% 12.53/12.77 inference(quant_intro,[status(thm)],[284])).
% 12.53/12.77 tff(286,plain,
% 12.53/12.77 (^[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)))))),
% 12.53/12.77 inference(bind,[status(th)],[])).
% 12.53/12.77 tff(287,plain,
% 12.53/12.77 (![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))))),
% 12.53/12.77 inference(quant_intro,[status(thm)],[286])).
% 12.53/12.77 tff(288,plain,
% 12.53/12.77 (![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)))))),
% 12.53/12.77 inference(rewrite,[status(thm)],[])).
% 12.53/12.77 tff(289,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')).
% 12.53/12.77 tff(290,plain,
% 12.53/12.77 (![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)))))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[289, 288])).
% 12.53/12.77 tff(291,plain,(
% 12.53/12.77 ![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)))))),
% 12.53/12.77 inference(skolemize,[status(sab)],[290])).
% 12.53/12.77 tff(292,plain,
% 12.53/12.77 (![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))))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[291, 287])).
% 12.53/12.77 tff(293,plain,
% 12.53/12.77 (![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))))))))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[292, 285])).
% 12.53/12.77 tff(294,plain,
% 12.53/12.77 (![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))))))))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[293, 283])).
% 12.53/12.77 tff(295,plain,
% 12.53/12.77 (![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))))))))))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[294, 278])).
% 12.53/12.77 tff(296,plain,
% 12.53/12.77 ((~![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_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0))))))))))),
% 12.53/12.77 inference(quant_inst,[status(thm)],[])).
% 12.53/12.77 tff(297,plain,
% 12.53/12.77 (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0)))))))))),
% 12.53/12.77 inference(unit_resolution,[status(thm)],[296, 295])).
% 12.53/12.77 tff(298,plain,
% 12.53/12.77 (((~(next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0))))))))) | ((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0)))))))),
% 12.53/12.77 inference(tautology,[status(thm)],[])).
% 12.53/12.77 tff(299,plain,
% 12.53/12.77 ((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0))))))),
% 12.53/12.77 inference(unit_resolution,[status(thm)],[298, 297])).
% 12.53/12.77 tff(300,plain,
% 12.53/12.77 (^[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), tptp2) | 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), tptp2) | 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))))))),
% 12.53/12.77 inference(bind,[status(th)],[])).
% 12.53/12.77 tff(301,plain,
% 12.53/12.77 (![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), tptp2) | 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), tptp2) | 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)))))),
% 12.53/12.77 inference(quant_intro,[status(thm)],[300])).
% 12.53/12.77 tff(302,plain,
% 12.53/12.77 (^[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), tptp2) | 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), tptp2) | 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))))))),
% 12.53/12.77 inference(bind,[status(th)],[])).
% 12.53/12.77 tff(303,plain,
% 12.53/12.77 (![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), tptp2) | 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), tptp2) | 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)))))),
% 12.53/12.77 inference(quant_intro,[status(thm)],[302])).
% 12.53/12.77 tff(304,plain,
% 12.53/12.77 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | 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, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 12.53/12.77 inference(rewrite,[status(thm)],[])).
% 12.53/12.77 tff(305,plain,
% 12.53/12.77 (^[X101: $i] : trans(monotonicity(quant_intro(proof_bind(^[X102: $i, X103: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2)) <=> (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))), (((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) <=> ((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))))), rewrite(((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)))), (((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))))), ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) <=> ((occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))) & leaf_occ(X103, X101)))), rewrite(((occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))) & leaf_occ(X103, X101)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101))), ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)))), (((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> ((occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | 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, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | 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) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | 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) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | 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) | occurrence_of(X103, tptp2))) & 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, tptp2) | 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, tptp2) | 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, tptp2) | 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) | occurrence_of(X103, tptp2))) & 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, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))))),
% 12.53/12.77 inference(bind,[status(th)],[])).
% 12.53/12.77 tff(306,plain,
% 12.53/12.77 (![X101: $i] : (occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & 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, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 12.53/12.77 inference(quant_intro,[status(thm)],[305])).
% 12.53/12.77 tff(307,axiom,(![X101: $i] : (occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_32')).
% 12.53/12.77 tff(308,plain,
% 12.53/12.77 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[307, 306])).
% 12.53/12.77 tff(309,plain,
% 12.53/12.77 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[308, 304])).
% 12.53/12.77 tff(310,plain,(
% 12.53/12.77 ![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), tptp2) | 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)))),
% 12.53/12.77 inference(skolemize,[status(sab)],[309])).
% 12.53/12.77 tff(311,plain,
% 12.53/12.77 (![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), tptp2) | 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)))))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[310, 303])).
% 12.53/12.77 tff(312,plain,
% 12.53/12.77 (![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), tptp2) | 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)))))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[311, 301])).
% 12.53/12.77 tff(313,plain,
% 12.53/12.77 (((~![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), tptp2) | 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(tptp0, X134!19), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), 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), tptp2) | 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(tptp0, X134!19), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)))))),
% 12.53/12.77 inference(rewrite,[status(thm)],[])).
% 12.53/12.77 tff(314,plain,
% 12.53/12.77 ((~![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), tptp2) | 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(tptp0, X134!19), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)))))),
% 12.53/12.77 inference(quant_inst,[status(thm)],[])).
% 12.53/12.77 tff(315,plain,
% 12.53/12.77 ((~![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), tptp2) | 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(tptp0, X134!19), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0))))),
% 12.53/12.77 inference(modus_ponens,[status(thm)],[314, 313])).
% 12.53/12.77 tff(316,plain,
% 12.53/12.77 (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)))),
% 12.53/12.77 inference(unit_resolution,[status(thm)],[315, 312, 253])).
% 12.53/12.77 tff(317,plain,
% 12.53/12.77 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)),
% 12.53/12.77 inference(tautology,[status(thm)],[])).
% 12.53/12.77 tff(318,plain,
% 12.53/12.77 (next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)),
% 12.53/12.77 inference(unit_resolution,[status(thm)],[317, 316])).
% 12.53/12.77 tff(319,plain,
% 12.53/12.77 ((~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0)))))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0))))))),
% 12.53/12.77 inference(tautology,[status(thm)],[])).
% 12.53/12.77 tff(320,plain,
% 12.53/12.77 ((~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0)))))))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0))))))),
% 12.53/12.77 inference(unit_resolution,[status(thm)],[319, 318])).
% 12.53/12.78 tff(321,plain,
% 12.53/12.78 (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0)))))),
% 12.53/12.78 inference(unit_resolution,[status(thm)],[320, 299])).
% 12.53/12.78 tff(322,plain,
% 12.53/12.78 (((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), X81, tptp0))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)),
% 12.53/12.78 inference(tautology,[status(thm)],[])).
% 12.53/12.78 tff(323,plain,
% 12.53/12.78 (min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0)),
% 12.53/12.78 inference(unit_resolution,[status(thm)],[322, 321])).
% 12.53/12.78 tff(324,plain,
% 12.53/12.78 (min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[323, 276])).
% 12.53/12.78 tff(325,plain,
% 12.53/12.78 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp0))) | leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))),
% 12.53/12.78 inference(tautology,[status(thm)],[])).
% 12.53/12.78 tff(326,plain,
% 12.53/12.78 (leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))),
% 12.53/12.78 inference(unit_resolution,[status(thm)],[325, 316])).
% 12.53/12.78 tff(327,plain,
% 12.53/12.78 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 12.53/12.78 inference(rewrite,[status(thm)],[])).
% 12.53/12.78 tff(328,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 12.53/12.78 tff(329,plain,
% 12.53/12.78 (~atomic(tptp0)),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[328, 327])).
% 12.53/12.78 tff(330,plain,
% 12.53/12.78 (^[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))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(331,plain,
% 12.53/12.78 (![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)))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[330])).
% 12.53/12.78 tff(332,plain,
% 12.53/12.78 (^[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)))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(333,plain,
% 12.53/12.78 (![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)))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[332])).
% 12.53/12.78 tff(334,plain,
% 12.53/12.78 (![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))),
% 12.53/12.78 inference(rewrite,[status(thm)],[])).
% 12.53/12.78 tff(335,plain,
% 12.53/12.78 (^[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))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(336,plain,
% 12.53/12.78 (![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))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[335])).
% 12.53/12.78 tff(337,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')).
% 12.53/12.78 tff(338,plain,
% 12.53/12.78 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[337, 336])).
% 12.53/12.78 tff(339,plain,
% 12.53/12.78 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[338, 334])).
% 12.53/12.78 tff(340,plain,(
% 12.53/12.78 ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 12.53/12.78 inference(skolemize,[status(sab)],[339])).
% 12.53/12.78 tff(341,plain,
% 12.53/12.78 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[340, 333])).
% 12.53/12.78 tff(342,plain,
% 12.53/12.78 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[341, 331])).
% 12.53/12.78 tff(343,plain,
% 12.53/12.78 (((~![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(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19))))) <=> ((~![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(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19))))),
% 12.53/12.78 inference(rewrite,[status(thm)],[])).
% 12.53/12.78 tff(344,plain,
% 12.53/12.78 ((atomic(tptp0) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19))))),
% 12.53/12.78 inference(rewrite,[status(thm)],[])).
% 12.53/12.78 tff(345,plain,
% 12.53/12.78 (((~![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(tptp0) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))))) <=> ((~![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(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)))))),
% 12.53/12.78 inference(monotonicity,[status(thm)],[344])).
% 12.53/12.78 tff(346,plain,
% 12.53/12.78 (((~![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(tptp0) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))))) <=> ((~![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(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19))))),
% 12.53/12.78 inference(transitivity,[status(thm)],[345, 343])).
% 12.53/12.78 tff(347,plain,
% 12.53/12.78 ((~![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(tptp0) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))))),
% 12.53/12.78 inference(quant_inst,[status(thm)],[])).
% 12.53/12.78 tff(348,plain,
% 12.53/12.78 ((~![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(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X27_3(tptp0, X134!19))) | (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[347, 346])).
% 12.53/12.78 tff(349,plain,
% 12.53/12.78 (X134!19 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19))),
% 12.53/12.78 inference(unit_resolution,[status(thm)],[348, 342, 329, 253, 246, 326])).
% 12.53/12.78 tff(350,plain,
% 12.53/12.78 (tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)) = X134!19),
% 12.53/12.78 inference(symmetry,[status(thm)],[349])).
% 12.53/12.78 tff(351,plain,
% 12.53/12.78 (root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)) <=> root(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.78 inference(monotonicity,[status(thm)],[350])).
% 12.53/12.78 tff(352,plain,
% 12.53/12.78 (root(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)) <=> root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.78 inference(symmetry,[status(thm)],[351])).
% 12.53/12.78 tff(353,plain,
% 12.53/12.78 (root(X134!19, tptp0) <=> root(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.78 inference(monotonicity,[status(thm)],[273])).
% 12.53/12.78 tff(354,plain,
% 12.53/12.78 ((atomic(tptp0) | atomic(X133!20) | (~activity(X133!20)) | (~root(X134!19, tptp0))) | root(X134!19, tptp0)),
% 12.53/12.78 inference(tautology,[status(thm)],[])).
% 12.53/12.78 tff(355,plain,
% 12.53/12.78 (root(X134!19, tptp0)),
% 12.53/12.78 inference(unit_resolution,[status(thm)],[354, 88])).
% 12.53/12.78 tff(356,plain,
% 12.53/12.78 (root(X134!19, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[355, 353])).
% 12.53/12.78 tff(357,plain,
% 12.53/12.78 (root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[356, 352])).
% 12.53/12.78 tff(358,plain,
% 12.53/12.78 (^[X65: $i, X66: $i, X67: $i] : refl(((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(359,plain,
% 12.53/12.78 (![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)))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[358])).
% 12.53/12.78 tff(360,plain,
% 12.53/12.78 (![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)))),
% 12.53/12.78 inference(rewrite,[status(thm)],[])).
% 12.53/12.78 tff(361,plain,
% 12.53/12.78 (^[X65: $i, X66: $i, X67: $i] : rewrite((min_precedes(X65, X66, X67) => (~root(X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(362,plain,
% 12.53/12.78 (![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)))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[361])).
% 12.53/12.78 tff(363,axiom,(![X65: $i, X66: $i, X67: $i] : (min_precedes(X65, X66, X67) => (~root(X66, X67)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_22')).
% 12.53/12.78 tff(364,plain,
% 12.53/12.78 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[363, 362])).
% 12.53/12.78 tff(365,plain,
% 12.53/12.78 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[364, 360])).
% 12.53/12.78 tff(366,plain,(
% 12.53/12.78 ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 12.53/12.78 inference(skolemize,[status(sab)],[365])).
% 12.53/12.78 tff(367,plain,
% 12.53/12.78 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[366, 359])).
% 12.53/12.78 tff(368,plain,
% 12.53/12.78 (((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))) <=> ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))),
% 12.53/12.78 inference(rewrite,[status(thm)],[])).
% 12.53/12.78 tff(369,plain,
% 12.53/12.78 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))))),
% 12.53/12.78 inference(quant_inst,[status(thm)],[])).
% 12.53/12.78 tff(370,plain,
% 12.53/12.78 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[369, 368])).
% 12.53/12.78 tff(371,plain,
% 12.53/12.78 ((~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X134!19)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X134!19), X134!19)))),
% 12.53/12.78 inference(unit_resolution,[status(thm)],[370, 367])).
% 12.53/12.78 tff(372,plain,
% 12.53/12.78 ($false),
% 12.53/12.78 inference(unit_resolution,[status(thm)],[371, 357, 324])).
% 12.53/12.78 tff(373,plain,((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)))), inference(lemma,lemma(discharge,[]))).
% 12.53/12.78 tff(374,assumption,(leaf(X134!19, tptp0)), introduced(assumption)).
% 12.53/12.78 tff(375,plain,
% 12.53/12.78 (^[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)))))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(376,plain,
% 12.53/12.78 (![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))))))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[375])).
% 12.53/12.78 tff(377,plain,
% 12.53/12.78 (^[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))))))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(378,plain,
% 12.53/12.78 (![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))))))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[377])).
% 12.53/12.78 tff(379,plain,
% 12.53/12.78 (![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)))),
% 12.53/12.78 inference(rewrite,[status(thm)],[])).
% 12.53/12.78 tff(380,plain,
% 12.53/12.78 (^[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))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(381,plain,
% 12.53/12.78 (![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)))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[380])).
% 12.53/12.78 tff(382,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')).
% 12.53/12.78 tff(383,plain,
% 12.53/12.78 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[382, 381])).
% 12.53/12.78 tff(384,plain,
% 12.53/12.78 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[383, 379])).
% 12.53/12.78 tff(385,plain,(
% 12.53/12.78 ![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))))),
% 12.53/12.78 inference(skolemize,[status(sab)],[384])).
% 12.53/12.78 tff(386,plain,
% 12.53/12.78 (![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))))))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[385, 378])).
% 12.53/12.78 tff(387,plain,
% 12.53/12.78 (![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))))))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[386, 376])).
% 12.53/12.78 tff(388,plain,
% 12.53/12.78 (((~![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(tptp0) | (~leaf(X134!19, tptp0)) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))))))) <=> ((~![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(tptp0) | (~leaf(X134!19, tptp0)) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))))))),
% 12.53/12.78 inference(rewrite,[status(thm)],[])).
% 12.53/12.78 tff(389,plain,
% 12.53/12.78 ((~![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(tptp0) | (~leaf(X134!19, tptp0)) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19))))))),
% 12.53/12.78 inference(quant_inst,[status(thm)],[])).
% 12.53/12.78 tff(390,plain,
% 12.53/12.78 ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | atomic(tptp0) | (~leaf(X134!19, tptp0)) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X134!19), tptp0)) | (~leaf_occ(X134!19, tptp_fun_X27_3(tptp0, X134!19)))))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[389, 388])).
% 12.53/12.78 tff(391,plain,
% 12.53/12.78 ($false),
% 12.53/12.78 inference(unit_resolution,[status(thm)],[390, 387, 329, 374, 373])).
% 12.53/12.78 tff(392,plain,(~leaf(X134!19, tptp0)), inference(lemma,lemma(discharge,[]))).
% 12.53/12.78 tff(393,plain,
% 12.53/12.78 (^[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))))))))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(394,plain,
% 12.53/12.78 (![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)))))))))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[393])).
% 12.53/12.78 tff(395,plain,
% 12.53/12.78 (^[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))))))))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(396,plain,
% 12.53/12.78 (![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)))))))))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[395])).
% 12.53/12.78 tff(397,plain,
% 12.53/12.78 (![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)))))))))),
% 12.53/12.78 inference(transitivity,[status(thm)],[396, 394])).
% 12.53/12.78 tff(398,plain,
% 12.53/12.78 (^[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)))))))))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(399,plain,
% 12.53/12.78 (![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)))))))))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[398])).
% 12.53/12.78 tff(400,plain,
% 12.53/12.78 (^[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))))),
% 12.53/12.78 inference(bind,[status(th)],[])).
% 12.53/12.78 tff(401,plain,
% 12.53/12.78 (![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)))),
% 12.53/12.78 inference(quant_intro,[status(thm)],[400])).
% 12.53/12.78 tff(402,plain,
% 12.53/12.78 (![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))))),
% 12.53/12.78 inference(rewrite,[status(thm)],[])).
% 12.53/12.78 tff(403,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')).
% 12.53/12.78 tff(404,plain,
% 12.53/12.78 (![X47: $i, X48: $i] : (leaf(X47, X48) <=> ((root(X47, X48) | ?[X49: $i] : min_precedes(X49, X47, X48)) & (~?[X50: $i] : min_precedes(X47, X50, X48))))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[403, 402])).
% 12.53/12.78 tff(405,plain,(
% 12.53/12.78 ![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))))),
% 12.53/12.78 inference(skolemize,[status(sab)],[404])).
% 12.53/12.78 tff(406,plain,
% 12.53/12.78 (![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)))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[405, 401])).
% 12.53/12.78 tff(407,plain,
% 12.53/12.78 (![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)))))))))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[406, 399])).
% 12.53/12.78 tff(408,plain,
% 12.53/12.78 (![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)))))))))),
% 12.53/12.78 inference(modus_ponens,[status(thm)],[407, 397])).
% 12.53/12.78 tff(409,plain,
% 12.53/12.78 (((~![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(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0)))))) <=> ((~![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(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0))))))),
% 12.62/12.78 inference(rewrite,[status(thm)],[])).
% 12.62/12.78 tff(410,plain,
% 12.62/12.78 ((~((~((~leaf(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~(leaf(X134!19, tptp0) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | (~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))))))) <=> (~((~((~leaf(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0)))))),
% 12.62/12.78 inference(rewrite,[status(thm)],[])).
% 12.62/12.78 tff(411,plain,
% 12.62/12.78 (((~![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(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~(leaf(X134!19, tptp0) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | (~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0)))))))))) <=> ((~![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(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0))))))),
% 12.62/12.78 inference(monotonicity,[status(thm)],[410])).
% 12.62/12.78 tff(412,plain,
% 12.62/12.78 (((~![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(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~(leaf(X134!19, tptp0) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | (~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0)))))))))) <=> ((~![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(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0))))))),
% 12.62/12.79 inference(transitivity,[status(thm)],[411, 409])).
% 12.62/12.79 tff(413,plain,
% 12.62/12.79 ((~![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(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~(leaf(X134!19, tptp0) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | (~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0)))))))))),
% 12.62/12.79 inference(quant_inst,[status(thm)],[])).
% 12.62/12.79 tff(414,plain,
% 12.62/12.79 ((~![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(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0)))))),
% 12.62/12.79 inference(modus_ponens,[status(thm)],[413, 412])).
% 12.62/12.79 tff(415,plain,
% 12.62/12.79 (~((~((~leaf(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0))))),
% 12.62/12.79 inference(unit_resolution,[status(thm)],[414, 408])).
% 12.62/12.79 tff(416,plain,
% 12.62/12.79 (((~((~leaf(X134!19, tptp0)) | (~((~(root(X134!19, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X134!19), X134!19, tptp0))) | (~![X50: $i] : (~min_precedes(X134!19, X50, tptp0))))))) | (~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0)))) | ((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0))),
% 12.62/12.79 inference(tautology,[status(thm)],[])).
% 12.62/12.79 tff(417,plain,
% 12.62/12.79 ((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0)),
% 12.62/12.79 inference(unit_resolution,[status(thm)],[416, 415])).
% 12.62/12.79 tff(418,plain,
% 12.62/12.79 ((root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0)))) | (~root(X134!19, tptp0))),
% 12.62/12.79 inference(tautology,[status(thm)],[])).
% 12.62/12.79 tff(419,plain,
% 12.62/12.79 (root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0)))),
% 12.62/12.79 inference(unit_resolution,[status(thm)],[418, 355])).
% 12.62/12.79 tff(420,plain,
% 12.62/12.79 ((~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0))) | (~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0)),
% 12.62/12.79 inference(tautology,[status(thm)],[])).
% 12.62/12.79 tff(421,plain,
% 12.62/12.79 ((~((~(root(X134!19, tptp0) | (~![X49: $i] : (~min_precedes(X49, X134!19, tptp0))))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0))) | min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0)),
% 12.62/12.79 inference(unit_resolution,[status(thm)],[420, 419])).
% 12.62/12.79 tff(422,plain,
% 12.62/12.79 (min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0) | leaf(X134!19, tptp0)),
% 12.62/12.79 inference(unit_resolution,[status(thm)],[421, 417])).
% 12.62/12.79 tff(423,plain,
% 12.62/12.79 (min_precedes(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0)),
% 12.62/12.79 inference(unit_resolution,[status(thm)],[422, 392])).
% 12.62/12.79 tff(424,plain,
% 12.62/12.79 (^[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)))))))),
% 12.62/12.79 inference(bind,[status(th)],[])).
% 12.62/12.79 tff(425,plain,
% 12.62/12.79 (![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))))))),
% 12.62/12.79 inference(quant_intro,[status(thm)],[424])).
% 12.62/12.79 tff(426,plain,
% 12.62/12.79 (^[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)))))))),
% 12.62/12.79 inference(bind,[status(th)],[])).
% 12.62/12.79 tff(427,plain,
% 12.62/12.79 (![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))))))),
% 12.62/12.79 inference(quant_intro,[status(thm)],[426])).
% 12.62/12.79 tff(428,plain,
% 12.62/12.79 (![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)))),
% 12.62/12.79 inference(rewrite,[status(thm)],[])).
% 12.62/12.79 tff(429,plain,
% 12.62/12.79 (^[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)))))),
% 12.62/12.79 inference(bind,[status(th)],[])).
% 12.62/12.79 tff(430,plain,
% 12.62/12.79 (![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)))),
% 12.62/12.79 inference(quant_intro,[status(thm)],[429])).
% 12.62/12.79 tff(431,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')).
% 12.62/12.79 tff(432,plain,
% 12.62/12.79 (![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)))),
% 12.62/12.79 inference(modus_ponens,[status(thm)],[431, 430])).
% 12.62/12.79 tff(433,plain,
% 12.62/12.79 (![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)))),
% 12.62/12.79 inference(modus_ponens,[status(thm)],[432, 428])).
% 12.62/12.79 tff(434,plain,(
% 12.62/12.79 ![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))))),
% 12.62/12.79 inference(skolemize,[status(sab)],[433])).
% 12.62/12.79 tff(435,plain,
% 12.62/12.79 (![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))))))),
% 12.62/12.79 inference(modus_ponens,[status(thm)],[434, 427])).
% 12.62/12.79 tff(436,plain,
% 12.62/12.79 (![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))))))),
% 12.62/12.79 inference(modus_ponens,[status(thm)],[435, 425])).
% 12.62/12.79 tff(437,plain,
% 12.62/12.79 (((~![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(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![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(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.63/12.79 inference(rewrite,[status(thm)],[])).
% 12.63/12.79 tff(438,plain,
% 12.63/12.79 ((~![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(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.63/12.79 inference(quant_inst,[status(thm)],[])).
% 12.63/12.79 tff(439,plain,
% 12.63/12.79 ((~![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(X134!19, tptp_fun_X50_7(tptp0, X134!19), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[438, 437])).
% 12.63/12.79 tff(440,plain,
% 12.63/12.79 (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[439, 436, 423])).
% 12.63/12.79 tff(441,plain,
% 12.63/12.79 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.63/12.79 inference(tautology,[status(thm)],[])).
% 12.63/12.79 tff(442,plain,
% 12.63/12.79 (subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[441, 440])).
% 12.63/12.79 tff(443,plain,
% 12.63/12.79 (^[X39: $i, X40: $i] : refl(((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39))))) <=> ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39))))))),
% 12.63/12.79 inference(bind,[status(th)],[])).
% 12.63/12.79 tff(444,plain,
% 12.63/12.79 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39))))) <=> ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))),
% 12.63/12.79 inference(quant_intro,[status(thm)],[443])).
% 12.63/12.79 tff(445,plain,
% 12.63/12.79 (^[X39: $i, X40: $i] : rewrite(((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40))) <=> ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39))))))),
% 12.63/12.79 inference(bind,[status(th)],[])).
% 12.63/12.79 tff(446,plain,
% 12.63/12.79 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40))) <=> ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))),
% 12.63/12.79 inference(quant_intro,[status(thm)],[445])).
% 12.63/12.79 tff(447,plain,
% 12.63/12.79 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40))) <=> ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 12.63/12.79 inference(rewrite,[status(thm)],[])).
% 12.63/12.79 tff(448,plain,
% 12.63/12.79 (^[X39: $i, X40: $i] : rewrite((subactivity_occurrence(X39, X40) => (activity_occurrence(X39) & activity_occurrence(X40))) <=> ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40))))),
% 12.63/12.79 inference(bind,[status(th)],[])).
% 12.63/12.79 tff(449,plain,
% 12.63/12.79 (![X39: $i, X40: $i] : (subactivity_occurrence(X39, X40) => (activity_occurrence(X39) & activity_occurrence(X40))) <=> ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 12.63/12.79 inference(quant_intro,[status(thm)],[448])).
% 12.63/12.79 tff(450,axiom,(![X39: $i, X40: $i] : (subactivity_occurrence(X39, X40) => (activity_occurrence(X39) & activity_occurrence(X40)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_11')).
% 12.63/12.79 tff(451,plain,
% 12.63/12.79 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[450, 449])).
% 12.63/12.79 tff(452,plain,
% 12.63/12.79 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[451, 447])).
% 12.63/12.79 tff(453,plain,(
% 12.63/12.79 ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 12.63/12.79 inference(skolemize,[status(sab)],[452])).
% 12.63/12.79 tff(454,plain,
% 12.63/12.79 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[453, 446])).
% 12.63/12.79 tff(455,plain,
% 12.63/12.79 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[454, 444])).
% 12.63/12.79 tff(456,plain,
% 12.63/12.79 (((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.63/12.79 inference(rewrite,[status(thm)],[])).
% 12.63/12.79 tff(457,plain,
% 12.63/12.79 (((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19)))))) <=> ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.63/12.79 inference(rewrite,[status(thm)],[])).
% 12.63/12.79 tff(458,plain,
% 12.63/12.79 (((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))))))) <=> ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.63/12.79 inference(monotonicity,[status(thm)],[457])).
% 12.63/12.79 tff(459,plain,
% 12.63/12.79 (((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))))))) <=> ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.63/12.79 inference(transitivity,[status(thm)],[458, 456])).
% 12.63/12.79 tff(460,plain,
% 12.63/12.79 ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))))))),
% 12.63/12.79 inference(quant_inst,[status(thm)],[])).
% 12.63/12.79 tff(461,plain,
% 12.63/12.79 ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[460, 459])).
% 12.63/12.79 tff(462,plain,
% 12.63/12.79 (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[461, 455, 442])).
% 12.63/12.79 tff(463,plain,
% 12.63/12.79 (((~activity_occurrence(tptp_fun_X50_7(tptp0, X134!19))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.63/12.79 inference(tautology,[status(thm)],[])).
% 12.63/12.79 tff(464,plain,
% 12.63/12.79 (activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[463, 462])).
% 12.63/12.79 tff(465,plain,
% 12.63/12.79 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.63/12.79 inference(rewrite,[status(thm)],[])).
% 12.63/12.79 tff(466,plain,
% 12.63/12.79 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.63/12.79 inference(quant_inst,[status(thm)],[])).
% 12.63/12.79 tff(467,plain,
% 12.63/12.79 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[466, 465])).
% 12.63/12.79 tff(468,plain,
% 12.63/12.79 (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[467, 43, 464])).
% 12.63/12.79 tff(469,plain,
% 12.63/12.79 (((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.63/12.79 inference(tautology,[status(thm)],[])).
% 12.63/12.79 tff(470,plain,
% 12.63/12.79 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[469, 468])).
% 12.63/12.79 tff(471,plain,
% 12.63/12.79 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.63/12.79 inference(rewrite,[status(thm)],[])).
% 12.63/12.79 tff(472,plain,
% 12.63/12.79 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.63/12.79 inference(quant_inst,[status(thm)],[])).
% 12.63/12.79 tff(473,plain,
% 12.63/12.79 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[472, 471])).
% 12.63/12.79 tff(474,plain,
% 12.63/12.79 (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[473, 59, 470])).
% 12.63/12.79 tff(475,plain,
% 12.63/12.79 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)),
% 12.63/12.79 inference(tautology,[status(thm)],[])).
% 12.63/12.79 tff(476,plain,
% 12.63/12.79 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[475, 440])).
% 12.63/12.79 tff(477,plain,
% 12.63/12.79 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp0)))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp0)))),
% 12.63/12.79 inference(rewrite,[status(thm)],[])).
% 12.63/12.79 tff(478,plain,
% 12.63/12.79 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp0)))),
% 12.63/12.79 inference(quant_inst,[status(thm)],[])).
% 12.63/12.79 tff(479,plain,
% 12.63/12.79 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp0))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[478, 477])).
% 12.63/12.79 tff(480,plain,
% 12.63/12.79 (arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp0)),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[479, 59, 476])).
% 12.63/12.79 tff(481,plain,
% 12.63/12.79 ((~(arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp0))) | (~arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | atomic(tptp0)),
% 12.63/12.79 inference(tautology,[status(thm)],[])).
% 12.63/12.79 tff(482,plain,
% 12.63/12.79 ((~(arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp0))) | (~arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[481, 329])).
% 12.63/12.79 tff(483,plain,
% 12.63/12.79 (~arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[482, 480])).
% 12.63/12.79 tff(484,plain,
% 12.63/12.79 ((~(arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | (~atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.63/12.79 inference(tautology,[status(thm)],[])).
% 12.63/12.79 tff(485,plain,
% 12.63/12.79 ((~(arboreal(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[484, 483])).
% 12.63/12.79 tff(486,plain,
% 12.63/12.79 (~atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.63/12.79 inference(unit_resolution,[status(thm)],[485, 474])).
% 12.63/12.79 tff(487,plain,
% 12.63/12.79 (((~![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(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![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(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.63/12.79 inference(rewrite,[status(thm)],[])).
% 12.63/12.79 tff(488,plain,
% 12.63/12.79 ((~![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(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.63/12.79 inference(quant_inst,[status(thm)],[])).
% 12.63/12.79 tff(489,plain,
% 12.63/12.79 ((~![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(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.63/12.79 inference(modus_ponens,[status(thm)],[488, 487])).
% 12.63/12.79 tff(490,plain,
% 12.63/12.79 (atomic(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.63/12.80 inference(unit_resolution,[status(thm)],[489, 108, 470])).
% 12.63/12.80 tff(491,plain,
% 12.63/12.80 (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.63/12.80 inference(unit_resolution,[status(thm)],[490, 486])).
% 12.63/12.80 tff(492,plain,
% 12.63/12.80 (((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.63/12.80 inference(tautology,[status(thm)],[])).
% 12.63/12.80 tff(493,plain,
% 12.63/12.80 (subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.63/12.80 inference(unit_resolution,[status(thm)],[492, 491])).
% 12.63/12.80 tff(494,plain,
% 12.63/12.80 (((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.63/12.80 inference(tautology,[status(thm)],[])).
% 12.63/12.80 tff(495,plain,
% 12.63/12.80 (root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.63/12.80 inference(unit_resolution,[status(thm)],[494, 491])).
% 12.63/12.80 tff(496,plain,
% 12.63/12.80 (((~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.63/12.80 inference(rewrite,[status(thm)],[])).
% 12.63/12.80 tff(497,plain,
% 12.63/12.80 ((~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.63/12.80 inference(quant_inst,[status(thm)],[])).
% 12.63/12.80 tff(498,plain,
% 12.63/12.80 ((~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.63/12.80 inference(modus_ponens,[status(thm)],[497, 496])).
% 12.63/12.80 tff(499,plain,
% 12.63/12.80 ($false),
% 12.63/12.80 inference(unit_resolution,[status(thm)],[498, 470, 495, 493, 218])).
% 12.63/12.80 tff(500,plain,(~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))), inference(lemma,lemma(discharge,[]))).
% 12.63/12.80 tff(501,plain,
% 12.63/12.80 (((~![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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))))) <=> ((~![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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))))))),
% 12.64/12.80 inference(rewrite,[status(thm)],[])).
% 12.64/12.80 tff(502,plain,
% 12.64/12.80 ((~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))))) <=> (~((~(root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))))),
% 12.64/12.80 inference(rewrite,[status(thm)],[])).
% 12.64/12.80 tff(503,plain,
% 12.64/12.80 (((~![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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), 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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))))))),
% 12.64/12.80 inference(monotonicity,[status(thm)],[502])).
% 12.64/12.80 tff(504,plain,
% 12.64/12.80 (((~![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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), 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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))))))),
% 12.64/12.81 inference(transitivity,[status(thm)],[503, 501])).
% 12.64/12.81 tff(505,plain,
% 12.64/12.81 ((~![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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))))))),
% 12.64/12.81 inference(quant_inst,[status(thm)],[])).
% 12.64/12.81 tff(506,plain,
% 12.64/12.81 ((~![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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))))),
% 12.64/12.81 inference(modus_ponens,[status(thm)],[505, 504])).
% 12.64/12.81 tff(507,plain,
% 12.64/12.81 (~((~(root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))))),
% 12.65/12.81 inference(unit_resolution,[status(thm)],[506, 141])).
% 12.65/12.81 tff(508,plain,
% 12.65/12.81 (((~(root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))) | (root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))),
% 12.65/12.81 inference(tautology,[status(thm)],[])).
% 12.65/12.81 tff(509,plain,
% 12.65/12.81 (root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))),
% 12.65/12.81 inference(unit_resolution,[status(thm)],[508, 507])).
% 12.65/12.81 tff(510,plain,
% 12.65/12.81 ((~(root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60))))) | root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))),
% 12.65/12.81 inference(tautology,[status(thm)],[])).
% 12.65/12.81 tff(511,plain,
% 12.65/12.81 (root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)))),
% 12.65/12.81 inference(unit_resolution,[status(thm)],[510, 509])).
% 12.65/12.81 tff(512,plain,
% 12.65/12.81 (root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.65/12.81 inference(unit_resolution,[status(thm)],[511, 500])).
% 12.65/12.81 tff(513,plain,
% 12.65/12.81 (^[X35: $i, X36: $i, X37: $i] : rewrite((![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35))) <=> ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37))))),
% 12.65/12.81 inference(bind,[status(th)],[])).
% 12.65/12.81 tff(514,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35))) <=> ![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))),
% 12.65/12.81 inference(quant_intro,[status(thm)],[513])).
% 12.65/12.81 tff(515,plain,
% 12.65/12.81 (^[X35: $i, X36: $i, X37: $i] : refl((![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35))) <=> (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35))))),
% 12.65/12.81 inference(bind,[status(th)],[])).
% 12.65/12.81 tff(516,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35))) <=> ![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35)))),
% 12.65/12.81 inference(quant_intro,[status(thm)],[515])).
% 12.65/12.81 tff(517,plain,
% 12.65/12.81 (^[X35: $i, X36: $i, X37: $i] : rewrite((![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35))) <=> (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35))))),
% 12.65/12.81 inference(bind,[status(th)],[])).
% 12.65/12.81 tff(518,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35))) <=> ![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35)))),
% 12.65/12.81 inference(quant_intro,[status(thm)],[517])).
% 12.65/12.81 tff(519,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35))) <=> ![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35)))),
% 12.65/12.81 inference(transitivity,[status(thm)],[518, 516])).
% 12.65/12.81 tff(520,plain,
% 12.65/12.81 (^[X35: $i, X36: $i, X37: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X35, X37) & root_occ(X36, X35)) <=> (~((~occurrence_of(X35, X37)) | (~root_occ(X36, X35))))), ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) <=> (~(~((~occurrence_of(X35, X37)) | (~root_occ(X36, X35))))))), rewrite((~(~((~occurrence_of(X35, X37)) | (~root_occ(X36, X35))))) <=> ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)))), ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) <=> ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35))))), (((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | ![X38: $i] : (~min_precedes(X38, X36, X37))) <=> (((~occurrence_of(X35, X37)) | (~root_occ(X36, X35))) | ![X38: $i] : (~min_precedes(X38, X36, X37))))), rewrite((((~occurrence_of(X35, X37)) | (~root_occ(X36, X35))) | ![X38: $i] : (~min_precedes(X38, X36, X37))) <=> (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35)))), (((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | ![X38: $i] : (~min_precedes(X38, X36, X37))) <=> (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35)))))),
% 12.65/12.81 inference(bind,[status(th)],[])).
% 12.65/12.81 tff(521,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | ![X38: $i] : (~min_precedes(X38, X36, X37))) <=> ![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35)))),
% 12.65/12.81 inference(quant_intro,[status(thm)],[520])).
% 12.65/12.81 tff(522,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | (~?[X38: $i] : min_precedes(X38, X36, X37))) <=> ![X35: $i, X36: $i, X37: $i] : ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | (~?[X38: $i] : min_precedes(X38, X36, X37)))),
% 12.65/12.81 inference(rewrite,[status(thm)],[])).
% 12.65/12.81 tff(523,plain,
% 12.65/12.81 (^[X35: $i, X36: $i, X37: $i] : trans(monotonicity(rewrite((~?[X38: $i] : min_precedes(X38, X36, X37)) <=> (~?[X38: $i] : min_precedes(X38, X36, X37))), (((occurrence_of(X35, X37) & root_occ(X36, X35)) => (~?[X38: $i] : min_precedes(X38, X36, X37))) <=> ((occurrence_of(X35, X37) & root_occ(X36, X35)) => (~?[X38: $i] : min_precedes(X38, X36, X37))))), rewrite(((occurrence_of(X35, X37) & root_occ(X36, X35)) => (~?[X38: $i] : min_precedes(X38, X36, X37))) <=> ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | (~?[X38: $i] : min_precedes(X38, X36, X37)))), (((occurrence_of(X35, X37) & root_occ(X36, X35)) => (~?[X38: $i] : min_precedes(X38, X36, X37))) <=> ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | (~?[X38: $i] : min_precedes(X38, X36, X37)))))),
% 12.65/12.81 inference(bind,[status(th)],[])).
% 12.65/12.81 tff(524,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : ((occurrence_of(X35, X37) & root_occ(X36, X35)) => (~?[X38: $i] : min_precedes(X38, X36, X37))) <=> ![X35: $i, X36: $i, X37: $i] : ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | (~?[X38: $i] : min_precedes(X38, X36, X37)))),
% 12.65/12.81 inference(quant_intro,[status(thm)],[523])).
% 12.65/12.81 tff(525,axiom,(![X35: $i, X36: $i, X37: $i] : ((occurrence_of(X35, X37) & root_occ(X36, X35)) => (~?[X38: $i] : min_precedes(X38, X36, X37)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_10')).
% 12.65/12.81 tff(526,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | (~?[X38: $i] : min_precedes(X38, X36, X37)))),
% 12.65/12.81 inference(modus_ponens,[status(thm)],[525, 524])).
% 12.65/12.81 tff(527,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | (~?[X38: $i] : min_precedes(X38, X36, X37)))),
% 12.65/12.81 inference(modus_ponens,[status(thm)],[526, 522])).
% 12.65/12.81 tff(528,plain,(
% 12.65/12.81 ![X35: $i, X36: $i, X37: $i] : ((~(occurrence_of(X35, X37) & root_occ(X36, X35))) | ![X38: $i] : (~min_precedes(X38, X36, X37)))),
% 12.65/12.81 inference(skolemize,[status(sab)],[527])).
% 12.65/12.81 tff(529,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35)))),
% 12.65/12.81 inference(modus_ponens,[status(thm)],[528, 521])).
% 12.65/12.81 tff(530,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : (![X38: $i] : (~min_precedes(X38, X36, X37)) | (~occurrence_of(X35, X37)) | (~root_occ(X36, X35)))),
% 12.65/12.81 inference(modus_ponens,[status(thm)],[529, 519])).
% 12.65/12.81 tff(531,plain,
% 12.65/12.81 (![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))),
% 12.65/12.81 inference(modus_ponens,[status(thm)],[530, 514])).
% 12.65/12.81 tff(532,plain,
% 12.65/12.81 (((~![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | ![X38: $i] : (~min_precedes(X38, tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | ![X38: $i] : (~min_precedes(X38, tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.81 inference(rewrite,[status(thm)],[])).
% 12.65/12.81 tff(533,plain,
% 12.65/12.81 ((~![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | ![X38: $i] : (~min_precedes(X38, tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.81 inference(quant_inst,[status(thm)],[])).
% 12.65/12.81 tff(534,plain,
% 12.65/12.81 ((~![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | ![X38: $i] : (~min_precedes(X38, tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.81 inference(modus_ponens,[status(thm)],[533, 532])).
% 12.65/12.81 tff(535,plain,
% 12.65/12.81 (![X38: $i] : (~min_precedes(X38, tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.81 inference(unit_resolution,[status(thm)],[534, 531, 470, 512])).
% 12.65/12.81 tff(536,plain,
% 12.65/12.81 ((~![X38: $i] : (~min_precedes(X38, tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.81 inference(quant_inst,[status(thm)],[])).
% 12.65/12.81 tff(537,plain,
% 12.65/12.81 ($false),
% 12.65/12.81 inference(unit_resolution,[status(thm)],[536, 535, 217])).
% 12.65/12.81 tff(538,plain,(~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), inference(lemma,lemma(discharge,[]))).
% 12.65/12.81 tff(539,assumption,(~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), introduced(assumption)).
% 12.65/12.81 tff(540,assumption,(min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), introduced(assumption)).
% 12.65/12.81 tff(541,assumption,(![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))), introduced(assumption)).
% 12.65/12.81 tff(542,plain,
% 12.65/12.81 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.81 inference(rewrite,[status(thm)],[])).
% 12.65/12.81 tff(543,plain,
% 12.65/12.81 (((tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.81 inference(rewrite,[status(thm)],[])).
% 12.65/12.81 tff(544,plain,
% 12.65/12.81 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.81 inference(monotonicity,[status(thm)],[543])).
% 12.65/12.81 tff(545,plain,
% 12.65/12.81 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.82 inference(transitivity,[status(thm)],[544, 542])).
% 12.65/12.82 tff(546,plain,
% 12.65/12.82 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.82 inference(quant_inst,[status(thm)],[])).
% 12.65/12.82 tff(547,plain,
% 12.65/12.82 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.82 inference(modus_ponens,[status(thm)],[546, 545])).
% 12.65/12.82 tff(548,plain,
% 12.65/12.82 (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[547, 266, 476, 470])).
% 12.65/12.82 tff(549,plain,
% 12.65/12.82 (tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) = tptp0),
% 12.65/12.82 inference(symmetry,[status(thm)],[548])).
% 12.65/12.82 tff(550,plain,
% 12.65/12.82 (root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) <=> root(X134!19, tptp0)),
% 12.65/12.82 inference(monotonicity,[status(thm)],[549])).
% 12.65/12.82 tff(551,plain,
% 12.65/12.82 (root(X134!19, tptp0) <=> root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.82 inference(symmetry,[status(thm)],[550])).
% 12.65/12.82 tff(552,plain,
% 12.65/12.82 (root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.82 inference(modus_ponens,[status(thm)],[355, 551])).
% 12.65/12.82 tff(553,assumption,(~root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), introduced(assumption)).
% 12.65/12.82 tff(554,plain,
% 12.65/12.82 ($false),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[553, 552])).
% 12.65/12.82 tff(555,plain,(root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), inference(lemma,lemma(discharge,[]))).
% 12.65/12.82 tff(556,assumption,(root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), introduced(assumption)).
% 12.65/12.82 tff(557,assumption,(![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))), introduced(assumption)).
% 12.65/12.82 tff(558,plain,
% 12.65/12.82 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X134!19), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.65/12.82 inference(tautology,[status(thm)],[])).
% 12.65/12.82 tff(559,plain,
% 12.65/12.82 (subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[558, 440])).
% 12.65/12.82 tff(560,plain,
% 12.65/12.82 (((~![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))) | ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.82 inference(rewrite,[status(thm)],[])).
% 12.65/12.82 tff(561,plain,
% 12.65/12.82 ((~![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))) | ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.82 inference(quant_inst,[status(thm)],[])).
% 12.65/12.82 tff(562,plain,
% 12.65/12.82 ((~![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.82 inference(modus_ponens,[status(thm)],[561, 560])).
% 12.65/12.82 tff(563,plain,
% 12.65/12.82 ($false),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[562, 559, 557, 470, 556])).
% 12.65/12.82 tff(564,plain,((~![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))) | (~root(X134!19, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), inference(lemma,lemma(discharge,[]))).
% 12.65/12.82 tff(565,plain,
% 12.65/12.82 (~![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[564, 555])).
% 12.65/12.82 tff(566,plain,
% 12.65/12.82 (((~![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(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, 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(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60))))))))),
% 12.65/12.82 inference(rewrite,[status(thm)],[])).
% 12.65/12.82 tff(567,plain,
% 12.65/12.82 ((~((~((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(X134!19, X60))))))) <=> (~((~((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))))))),
% 12.65/12.82 inference(rewrite,[status(thm)],[])).
% 12.65/12.82 tff(568,plain,
% 12.65/12.82 (((~![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(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(X134!19, 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(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60))))))))),
% 12.65/12.82 inference(monotonicity,[status(thm)],[567])).
% 12.65/12.82 tff(569,plain,
% 12.65/12.82 (((~![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(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(X134!19, 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(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60))))))))),
% 12.65/12.82 inference(transitivity,[status(thm)],[568, 566])).
% 12.65/12.82 tff(570,plain,
% 12.65/12.82 ((~![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(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root(X134!19, X60)))))))),
% 12.65/12.82 inference(quant_inst,[status(thm)],[])).
% 12.65/12.82 tff(571,plain,
% 12.65/12.82 ((~![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(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))))))),
% 12.65/12.82 inference(modus_ponens,[status(thm)],[570, 569])).
% 12.65/12.82 tff(572,plain,
% 12.65/12.82 (~((~((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60))))))),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[571, 141])).
% 12.65/12.82 tff(573,plain,
% 12.65/12.82 (((~((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))))) | (root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60))))),
% 12.65/12.82 inference(tautology,[status(thm)],[])).
% 12.65/12.82 tff(574,plain,
% 12.65/12.82 (root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[573, 572])).
% 12.65/12.82 tff(575,plain,
% 12.65/12.82 ((~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60))))) | root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))),
% 12.65/12.82 inference(tautology,[status(thm)],[])).
% 12.65/12.82 tff(576,plain,
% 12.65/12.82 (root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[575, 574])).
% 12.65/12.82 tff(577,plain,
% 12.65/12.82 (root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[576, 565])).
% 12.65/12.82 tff(578,assumption,(~(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19)), introduced(assumption)).
% 12.65/12.82 tff(579,assumption,(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), introduced(assumption)).
% 12.65/12.82 tff(580,plain,
% 12.65/12.82 (((~((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~(root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X60)) | (~root(X134!19, X60)))))) | ((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))),
% 12.65/12.82 inference(tautology,[status(thm)],[])).
% 12.65/12.82 tff(581,plain,
% 12.65/12.82 ((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19)))))),
% 12.65/12.82 inference(unit_resolution,[status(thm)],[580, 572])).
% 12.65/12.82 tff(582,plain,
% 12.65/12.82 ((~((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19)))))),
% 12.65/12.83 inference(tautology,[status(thm)],[])).
% 12.65/12.83 tff(583,plain,
% 12.65/12.83 ((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19)))))),
% 12.65/12.83 inference(unit_resolution,[status(thm)],[582, 581])).
% 12.65/12.83 tff(584,plain,
% 12.65/12.83 (~((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))))),
% 12.65/12.83 inference(unit_resolution,[status(thm)],[583, 579])).
% 12.65/12.83 tff(585,plain,
% 12.65/12.83 (((~subactivity_occurrence(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root(X134!19, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19)))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))),
% 12.65/12.83 inference(tautology,[status(thm)],[])).
% 12.65/12.83 tff(586,plain,
% 12.65/12.83 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))),
% 12.65/12.83 inference(unit_resolution,[status(thm)],[585, 584])).
% 12.65/12.83 tff(587,plain,
% 12.65/12.83 (((~![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_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19))) <=> ((~![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_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19))),
% 12.65/12.83 inference(rewrite,[status(thm)],[])).
% 12.65/12.83 tff(588,plain,
% 12.65/12.83 (((tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19))),
% 12.65/12.83 inference(rewrite,[status(thm)],[])).
% 12.65/12.83 tff(589,plain,
% 12.65/12.83 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) <=> ((~![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_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19)))),
% 12.65/12.83 inference(monotonicity,[status(thm)],[588])).
% 12.65/12.83 tff(590,plain,
% 12.65/12.83 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) <=> ((~![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_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19))),
% 12.65/12.83 inference(transitivity,[status(thm)],[589, 587])).
% 12.65/12.83 tff(591,plain,
% 12.65/12.83 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.83 inference(quant_inst,[status(thm)],[])).
% 12.65/12.83 tff(592,plain,
% 12.65/12.83 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), X134!19))) | (~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19)),
% 12.65/12.83 inference(modus_ponens,[status(thm)],[591, 590])).
% 12.65/12.83 tff(593,plain,
% 12.65/12.83 ($false),
% 12.65/12.83 inference(unit_resolution,[status(thm)],[592, 191, 579, 586, 512, 578])).
% 12.65/12.83 tff(594,plain,((~root_occ(X134!19, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19)), inference(lemma,lemma(discharge,[]))).
% 12.65/12.83 tff(595,plain,
% 12.65/12.83 (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = X134!19),
% 12.65/12.83 inference(unit_resolution,[status(thm)],[594, 577])).
% 12.65/12.83 tff(596,plain,
% 12.65/12.83 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))))),
% 12.65/12.83 inference(rewrite,[status(thm)],[])).
% 12.65/12.83 tff(597,plain,
% 12.65/12.83 (((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))))) <=> ((~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))))),
% 12.65/12.83 inference(rewrite,[status(thm)],[])).
% 12.65/12.83 tff(598,plain,
% 12.65/12.83 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))),
% 12.65/12.83 inference(monotonicity,[status(thm)],[597])).
% 12.65/12.83 tff(599,plain,
% 12.65/12.83 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))))),
% 12.65/12.83 inference(transitivity,[status(thm)],[598, 596])).
% 12.65/12.83 tff(600,plain,
% 12.65/12.83 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))),
% 12.65/12.83 inference(quant_inst,[status(thm)],[])).
% 12.65/12.83 tff(601,plain,
% 12.65/12.83 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))),
% 12.65/12.83 inference(modus_ponens,[status(thm)],[600, 599])).
% 12.65/12.83 tff(602,plain,
% 12.65/12.83 (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))),
% 12.65/12.83 inference(unit_resolution,[status(thm)],[601, 266, 203, 215])).
% 12.65/12.83 tff(603,plain,
% 12.65/12.83 (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp_fun_X127_17(X135!18, X134!19, tptp0)),
% 12.65/12.83 inference(symmetry,[status(thm)],[602])).
% 12.65/12.83 tff(604,plain,
% 12.65/12.83 (send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) <=> send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)),
% 12.65/12.83 inference(monotonicity,[status(thm)],[603, 595, 549])).
% 12.65/12.83 tff(605,plain,
% 12.65/12.83 (send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0) <=> send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.83 inference(symmetry,[status(thm)],[604])).
% 12.65/12.83 tff(606,plain,
% 12.65/12.83 (((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~occurrence_of(tptp_fun_X130_14(X135!18, X134!19, tptp0), tptp_fun_X127_17(X135!18, X134!19, tptp0))) | (~root_occ(tptp_fun_X130_14(X135!18, X134!19, tptp0), X135!18))) | send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)),
% 12.65/12.83 inference(tautology,[status(thm)],[])).
% 12.65/12.83 tff(607,plain,
% 12.65/12.83 (send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)),
% 12.65/12.83 inference(unit_resolution,[status(thm)],[606, 176])).
% 12.65/12.83 tff(608,plain,
% 12.65/12.83 (send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.83 inference(modus_ponens,[status(thm)],[607, 605])).
% 12.65/12.83 tff(609,plain,
% 12.65/12.83 (^[X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : refl((min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))) <=> (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))),
% 12.65/12.83 inference(bind,[status(th)],[])).
% 12.65/12.83 tff(610,plain,
% 12.65/12.83 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))) <=> ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))),
% 12.65/12.83 inference(quant_intro,[status(thm)],[609])).
% 12.65/12.83 tff(611,plain,
% 12.65/12.83 (^[X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : trans(monotonicity(trans(monotonicity(rewrite((send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114)) <=> (~((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))), ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) <=> (~(~((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))))), rewrite((~(~((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))) <=> ((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))), ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) <=> ((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))), (((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> (((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)))), rewrite((((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))), (((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))))),
% 12.65/12.83 inference(bind,[status(th)],[])).
% 12.65/12.83 tff(612,plain,
% 12.65/12.83 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))),
% 12.65/12.83 inference(quant_intro,[status(thm)],[611])).
% 12.65/12.83 tff(613,plain,
% 12.65/12.83 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 12.65/12.83 inference(rewrite,[status(thm)],[])).
% 12.65/12.83 tff(614,plain,
% 12.65/12.83 (^[X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : rewrite(((send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114)) => min_precedes(X117, X119, X118)) <=> ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)))),
% 12.65/12.83 inference(bind,[status(th)],[])).
% 12.65/12.83 tff(615,plain,
% 12.65/12.83 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114)) => min_precedes(X117, X119, X118)) <=> ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 12.65/12.83 inference(quant_intro,[status(thm)],[614])).
% 12.65/12.83 tff(616,axiom,(![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114)) => min_precedes(X117, X119, X118))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_47')).
% 12.65/12.83 tff(617,plain,
% 12.65/12.83 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 12.65/12.83 inference(modus_ponens,[status(thm)],[616, 615])).
% 12.65/12.83 tff(618,plain,
% 12.65/12.83 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 12.65/12.83 inference(modus_ponens,[status(thm)],[617, 613])).
% 12.65/12.83 tff(619,plain,(
% 12.65/12.83 ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 12.65/12.83 inference(skolemize,[status(sab)],[618])).
% 12.65/12.83 tff(620,plain,
% 12.65/12.83 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))),
% 12.65/12.83 inference(modus_ponens,[status(thm)],[619, 612])).
% 12.65/12.83 tff(621,plain,
% 12.65/12.83 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))),
% 12.65/12.83 inference(modus_ponens,[status(thm)],[620, 610])).
% 12.65/12.83 tff(622,plain,
% 12.65/12.83 (((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | ((~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) <=> ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.83 inference(rewrite,[status(thm)],[])).
% 12.65/12.83 tff(623,plain,
% 12.65/12.83 ((min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0))))) <=> ((~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.83 inference(rewrite,[status(thm)],[])).
% 12.65/12.83 tff(624,plain,
% 12.65/12.83 (((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))) <=> ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | ((~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.83 inference(monotonicity,[status(thm)],[623])).
% 12.65/12.83 tff(625,plain,
% 12.65/12.83 (((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))) <=> ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.83 inference(transitivity,[status(thm)],[624, 622])).
% 12.65/12.83 tff(626,plain,
% 12.65/12.83 ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))))),
% 12.65/12.84 inference(quant_inst,[status(thm)],[])).
% 12.65/12.84 tff(627,plain,
% 12.65/12.84 ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (~send_message(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.84 inference(modus_ponens,[status(thm)],[626, 625])).
% 12.65/12.84 tff(628,plain,
% 12.65/12.84 ((~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.84 inference(unit_resolution,[status(thm)],[627, 621, 608])).
% 12.65/12.84 tff(629,plain,
% 12.65/12.84 (min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.84 inference(unit_resolution,[status(thm)],[628, 216])).
% 12.65/12.84 tff(630,plain,
% 12.65/12.84 (^[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))))))),
% 12.65/12.84 inference(bind,[status(th)],[])).
% 12.65/12.84 tff(631,plain,
% 12.65/12.84 (![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)))))),
% 12.65/12.84 inference(quant_intro,[status(thm)],[630])).
% 12.65/12.84 tff(632,plain,
% 12.65/12.84 (^[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))))))),
% 12.65/12.84 inference(bind,[status(th)],[])).
% 12.65/12.84 tff(633,plain,
% 12.65/12.84 (![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)))))),
% 12.65/12.84 inference(quant_intro,[status(thm)],[632])).
% 12.65/12.84 tff(634,plain,
% 12.65/12.84 (![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)))),
% 12.65/12.84 inference(rewrite,[status(thm)],[])).
% 12.65/12.84 tff(635,plain,
% 12.65/12.84 (^[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))))),
% 12.65/12.84 inference(bind,[status(th)],[])).
% 12.65/12.84 tff(636,plain,
% 12.65/12.84 (![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)))),
% 12.65/12.84 inference(quant_intro,[status(thm)],[635])).
% 12.65/12.84 tff(637,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')).
% 12.65/12.84 tff(638,plain,
% 12.65/12.84 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 12.65/12.84 inference(modus_ponens,[status(thm)],[637, 636])).
% 12.65/12.84 tff(639,plain,
% 12.65/12.84 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 12.65/12.84 inference(modus_ponens,[status(thm)],[638, 634])).
% 12.65/12.84 tff(640,plain,(
% 12.65/12.84 ![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)))),
% 12.65/12.84 inference(skolemize,[status(sab)],[639])).
% 12.65/12.84 tff(641,plain,
% 12.65/12.84 (![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)))))),
% 12.65/12.84 inference(modus_ponens,[status(thm)],[640, 633])).
% 12.65/12.84 tff(642,plain,
% 12.65/12.84 (![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)))))),
% 12.65/12.84 inference(modus_ponens,[status(thm)],[641, 631])).
% 12.65/12.84 tff(643,plain,
% 12.65/12.84 (((~![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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, 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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.65/12.84 inference(rewrite,[status(thm)],[])).
% 12.65/12.84 tff(644,plain,
% 12.65/12.84 ((~![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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.65/12.84 inference(quant_inst,[status(thm)],[])).
% 12.65/12.84 tff(645,plain,
% 12.65/12.84 ((~![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_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.84 inference(modus_ponens,[status(thm)],[644, 643])).
% 12.65/12.84 tff(646,plain,
% 12.65/12.84 (~((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.84 inference(unit_resolution,[status(thm)],[645, 642, 629])).
% 12.65/12.84 tff(647,plain,
% 12.65/12.84 (((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.84 inference(tautology,[status(thm)],[])).
% 12.65/12.84 tff(648,plain,
% 12.65/12.84 (min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.84 inference(unit_resolution,[status(thm)],[647, 646])).
% 12.65/12.84 tff(649,plain,
% 12.65/12.84 (((~![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(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))) <=> ((~![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(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.65/12.84 inference(rewrite,[status(thm)],[])).
% 12.65/12.84 tff(650,plain,
% 12.65/12.84 (((~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))) <=> ((~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.65/12.84 inference(rewrite,[status(thm)],[])).
% 12.65/12.84 tff(651,plain,
% 12.65/12.84 (((~![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(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))) <=> ((~![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(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))),
% 12.65/12.84 inference(monotonicity,[status(thm)],[650])).
% 12.65/12.84 tff(652,plain,
% 12.65/12.84 (((~![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(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))) <=> ((~![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(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.65/12.84 inference(transitivity,[status(thm)],[651, 649])).
% 12.65/12.84 tff(653,plain,
% 12.65/12.84 ((~![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(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))),
% 12.65/12.84 inference(quant_inst,[status(thm)],[])).
% 12.65/12.84 tff(654,plain,
% 12.65/12.84 ((~![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(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.84 inference(modus_ponens,[status(thm)],[653, 652])).
% 12.65/12.84 tff(655,plain,
% 12.65/12.84 (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.84 inference(unit_resolution,[status(thm)],[654, 436, 648])).
% 12.65/12.84 tff(656,plain,
% 12.65/12.84 (((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.85 inference(tautology,[status(thm)],[])).
% 12.65/12.85 tff(657,plain,
% 12.65/12.85 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.85 inference(unit_resolution,[status(thm)],[656, 655])).
% 12.65/12.85 tff(658,plain,
% 12.65/12.85 (((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.85 inference(tautology,[status(thm)],[])).
% 12.65/12.85 tff(659,plain,
% 12.65/12.85 (subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.85 inference(unit_resolution,[status(thm)],[658, 655])).
% 12.65/12.85 tff(660,plain,
% 12.65/12.85 (((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.85 inference(tautology,[status(thm)],[])).
% 12.65/12.85 tff(661,plain,
% 12.65/12.85 (root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.85 inference(unit_resolution,[status(thm)],[660, 646])).
% 12.65/12.85 tff(662,plain,
% 12.65/12.85 (((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))) | ((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.85 inference(rewrite,[status(thm)],[])).
% 12.65/12.85 tff(663,plain,
% 12.65/12.85 (((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) <=> ((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.85 inference(rewrite,[status(thm)],[])).
% 12.65/12.85 tff(664,plain,
% 12.65/12.85 (((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))) | ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))) | ((~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.85 inference(monotonicity,[status(thm)],[663])).
% 12.65/12.85 tff(665,plain,
% 12.65/12.85 (((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))) | ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.85 inference(transitivity,[status(thm)],[664, 662])).
% 12.65/12.85 tff(666,plain,
% 12.65/12.85 ((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))) | ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.85 inference(quant_inst,[status(thm)],[])).
% 12.65/12.85 tff(667,plain,
% 12.65/12.85 ((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.85 inference(modus_ponens,[status(thm)],[666, 665])).
% 12.65/12.85 tff(668,plain,
% 12.65/12.85 ($false),
% 12.65/12.85 inference(unit_resolution,[status(thm)],[667, 661, 659, 657, 541])).
% 12.65/12.85 tff(669,plain,(~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))), inference(lemma,lemma(discharge,[]))).
% 12.65/12.85 tff(670,plain,
% 12.65/12.85 (((~![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_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), 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_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60))))))))),
% 12.65/12.86 inference(rewrite,[status(thm)],[])).
% 12.65/12.86 tff(671,plain,
% 12.65/12.86 ((~((~((~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60))))))) <=> (~((~((~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))))))),
% 12.65/12.86 inference(rewrite,[status(thm)],[])).
% 12.65/12.86 tff(672,plain,
% 12.65/12.86 (((~![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_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), 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_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60))))))))),
% 12.65/12.86 inference(monotonicity,[status(thm)],[671])).
% 12.65/12.86 tff(673,plain,
% 12.65/12.86 (((~![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_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), 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_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60))))))))),
% 12.65/12.86 inference(transitivity,[status(thm)],[672, 670])).
% 12.65/12.86 tff(674,plain,
% 12.65/12.86 ((~![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_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))))))),
% 12.65/12.86 inference(quant_inst,[status(thm)],[])).
% 12.65/12.86 tff(675,plain,
% 12.65/12.86 ((~![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_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))))))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[674, 673])).
% 12.65/12.87 tff(676,plain,
% 12.65/12.87 (~((~((~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60))))))),
% 12.65/12.87 inference(unit_resolution,[status(thm)],[675, 141])).
% 12.65/12.87 tff(677,plain,
% 12.65/12.87 (((~((~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))))))) | (~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))))) | (root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60))))),
% 12.65/12.87 inference(tautology,[status(thm)],[])).
% 12.65/12.87 tff(678,plain,
% 12.65/12.87 (root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))),
% 12.65/12.87 inference(unit_resolution,[status(thm)],[677, 676])).
% 12.65/12.87 tff(679,plain,
% 12.65/12.87 ((~(root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60))))) | root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))),
% 12.65/12.87 inference(tautology,[status(thm)],[])).
% 12.65/12.87 tff(680,plain,
% 12.65/12.87 (root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), X60)) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), X60)))),
% 12.65/12.87 inference(unit_resolution,[status(thm)],[679, 678])).
% 12.65/12.87 tff(681,plain,
% 12.65/12.87 (root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.87 inference(unit_resolution,[status(thm)],[680, 669])).
% 12.65/12.87 tff(682,plain,
% 12.65/12.87 (((~![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | ![X38: $i] : (~min_precedes(X38, tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | ![X38: $i] : (~min_precedes(X38, tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.87 inference(rewrite,[status(thm)],[])).
% 12.65/12.87 tff(683,plain,
% 12.65/12.87 ((~![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | ![X38: $i] : (~min_precedes(X38, tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.87 inference(quant_inst,[status(thm)],[])).
% 12.65/12.87 tff(684,plain,
% 12.65/12.87 ((~![X35: $i, X36: $i, X37: $i] : ((~occurrence_of(X35, X37)) | (~root_occ(X36, X35)) | ![X38: $i] : (~min_precedes(X38, X36, X37)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | ![X38: $i] : (~min_precedes(X38, tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[683, 682])).
% 12.65/12.87 tff(685,plain,
% 12.65/12.87 (![X38: $i] : (~min_precedes(X38, tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.87 inference(unit_resolution,[status(thm)],[684, 531, 657, 681])).
% 12.65/12.87 tff(686,plain,
% 12.65/12.87 ((~![X38: $i] : (~min_precedes(X38, tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.87 inference(quant_inst,[status(thm)],[])).
% 12.65/12.87 tff(687,plain,
% 12.65/12.87 ($false),
% 12.65/12.87 inference(unit_resolution,[status(thm)],[686, 685, 540])).
% 12.65/12.87 tff(688,plain,(~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), inference(lemma,lemma(discharge,[]))).
% 12.65/12.87 tff(689,assumption,(~(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), introduced(assumption)).
% 12.65/12.87 tff(690,plain,
% 12.65/12.87 (^[X53: $i, X54: $i] : refl((legal(X53) | (~root(X53, X54))) <=> (legal(X53) | (~root(X53, X54))))),
% 12.65/12.87 inference(bind,[status(th)],[])).
% 12.65/12.87 tff(691,plain,
% 12.65/12.87 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 12.65/12.87 inference(quant_intro,[status(thm)],[690])).
% 12.65/12.87 tff(692,plain,
% 12.65/12.87 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 12.65/12.87 inference(rewrite,[status(thm)],[])).
% 12.65/12.87 tff(693,plain,
% 12.65/12.87 (^[X53: $i, X54: $i] : rewrite((root(X53, X54) => legal(X53)) <=> (legal(X53) | (~root(X53, X54))))),
% 12.65/12.87 inference(bind,[status(th)],[])).
% 12.65/12.87 tff(694,plain,
% 12.65/12.87 (![X53: $i, X54: $i] : (root(X53, X54) => legal(X53)) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 12.65/12.87 inference(quant_intro,[status(thm)],[693])).
% 12.65/12.87 tff(695,axiom,(![X53: $i, X54: $i] : (root(X53, X54) => legal(X53))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_17')).
% 12.65/12.87 tff(696,plain,
% 12.65/12.87 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[695, 694])).
% 12.65/12.87 tff(697,plain,
% 12.65/12.87 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[696, 692])).
% 12.65/12.87 tff(698,plain,(
% 12.65/12.87 ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 12.65/12.87 inference(skolemize,[status(sab)],[697])).
% 12.65/12.87 tff(699,plain,
% 12.65/12.87 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[698, 691])).
% 12.65/12.87 tff(700,plain,
% 12.65/12.87 (((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.87 inference(rewrite,[status(thm)],[])).
% 12.65/12.87 tff(701,plain,
% 12.65/12.87 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.87 inference(quant_inst,[status(thm)],[])).
% 12.65/12.87 tff(702,plain,
% 12.65/12.87 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~root(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[701, 700])).
% 12.65/12.87 tff(703,plain,
% 12.65/12.87 (legal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.65/12.87 inference(unit_resolution,[status(thm)],[702, 699, 661])).
% 12.65/12.87 tff(704,plain,
% 12.65/12.87 (^[X43: $i] : refl((arboreal(X43) | (~legal(X43))) <=> (arboreal(X43) | (~legal(X43))))),
% 12.65/12.87 inference(bind,[status(th)],[])).
% 12.65/12.87 tff(705,plain,
% 12.65/12.87 (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 12.65/12.87 inference(quant_intro,[status(thm)],[704])).
% 12.65/12.87 tff(706,plain,
% 12.65/12.87 (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 12.65/12.87 inference(rewrite,[status(thm)],[])).
% 12.65/12.87 tff(707,plain,
% 12.65/12.87 (^[X43: $i] : rewrite((legal(X43) => arboreal(X43)) <=> (arboreal(X43) | (~legal(X43))))),
% 12.65/12.87 inference(bind,[status(th)],[])).
% 12.65/12.87 tff(708,plain,
% 12.65/12.87 (![X43: $i] : (legal(X43) => arboreal(X43)) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 12.65/12.87 inference(quant_intro,[status(thm)],[707])).
% 12.65/12.87 tff(709,axiom,(![X43: $i] : (legal(X43) => arboreal(X43))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 12.65/12.87 tff(710,plain,
% 12.65/12.87 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[709, 708])).
% 12.65/12.87 tff(711,plain,
% 12.65/12.87 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[710, 706])).
% 12.65/12.87 tff(712,plain,(
% 12.65/12.87 ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 12.65/12.87 inference(skolemize,[status(sab)],[711])).
% 12.65/12.87 tff(713,plain,
% 12.65/12.87 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[712, 705])).
% 12.65/12.87 tff(714,plain,
% 12.65/12.87 (((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~legal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))) <=> ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~legal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))),
% 12.65/12.87 inference(rewrite,[status(thm)],[])).
% 12.65/12.87 tff(715,plain,
% 12.65/12.87 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~legal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))),
% 12.65/12.87 inference(quant_inst,[status(thm)],[])).
% 12.65/12.87 tff(716,plain,
% 12.65/12.87 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~legal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))),
% 12.65/12.87 inference(modus_ponens,[status(thm)],[715, 714])).
% 12.65/12.87 tff(717,plain,
% 12.65/12.87 (arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.65/12.87 inference(unit_resolution,[status(thm)],[716, 713, 703])).
% 12.65/12.87 tff(718,assumption,(~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), introduced(assumption)).
% 12.65/12.88 tff(719,plain,
% 12.65/12.88 (((~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.88 inference(tautology,[status(thm)],[])).
% 12.65/12.88 tff(720,plain,
% 12.65/12.88 (subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.88 inference(unit_resolution,[status(thm)],[719, 655])).
% 12.65/12.88 tff(721,plain,
% 12.65/12.88 (^[X82: $i, X83: $i, X84: $i, X85: $i] : refl((subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))) <=> (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))),
% 12.65/12.88 inference(bind,[status(th)],[])).
% 12.65/12.88 tff(722,plain,
% 12.65/12.88 (![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))) <=> ![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))),
% 12.65/12.88 inference(quant_intro,[status(thm)],[721])).
% 12.65/12.88 tff(723,plain,
% 12.65/12.88 (^[X82: $i, X83: $i, X84: $i, X85: $i] : trans(monotonicity(trans(monotonicity(rewrite((min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85)) <=> (~((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))), ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) <=> (~(~((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))))), rewrite((~(~((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))) <=> ((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))), ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) <=> ((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))), (((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> (((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)))), rewrite((((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))), (((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))))),
% 12.65/12.88 inference(bind,[status(th)],[])).
% 12.65/12.88 tff(724,plain,
% 12.65/12.88 (![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> ![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))),
% 12.65/12.88 inference(quant_intro,[status(thm)],[723])).
% 12.65/12.88 tff(725,plain,
% 12.65/12.88 (![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> ![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 12.65/12.88 inference(rewrite,[status(thm)],[])).
% 12.65/12.88 tff(726,plain,
% 12.65/12.88 (^[X82: $i, X83: $i, X84: $i, X85: $i] : trans(monotonicity(rewrite(((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) <=> (min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))), ((((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)) <=> ((min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)))), rewrite(((min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)) <=> ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))), ((((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)) <=> ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))))),
% 12.65/12.88 inference(bind,[status(th)],[])).
% 12.65/12.88 tff(727,plain,
% 12.65/12.88 (![X82: $i, X83: $i, X84: $i, X85: $i] : (((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)) <=> ![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 12.65/12.88 inference(quant_intro,[status(thm)],[726])).
% 12.65/12.88 tff(728,axiom,(![X82: $i, X83: $i, X84: $i, X85: $i] : (((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_27')).
% 12.65/12.88 tff(729,plain,
% 12.65/12.88 (![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 12.65/12.88 inference(modus_ponens,[status(thm)],[728, 727])).
% 12.65/12.88 tff(730,plain,
% 12.65/12.88 (![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 12.65/12.88 inference(modus_ponens,[status(thm)],[729, 725])).
% 12.65/12.88 tff(731,plain,(
% 12.65/12.88 ![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 12.65/12.88 inference(skolemize,[status(sab)],[730])).
% 12.65/12.88 tff(732,plain,
% 12.65/12.88 (![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))),
% 12.65/12.88 inference(modus_ponens,[status(thm)],[731, 724])).
% 12.65/12.88 tff(733,plain,
% 12.65/12.88 (![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))),
% 12.65/12.88 inference(modus_ponens,[status(thm)],[732, 722])).
% 12.65/12.88 tff(734,plain,
% 12.65/12.88 (((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | ((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.88 inference(rewrite,[status(thm)],[])).
% 12.65/12.88 tff(735,plain,
% 12.65/12.88 ((subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.88 inference(rewrite,[status(thm)],[])).
% 12.65/12.88 tff(736,plain,
% 12.65/12.88 (((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | ((~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.88 inference(monotonicity,[status(thm)],[735])).
% 12.65/12.88 tff(737,plain,
% 12.65/12.88 (((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.88 inference(transitivity,[status(thm)],[736, 734])).
% 12.65/12.88 tff(738,plain,
% 12.65/12.88 ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.88 inference(quant_inst,[status(thm)],[])).
% 12.65/12.88 tff(739,plain,
% 12.65/12.88 ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.88 inference(modus_ponens,[status(thm)],[738, 737])).
% 12.65/12.88 tff(740,plain,
% 12.65/12.88 ($false),
% 12.65/12.88 inference(unit_resolution,[status(thm)],[739, 733, 629, 720, 657, 718])).
% 12.65/12.88 tff(741,plain,(subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), inference(lemma,lemma(discharge,[]))).
% 12.65/12.88 tff(742,plain,
% 12.65/12.88 (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.88 inference(monotonicity,[status(thm)],[548])).
% 12.65/12.88 tff(743,plain,
% 12.65/12.88 (tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)),
% 12.65/12.88 inference(symmetry,[status(thm)],[742])).
% 12.65/12.88 tff(744,plain,
% 12.65/12.88 (arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) <=> arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0))),
% 12.65/12.88 inference(monotonicity,[status(thm)],[743])).
% 12.65/12.88 tff(745,plain,
% 12.65/12.88 (arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) <=> arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.88 inference(symmetry,[status(thm)],[744])).
% 12.65/12.88 tff(746,plain,
% 12.65/12.88 (((~![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(tptp0) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![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(tptp0) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.88 inference(rewrite,[status(thm)],[])).
% 12.65/12.88 tff(747,plain,
% 12.65/12.88 ((~![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(tptp0) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.88 inference(quant_inst,[status(thm)],[])).
% 12.65/12.88 tff(748,plain,
% 12.65/12.88 ((~![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(tptp0) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.88 inference(modus_ponens,[status(thm)],[747, 746])).
% 12.65/12.88 tff(749,plain,
% 12.65/12.88 (~((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.88 inference(unit_resolution,[status(thm)],[748, 108, 329, 476])).
% 12.65/12.88 tff(750,plain,
% 12.65/12.88 (((~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)),
% 12.65/12.88 inference(tautology,[status(thm)],[])).
% 12.65/12.88 tff(751,plain,
% 12.65/12.88 (root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)),
% 12.65/12.88 inference(unit_resolution,[status(thm)],[750, 749])).
% 12.65/12.88 tff(752,plain,
% 12.65/12.88 (((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)))) <=> ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)))),
% 12.65/12.88 inference(rewrite,[status(thm)],[])).
% 12.65/12.88 tff(753,plain,
% 12.65/12.88 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0)))),
% 12.65/12.88 inference(quant_inst,[status(thm)],[])).
% 12.65/12.88 tff(754,plain,
% 12.65/12.88 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~root(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0), tptp0))),
% 12.65/12.89 inference(modus_ponens,[status(thm)],[753, 752])).
% 12.65/12.89 tff(755,plain,
% 12.65/12.89 (legal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0))),
% 12.65/12.89 inference(unit_resolution,[status(thm)],[754, 699, 751])).
% 12.65/12.89 tff(756,plain,
% 12.65/12.89 (((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~legal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0))))) <=> ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~legal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0))))),
% 12.65/12.89 inference(rewrite,[status(thm)],[])).
% 12.65/12.89 tff(757,plain,
% 12.65/12.89 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~legal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0))))),
% 12.65/12.89 inference(quant_inst,[status(thm)],[])).
% 12.65/12.89 tff(758,plain,
% 12.65/12.89 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)) | (~legal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0)))),
% 12.65/12.89 inference(modus_ponens,[status(thm)],[757, 756])).
% 12.65/12.89 tff(759,plain,
% 12.65/12.89 (arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp0))),
% 12.65/12.89 inference(unit_resolution,[status(thm)],[758, 713, 755])).
% 12.65/12.89 tff(760,plain,
% 12.65/12.89 (arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.89 inference(modus_ponens,[status(thm)],[759, 745])).
% 12.65/12.89 tff(761,plain,
% 12.65/12.89 (^[X14: $i, X15: $i, X16: $i, X17: $i] : refl((min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))),
% 12.65/12.89 inference(bind,[status(th)],[])).
% 12.65/12.89 tff(762,plain,
% 12.65/12.89 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))) <=> ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))),
% 12.65/12.89 inference(quant_intro,[status(thm)],[761])).
% 12.65/12.89 tff(763,plain,
% 12.65/12.89 (^[X14: $i, X15: $i, X16: $i, X17: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)) <=> (~((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))), ((~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))) <=> (~(~((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))))), rewrite((~(~((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))) <=> ((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))), ((~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))) <=> ((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))), ((min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | ((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))))), rewrite((min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | ((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))), ((min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))))),
% 12.65/12.89 inference(bind,[status(th)],[])).
% 12.65/12.89 tff(764,plain,
% 12.65/12.89 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))) <=> ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))),
% 12.65/12.89 inference(quant_intro,[status(thm)],[763])).
% 12.65/12.89 tff(765,plain,
% 12.65/12.89 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))) <=> ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 12.65/12.89 inference(rewrite,[status(thm)],[])).
% 12.65/12.89 tff(766,plain,
% 12.65/12.89 (^[X14: $i, X15: $i, X16: $i, X17: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17))), ((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) <=> ((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17)) & subactivity_occurrence(X16, X15)))), rewrite(((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17)) & subactivity_occurrence(X16, X15)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15))), ((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15)))), (((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) <=> ((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)))), rewrite(((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))), (((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))), trans(monotonicity(rewrite((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) <=> (min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14))), (((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)) <=> ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)))), rewrite(((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14))), (((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14)))), ((((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) => ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17))) <=> ((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)) => (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14))))), rewrite(((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)) => (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))), ((((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) => ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))))),
% 12.65/12.89 inference(bind,[status(th)],[])).
% 12.65/12.89 tff(767,plain,
% 12.65/12.89 (![X14: $i, X15: $i, X16: $i, X17: $i] : (((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) => ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17))) <=> ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 12.65/12.89 inference(quant_intro,[status(thm)],[766])).
% 12.65/12.89 tff(768,axiom,(![X14: $i, X15: $i, X16: $i, X17: $i] : (((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) => ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_04')).
% 12.65/12.89 tff(769,plain,
% 12.65/12.89 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 12.65/12.89 inference(modus_ponens,[status(thm)],[768, 767])).
% 12.65/12.89 tff(770,plain,
% 12.65/12.89 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 12.65/12.89 inference(modus_ponens,[status(thm)],[769, 765])).
% 12.65/12.89 tff(771,plain,(
% 12.65/12.89 ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 12.65/12.89 inference(skolemize,[status(sab)],[770])).
% 12.65/12.89 tff(772,plain,
% 12.65/12.89 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))),
% 12.65/12.89 inference(modus_ponens,[status(thm)],[771, 764])).
% 12.65/12.89 tff(773,plain,
% 12.65/12.89 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))),
% 12.65/12.89 inference(modus_ponens,[status(thm)],[772, 762])).
% 12.65/12.89 tff(774,plain,
% 12.65/12.89 (((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | ((~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.89 inference(rewrite,[status(thm)],[])).
% 12.65/12.89 tff(775,plain,
% 12.65/12.89 ((min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.89 inference(rewrite,[status(thm)],[])).
% 12.65/12.89 tff(776,plain,
% 12.65/12.89 (((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | ((~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.89 inference(monotonicity,[status(thm)],[775])).
% 12.65/12.89 tff(777,plain,
% 12.65/12.89 (((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.65/12.90 inference(transitivity,[status(thm)],[776, 774])).
% 12.65/12.90 tff(778,plain,
% 12.65/12.90 ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.90 inference(quant_inst,[status(thm)],[])).
% 12.65/12.90 tff(779,plain,
% 12.65/12.90 ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~arboreal(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.90 inference(modus_ponens,[status(thm)],[778, 777])).
% 12.65/12.90 tff(780,plain,
% 12.65/12.90 ($false),
% 12.65/12.90 inference(unit_resolution,[status(thm)],[779, 773, 760, 659, 657, 741, 717, 689, 688, 539])).
% 12.65/12.90 tff(781,plain,(min_precedes(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), inference(lemma,lemma(discharge,[]))).
% 12.65/12.90 tff(782,plain,
% 12.65/12.90 (tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.90 inference(unit_resolution,[status(thm)],[781, 538])).
% 12.65/12.90 tff(783,plain,
% 12.65/12.90 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.90 inference(monotonicity,[status(thm)],[548])).
% 12.65/12.90 tff(784,plain,
% 12.65/12.90 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)),
% 12.65/12.90 inference(symmetry,[status(thm)],[783])).
% 12.65/12.90 tff(785,plain,
% 12.65/12.90 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)),
% 12.65/12.90 inference(modus_ponens,[status(thm)],[657, 784])).
% 12.65/12.90 tff(786,plain,
% 12.65/12.90 (((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))))))) <=> ((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))))))),
% 12.65/12.90 inference(rewrite,[status(thm)],[])).
% 12.65/12.90 tff(787,plain,
% 12.65/12.90 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))))))),
% 12.65/12.90 inference(rewrite,[status(thm)],[])).
% 12.65/12.90 tff(788,plain,
% 12.65/12.90 (((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), 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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)))))))),
% 12.65/12.90 inference(monotonicity,[status(thm)],[787])).
% 12.65/12.90 tff(789,plain,
% 12.65/12.90 (((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), 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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))))))),
% 12.65/12.91 inference(transitivity,[status(thm)],[788, 786])).
% 12.65/12.91 tff(790,plain,
% 12.65/12.91 ((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)))))),
% 12.65/12.91 inference(quant_inst,[status(thm)],[])).
% 12.65/12.91 tff(791,plain,
% 12.65/12.91 ((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)))))),
% 12.65/12.91 inference(modus_ponens,[status(thm)],[790, 789])).
% 12.65/12.91 tff(792,plain,
% 12.65/12.91 ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)))))),
% 12.65/12.91 inference(unit_resolution,[status(thm)],[791, 312])).
% 12.65/12.91 tff(793,plain,
% 12.65/12.91 (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))))),
% 12.65/12.91 inference(unit_resolution,[status(thm)],[792, 785])).
% 12.65/12.91 tff(794,plain,
% 12.65/12.91 (((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)))) | root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.91 inference(tautology,[status(thm)],[])).
% 12.65/12.91 tff(795,plain,
% 12.65/12.91 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.65/12.91 inference(unit_resolution,[status(thm)],[794, 793])).
% 12.65/12.91 tff(796,plain,
% 12.65/12.91 (((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) <=> ((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))),
% 12.65/12.91 inference(rewrite,[status(thm)],[])).
% 12.65/12.91 tff(797,plain,
% 12.65/12.91 (((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))),
% 12.65/12.92 inference(rewrite,[status(thm)],[])).
% 12.65/12.92 tff(798,plain,
% 12.65/12.92 (((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))))),
% 12.65/12.92 inference(monotonicity,[status(thm)],[797])).
% 12.65/12.92 tff(799,plain,
% 12.65/12.92 (((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) <=> ((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))),
% 12.65/12.92 inference(transitivity,[status(thm)],[798, 796])).
% 12.65/12.92 tff(800,plain,
% 12.65/12.92 ((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.65/12.92 inference(quant_inst,[status(thm)],[])).
% 12.65/12.92 tff(801,plain,
% 12.65/12.92 ((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.65/12.92 inference(modus_ponens,[status(thm)],[800, 799])).
% 12.65/12.92 tff(802,plain,
% 12.65/12.92 (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))),
% 12.65/12.92 inference(unit_resolution,[status(thm)],[801, 191, 657, 795, 681])).
% 12.65/12.92 tff(803,plain,
% 12.65/12.92 (tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.65/12.92 inference(monotonicity,[status(thm)],[782])).
% 12.65/12.92 tff(804,plain,
% 12.65/12.92 (tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) = tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.92 inference(symmetry,[status(thm)],[803])).
% 12.76/12.92 tff(805,plain,
% 12.76/12.92 (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X71_10(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.76/12.92 inference(monotonicity,[status(thm)],[804])).
% 12.76/12.92 tff(806,plain,
% 12.76/12.92 (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.92 inference(transitivity,[status(thm)],[805, 802, 782])).
% 12.76/12.92 tff(807,plain,
% 12.76/12.92 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) <=> min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.92 inference(monotonicity,[status(thm)],[806])).
% 12.76/12.92 tff(808,plain,
% 12.76/12.92 (min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) <=> min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.92 inference(symmetry,[status(thm)],[807])).
% 12.76/12.92 tff(809,plain,
% 12.76/12.92 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.92 inference(modus_ponens,[status(thm)],[629, 808])).
% 12.76/12.92 tff(810,plain,
% 12.76/12.92 (((~![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))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))))) <=> ((~![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))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))))))),
% 12.76/12.93 inference(rewrite,[status(thm)],[])).
% 12.76/12.93 tff(811,plain,
% 12.76/12.93 ((~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))))) <=> (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))))),
% 12.76/12.93 inference(rewrite,[status(thm)],[])).
% 12.76/12.93 tff(812,plain,
% 12.76/12.93 (((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))))) <=> ((~![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))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))))))),
% 12.76/12.93 inference(monotonicity,[status(thm)],[811])).
% 12.76/12.93 tff(813,plain,
% 12.76/12.93 (((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))))) <=> ((~![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))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))))))),
% 12.76/12.94 inference(transitivity,[status(thm)],[812, 810])).
% 12.76/12.94 tff(814,plain,
% 12.76/12.94 ((~![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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))))),
% 12.76/12.94 inference(quant_inst,[status(thm)],[])).
% 12.76/12.94 tff(815,plain,
% 12.76/12.94 ((~![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))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))))),
% 12.76/12.94 inference(modus_ponens,[status(thm)],[814, 813])).
% 12.76/12.94 tff(816,plain,
% 12.76/12.94 (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))))),
% 12.76/12.95 inference(unit_resolution,[status(thm)],[815, 295])).
% 12.76/12.95 tff(817,plain,
% 12.76/12.95 (((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))))) | ((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))),
% 12.76/12.95 inference(tautology,[status(thm)],[])).
% 12.76/12.95 tff(818,plain,
% 12.76/12.95 ((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))),
% 12.76/12.95 inference(unit_resolution,[status(thm)],[817, 816])).
% 12.76/12.95 tff(819,plain,
% 12.76/12.95 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) <=> next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)),
% 12.76/12.95 inference(monotonicity,[status(thm)],[549])).
% 12.76/12.95 tff(820,plain,
% 12.76/12.95 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0) <=> next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.95 inference(symmetry,[status(thm)],[819])).
% 12.76/12.95 tff(821,plain,
% 12.76/12.95 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.95 inference(monotonicity,[status(thm)],[548])).
% 12.76/12.95 tff(822,plain,
% 12.76/12.95 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)),
% 12.76/12.95 inference(symmetry,[status(thm)],[821])).
% 12.76/12.95 tff(823,plain,
% 12.76/12.95 (((~![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_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))) <=> ((~![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_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.76/12.95 inference(rewrite,[status(thm)],[])).
% 12.76/12.95 tff(824,plain,
% 12.76/12.95 (((~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))) <=> ((~min_precedes(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.76/12.95 inference(rewrite,[status(thm)],[])).
% 12.76/12.95 tff(825,plain,
% 12.76/12.95 (((~![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_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))) <=> ((~![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_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))),
% 12.76/12.95 inference(monotonicity,[status(thm)],[824])).
% 12.76/12.95 tff(826,plain,
% 12.76/12.95 (((~![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_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))) <=> ((~![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_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.76/12.96 inference(transitivity,[status(thm)],[825, 823])).
% 12.76/12.96 tff(827,plain,
% 12.76/12.96 ((~![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_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))),
% 12.76/12.96 inference(quant_inst,[status(thm)],[])).
% 12.76/12.96 tff(828,plain,
% 12.76/12.96 ((~![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_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))),
% 12.76/12.96 inference(modus_ponens,[status(thm)],[827, 826])).
% 12.76/12.96 tff(829,plain,
% 12.76/12.96 (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.76/12.96 inference(unit_resolution,[status(thm)],[828, 436, 629])).
% 12.76/12.96 tff(830,plain,
% 12.76/12.96 (((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.96 inference(tautology,[status(thm)],[])).
% 12.76/12.96 tff(831,plain,
% 12.76/12.96 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.96 inference(unit_resolution,[status(thm)],[830, 829])).
% 12.76/12.96 tff(832,plain,
% 12.76/12.96 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)),
% 12.76/12.96 inference(modus_ponens,[status(thm)],[831, 822])).
% 12.76/12.96 tff(833,plain,
% 12.76/12.96 (((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)))))) <=> ((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)))))),
% 12.76/12.96 inference(rewrite,[status(thm)],[])).
% 12.76/12.96 tff(834,plain,
% 12.76/12.96 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)))))),
% 12.76/12.96 inference(rewrite,[status(thm)],[])).
% 12.76/12.96 tff(835,plain,
% 12.76/12.96 (((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), 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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4))))))),
% 12.76/12.97 inference(monotonicity,[status(thm)],[834])).
% 12.76/12.97 tff(836,plain,
% 12.76/12.97 (((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), 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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)))))),
% 12.76/12.97 inference(transitivity,[status(thm)],[835, 833])).
% 12.76/12.97 tff(837,plain,
% 12.76/12.97 ((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)))))),
% 12.76/12.97 inference(quant_inst,[status(thm)],[])).
% 12.76/12.97 tff(838,plain,
% 12.76/12.97 ((~![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), tptp2) | 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_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4))))),
% 12.76/12.97 inference(modus_ponens,[status(thm)],[837, 836])).
% 12.76/12.97 tff(839,plain,
% 12.76/12.97 ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4))))),
% 12.76/12.97 inference(unit_resolution,[status(thm)],[838, 312])).
% 12.76/12.97 tff(840,plain,
% 12.76/12.97 (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4)))),
% 12.76/12.97 inference(unit_resolution,[status(thm)],[839, 832])).
% 12.76/12.97 tff(841,plain,
% 12.76/12.97 (((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)),
% 12.76/12.98 inference(tautology,[status(thm)],[])).
% 12.76/12.98 tff(842,plain,
% 12.76/12.98 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)),
% 12.76/12.98 inference(unit_resolution,[status(thm)],[841, 840])).
% 12.76/12.98 tff(843,plain,
% 12.76/12.98 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.98 inference(modus_ponens,[status(thm)],[842, 820])).
% 12.76/12.98 tff(844,plain,
% 12.76/12.98 ((~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))))),
% 12.76/12.98 inference(tautology,[status(thm)],[])).
% 12.76/12.98 tff(845,plain,
% 12.76/12.98 (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))))),
% 12.76/12.98 inference(unit_resolution,[status(thm)],[844, 843, 818])).
% 12.76/12.98 tff(846,plain,
% 12.76/12.98 (((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))))) | ![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.76/12.98 inference(tautology,[status(thm)],[])).
% 12.76/12.98 tff(847,plain,
% 12.76/12.98 (![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.76/12.98 inference(unit_resolution,[status(thm)],[846, 845])).
% 12.76/12.98 tff(848,plain,
% 12.76/12.98 (((~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) <=> ((~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.76/12.98 inference(rewrite,[status(thm)],[])).
% 12.76/12.98 tff(849,plain,
% 12.76/12.98 ((~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))),
% 12.76/12.98 inference(quant_inst,[status(thm)],[])).
% 12.76/12.98 tff(850,plain,
% 12.76/12.98 ((~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.76/12.98 inference(modus_ponens,[status(thm)],[849, 848])).
% 12.76/12.98 tff(851,plain,
% 12.76/12.98 ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.76/12.98 inference(unit_resolution,[status(thm)],[850, 847])).
% 12.76/12.98 tff(852,plain,
% 12.76/12.98 (~min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))),
% 12.76/12.98 inference(unit_resolution,[status(thm)],[851, 809])).
% 12.76/12.98 tff(853,assumption,(~(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))), introduced(assumption)).
% 12.76/12.98 tff(854,plain,
% 12.76/12.98 (((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4))) | leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.76/12.98 inference(tautology,[status(thm)],[])).
% 12.76/12.98 tff(855,plain,
% 12.76/12.98 (leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.76/12.98 inference(unit_resolution,[status(thm)],[854, 840])).
% 12.76/12.98 tff(856,plain,
% 12.76/12.98 (((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.76/12.98 inference(tautology,[status(thm)],[])).
% 12.76/12.98 tff(857,plain,
% 12.76/12.98 (subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.76/12.98 inference(unit_resolution,[status(thm)],[856, 829])).
% 12.76/12.98 tff(858,plain,
% 12.76/12.98 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (X133!20 = tptp_fun_X42_4(X135!18)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (X133!20 = tptp_fun_X42_4(X135!18)))),
% 12.76/12.98 inference(rewrite,[status(thm)],[])).
% 12.76/12.98 tff(859,plain,
% 12.76/12.98 (((X133!20 = tptp_fun_X42_4(X135!18)) | (~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18)))) <=> ((~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (X133!20 = tptp_fun_X42_4(X135!18)))),
% 12.76/12.98 inference(rewrite,[status(thm)],[])).
% 12.76/12.98 tff(860,plain,
% 12.76/12.98 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((X133!20 = tptp_fun_X42_4(X135!18)) | (~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (X133!20 = tptp_fun_X42_4(X135!18))))),
% 12.76/12.99 inference(monotonicity,[status(thm)],[859])).
% 12.76/12.99 tff(861,plain,
% 12.76/12.99 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((X133!20 = tptp_fun_X42_4(X135!18)) | (~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (X133!20 = tptp_fun_X42_4(X135!18)))),
% 12.76/12.99 inference(transitivity,[status(thm)],[860, 858])).
% 12.76/12.99 tff(862,plain,
% 12.76/12.99 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((X133!20 = tptp_fun_X42_4(X135!18)) | (~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.76/12.99 inference(quant_inst,[status(thm)],[])).
% 12.76/12.99 tff(863,plain,
% 12.76/12.99 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X135!18, X133!20)) | (~occurrence_of(X135!18, tptp_fun_X42_4(X135!18))) | (X133!20 = tptp_fun_X42_4(X135!18))),
% 12.76/12.99 inference(modus_ponens,[status(thm)],[862, 861])).
% 12.76/12.99 tff(864,plain,
% 12.76/12.99 (X133!20 = tptp_fun_X42_4(X135!18)),
% 12.76/12.99 inference(unit_resolution,[status(thm)],[863, 266, 11, 49])).
% 12.76/12.99 tff(865,plain,
% 12.76/12.99 (tptp_fun_X2_0(X135!18, X133!20) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))),
% 12.76/12.99 inference(monotonicity,[status(thm)],[864])).
% 12.76/12.99 tff(866,plain,
% 12.76/12.99 (tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)) = tptp_fun_X2_0(X135!18, X133!20)),
% 12.76/12.99 inference(symmetry,[status(thm)],[865])).
% 12.76/12.99 tff(867,plain,
% 12.76/12.99 (arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) <=> arboreal(tptp_fun_X2_0(X135!18, X133!20))),
% 12.76/12.99 inference(monotonicity,[status(thm)],[866])).
% 12.76/12.99 tff(868,plain,
% 12.76/12.99 (arboreal(tptp_fun_X2_0(X135!18, X133!20)) <=> arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))),
% 12.76/12.99 inference(symmetry,[status(thm)],[867])).
% 12.76/12.99 tff(869,plain,
% 12.76/12.99 (((~![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(X133!20) | (~occurrence_of(X135!18, X133!20)) | (~((~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, X133!20), X135!18)))))) <=> ((~![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(X133!20) | (~occurrence_of(X135!18, X133!20)) | (~((~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, X133!20), X135!18)))))),
% 12.76/12.99 inference(rewrite,[status(thm)],[])).
% 12.76/12.99 tff(870,plain,
% 12.76/12.99 ((~![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(X133!20) | (~occurrence_of(X135!18, X133!20)) | (~((~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, X133!20), X135!18)))))),
% 12.76/12.99 inference(quant_inst,[status(thm)],[])).
% 12.76/12.99 tff(871,plain,
% 12.76/12.99 ((~![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(X133!20) | (~occurrence_of(X135!18, X133!20)) | (~((~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, X133!20), X135!18))))),
% 12.76/12.99 inference(modus_ponens,[status(thm)],[870, 869])).
% 12.76/12.99 tff(872,plain,
% 12.76/12.99 (atomic(X133!20) | (~((~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, X133!20), X135!18))))),
% 12.76/12.99 inference(unit_resolution,[status(thm)],[871, 108, 11])).
% 12.76/12.99 tff(873,plain,
% 12.76/12.99 (~((~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, X133!20), X135!18)))),
% 12.76/12.99 inference(unit_resolution,[status(thm)],[872, 90])).
% 12.76/12.99 tff(874,plain,
% 12.76/12.99 (((~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, X133!20), X135!18))) | root(tptp_fun_X2_0(X135!18, X133!20), X133!20)),
% 12.76/12.99 inference(tautology,[status(thm)],[])).
% 12.76/12.99 tff(875,plain,
% 12.76/12.99 (root(tptp_fun_X2_0(X135!18, X133!20), X133!20)),
% 12.76/12.99 inference(unit_resolution,[status(thm)],[874, 873])).
% 12.76/12.99 tff(876,plain,
% 12.76/12.99 (((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(X135!18, X133!20)) | (~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)))) <=> ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(X135!18, X133!20)) | (~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)))),
% 12.76/12.99 inference(rewrite,[status(thm)],[])).
% 12.76/12.99 tff(877,plain,
% 12.76/12.99 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(X135!18, X133!20)) | (~root(tptp_fun_X2_0(X135!18, X133!20), X133!20)))),
% 12.76/12.99 inference(quant_inst,[status(thm)],[])).
% 12.76/12.99 tff(878,plain,
% 12.76/12.99 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(X135!18, X133!20)) | (~root(tptp_fun_X2_0(X135!18, X133!20), X133!20))),
% 12.76/12.99 inference(modus_ponens,[status(thm)],[877, 876])).
% 12.76/12.99 tff(879,plain,
% 12.76/12.99 (legal(tptp_fun_X2_0(X135!18, X133!20))),
% 12.76/12.99 inference(unit_resolution,[status(thm)],[878, 699, 875])).
% 12.76/12.99 tff(880,plain,
% 12.76/12.99 (((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(X135!18, X133!20)) | (~legal(tptp_fun_X2_0(X135!18, X133!20))))) <=> ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(X135!18, X133!20)) | (~legal(tptp_fun_X2_0(X135!18, X133!20))))),
% 12.76/12.99 inference(rewrite,[status(thm)],[])).
% 12.76/12.99 tff(881,plain,
% 12.76/12.99 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(X135!18, X133!20)) | (~legal(tptp_fun_X2_0(X135!18, X133!20))))),
% 12.76/12.99 inference(quant_inst,[status(thm)],[])).
% 12.76/12.99 tff(882,plain,
% 12.76/12.99 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(X135!18, X133!20)) | (~legal(tptp_fun_X2_0(X135!18, X133!20)))),
% 12.76/12.99 inference(modus_ponens,[status(thm)],[881, 880])).
% 12.76/12.99 tff(883,plain,
% 12.76/12.99 (arboreal(tptp_fun_X2_0(X135!18, X133!20))),
% 12.76/12.99 inference(unit_resolution,[status(thm)],[882, 713, 879])).
% 12.76/12.99 tff(884,plain,
% 12.76/12.99 (arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))),
% 12.76/12.99 inference(modus_ponens,[status(thm)],[883, 868])).
% 12.76/12.99 tff(885,plain,
% 12.76/12.99 (^[X8: $i, X9: $i, X10: $i, X11: $i] : refl(((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))) <=> ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))),
% 12.76/12.99 inference(bind,[status(th)],[])).
% 12.76/12.99 tff(886,plain,
% 12.76/12.99 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))) <=> ![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))),
% 12.76/12.99 inference(quant_intro,[status(thm)],[885])).
% 12.76/12.99 tff(887,plain,
% 12.76/12.99 (^[X8: $i, X9: $i, X10: $i, X11: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8))) <=> (~(min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))), ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) <=> (~(~(min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))))), rewrite((~(~(min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))) <=> (min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))), ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) <=> (min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))), (((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10)) <=> ((min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))) | (X11 = X10)))), rewrite(((min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))) | (X11 = X10)) <=> ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))), (((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10)) <=> ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))))),
% 12.76/12.99 inference(bind,[status(th)],[])).
% 12.76/12.99 tff(888,plain,
% 12.76/12.99 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10)) <=> ![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))),
% 12.76/12.99 inference(quant_intro,[status(thm)],[887])).
% 12.76/12.99 tff(889,plain,
% 12.76/12.99 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10)) <=> ![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 12.76/12.99 inference(rewrite,[status(thm)],[])).
% 12.76/12.99 tff(890,plain,
% 12.76/12.99 (^[X8: $i, X9: $i, X10: $i, X11: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9))), ((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) <=> ((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9)) & arboreal(X10)))), rewrite(((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9)) & arboreal(X10)) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10))), ((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10)))), (((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) <=> ((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10)) & (~min_precedes(X10, X11, X8))))), rewrite(((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))), (((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8))))), ((((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) => (X11 = X10)) <=> ((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8))) => (X11 = X10)))), rewrite(((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8))) => (X11 = X10)) <=> ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))), ((((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) => (X11 = X10)) <=> ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))))),
% 12.76/12.99 inference(bind,[status(th)],[])).
% 12.76/12.99 tff(891,plain,
% 12.76/12.99 (![X8: $i, X9: $i, X10: $i, X11: $i] : (((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) => (X11 = X10)) <=> ![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 12.76/12.99 inference(quant_intro,[status(thm)],[890])).
% 12.76/12.99 tff(892,axiom,(![X8: $i, X9: $i, X10: $i, X11: $i] : (((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) => (X11 = X10))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_02')).
% 12.76/12.99 tff(893,plain,
% 12.76/12.99 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 12.76/12.99 inference(modus_ponens,[status(thm)],[892, 891])).
% 12.76/12.99 tff(894,plain,
% 12.76/12.99 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 12.76/12.99 inference(modus_ponens,[status(thm)],[893, 889])).
% 12.76/12.99 tff(895,plain,(
% 12.76/12.99 ![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 12.76/12.99 inference(skolemize,[status(sab)],[894])).
% 12.76/12.99 tff(896,plain,
% 12.76/12.99 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))),
% 12.76/12.99 inference(modus_ponens,[status(thm)],[895, 888])).
% 12.76/12.99 tff(897,plain,
% 12.76/12.99 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))),
% 12.76/12.99 inference(modus_ponens,[status(thm)],[896, 886])).
% 12.76/12.99 tff(898,plain,
% 12.76/12.99 (((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) <=> ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | (~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.76/12.99 inference(rewrite,[status(thm)],[])).
% 12.76/12.99 tff(899,plain,
% 12.76/12.99 (((tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))) <=> ((~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.76/12.99 inference(rewrite,[status(thm)],[])).
% 12.76/12.99 tff(900,plain,
% 12.76/12.99 (((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) <=> ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))),
% 12.76/12.99 inference(monotonicity,[status(thm)],[899])).
% 12.76/12.99 tff(901,plain,
% 12.76/12.99 (((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))) <=> ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | (~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))))),
% 12.76/12.99 inference(transitivity,[status(thm)],[900, 898])).
% 12.76/12.99 tff(902,plain,
% 12.76/12.99 ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))))),
% 12.76/13.00 inference(quant_inst,[status(thm)],[])).
% 12.76/13.00 tff(903,plain,
% 12.76/13.00 ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | (~arboreal(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | (~subactivity_occurrence(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | min_precedes(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[902, 901])).
% 12.76/13.00 tff(904,plain,
% 12.76/13.00 ($false),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[903, 897, 884, 857, 831, 855, 853, 852])).
% 12.76/13.00 tff(905,plain,(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), inference(lemma,lemma(discharge,[]))).
% 12.76/13.00 tff(906,plain,
% 12.76/13.00 (tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)) = tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.76/13.00 inference(symmetry,[status(thm)],[905])).
% 12.76/13.00 tff(907,plain,
% 12.76/13.00 (occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2) <=> occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2)),
% 12.76/13.00 inference(monotonicity,[status(thm)],[906])).
% 12.76/13.00 tff(908,plain,
% 12.76/13.00 ((~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)) <=> (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2))),
% 12.76/13.00 inference(monotonicity,[status(thm)],[907])).
% 12.76/13.00 tff(909,assumption,(occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)), introduced(assumption)).
% 12.76/13.00 tff(910,plain,
% 12.76/13.00 ((tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2) <=> (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2)),
% 12.76/13.00 inference(monotonicity,[status(thm)],[603])).
% 12.76/13.00 tff(911,plain,
% 12.76/13.00 ((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2) <=> (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2)),
% 12.76/13.00 inference(symmetry,[status(thm)],[910])).
% 12.76/13.00 tff(912,plain,
% 12.76/13.00 ((~(tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2)) <=> (~(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2))),
% 12.76/13.00 inference(monotonicity,[status(thm)],[911])).
% 12.76/13.00 tff(913,plain,
% 12.76/13.00 (^[X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : refl(((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4)))) <=> ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4)))))),
% 12.76/13.00 inference(bind,[status(th)],[])).
% 12.76/13.00 tff(914,plain,
% 12.76/13.00 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4)))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))),
% 12.76/13.00 inference(quant_intro,[status(thm)],[913])).
% 12.76/13.00 tff(915,plain,
% 12.76/13.00 (^[X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : rewrite(((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))) <=> ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4)))))),
% 12.76/13.00 inference(bind,[status(th)],[])).
% 12.76/13.00 tff(916,plain,
% 12.76/13.00 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))),
% 12.76/13.00 inference(quant_intro,[status(thm)],[915])).
% 12.76/13.00 tff(917,plain,
% 12.76/13.00 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 12.76/13.00 inference(rewrite,[status(thm)],[])).
% 12.76/13.00 tff(918,plain,
% 12.76/13.00 (^[X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : trans(monotonicity(rewrite((((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2))) <=> ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))), ((send_message(X109, X110, X111, X112, X113) => (((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2)))) <=> (send_message(X109, X110, X111, X112, X113) => ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))))), rewrite((send_message(X109, X110, X111, X112, X113) => ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))) <=> ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))), ((send_message(X109, X110, X111, X112, X113) => (((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2)))) <=> ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))))),
% 12.76/13.00 inference(bind,[status(th)],[])).
% 12.76/13.00 tff(919,plain,
% 12.76/13.00 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : (send_message(X109, X110, X111, X112, X113) => (((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2)))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 12.76/13.00 inference(quant_intro,[status(thm)],[918])).
% 12.76/13.00 tff(920,axiom,(![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : (send_message(X109, X110, X111, X112, X113) => (((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_46')).
% 12.76/13.00 tff(921,plain,
% 12.76/13.00 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[920, 919])).
% 12.76/13.00 tff(922,plain,
% 12.76/13.00 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[921, 917])).
% 12.76/13.00 tff(923,plain,(
% 12.76/13.00 ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 12.76/13.00 inference(skolemize,[status(sab)],[922])).
% 12.76/13.00 tff(924,plain,
% 12.76/13.00 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[923, 916])).
% 12.76/13.00 tff(925,plain,
% 12.76/13.00 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[924, 914])).
% 12.76/13.00 tff(926,plain,
% 12.76/13.00 (((~![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))) | ((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp4))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))) | (~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp4))))),
% 12.76/13.00 inference(rewrite,[status(thm)],[])).
% 12.76/13.00 tff(927,plain,
% 12.76/13.00 ((~![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))) | ((~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp4))))),
% 12.76/13.00 inference(quant_inst,[status(thm)],[])).
% 12.76/13.00 tff(928,plain,
% 12.76/13.00 ((~![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))) | (~send_message(tptp_fun_X127_17(X135!18, X134!19, tptp0), tptp_fun_X128_16(X135!18, X134!19, tptp0), tptp_fun_X129_15(X135!18, X134!19, tptp0), X134!19, tptp0)) | (~((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp4)))),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[927, 926])).
% 12.76/13.00 tff(929,plain,
% 12.76/13.00 (~((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp4))),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[928, 925, 607])).
% 12.76/13.00 tff(930,plain,
% 12.76/13.00 (((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp4)) | (~(tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2))),
% 12.76/13.00 inference(tautology,[status(thm)],[])).
% 12.76/13.00 tff(931,plain,
% 12.76/13.00 (~(tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2)),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[930, 929])).
% 12.76/13.00 tff(932,plain,
% 12.76/13.00 (~(tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2)),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[931, 912])).
% 12.76/13.00 tff(933,plain,
% 12.76/13.00 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2))),
% 12.76/13.00 inference(rewrite,[status(thm)],[])).
% 12.76/13.00 tff(934,plain,
% 12.76/13.00 (((tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2))) <=> ((~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2))),
% 12.76/13.00 inference(rewrite,[status(thm)],[])).
% 12.76/13.00 tff(935,plain,
% 12.76/13.00 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2)))),
% 12.76/13.00 inference(monotonicity,[status(thm)],[934])).
% 12.76/13.00 tff(936,plain,
% 12.76/13.00 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2))),
% 12.76/13.00 inference(transitivity,[status(thm)],[935, 933])).
% 12.76/13.00 tff(937,plain,
% 12.76/13.00 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)))),
% 12.76/13.00 inference(quant_inst,[status(thm)],[])).
% 12.76/13.00 tff(938,plain,
% 12.76/13.00 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2)),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[937, 936])).
% 12.76/13.00 tff(939,plain,
% 12.76/13.00 ((~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp2)),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[938, 266, 216])).
% 12.76/13.00 tff(940,plain,
% 12.76/13.00 ($false),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[939, 932, 909])).
% 12.76/13.00 tff(941,plain,(~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp2)), inference(lemma,lemma(discharge,[]))).
% 12.76/13.00 tff(942,plain,
% 12.76/13.00 (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2)),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[941, 908])).
% 12.76/13.00 tff(943,plain,
% 12.76/13.00 (((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp0)) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp4))) | (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))),
% 12.76/13.00 inference(tautology,[status(thm)],[])).
% 12.76/13.00 tff(944,plain,
% 12.76/13.00 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[943, 840])).
% 12.76/13.00 tff(945,plain,
% 12.76/13.00 ((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)),
% 12.76/13.00 inference(tautology,[status(thm)],[])).
% 12.76/13.00 tff(946,plain,
% 12.76/13.00 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[945, 944])).
% 12.76/13.00 tff(947,plain,
% 12.76/13.00 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[946, 942])).
% 12.76/13.00 tff(948,assumption,(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18))), introduced(assumption)).
% 12.76/13.00 tff(949,plain,
% 12.76/13.00 (tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)) = tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))))),
% 12.76/13.00 inference(symmetry,[status(thm)],[948])).
% 12.76/13.00 tff(950,plain,
% 12.76/13.00 (occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3) <=> occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)),
% 12.76/13.00 inference(monotonicity,[status(thm)],[949])).
% 12.76/13.00 tff(951,plain,
% 12.76/13.00 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3) <=> occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)),
% 12.76/13.00 inference(symmetry,[status(thm)],[950])).
% 12.76/13.00 tff(952,assumption,(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3)), introduced(assumption)).
% 12.76/13.00 tff(953,plain,
% 12.76/13.00 (occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)),
% 12.76/13.00 inference(modus_ponens,[status(thm)],[952, 951])).
% 12.76/13.00 tff(954,assumption,(~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)), introduced(assumption)).
% 12.76/13.00 tff(955,plain,
% 12.76/13.00 ($false),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[954, 953])).
% 12.76/13.00 tff(956,plain,((~(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))) = tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)))) | occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))), inference(lemma,lemma(discharge,[]))).
% 12.76/13.00 tff(957,plain,
% 12.76/13.00 (occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3) | (~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X2_0(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X134!19), X134!19, tptp0)))), tptp3))),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[956, 905])).
% 12.76/13.00 tff(958,plain,
% 12.76/13.00 (occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)),
% 12.76/13.00 inference(unit_resolution,[status(thm)],[957, 947])).
% 12.76/13.00 tff(959,plain,
% 12.76/13.00 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3))),
% 12.76/13.00 inference(rewrite,[status(thm)],[])).
% 12.76/13.00 tff(960,plain,
% 12.76/13.00 (((tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3))) <=> ((~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3))),
% 12.76/13.00 inference(rewrite,[status(thm)],[])).
% 12.76/13.00 tff(961,plain,
% 12.76/13.00 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3)))),
% 12.76/13.00 inference(monotonicity,[status(thm)],[960])).
% 12.76/13.00 tff(962,plain,
% 12.76/13.00 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3))),
% 12.85/13.01 inference(transitivity,[status(thm)],[961, 959])).
% 12.85/13.01 tff(963,plain,
% 12.85/13.01 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)))),
% 12.85/13.01 inference(quant_inst,[status(thm)],[])).
% 12.85/13.01 tff(964,plain,
% 12.85/13.01 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp3)) | (~occurrence_of(tptp_fun_X2_0(X135!18, tptp_fun_X42_4(X135!18)), tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)))) | (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3)),
% 12.85/13.01 inference(modus_ponens,[status(thm)],[963, 962])).
% 12.85/13.01 tff(965,plain,
% 12.85/13.01 (tptp_fun_X42_4(tptp_fun_X130_14(X135!18, X134!19, tptp0)) = tptp3),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[964, 266, 958, 216])).
% 12.85/13.01 tff(966,plain,
% 12.85/13.01 (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3),
% 12.85/13.01 inference(transitivity,[status(thm)],[602, 965])).
% 12.85/13.01 tff(967,plain,
% 12.85/13.01 (((tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp2) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3) | (tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp4)) | (~(tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3))),
% 12.85/13.01 inference(tautology,[status(thm)],[])).
% 12.85/13.01 tff(968,plain,
% 12.85/13.01 (~(tptp_fun_X127_17(X135!18, X134!19, tptp0) = tptp3)),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[967, 929])).
% 12.85/13.01 tff(969,plain,
% 12.85/13.01 ($false),
% 12.85/13.01 inference(unit_resolution,[status(thm)],[968, 966])).
% 12.85/13.01 % SZS output end Proof
% 12.85/13.01 % E exiting
%------------------------------------------------------------------------------